Transmitting/receiving apparatus and method in a closed-loop MIMO system

CROSS REFERENCE TO RELATED PATENT APPLICATIONS

This application claims the benefit under 35 U.S.C. § 119(a) of Korean patent applications serial numbers 2005-19851, 2005-21163, 2005-35675 and 2005-37174 filed in the Korean Intellectual Property Office on Mar. 9, 2005, Mar. 14, 2005, Apr. 28, 2005 and May 3, 2005, respectively. The entire contents of all four of these Korean patent applications are hereby incorporated by reference.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to a closed-loop Multiple-Input Multiple-Output (MIMO) system. More particularly, the present invention relates to an apparatus and method for correcting power imbalance between antennas in a closed-loop MIMO communication system using a codebook.

2. Description of the Related Art

In general, many systems use beamforming for transmission in order to increase received Signal-to-Noise Ratio (SNR) or decrease the Mean Square Error (MSE) of a received signal. To select an optimal beamforming vector or matrix, a receiver (or terminal) needs to compute the following equation and sends back the resulting vector or matrix w₁to a transmitter on a feedback channel.
$\begin{matrix} \arg \min_{xbit} \frac{E_{s}}{N_{o}} tr {{(I_{N_{t}} + \frac{E_{s}}{N_{r} N_{o}} w_{l}^{H} H^{H} {Hw}_{l})}^{- 1}} & (1) \end{matrix}$

where w₁denotes a beamforming vector or matrix selected from a known codebook, N_tdenotes the number of transmit antennas, N_rdenotes the number of receive antennas, I denotes an identity matrix, H denotes a channel coefficient matrix between the transmit antennas and the receive antennas, E_sdenotes signal energy, and N_odenotes noise power.

Particularly, since the Frequency Division Duplex (FDD) system cannot utilize channel reciprocity, it uses quantized feedback information. The current IEEE 802.16e system determines a beamforming matrix using 3-bit or 6-bit quantized feedback information.

For better understanding, the beamforming matrix codebook used for the IEEE 802.16e system is taken as an example. Table 1 below illustrates part of the codebook.

TABLE 1IndexColumn 1Column 2w1001001w2−0.7201 + j0.3126 0.2483 + j0.2684−0.2326 0.1898 + j0.5419 0.1898 − j0.54190.7325w3−0.0659 − j0.1371−0.6283 + j0.57630.9537 0.0752 + j0.2483 0.0752 − j0.2483−0.4537w4−0.0063 − j0.6527 0.4621 + j0.33210.1477 0.4394 − j0.5991 0.4394 + j0.59910.3522w5 0.7171 − j0.3202−0.2533 − j0.2626−0.2337 0.1951 + j0.5390 0.1951 − j0.53900.7337w6 0.4819 + j0.4517 0.2963 + j0.48010.1354−0.7127 − j0.1933−0.7127 + j0.19330.3692w7 0.0686 + j0.1386 0.6200 − j0.58450.9522 0.0770 + j0.2521 0.0770 − j0.2521−0.4522w8−0.0054 + j0.6540−0.4566 − j0.33740.1446 0.4363 − j0.6009 0.4363 + j0.60090.3554

In Table 1, Column 1 and Column 2 represent transmission streams and the rows in each w represent transmit antennas, that is, first, second and third antennas, respectively. Table 1 is for the case of three transmit antennas, two transmission streams and 3-bit feedback information. The receiver computes Eq. (1) sequentially over the beamforming matrices w1 to w8 in the above codebook and selects a beamforming matrix that minimizes Eq. (1). The receiver then feeds back the index of the selected beamforming matrix in three bits. The transmitter carried out beamforming by multiplying a transmission vector by the beamforming matrix indicated by the index. This beamforming enhances link performance. The current IEEE 802.16e system adopts 19 different codebooks for two to four transmit antennas, one to four streams, and 3-bit or 6-bit feedback information.

As noted from Table 1, however, the codebook-based beamforming widely used suffers from power imbalance due to power concentration on a particular antenna. If the receiver selects w1 as an optimal w over a received channel in Table 1, the first antenna is excluded from transmission in w1. The same problem is observed in many other codebooks. Typically, a system separately allocates its limited total transmit power to antennas and given w1, it concentrates the transmit power on the second and third antennas.

FIG. 1 is a block diagram of a conventional closed-loop MIMO system.

Referring to FIG. 1, a transmitter includes a coder and modulator 101, a beamforming matrix decider 102, a beamformer 103, and a plurality of transmit antennas 104 to 105. A receiver includes a plurality of receive antennas 106 to 107, a channel and symbol estimator 108, a demodulator and decoder 109, and a beamforming matrix selector 110.

In a transmission operation, the coder and modulator 101 encodes transmission data in a predetermined coding scheme and modulates the coded data in a predetermined modulation scheme. The beamforming matrix decider 102 generates a beamforming matrix indicated by a feedback index received from the receiver. The beamformer 103 multiplies the transmission vector (that is, complex symbols) received form the coder and modulator 101 by the beamforming matrix and transmits the resulting signals through the antennas 104 to 105.

In a reception operation, signals received through the antennas 106 to 107 are added with noise n₁to n_N_Rand then provided to the channel and symbol estimator 108. The channel and symbol estimator 108 calculates a channel coefficient matrix by channel estimation and estimates received symbols using a received vector and the channel coefficient matrix. The demodulator and decoder 109 demodulates and decodes the estimated symbols, thereby recovering the original information data. Meanwhile, the beamforming matrix selector 110 selects a beamforming matrix by computing Eq. (1) using the channel coefficient matrix and a codebook and feeds back the index of the selected beamforming matrix to the transmitter.

However, the codebooks proposed so far include beamforming matrices which lead to power concentration on particular antennas, as described above. Accordingly, a need exists for a method of correcting power imbalance between antennas.

SUMMARY OF THE INVENTION

An exemplary object of the present invention is to address at least the above problems and/or disadvantages and to provide at least the advantages below. Accordingly, an object of the present invention is to provide an apparatus and method for correcting power imbalance between antennas and reducing peak power in a closed-loop MIMO communication system.

Another exemplary object of the present invention is to provide an apparatus and method for preventing power concentration on a particular antenna and reducing peak power by multiplying a transmission vector by a beamforming matrix and then multiplying the product by a predetermined phase rotation matrix in a closed-loop MIMO communication system.

A further exemplary object of the present invention is to provide an apparatus and method for preventing power concentration on a particular antenna and reducing peak power by multiplying a transmission vector by a beamforming matrix and then multiplying the product by a unitary matrix in a closed-loop MIMO communication system using a codebook.

Still another object of the present invention is to provide an apparatus and method for preventing power concentration on a particular antenna and reducing peak power by multiplying a transmission vector by a beamforming matrix and then multiplying the product by a Hadamard matrix in a closed-loop MIMO communication system using a codebook.

Yet another exemplary object of the present invention is to provide an apparatus and method for preventing power concentration on a particular antenna and reducing peak power by multiplying a transmission vector by a beamforming matrix and then multiplying the product by a Vandermonde matrix in a closed-loop MIMO communication system using a codebook.

Yet further exemplary object of the present invention is to provide an apparatus and method for preventing power concentration on a particular antenna and reducing peak power by multiplying a transmission vector by a beamforming matrix and then multiplying the product by a Fast Fourier Transform (FFT) matrix in a closed-loop MIMO communication system using a codebook.

The above exemplary objects are achieved by providing an apparatus and method for preventing power imbalance between antennas in a closed-loop MIMO system.

According to one exemplary aspect of the present invention, in a transmitter in a MIMO system, a first calculator generates a vector by multiplying a transmission vector by a beamforming matrix and a second calculator generates a plurality of antenna signals by multiplying the vector by a predetermined phase rotation matrix.

According to another exemplary aspect of the present invention, in a transmission method in a MIMO system, a vector is generated by multiplying a transmission vector by a beamforming matrix, and a plurality of antenna signals are generated by multiplying the vector by a predetermined phase rotation matrix.

According to a further exemplary aspect of the present invention, in a transmitter in a MIMO system, a generator, which has a codebook with new beamforming matrices created by multiplying predetermined beamforming matrices by a phase rotation matrix, generates a beamforming matrix by searching the codebook based on feedback information received from a receiver. A calculator generates a plurality of antenna signals by multiplying a transmission vector by the generated beamforming matrix.

According to still another exemplary aspect of the present invention, in a transmission method in a MIMO system, a beamforming matrix is generated by searching a stored codebook based on feedback information received from a receiver. The codebook has new beamforming matrices created by multiplying predetermined beamforming matrices by a phase rotation matrix. A plurality of antenna signals are generated by multiplying a transmission vector by the generated beamforming matrix.

BRIEF DESCRIPTION OF THE DRAWINGS

The above and other objects, features and advantages of the present invention will become more apparent from the following detailed description when taken in conjunction with the accompanying drawings in which like reference numerals will be understood to refer to like parts, components and structures, where:

FIG. 1 is a block diagram of a conventional closed-loop MIMO system;

FIG. 2 is a block diagram of a closed-loop MIMO system according to an embodiment of the present invention;

FIG. 3 is a graph illustrating the Complementary Cumulative Distribution Function (CCDF) of the Peak-to-Average Power Ratios (PAPRs) of antennas for the use of a conventional codebook and the use of a codebook of the present invention; and

FIG. 4 is a graph comparing the conventional codebook with the codebook of the present invention in terms of link performance.

DETAILED DESCRIPTION OF EXEMPLARY EMBODIMENTS

Certain exemplary embodiments of the present invention will be described herein below with reference to the accompanying drawings. In the following description, description of well-known functions or constructions have been omitted for clarity and conciseness.

An exemplary implementation of the present invention is intended to provide a method of correcting power imbalance between antennas by multiplying a transmission vector by a beamforming matrix and then by a predetermined phase rotation matrix, prior to transmission in a closed-loop MIMO communication system.

FIG. 2 is a block diagram of a closed-loop MIMO system according to an exemplary embodiment of the present invention.

Referring to FIG. 2, a transmitter includes a coder and modulator 201, a beamforming matrix decider 202, a beamformer 203, and a plurality of transmit antennas 204 to 205. A receiver includes a plurality of receive antennas 206 to 207, a channel and symbol estimator 208, a demodulator and decoder 209, and a beamforming matrix selector 210. In an exemplary implementation of the present invention, the beamformer 203 includes a beamforming matrix W multiplier 213 and a phase rotation matrix R multiplier 223 according to the present invention.

In a reception operation, signals received through the antennas 206 to 207 are added with noise n₁to n_N_Rand then provided to the channel and symbol estimator 208. The channel and symbol estimator 208 calculates a channel coefficient matrix by channel estimation and estimates received symbols using a received vector and the channel coefficient matrix. A Zero-Forcing (ZF) or Minimum Mean Square Error (MMSE) algorithm can be used as a symbol estimation algorithm. The demodulator and decoder 209 demodulates and decodes the estimated symbols, thereby recovering the original information data.

Meanwhile, the beamforming matrix selector 210 selects a beamforming matrix by computing Eq. (1) using the channel coefficient matrix and a codebook according to an exemplary embodiment of the present invention and feeds back the index of the selected beamforming matrix to the transmitter. Eq. (1) is one of many algorithms available in selection of a beamforming matrix and thus any other algorithm can be used instead.

A codebook according to an exemplary embodiment of the present invention includes beamforming matrices w_newcreated by multiplying beamforming matrices w by a predetermined phase rotation matrix R. The codebook may provide only the new beamforming matrices w_new, or both beamforming matrices w and the phase rotation matrix R. Hence, the feedback information sent to the transmitter can be an index indicating w_newor w. Exemplary embodiments of the phase rotation matrix R will be described later in detail with reference to relevant equations.

In a transmission operation, the coder and modulator 201 encodes transmission data in a predetermined coding scheme and modulates the coded data in a predetermined modulation scheme. The coding scheme can be convolutional coding, turbo coding, complementary turbo coding, or Low Density Parity Check (LDPC) coding. The modulation scheme can be Binary Phase Shift Keying (BPSK), Quadrature Phase Shift Keying (QPSK), 8ary Quadrature Amplitude Modulation (8 QAM), 16 QAM or 64 QAM. One bit (s=1) is mapped to one signal point (complex signal) in BPSK, two bits (s=2) to one complex signal in QPSK, three bits (s=3) to one complex signal in 8 QAM, four bits (s=4) to one complex signal in 16 QAM, and six bits (s=6) to one complex signal in 64 QAM.

The beamforming matrix selector 202 generates a beamforming matrix w and the phase rotation matrix R according to the feedback index received from the receiver.

In the beamformer 203, the W multiplier 213 multiplies the transmission vector (that is, complex symbols) received form the coder and modulator 201 by the beamforming matrix w. The R multiplier 223 multiplies the vector received form the W multiplier 213 by the phase rotation matrix R and transmits the resulting signals through the antennas 204 to 205. Consequently, the transmission vector is multiplied by the new beamforming matrix w_newof the present invention, prior to transmission.

The following is a description of a phase rotation matrix R according to an exemplary embodiment the present invention.

The phase rotation matrix R has no effects on link performance, that is, the nature of an optimally designed codebook. It does not affect the PAPR of each antenna either. Yet, the use of the phase rotation matrix R addresses the problems of power imbalance and high peak power.

In order to keep the nature of the current codebooks intact, the phase rotation matrix R should be designed so as to substantially fulfill the following conditions.

The phase rotation matrix R should be unitary. Although any unitary matrix can be used as the phase rotation matrix R, the following three exemplary implementations are provided to facilitate understanding, considering implementation complexity.

For two transmit antennas (N_t=2), a 2×2 Hadamard matrix is used as the phase rotation matrix R, expressed as
$\begin{matrix} R_{2} = \frac{1}{\sqrt{2}} [\begin{matrix} 1 & 1 \\ 1 & - 1 \end{matrix}] & (2) \end{matrix}$

For four transmit antennas (N_t=4), a 4×4 Hadamard matrix is used as the phase rotation matrix R, expressed as
$\begin{matrix} R_{4} = \frac{1}{2} [\begin{matrix} 1 & 1 & 1 & 1 \\ 1 & - 1 & 1 & - 1 \\ 1 & 1 & - 1 & - 1 \\ 1 & - 1 & - 1 & 1 \end{matrix}] & (3) \end{matrix}$

<Vandermonde Matrix>

For N_tantennas, a N_t×N_tVandermonde matrix is used as the phase rotation matrix R, expressed as
$\begin{matrix} R_{N_{t}} = \frac{1}{\sqrt{N_{t}}} [\begin{matrix} 1 & a_{0}^{1} & a_{0}^{2} & \dots & a_{0}^{N_{t} - 1} \\ 1 & a_{1}^{1} & a_{1}^{2} & \dots & a_{1}^{N_{t} - 1} \\ ⋮ & ⋮ & ⋰ & \dots & ⋮ \\ 1 & a_{N_{t} - 1}^{1} & a_{N_{t} - 1}^{2} & \dots & a_{N_{t} - 1}^{N_{t} - 1} \end{matrix}] & (4) \end{matrix}$

where a_i=exp(j2π(i+¼)/N_t), (i=0, 1, 2, . . . , N_t−1)

With the Vandermonde matrix, a unitary matrix can be created freely for any number of transmit antennas.

For example, for two transmit antennas (N_t=2), a 2×2 Vandermonde matrix is used as the phase rotation matrix R, expressed as
$\begin{matrix} R_{2} = \frac{1}{\sqrt{2}} [\begin{matrix} 1 & ⅇ^{j π / 4} \\ 1 & ⅇ^{j 5 π / 4} \end{matrix}] & (5) \end{matrix}$

For three transmit antennas (N_t=3), a 3×3 Vandermonde matrix is used as the phase rotation matrix R, expressed as
$\begin{matrix} R_{3} = \frac{1}{\sqrt{3}} [\begin{matrix} 1 & ⅇ^{j 5 π / 4} & ⅇ^{j 10 π / 9} \\ 1 & ⅇ^{j 11 π / 4} & ⅇ^{j 4 π / 9} \\ 1 & ⅇ^{j 17 π / 4} & ⅇ^{j 16 π / 9} \end{matrix}] & (6) \end{matrix}$

<FFT Matrix>

For N_tantennas, a N_t×N_tFFT matrix is used as the phase rotation matrix R, expressed as
$\begin{matrix} R_{N_{t}} = \frac{1}{\sqrt{N_{t}}} [\begin{matrix} 1 & a_{0}^{1} & a_{0}^{2} & \dots & a_{0}^{N_{t} - 1} \\ 1 & a_{1}^{1} & a_{1}^{2} & \dots & a_{1}^{N_{t} - 1} \\ ⋮ & ⋮ & ⋰ & \dots & ⋮ \\ 1 & a_{N_{t} - 1}^{1} & a_{N_{t} - 1}^{2} & \dots & a_{N_{t} - 1}^{N_{t} - 1} \end{matrix}] & (7) \end{matrix}$

where a_kⁿ=exp(−j2π×k×n)/N_t), (k, n=0, 1, 2, . . . , N_t−1)

Like the Vandermonde matrix, with the FFT matrix, a unitary matrix can be created freely for any number of transmit antennas.

The phase rotation matrices R created in the above exemplary manner are multiplied by the following codebook adopted in IEEE 802.16e, resulting in a new codebook as shown in Table 2 below.

TABLE 2For two transmit antennas, one transmissionstream, and 3-bit feedback information,m_cb(:, :, 1) = 1.0000 −0.0000 − 0.0000im_cb(:, :, 2) = 0.7940 − 0.0000i −0.5801 + 0.1818im_cb(:, :, 3) = 0.7940 0.0576 + 0.6501im_cb(:, :, 4) = 0.7941 − 0.0000i −0.2978 − 0.5298im_cb(:, :, 5) = 0.7941 0.6038 + 0.0689im_cb(:, :, 6) = 0.3289 − 0.0000i 0.6614 + 0.6740im_cb(:, :, 7) = 0.5112 0.4754 − 0.7160im_cb(:, :, 8) = 0.3289 + 0.0000i −0.8779 − 0.3481iFor two transmit antennas, one transmissionstream, and 6-bit feedback information,m_cb(:, :, 1) = 1.0000 + 0.0000i 0 − 0.0000im_cb(:, :, 2) = 0.9744 + 0.0000i 0.2035 − 0.0961im_cb(:, :, 3) = 0.9743 − 0.0000i −0.2250 − 0.0050im_cb(:, :, 4) = 0.9743 + 0.0000i −0.0621 + 0.2166im_cb(:, :, 5) = 0.9741 + 0.0000i 0.1822 + 0.1340im_cb(:, :, 6) = 0.9739 + 0.0000i 0.0022 − 0.2268im_cb(:, :, 7) = 0.9321 + 0.0000i −0.2925 + 0.2136im_cb(:, :, 8) = 0.9320 + 0.0000i −0.2243 − 0.2847im_cb(:, :, 9) = 0.9208 − 0.0000i 0.3890 + 0.0303im_cb(:, :, 10) = 0.9207 + 0.0000i 0.2238 − 0.3196im_cb(:, :, 11) = 0.9127 + 0.0000i 0.2039 + 0.3542im_cb(:, :, 12) = 0.9048 − 0.0000i −0.4083 − 0.1212im_cb(:, :, 13) = 0.8992 − 0.0000i −0.0783 + 0.4305im_cb(:, :, 14) = 0.8972 + 0.0000i 0.0093 − 0.4416im_cb(:, :, 15) = 0.8694 + 0.0000i 0.4479 − 0.2085im_cb(:, :, 16) = 0.8629 − 0.0000i 0.4307 + 0.2645im_cb(:, :, 17) = 0.8603 + 0.0000i −0.4974 + 0.1120im_cb(:, :, 18) = 0.8436 + 0.0000i −0.3229 + 0.4291im_cb(:, :, 19) = 0.8361 + 0.0000i −0.2299 − 0.4980im_cb(:, :, 20) = 0.8221 − 0.0000i 0.1186 + 0.5569im_cb(:, :, 21) = 0.8218 + 0.0000i −0.4533 − 0.3452im_cb(:, :, 22) = 0.8160 + 0.0000i 0.2462 − 0.5229im_cb(:, :, 23) = 0.8094 + 0.0000i 0.5844 + 0.0586im_cb(:, :, 24) = 0.7886 + 0.0000i −0.6044 − 0.1135im_cb(:, :, 25) = 0.7757 + 0.0000i 0.3859 + 0.4993im_cb(:, :, 26) = 0.7741 + 0.0000i −0.0058 − 0.6330im_cb(:, :, 27) = 0.7737 − 0.0000i −0.1463 + 0.6164im_cb(:, :, 28) = 0.7618 + 0.0000i −0.5536 + 0.3364im_cb(:, :, 29) = 0.7556 + 0.0000i 0.4976 − 0.4259im_cb(:, :, 30) = 0.7252 + 0.0000i 0.6112 + 0.3170im_cb(:, :, 31) = 0.7194 − 0.0000i 0.6705 − 0.1815im_cb(:, :, 32) = 0.6907 − 0.0000i −0.4194 + 0.5891im_cb(:, :, 33) = 0.6842 + 0.0000i −0.2715 − 0.6769im_cb(:, :, 34) = 0.6828 + 0.0000i −0.7221 + 0.1111im_cb(:, :, 35) = 0.6762 + 0.0000i 0.2196 + 0.7032im_cb(:, :, 36) = 0.6744 + 0.0000i −0.5482 − 0.4946im_cb(:, :, 37) = 0.6657 − 0.0000i 0.3454 − 0.6615im_cb(:, :, 38) = 0.6343 + 0.0000i −0.7415 − 0.2187im_cb(:, :, 39) = 0.6156 − 0.0000i 0.5315 + 0.5819im_cb(:, :, 40) = 0.6129 + 0.0000i 0.0320 − 0.7895im_cb(:, :, 41) = 0.6128 + 0.0000i −0.1037 + 0.7834im_cb(:, :, 42) = 0.5915 − 0.0000i −0.6850 + 0.4254im_cb(:, :, 43) = 0.5837 − 0.0000i 0.6336 − 0.5078im_cb(:, :, 44) = 0.5645 + 0.0000i 0.7888 + 0.2432im_cb(:, :, 45) = 0.5466 + 0.0000i 0.8211 − 0.1643im_cb(:, :, 46) = 0.5173 − 0.0000i −0.4757 − 0.7114im_cb(:, :, 47) = 0.5119 + 0.0000i −0.4493 + 0.7322im_cb(:, :, 48) = 0.5018 + 0.0000i −0.8626 + 0.0643im_cb(:, :, 49) = 0.4938 − 0.0000i 0.2917 + 0.8192im_cb(:, :, 50) = 0.4780 + 0.0000i 0.3911 − 0.7865im_cb(:, :, 51) = 0.4562 + 0.0000i −0.7982 − 0.3934im_cb(:, :, 52) = 0.4281 + 0.0000i 0.6905 + 0.5831im_cb(:, :, 53) = 0.4259 + 0.0000i −0.0806 − 0.9012im_cb(:, :, 54) = 0.3921 + 0.0000i −0.7794 + 0.4887im_cb(:, :, 55) = 0.3822 − 0.0000i 0.7782 − 0.4983im_cb(:, :, 56) = 0.3761 − 0.0000i 0.9220 + 0.0917im_cb(:, :, 57) = 0.3716 − 0.0000i −0.1199 + 0.9206im_cb(:, :, 58) = 0.3080 − 0.0000i −0.5759 − 0.7573im_cb(:, :, 59) = 0.2816 + 0.0000i −0.9571 − 0.0684im_cb(:, :, 60) = 0.2568 + 0.0000i 0.3374 − 0.9057im_cb(:, :, 61) = 0.2346 + 0.0000i 0.4811 + 0.8447im_cb(:, :, 62) = 0.1951 − 0.0000i −0.5888 + 0.7844im_cb(:, :, 63) = 0.1653 + 0.0000i 0.9768 − 0.1362im_cb(:, :, 64) = 0.0866 − 0.0000i −0.6811 − 0.7271iFor two transmit antennas, two transmissionstreams, and 3-bit feedback information,m_cb(:, :, 1) = 1 0 0 1m_cb(:, :, 2) = 0.7940−0.5801 − 0.1818i −0.5801 + 0.1818i−0.7940m_cb(:, :, 3) = 0.79400.0576 − 0.6051i 0.0576 + 0.6051i−0.7940m_cb(:, :, 4) = 0.7941−0.2978 + 0.5298i −0.2978 − 0.5298i−0.7941m_cb(:, :, 5) = 0.79410.6038 − 0689i 0.6038 + 0.0689i−0.7941m_cb(:, :, 6) = 0.32890.6614 − 0.6740i 0.6614 + 0.6740i−0.3289m_cb(:, :, 7) = 0.51120.4754 + 0.7160i 0.4754 − 7160i−0.5112m_cb(:, :, 8) = 0.3289−0.8779 + 0.3481i −0.8779 − 0.3481i−0.3289For two transmit antennas, two transmissionstreams, and 6-bit feedback information,m_cb(:, :, 1) = 1 0 0 1m_cb(:, :, 2) = 0.97440.2035 + 0.0961i 0.2035 − 0.0961i−0.9744m_cb(:, :, 3) = 0.9743−0.2250 + 0.0050i −0.2250 − 0.0050i− 0.9743m_cb(:, :, 4) = 0.9743−0.0621 − 0.2166i −0.0621 + 0.2166i−0.9743m_cb(:, :, 5) = 0.97410.1822 − 0.1340i 0.1822 + 0.1340i−0.9741m_cb(:, :, 6) = 0.97390.0022 + 0.2268i 0.0022 − 0.2268i−0.9739m_cb(:, :, 7) = 0.9321−0.2925 − 0.2136i −0.2925 + 0.2136i−0.9321m_cb(:, :, 8) = 0.9320−0.2243 + 0.2847i −0.2243 − 0.2847i−0.9320m_cb(:, :, 9) = 0.92080.3890 − 0.0303i 0.3890 + 0.0303i−0.9208m_cb(:, :, 10) = 0.92070.2238 + 0.3196i 0.2238 − 0.3196i−0.9207m_cb(:, :, 11) = 0.91270.2039 − 0.3542i 0.2039 + 0.3542i−0.9127m_cb(:, :, 12) = 0.9048−0.4083 + 0.1212i −0.4083 − 0.1212i−0.9048m_cb(:, :, 13) = 0.8992−0.0783 − 0.4305i −0.0783 + 0.4305i−0.8992m_cb(:, :, 14) = 0.89720.0093 + 0.4416i 0.0093 − 0.4416i−0.8972m_cb(:, :, 15) = 0.86940.4479 + 0.2085i 0.4479 − 0.2085i−0.8694m_cb(:, :, 16) = 0.86290.4307 − 0.2645i 0.4307 + 0.2645i−0.8629m_cb(:, :, 17) = 0.8603−0.4974 − 0.1120i −0.4974 + 0.1120i−0.8603m_cb(:, :, 18) = 0.8436−0.3229 − 0.4291i −0.3229 + 0.4291i−0.8436m_cb(:, :, 19) = 0.8361−0.2299 − 0.4980i −0.2299 − 0.4980i−0.8361m_cb(:, :, 20) = 0.822110.1186 − 0.5569i 0.1186 ÷ 0.5569i−0.8221m_cb(:, :, 21) = 0.8218−0.4533 + 0.3452i −0.4533 − 0.3452i−0.8218m_cb(:, :, 22) = 0.81600.2462 + 0.5229i 0.2462 − 0.5229i−0.8160m_cb(:, :, 23) = 0.80940.5844 − 0.0586i 0.5844 + 0.0586i−0.8094m_cb(:, :, 24) = 0.7886−0.6044 + 0.1135i −0.6044 − 0.1135i−0.7886m_cb(:, :, 25) = 0.77570.3859 − 0.4993i 0.3859 ÷ 0.4993i−0.7757m_cb(:, :, 26) = 0.7741−0.0058 + 0.6330i −0.0058 − 0.6330i−0.7741m_cb(:, :, 27) = 0.7737−0.1463 − 0.6164i −0.1463 + 0.6164i−0.7737m_cb(:, :, 28) = 0.7618−0.5536 − 0.3364i −0.5536 + 0.3364i−0.7618m_cb(:, :, 29) = 0.75560.4976 + 0.4259i 0.4976 − 0.4259i−0.7556m_cb(:, :, 30) = 0.72520.6112 − 0.3170i 0.6112 + 0.3170i−0.7252m_cb(:, :, 31) = 0.71940.6705 + 0.1815i 0.6705 − 0.1815i−0.7194m_cb(:, :, 32) = 0.6907−0.4194 − 0.5891i −0.4194 + 0.5891i−0.6907m_cb(:, :, 33) = 0.6842−0.2715 + 0.6769i −0.2715 − 0.6769i−0.6842m_cb(:, :, 34) = 0.6828−0.7221 − 0.1111i −0.7221 + 0.1111i−0.6828m_cb(:, :, 35) = 0.67620.2196 − 0.7032i 0.2196 + 0.7032i−0.6762m_cb(:, :, 36) = 0.6744−0.5482 + 0.4946i −0.5482 − 0.4946i−0.6744m_cb(:, :, 37) = 0.66570.3454 + 0.6615i 0.3454 − 0.6615i−0.6657m_cb(:, :, 38) = 0.6343−0.7415 + 0.2187i −0.7415 − 0.2187i−0.6343m_cb(:, :, 39) = 0.61560.5315 − 0.5819i 0.5315 + 0.5819i−0.6156m_cb(:, :, 40) = 0.61290.0320 + 0.7895i 0.0320 − 0.7895i−0.6129m_cb(:, :, 41) = 0.6128−0.1037 − 0.7834i −0.1037 + 0.7834i−0.6128m_cb(:, :, 42) = 0.5915−0.6850 − 0.4254i −0.6850 + 0.4254i−0.5915m_cb(:, :, 43) = 0.58370.6336 + 0.5078i 0.6336 − 0.5078i−0.5837m_cb(:, :, 44) = 0.56450.7888 − 0.2432i 0.7888 + 0.2432i−0.5645m_cb(:, :, 45) = 0.54660.8211 + 0.1643i 0.8211 − 0.1643i−0.5468m_cb(:, :, 46) = 0.5173−0.4757 + 0.7114i −0.4757 − 0.7114i−0.5173m_cb(:, :, 47) = 0.5119−0.4493 − 0.7322i −0.4493 + 0.7322i−0.5119m_cb(:, :, 48) = 0.5018−0.8626 − 0.0643i −0.8626 + 0.0643i−0.5018m_cb(:, :, 49) = 0.49380.2917 + 0.8192i 0.2917 + 0.8192i−0.4938m_cb(:, :, 50) = 0.47800.3911 + 0.7865i 0.3911 − 0.7865i−0.4780m_cb(:, :, 51) = 0.4562−0.7982 + 0.3934i −0.7982 − 0.3934i−0.4562m_cb(:, :, 52) = 0.42810.6905 − 0.5831i 0.6905 + 0.5831i−0.4281m_cb(:, :, 53) = 0.4259−0.0806 + 0.9012i −0.0806 − 0.9012i−0.4259m_cb(:, :, 54) = 0.3921−0.7794 − 0.4887i −0.7794 + 0.4887i−0.3921m_cb(:, :, 55) = 0.38220.7782 + 0.4983i 0.7782 − 0.4983i−0.3822m_cb(:, :, 56) = 0.37610.9220 − 0.0917i 0.9220 + 0.0917i−0.3761m_cb(:, :, 57) = 0.3716−0.1199 − 0.9206i −0.1199 + 0.9206i−0.3716m_cb(:, :, 58) = 0.3080−0.5759 + 0.7573i −0.5759 − 0.7573i−0.3080m_cb(:, :, 59) = 0.2816−0.9571 + 0.0684i −0.9571 − 0.0684i−0.2816m_cb(:, :, 60) = 0.25680.3374 + 0.9057i 0.3374 − 0.9057i−0.2568m_cb(:, :, 61) = 0.23460.4811 − 0.8447i 0.4811 + 0.8447i−0.2346m_cb(:, :, 62) = 0.1951−0.5888 − 0.7844i −0.5888 + 0.7844i−0.1951m_cb(:, :, 63) = 0.16530.9768 + 0.1362i 0.9768 − 0.1362i−0.1653m_cb(:, :, 64) = 0.0866−0.6811 + 0.7271i −0.6811 − 0.7271i−0.0866For three transmit antennas, onetransmission stream, and 3-bit feedbackinformation,m_cb(:, :, 1) = 1.0000 −0.0000 − 0.0000i 0.0000 − 0.0000im_cb(:, :, 2) = 0.5000 + 0.0000i −0.7201 − 0.3126i 0.2483 − 0.2684im_cb(:, :, 3) = 0.5000 − 0.0000i −0.0659 + 0.1371i −0.6283 − 0.5763im_cb(:, :, 4) = 0.5000 − 0.0000i −0.0063 + 0.6527i 0.4621 − 0.3321im_cb(:, :, 5) = 0.5000 0.7171 + 0.3202i −0.2533 + 0.2626im_cb(:, :, 6) = 0.4954 − 0.0000i 0.4819 − 0.4517i 0.2963 − 0.4801im_cb(:, :, 7) = 0.5000 0.0686 − 0.1386i 0.6200 + 0.5845im_cb(:, :, 8) = 0.5000 − 0.0000i −0.0054 − 0.6540i −0.4586 + 0.3374iFor three transmit antennas, onetransmission stream, and 6-bit feedbackinformation,m_cb(:, :, 1) = 0.5774 −0.2887 + 0.5000i −0.2887 − 0.5000im_cb(:, :, 2) = 0.5466 + 0.0000i 0.2895 − 0.5522i 0.2440 + 0.5030im_cb(:, :, 3) = 0.5246 − 0.0000i −0.7973 − 0.0214i −0.2517 − 0.1590im_cb(:, :, 4) = 0.5973 − 0.0000i 0.7734 + 0.0785i 0.1208 + 0.1559im_cb(:, :, 5) = 0.4462 −0.3483 − 0.6123i −0.5457 + 0.0829im_cb(:, :, 6) = 0.6662 0.2182 + 0.5942i 0.3876 − 0.0721im_cb(:, :, 7) = 0.4120 + 0.0000i 0.3538 − 0.2134i −0.8046 − 0.1101im_cb(:, :, 8) = 0.6840 + 0.0000i −0.4292 + 0.1401i 0.5698 + 0.0605im_cb(:, :, 9) = 0.4201 + 0.0000i 0.1033 + 0.5446i −0.6685 − 0.2632im_cb(:, :, 10) = 0.6591 + 0.0000i −0.1405 − 0.6096i 0.3470 + 0.2319im_cb(:, :, 11) = 0.4070 − 0.0000i −0.5776 + 0.5744i −0.4133 + 0.0006im_cb(:, :, 12) = 0.6659 + 0.0000i 0.6320 − 0.3939i 0.0417 + 0.0157im_cb(:, :, 13) = 0.3550 −0.7412 − 0.0290i −0.3542 + 0.4454im_cb(:, :, 14) = 0.7173 + 0.0000i 0.4710 + 0.3756i 0.1394 − 0.3211im_cb(:, :, 15) = 0.3070 + 0.0000i −0.0852 − 0.4143i −0.5749 + 0.6295im_cb(:, :, 16) = 0.7400 −0.3257 + 0.3461i 0.3689 − 0.3007im_cb(:, :, 17) = 0.3169 − 0.0000i 0.4970 + 0.1434i −0.6723 + 0.4243im_cb(:, :, 18) = 0.7031 −0.4939 − 0.4297i 0.2729 − 0.0509im_cb(:, :, 19) = 0.3649 − 0.0000i 0.1983 + 0.7795i −0.3404 + 0.3224im_cb(:, :, 20) = 0.6658 + 0.0000i 0.2561 − 0.6902i −0.0958 − 0.0746im_cb(:, :, 21) = 0.3942 − 0.0000i −0.3862 + 0.6614i 0.0940 + 0.4992im_cb(:, :, 22) = 0.6825 0.5632 + 0.0490i −0.1901 − 0.4225im_cb(:, :, 23) = 0.3873 + 0.0000i −0.4531 − 0.0567i 0.2298 + 0.7672im_cb(:, :, 24) = 0.7029 + 0.0000i −0.1291 + 0.4563i 0.0228 − 0.5296im_cb(:, :, 25) = 0.3870 0.2812 − 0.3980i −0.0077 + 0.7828im_cb(:, :, 26) = 0.6658 + 0.0000i −0.6858 − 0.0919i 0.0666 − 0.2711im_cb(:, :, 27) = 0.4436 + 0.0000i 0.7305 + 0.2507i −0.0580 + 0.4511im_cb(:, :, 28) = 0.5972 −0.2385 − 0.7188i −0.2493 − 0.0873im_cb(:, :, 29) = 0.5198 + 0.0000i 0.2157 + 0.7332i 0.2877 + 0.2509im_cb(:, :, 30) = 0.5710 − 0.0000i 0.4513 − 0.3043i −0.5190 − 0.3292im_cb(:, :, 31) = 0.5517 + 0.0000i −0.3892 + 0.3011i 0.5611 + 0.3724im_cb(:, :, 32) = 0.5818 + 0.0000i 0.1190 + 0.4328i −0.3964 − 0.5504im_cb(:, :, 33) = 0.5437 −0.1363 − 0.4648i 0.4162 + 0.5446im_cb(:, :, 34) = 0.5579 −0.6391 + 0.3224i −0.2285 − 0.3523im_cb(:, :, 35) = 0.5649 + 0.0000i 0.6592 − 0.3268i 0.1231 + 0.3526im_cb(:, :, 36) = 0.4840 − 0.0000i −0.6914 − 0.3911i −0.3669 + 0.0096im_cb(:, :, 37) = 0.6348 0.5910 + 0.4415i 0.2296 − 0.0034im_cb(:, :, 38) = 0.4209 0.0760 − 0.5484i −0.7180 + 0.0283im_cb(:, :, 39) = 0.6833 + 0.0000i −0.1769 + 0.4784i 0.5208 − 0.0412im_cb(:, :, 40) = 0.4149 0.3501 + 0.2162i −0.7772 − 0.2335im_cb(:, :, 41) = 0.6726 + 0.0000i −0.4225 − 0.2866i 0.5061 + 0.1754im_cb(:, :, 42) = 0.4190 + 0.0000i −0.2524 + 0.6679i −0.5320 − 0.1779im_cb(:, :, 43) = 0.6547 0.2890 − 0.6562i 0.1615 + 0.1765im_cb(:, :, 44) = 0.3843 + 0.0000i −0.7637 + 0.3120i −0.3465 + 0.2272im_cb(:, :, 45) = 0.6900 0.6998 + 0.0252i 0.0406 − 0.1786im_cb(:, :, 46) = 0.3263 − 0.0000i −0.4920 − 0.3199i −0.4413 + 0.5954im_cb(:, :, 47) = 0.7365 + 0.0000i 0.0693 + 0.4971i 0.2728 − 0.3623im_cb(:, :, 48) = 0.3038 + 0.0000i 0.3052 − 0.2326i −0.6770 + 0.5496im_cb(:, :, 49) = 0.7270 − 0.0000i −0.5479 − 0.0130i 0.3750 − 0.1748im_cb(:, :, 50) = 0.3401 0.4380 + 0.5298i −0.5470 + 0.3356im_cb(:, :, 51) = 0.6791 − 0.0000i −0.1741 − 0.7073i 0.0909 − 0.0028im_cb(:, :, 52) = 0.3844 + 0.0000i −0.1123 + 0.8251i −0.1082 + 0.3836im_cb(:, :, 53) = 0.6683 − 0.0000i 0.5567 − 0.3796i −0.2017 − 0.2423im_cb(:, :, 54) = 0.3940 − 0.0000i −0.5255 + 0.3339i 0.2176 + 0.6401im_cb(:, :, 55) = 0.6976 + 0.0000i 0.2872 + 0.3740i −0.0927 − 0.5314im_cb(:, :, 56) = 0.3819 − 0.0000i −0.1507 − 0.3542i 0.1342 + 0.8294im_cb(:, :, 57) = 0.6922 + 0.0000i −0.5051 + 0.2745i 0.0904 − 0.4269im_cb(:, :, 58) = 0.4083 − 0.0000i 0.6327 − 0.1488i −0.0942 + 0.6341im_cb(:, :, 59) = 0.6306 + 0.0000i −0.5866 − 0.4869i −0.0583 − 0.1337im_cb(:, :, 60) = 0.4841 − 0.0000i 0.5572 + 0.5928i 0.0898 + 0.3096im_cb(:, :, 61) = 0.5761 0.1868 − 0.6492i −0.4292 − 0.1659im_cb(:, :, 62) = 0.5431 + 0.0000i −0.1479 + 0.6238i 0.4646 + 0.2796im_cb(:, :, 63) = 0.5764 − 0.0000i 0.4156 + 0.1263i −0.4947 − 0.4840im_cb(:, :, 64) = 0.5490 + 0.0000i −0.3963 − 0.1208i 0.5426 + 0.4822iFor three transmit antennas, twotransmission streams, and 3-bit feedbackinformation,m_cb(:, :, 1) = 0 0 1 0 0 1m_cb(:, :, 2) = −0.7201 + 0.3126i0.2483 + 0.2684i −0.23260.1698 + 0.5419i 0.1898 − 0.5419i0.7325m_cb(:, :, 3) = −0.0659 − 0.1371i−0.6283 + 0.5763i 0.95370.0752 + 0.2483i 0.0752 − 0.2483i−0.4537m_cb(:, :, 4) = −0.0063 − 0.6527i0.4621 + 0.3321i 0.14770.4394 − 0.5991i 0.4394 + 0.5991i0.3522m_cb(:, :, 5) = 0.7171 − 0.3202i−0.2533 − 0.2626i −0.23370.1951 + 0.5390i 0.1951 − 0.5390i0.7337m_cb(:, :, 6) = 0.4819 + 0.4517i0.2963 + 0.4801i 0.1354−0.7127 − 0.1933i −0.7127 + 0.1933i0.3592m_cb(:, :, 7) = 0.0686 + 0.138610.6200 − 0.5845i 0.95220.0770 + 0.2521i 0.0770 − 0.2521i−0.4522m_cb(:, :, 8) = −0.0054 + 0.6540i−0.4566 − 0.3374i 0.14460.4363 − 0.6009i 0.4363 + 0.6009i0.3554For three transmit antennas, twotransmission streams, and 6-bit feedbackinformation,m_cb(:, :, 1) = 1.00000 01.0000 0−0.0000 − 0.0000im_cb(:, :, 2) = 1.00000 00.7940 − 0.0000i 0−0.5801 + 0.1818im_cb(:, :, 3) = 1.00000 00.7940 00.0576 + 0.6051im_cb(:, :, 4) = 1.00000 00.7941 − 0.0000i 0−0.2978 − 0.5298im_cb(:, :, 5) = 1.00000 00.7941 00.6038 + 0.0689im_cb(:, :, 6) = 1.00000 00.3289 − 0.0000i 00.6614 + 0.6740im_cb(:, :, 7) = 1.00000 00.5112 00.4754 − 0.7160im_cb(:, :, 8) = 1.00000 00.3289 + 0.0000i 0−0.8779 − 0.3481im_cb(:, :, 9) = 0.5000−0.7201 + 0.3126i −0.7201 − 0.3126i−0.2326 − 0.0000i 0.2483 − 0.2684i0.1898 − 0.5419im_cb(:, :, 10) = 0.5000−7646 + 0.1377i −0.7201 − 0.3126i−0.3932 − 0.2798i 0.2483 − 0.2684i−0.2742 − 0.2971im_cb(:, :, 11) = 0.5000−0.7199 + 0.4140i −0.7201 − 0.3126i−0.5016 + 0.1460i 0.2483 − 0.2684i0.1929 + 0.0130im_cb(:, :, 12) = 0.5000−0.5036 + 0.0368i −0.7201 − 0.3126i0.0459 − 0.2619i 0.2483 − 0.2684i−0.0674 − 0.8184im_cb(:, :, 13) = 0.5000−0.4404 + 0.4275i −0.7201 − 0.3126i−0.1074 + 0.3403i 0.2483 − 0.2684i0.5930 − 0.3799im_cb(:, :, 14) = 0.5000−0.2535 + 0.4478i −0.7201 − 0.3126i−0.3162 + 0.4863i 0.2483 − 0.2684i0.5470 + 0.3155im_cb(:, :, 15) = 0.5000−0.0579 + 0.1096i −0.7201 − 0.3126i0.3593 + 0.1217i 0.2483 − 0.2684i0.4453 − 0.8015im_cb(:, :, 16) = 0.5000−0.3614 − 0.2193i −0.7201 − 0.3126i−0.0545 − 0.5418i 0.2483 − 0.2684i−0.5807 − 0.4332im_cb(:, :, 17) = 0.5000−0.0659 − 0.1371i −0.0659 + 0.1371i0.9537 − 0.0000i 0.6283 − 0.5763i0.0752 − 0.2483im_cb(:, :, 18) = 0.50000.2073 − 0.5574i −0.0859 + 0.1371i0.6685 − 0.1304i −0.6283 − 0.5763i0.3229 − 0.2798im_cb(:, :, 19) = 0.5000−0.4373 − 0.4559i −0.0659 + 0.1371i0.6114 + 0.0598i −0.6283 − 0.5763i0.0336 − 0.4717im_cb(:, :, 20) = 0.50000.4400 + 0.0523i −0.0659 + 0.1371i0.8665 − 0.1138i −0.6283 − 0.5763i0.1948 + 0.0432im_cb(:, :, 21) = 0.5000−0.4714 + 0.1958i −0.0659 + 0.1371i0.7857 + 0.1551i −0.6283 − 0.5763i−0.2143 − 0.2284im_cb(:, :, 22) = 0.5000−0.8257 − 0.0874i −0.0659 + 0.1371i0.1960 + 0.2149i −0.6283 − 0.5763i−0.2754 − 0.3875im_cb(:, :, 23) = 0.50000.0802 + 0.6537i −0.0659 + 0.1371i0.7011 + 0.0842i −0.6283 − 0.5763i−0.1773 + 0.1979im_cb(:, :, 24) = 0.50000.7304 − 0.3323i −0.0659 + 0.1371i0.3341 − 0.2441i −0.6283 − 0.5763i0.4230 + 0.0763im_cb(:, :, 25) = 0.5000−0.0063 − 0.6527i −0.0063 + 0.6527i0.1477 + 0.0000i 0.4621 − 0.3321i0.4394 + 0.5991im_cb(:, :, 26) = 0.5000−0.3335 − 0.6269i −0.0063 + 0.6527i−0.0287 + 0.4274i 0.4621 − 0.3321i0.1446 + 0.5397im_cb(:, :, 27) = 0.5000−0.1794 − 0.2195i −0.0063 + 0.6527i0.5051 + 0.2314i 0.4621 − 0.3321i0.3692 + 0.6889im_cb(:, :, 28) = 0.50000.0333 − 0.8621i −0.0063 + 0.6527i−0.3309 − 0.0544i 0.4621 − 0.3321i0.2441 + 0.2892im_cb(:, :, 29) = 0.50000.2511 − 0.2860i −0.0063 + 0.6527i0.4239 − 0.3315i 0.4621 − 0.3321i0.5617 + 0.5000im_cb(:, :, 30) = 0.50000.0797 + 0.3185i −0.0063 + 0.6527i0.7431 − 0.1001i 0.4621 − 0.3321i0.3775 + 0.4345im_cb(:, :, 31) = 0.50000.4543 − 0.5067i −0.0063 + 0.6527i−0.1445 − 0.5995i 0.4621 − 0.3321i0.3921 + 0.0541im_cb(:, :, 32) = 0.5000−0.2922 − 0.6671i −0.0063 + 0.6527i−0.5457 + 0.3730i 0.4621 − 0.3321i−0.1647 + 0.0744im_cb(:, :, 33) = 0.50000.7171 − 0.3202i 0.7171 + 0.3202i−0.2337 − 0.0000i −0.2533 + 0.2626i0.1951 − 0.5390im_cb(:, :, 34) = 0.50000.7641 − 0.1480i 0.7171 + 0.3202i−0.3967 − 0.2772i −0.2533 + 0.2626i−0.2706 − 0.2946im_cb(:, :, 35) = 0.50000.7138 − 0.4227i 0.7171 + 0.3202i−0.5005 + 0.1491i −0.2533 + 0.2626i0.1972 + 0.0160im_cb(:, :, 36) = 0.50000.5058 − 0.0418i 0.7171 + 0.3202i0.0418 − 0.2639i −0.2533 + 0.2626i−0.0635 − 0.8167im_cb(:, :, 37) = 0.50000.4347 − 0.4303i 0.7171 + 0.3202i−0.1049 + 0.3389i −0.2533 + 0.2626i0.5980 − 0.3775im_cb(:, :, 38) = 0.50000.2453 − 0.4498i 0.7171 + 0.3202i−0.3111 + 0.4880i −0.2533 + 0.2626i0.5495 + 0.3173im_cb(:, :, 39) = 0.50000.0581 − 0.1072i 0.7171 + 0.3202i0.3592 + 0.1165i −0.2533 + 0.2626i0.4486 − 0.8008im_cb(:, :, 40) = 0.50000.3868 + 0.2134i 0.7171 + 0.3202i−0.0606 − 0.5411i −0.2533 + 0.2626i−0.5799 − 0.4326im_cb(:, :, 41) = 0.49540.4819 + 0.4517i 0.4819 − 0.4517i0.1354 + 0.0000i 0.2963 − 0.4801i−0.7127 + 0.1933im_cb(:, :, 42) = 0.49540.1235 + 0.1340i 0.4819 − 0.4517i0.5561 − 0.0174i 0.2963 − 0.4801i−0.7801 + 0.2206im_cb(:, :, 43) = 0.49540.1092 + 0.5656i 0.4819 − 0.4517i0.1835 − 0.4424i 0.2963 − 0.4801i−0.5447 + 0.3769im_cb(:, :, 44) = 0.49540.5488 + 0.0588i 0.4819 − 0.4517i0.2174 + 0.4352i 0.2963 − 0.4801i−0.6760 − 0.0421im_cb(:, :, 45) = 0.49540.5286 + 0.6690i 0.4819 − 0.4517i−0.3095 − 0.1658i 0.2963 − 0.4801i−0.3431 + 0.1789im_cb(:, :, 46) = 0.49540.0309 + 0.6659i 0.4819 − 0.4517i−0.2966 − 0.6083i 0.2963 − 0.4801i0.0098 + 0.3124im_cb(:, :, 47) = 0.49540.7310 + 0.2470i 0.4819 − 0.4517i−0.4080 + 0.4184i 0.2963 − 0.4801i−0.1888 − 0.1655im_cb(:, :, 48) = 0.49540.0655 − 0.3761i 0.4819 − 0.4517i0.6030 + 0.4178i 0.2963 − 0.4801i−0.5585 − 0.0649im_cb(:, :, 49) = 0.50000.0686 + 0.1386i 0.0686 − 0.1386i0.9522 − 0.0000i 0.6200 + 0.5845i0.0770 − 0.2521im_cb(:, :, 50) = 0.5000−0.1989 + 0.5618i 0.0686 − 0.1386i0.6656 − 0.1322i 0.6200 + 0.5845i0.3234 − 0.2823im_cb(:, :, 51) = 0.50000.4439 + 0.4516i 0.0686 − 0.1386i0.6080 + 0.0611i 0.6200 + 0.5845i0.0351 − 0.4738im_cb(:, :, 52) = 0.5000−0.4398 − 0.0443i 0.0686 − 0.1386i0.8668 − 0.1158i 0.6200 + 0.5845i0.1958 + 0.0394im_cb(:, :, 53) = 0.50000.4691 − 0.2002i 0.0686 − 0.1386i0.7853 + 0.1575i 0.6200 + 0.5845i−0.2119 − 0.2313im_cb(:, :, 54) = 0.50000.8286 + 0.0769i 0.0686 − 0.1386i0.1942 + 0.2186i 0.6200 + 0.5845i−0.2738 − 0.3877im_cb(:, :, 55) = 0.5000−0.0887 − 0.6510i 0.0686 − 0.1386i0.7038 + 0.0647i 0.6200 + 0.5845i−0.1756 + 0.1949im_cb(:, :, 56) = 0.5000−0.7252 + 0.3429i 0.0686 − 0.1386i0.3333 − 0.2481i 0.6200 + 0.5845i0.4223 + 0.0745im_cb(:, :, 57) = 0.5000−0.0054 + 0.8540i −0.0054 − 0.6540i0.1446 + 0.0000i −0.4566 + 0.3374i0.4363 + 0.6009im_cb(:, :, 58) = 0.50000.3218 + 0.6320i −0.0054 − 0.6540i−0.0291 + 0.4278i −0.4566 + 0.3374i0.1403 + 0.5417im_cb(:, :, 59) = 0.50000.1736 + 0.2236i −0.0054 − 0.6540i0.5035 + 0.2295i −0.4566 + 0.3374i0.3669 + 0.6922im_cb(:, :, 60) = 0.5000−0.0471 + 0.8617i −0.0054 − 0.6540i−0.3334 − 0.0522i −0.4566 + 0.3374i0.2407 + 0.2889im_cb(:, :, 61) = 0.5000−0.2568 + 0.2842i −0.0054 − 0.6540i0.4196 − 0.3328i −0.4566 + 0.3374i0.5611 + 0.5016im_cb(:, :, 62) = 0.5000−0.0764 − 0.3158i −0.0054 − 0.6540i0.7411 − 0.1033i −0.4566 + 0.3374i0.3788 + 0.4372im_cb(:, :, 63) = 0.5000−0.4614 + 0.5008i −0.0054 − 0.6540i−0.1489 − 0.5981i −0.4566 + 0.3374i0.3920 + 0.0527im_cb(:, :, 64) = 0.50000.2816 + 0.6702i −0.0054 − 0.6540i−0.5446 + 0.3756i −0.4566 + 0.3374i−0.1685 + 0.0739iFor three transmit antennas, threetransmission streams, and 3-bit feedbackinformation,m_cb(:, :, 1) = 1 0 0 0 1 0 0 0 1m_cb(:, :, 2) = Columns 1 through 2 0.5000−0.7201 + 0.3126i −0.7201 − 0.3126i−0.2326 0.2483 − 0.2684i0.1898 − 0.5419i Column 3 0.2483 + 0.2684i 0.1898 + 0.5419i 0.7325m_cb(:, :, 3) = Columns 1 through 2 0.5000−0.0659 − 0.1371i −0.0659 + 0.1371i0.9537 −0.6283 − 0.5763i0.0752 − 0.2483i Column 3 −0.6283 + 0.5763i 0.0752 + 0.2483i −0.4537m_cb(:, :, 4) = Columns 1 through 2 0.5000−0.0063 − 0.6527i −0.0063 + 0.6527i0.1477 0.4621 − 0.3321i0.4394 + 0.5991i Column 3 0.4821 + 0.3321i 0.4394 − 0.5991i 0.3522m_cb(:, :, 5) = Columns 1 through 2 0.50000.7171 − 0.3202i 0.7171 + 0.3202i−0.2337 −0.2533 + 0.2626i0.1951 − 0.5390i Column 3 −0.2533 − 0.2626i 0.1951 + 0.5390i 0.7337m_cb(:, :, 6) = Columns 1 through 2 0.49540.4819 + 0.4517i 0.4819 − 0.4517i0.1354 0.2983 − 0.4801i−0.7127 + 0.1933i Column 3 0.2963 + 0.4801i −0.7127 − 0.1933i 0.3692m_cb(:, :, 7) = Columns 1 through 2 0.50000.0686 + 0.1386i 0.0686 − 0.1386i0.9522 0.6200 + 0.5845i0.0770 − 0.2521i Column 3 0.6200 − 0.5845i 0.0770 + 0.2521i −0.4522m_cb(:, :, 8) = Columns 1 through 2 0.5000−0.0054 + 0.6540i −0.0054 − 0.6540i0.1446 −0.4566 + 0.3374i0.4363 + 0.6009i Column 3 −0.4566 − 0.3374i 0.4363 − 0.6009i 0.3554For three transmit antennas, threetransmission streams, and 6-bit feedbackinformation,m_cb(:, :, 1) = 1 0 0 0 1 0 0 0 1m_cb(:, :, 2) = Columns 1 through 2 1.00000 00.7940 0−0.5801 + 0.1818i Column 3 0 −0.5801 − 0.1818i −0.7940m_cb(:, :, 3) = Columns 1 through 2 1.00000 00.7940 00.0576 + 0.6051i Column 3 0 −0.0576 − 0.6051i −0.7940m_cb(:, :, 4) = Columns 1 through 2 1.00000 00.7941 0−0.2978 − 0.5298i Column 3 0 −0.2978 + 0.5298i −0.7941m_cb(:, :, 5) = Columns 1 through 2 1.00000 00.7941 00.6038 + 0.0689i Column 3 0 0.6038 − 0.0689i −0.7941m_cb(:, :, 6) = Columns 1 through 2 1.00000 00.3289 00.6614 + 0.6740i Column 3 0 0.6614 − 0.6740i −0.3289m_cb(:, :, 7) = Columns 1 through 2 1.00000 00.5112 00.4754 − 0.7160i Column 3 0 0.4754 + 0.7160i −0.5112m_cb(:, :, 8) = Columns 1 through 2 1.00000 00.3289 0−0.8779 − 0.3481i Column 3 0 −0.8779 + 0.3481i −0.3289m_cb(:, :, 9) = Columns 1 through 2 0.5000−0.7201 + 0.3126i −0.7201 − 0.3126i−0.2326 0.2483 − 0.2684i0.1898 − 0.5419i Column 3 0.2483 + 0.2684i 0.1898 + 0.5419i 0.7325m_cb(:, :, 10) = Columns 1 through 2 0.5000−0.7646 + 0.1377i −0.7201 − 0.3126i−0.3932 − 0.2798i 0.2483 − 0.2684i−0.2742 − 0.2971i Column 3 0.2773 − 0.2636i −0.0158 − 0.3880i −0.7903 + 0.2798im_cb(:, :, 11) = Columns 1 through 2 0.5000−0.7199 + 0.4140i −0.7201 − 0.3126i−0.5016 + 0.1460i 0.2483 − 0.2684i0.1929 + 0.0130i Column 3 −0.0494 + 0.2406i −0.1641 − 0.2895i −0.8967 − 0.1460im_cb(:, :, 12) = Columns 1 through 2 0.5000−0.5036 + 0.0368i −0.7201 − 0.3126i0.0459 − 0.2619i 0.2483 − 0.2684i−0.0674 − 0.8184i Column 3 −0.1484 − 0.6878i −0.0815 − 0.5535i −0.3512 + 0.2619im_cb(:, :, 13) = Columns 1 through 2 0.5000−0.4404 + 0.4275i −0.7201 − 0.3126i−0.1074 + 0.3403i 0.2483 − 0.2684i0.5930 − 0.3799i Column 3 −0.6105 + 0.0252i −0.2911 + 0.4143i −0.5045 − 0.3403im_cb(:, :, 14) = Columns 1 through 2 0.5000−0.2535 + 0.4478i −0.7201 − 0.3126i−0.3162 + 0.4863i 0.2483 − 0.2684i0.5470 + 0.3155i Column 3 −0.3472 + 0.6039i −0.2162 − 0.0215i −0.4806 − 0.4863im_cb(:, :, 15) = Columns 1 through 2 0.5000−0.0579 + 0.1096i −0.7201 − 0.3126i0.3593 + 0.1217i 0.2483 − 0.2684i0.4453 − 0.8015i Column 3 −0.6931 − 0.5042i −0.2076 − 0.4435i 0.1037 − 0.1217im_cb(:, :, 16) = Columns 1 through 2 0.5000−0.3614 − 0.2193i −0.7201 − 0.3126i−0.0545 − 0.5418i 0.2463 − 0.2684i−0.5807 − 0.4332i Column 3 0.4417 − 0.6134i 0.1417 − 0.2592i −0.2189 + 0.5418im_cb(:, :, 17) = Columns 1 through 2 0.5000−0.0659 − 0.1371i −0.0659 + 0.1371i0.9537 −0.6283 − 0.5763i0.0752 − 0.2483i Column 3 −0.6283 + 0.5763i 0.0752 + 0.2483i −0.4537m_cb(:, :, 18) = Columns 1 through 2 0.50000.2073 − 0.5574i −0.0659 + 0.1371i0.6685 − 0.1304i −0.6283 − 0.5763i0.3229 − 0.2796i Column 3 0.5122 − 0.3661i −0.6129 − 0.3705i 0.2715 + 0.1304im_cb(:, :, 19) = Columns 1 through 2 0.5000−0.4373 − 0.4559i −0.0659 + 0.1371i0.6114 + 0.0598i −0.6283 − 0.5763i0.0338 − 0.4717i Column 3 0.4121 − 0.4256i −0.0048 − 0.7743i 0.2143 − 0.0598im_cb(:, :, 20) = Columns 1 through 2 0.50000.4400 + 0.0523i −0.0659 + 0.1371i0.8665 − 0.1138i −0.6283 − 0.5763i0.1948 + 0.0432i Column 3 0.5912 − 0.4518i −0.3437 + 0.8081i 0.4695 + 0.1138im_cb(:, :, 21) = Columns 1 through 2 0.5000−0.4714 + 0.1958i −0.0659 + 0.1371i0.7857 + 0.1551i −0.6283 − 0.5763i−0.2143 − 0.2284i Column 3 0.4497 − 0.5359i 0.5162 − 0.2629i 0.3886 − 0.1551im_cb(:, :, 22) = Columns 1 through 2 0.5000−0.8257 − 0.0874i −0.0659 + 0.1371i0.1960 + 0.2149i −0.6283 − 0.5763i−0.2754 − 0.3875i Column 3 0.0706 − 0.2358i 0.6061 − 0.7245i 0.0316 − 0.2149im_cb(:, :, 23) = Columns 1 through 2 0.50000.0802 + 0.6537i −0.0659 + 0.1371i0.7011 + 0.0642i −0.6283 − 0.5763i−0.1773 + 0.1979i Column 3 0.3880 − 0.4070i 0.4150 + 0.5559i 0.4455 − 0.0642im_cb(:, :, 24) = Columns 1 through 2 0.50000.7304 − 0.3323i −0.0659 + 0.1371i0.3341 − 0.2441i −0.6283 − 0.5763i0.4230 + 0.0763i Column 3 0.3123 − 0.0921i −0.8620 + 0.2503i 0.1697 + 0.2441im_cb(:, :, 25) = Columns 1 through 2 0.5000−0.0063 − 0.6527i −0.0063 + 0.6527i0.1477 0.4621 − 0.3321i0.4394 + 0.5991i Column 3 0.4621 + 0.3321i 0.4394 − 0.5991i 0.3522m_cb(:, :, 26) = Columns 1 through 2 0.5000−0.3335 − 0.6269i −0.0063 + 0.8527i−0.0287 + 0.4274i 0.4621 − 0.3321i0.1446 + 0.5397i Column 3 −0.4819 + 0.1161i −0.4346 + 0.4489i −0.4257 − 0.4274im_cb(:, :, 27) = Columns 1 through 2 0.5000−0.1794 − 0.2195i −0.0063 + 0.6527i0.5051 + 0.2314i 0.4621 − 0.3321i0.3692 + 0.6889i Column 3 −0.7623 − 0.2975i −0.3404 + 0.3863i 0.1081 − 0.2314im_cb(:, :, 28) = Columns 1 through 2 0.50000.0333 − 0.8621i −0.0063 + 0.6527i−0.3309 − 0.0544i 0.4621 − 0.3321i0.2441 + 0.2892i Column 3 −0.0193 − 0.0727i −0.3930 + 0.5541i −0.7280 + 0.0544im_cb(:, :, 29) = Columns 1 through 2 0.50000.2511 − 0.2860i −0.0063 + 0.6527i0.4239 − 0.3315i 0.4621 − 0.3321i0.5617 + 0.5000i Column 3 −0.4158 − 0.6575i −0.2598 + 0.4656i 0.0269 + 0.3315im_cb(:, :, 30) = Columns 1 through 2 0.50000.0797 + 0.3165i −0.0063 + 0.6527i0.7431 − 0.1001i 0.4621 − 0.3321i0.3775 + 0.4345i Column 3 −0.5962 − 0.5367i −0.0468 + 0.0975i 0.5786 + 0.1001im_cb(:, :, 31) = Columns 1 through 2 0.50000.4543 − 0.5067i −0.0063 + 0.6527i−0.1445 − 0.5995i 0.4621 − 0.3321i0.3921 + 0.0541i Column 3 0.2281 − 0.4848i −0.1544 + 0.4121i −0.4001 + 0.5995im_cb(:, :, 32) = Columns 1 through 2 0.5000−0.2922 − 0.6671i −0.0063 + 0.6527i−0.5457 + 0.3730i 0.4621 − 0.3321i−0.1647 + 0.0744i Column 3 0.0808 + 0.4616i −0.2742 + 0.2485i −0.7102 − 0.3730im_cb(:, :, 33) = Columns 1 through 2 0.50000.7171 − 0.3202i 0.7171 + 0.3202i−0.2337 −0.2533 + 0.2626i0.1951 − 0.5390i Column 3 −0.2533 − 0.2628i 0.1951 + 0.5390i 0.7337m_cb(:, :, 34) = Columns 1 through 2 0.50000.7641 − 0.1480i 0.7171 + 0.3202i−0.3967 − 0.2772i −0.2533 + 0.2626i−0.2706 − 0.2946i Column 3 −0.2731 + 0.2639i −0.0194 − 0.3855i −0.7937 + 0.2772im_cb(:, :, 35) = Columns 1 through 2 0.50000.7138 − 0.4227i 0.7171 + 0.3202i−0.5005 + 0.1491i −0.2533 + 0.2626i0.1972 + 0.0160i Column 3 0.0486 − 0.2439i −0.1684 − 0.2865i −0.8975 − 0.1491im_cb(:, :, 36) = Columns 1 through 2 0.50000.5058 − 0.0419i 0.7171 + 0.3202i0.0418 − 0.2639i −0.2533 + 0.2626i−0.0635 − 0.8167i Column 3 0.1573 + 0.6839i −0.0854 − 0.5518i −0.3552 + 0.2639im_cb(:, :, 37) = Columns 1 through 2 0.50000.4347 − 0.4303i 0.7171 + 0.3202i−0.1049 + 0.3389i −0.2533 + 0.2626i0.5980 − 0.3775i Column 3 0.6121 − 0.0342i −0.2961 − 0.4119i −0.5020 − 0.3389im_cb(:, :, 38) = Columns 1 through 2 0.50000.2453 − 0.4498i 0.7171 + 0.3202i−0.3111 + 0.4880i −0.2533 + 0.2626i0.5495 + 0.3173i Column 3 0.3418 − 0.6088i −0.2188 − 0.0197i −0.4755 − 0.4880im_cb(:, :, 39) = Columns 1 through 2 0.50000.0581 − 0.1072i 0.7171 + 0.3202i0.3592 + 0.1165i −0.2533 + 0.2626i0.4486 − 0.8008i Column 3 0.6997 + 0.4955i −0.2109 − 0.4428i 0.1036 − 0.1165im_cb(:, :, 40) = Columns 1 through 2 0.50000.3668 + 0.2134i 0.7171 + 0.3202i−0.0606 − 0.5411i −0.2533 + 0.2626i−0.5799 − 0.4326i Column 3 −0.4348 + 0.6171i 0.1410 − 0.2586i −0.2250 + 0.5411im_cb(:, :, 41) = Columns 1 through 2 0.49540.4819 + 0.4517i 0.4819 − 0.4517i0.1354 0.2963 − 0.4801i−0.7127 + 0.1933i Column 3 0.2963 + 0.4801i −0.7127 − 0.1933i 0.3692m_cb(:, :, 42) = Columns 1 through 2 0.49540.1235 + 0.1340i 0.4819 − 0.4517i0.5561 − 0.0174i 0.2963 − 0.4801i−0.7801 + 0.2206i Column 3 −0.4327 − 0.7309i 0.4874 + 0.1289i 0.1554 + 0.0174im_cb(:, :, 43) = Columns 1 through 2 0.48540.1092 + 0.5656i 0.4819 − 0.4517i0.1835 − 0.4424i 0.2963 − 0.4801i−0.5447 + 0.3769i Column 3 0.0658 − 0.6469i 0.5737 + 0.0715i −0.2172 + 0.4424im_cb(:, :, 44) = Columns 1 through 2 0.49540.5488 + 0.0588i 0.4819 − 0.4517i0.2174 + 0.4352i 0.2963 − 0.4801i−0.6760 − 0.0421i Column 3 −0.6181 − 0.2605i 0.5257 + 0.2253i −0.1834 − 0.4352im_cb(:, :, 45) = Columns 1 through 2 0.49540.5286 + 0.6690i 0.4819 − 0.4517i−0.3095 − 0.1658i 0.2963 − 0.4801i−0.3431 + 0.1789i Column 3 0.0868 − 0.1418i 0.6478 + 0.1442i −0.7102 + 0.1658im_cb(:, :, 46) = Columns 1 through 2 0.49540.0309 + 0.6659i 0.4819 − 0.4517i−0.2966 − 0.6083i 0.2963 − 0.4801i0.0098 + 0.3124i Column 3 0.5258 − 0.1840i 0.3240 − 0.0277i −0.4626 + 0.6083im_cb(:, :, 47) = Columns 1 through 2 0.49540.7310 + 0.2470i 0.4819 − 0.4517i−0.4080 + 0.4184i 0.2963 − 0.4801i−0.1888 − 0.1655i Column 3 −0.2458 + 0.3143i 0.4288 + 0.1958i −0.6660 − 0.4184im_cb(:, :, 48) = Columns 1 through 2 0.49540.0655 − 0.3761i 0.4819 − 0.4517i0.6030 + 0.4178i 0.2963 − 0.4801i−0.5585 − 0.0649i Column 3 −0.6777 − 0.3867i 0.1155 + 0.1107i 0.4370 − 0.4178im_cb(:, :, 49) = Columns 1 through 2 0.50000.0686 + 0.1386i 0.0686 − 0.1386i0.9522 0.6200 + 0.5845i0.0770 − 0.2521i Column 3 0.6200 − 0.5845i 0.0770 + 0.2521i −0.4522m_cb(:, :, 50) = Columns 1 through 2 0.5000−0.1989 + 0.5618i 0.0686 − 0.1386i0.6656 − 0.1322i 0.6200 + 0.5845i0.3234 − 0.2823i Column 3 −0.5069 + 0.3713i −0.6134 − 0.3732i 0.2686 + 0.1322im_cb(:, :, 51) = Columns 1 through 2 0.50000.4439 + 0.4516i 0.0686 − 0.1386i0.6080 + 0.0611i 0.6200 + 0.5845i0.0351 − 0.4738i Column 3 −0.4045 + 0.4306i −0.0063 − 0.7763i 0.2109 − 0.0611im_cb(:, :, 52) = Columns 1 through 2 0.5000−0.4398 − 0.0443i 0.0686 − 0.1386i0.8668 − 0.1158i 0.6200 + 0.5845i0.1958 + 0.0394i Column 3 −0.5862 + 0.4593i −0.3447 + 0.3043i 0.4697 + 0.1158im_cb(:, :, 53) = Columns 1 through 2 0.50000.4691 − 0.2002i 0.0686 − 0.1386i0.7853 + 0.1575i 0.6200 + 0.5845i−0.2119 − 0.2313i Column 3 −0.4414 + 0.5432i 0.5138 − 0.2658i 0.3882 − 0.1575im_cb(:, :, 54) = Columns 1 through 2 0.50000.8266 + 0.0769i 0.0686 − 0.1386i0.1942 + 0.2186i 0.6200 + 0.5845i−0.2738 − 0.3877i Column 3 −0.0651 + 0.2377i 0.6045 − 0.7247i 0.0297 − 0.2186im_cb(:, :, 55) = Columns 1 through 2 0.5000− 0.0887 − 0.6510i 0.0686 − 0.1386i0.7038 + 0.0647i 0.6200 + 0.5845i−0.1756 + 0.1949i Column 3 −0.3836 + 0.4138i 0.4133 + 0.5529i 0.4482 − 0.0647im_cb(:, :, 58) = Columns 1 through 2 0.5000−0.7252 + 0.3429i 0.0686 − 0.1386i0.3333 − 0.2481i 0.6200 + 0.5845i0.4223 + 0.0745i Column 3 −0.3124 + 0.0944i −0.8612 + 0.2485i 0.1689 + 0.2481im_cb(:, :, 57) = Columns 1 through 2 0.5000−0.0054 + 0.6540i −0.0054 − 0.6540i0.1446 −0.4566 + 0.3374i0.4363 + 0.6009i Column 3 −0.4566 − 0.3374i 0.4363 − 0.6009i 0.3554m_cb(:, :, 58) = Columns 1 through 2 0.50000.3218 + 0.6320i −0.0054 − 0.6540i−0.0291 + 0.4278i −0.4566 + 0.3374i0.1403 + 0.5417i Column 3 0.4846 − 0.1105i −0.4303 + 0.4508i −0.4261 − 0.4278im_cb(:, :, 59) = Columns 1 through 2 0.50000.1736 + 0.2236i −0.0054 − 0.6540i0.5035 + 0.2295i −0.4566 + 0.3374i0.3669 + 0.6922i Column 3 0.7580 + 0.3088i −0.3381 + 0.3896i 0.1065 − 0.2295im_cb(:, :, 60) = Columns 1 through 2 0.5000−0.0471 + 0.8617i −0.0054 − 0.6540i−0.3334 − 0.0522i −0.4566 + 0.3374i0.2407 + 0.2889i Column 3 0.0177 + 0.0703i −0.3895 + 0.5537i −0.7305 + 0.0522im_cb(:, :, 61) = Columns 1 through 2 0.5000−0.2568 + 0.2842i −0.0054 − 0.6540i0.4196 − 0.3328i −0.4566 + 0.3374i0.5611 + 0.5016i Column 3 0.4043 + 0.6632i −0.2592 + 0.4672i 0.0226 + 0.3328im_cb(:, :, 62) = Columns 1 through 2 0.5000−0.0764 − 0.3158i −0.0054 − 0.6540i0.7411 − 0.1033i −0.4566 + 0.3374i0.3786 + 0.4372i Column 3 0.5874 + 0.5472i −0.0479 + 0.1002i 0.5767 + 0.1033im_cb(:, :, 63) = Columns 1 through 2 0.5000−0.4614 + 0.5008i −0.0054 − 0.6540i−0.1489 − 0.5981i −0.4566 + 0.3374i0.3920 + 0.0527i Column 3 −0.2374 + 0.4795i −0.1543 + 0.4107i −0.4045 + 0.5981im_cb(:, :, 64) = Columns 1 through 2 0.50000.2816 + 0.6702i −0.0054 − 0.6540i−0.5446 + 0.3756i −0.4566 + 0.3374i−0.1685 + 0.0739i Column 3 −0.0727 − 0.4650i −0.2704 + 0.2479i −0.7091 − 0.3756iFor four transmit antennas, one transmissionstream, and 3-bit feedback information,m_cb(:, :, 1) = 1.0000 0.0000 − 0.0000i −0.0000 + 0.0000i 0.0000 + 0.0000im_cb(:, :, 2) = 0.3780 −0.2698 − 0.5668i 0.5957 + 0.1578i 0.1587 − 0.2411im_cb(:, :, 3) = 0.3780 −0.7103 + 0.1326i −0.2350 − 0.1467i 0.1371 + 0.4893im_cb(:, :, 4) = 0.3780 0.2830 − 0.0940i 0.0702 − 0.8261i −0.2801 + 0.0491im_cb(:, :, 5) = 0.3780 −0.0841 + 0.6478i 0.0184 + 0.0490i −0.3272 − 0.5662im_cb(:, :, 6) = 0.3780 0.5247 + 0.3532i 0.4115 + 0.1825i 0.2639 + 0.4299im_cb(:, :, 7) = 0.3780 0.2058 − 0.1369i −0.5211 + 0.0833i 0.6136 − 0.3755im_cb(:, :, 8) = 0.3780 0.0618 − 0.3332i −0.3456 + 0.5029i −0.5704 + 0.2113iFor four transmit antennas, one transmissionstream, and 6-bit feedback information,m_cb(:, :, 1) = 0.5000 −0.0000 + 0.5000i −0.5000 − 0.0000i 0.0000 − 0.5000im_cb(:, :, 2) = 0.4529 − 0.0000i −0.0061 − 0.3221i 0.5831 + 0.3664i 0.4656 + 0.0082im_cb(:, :, 3) = 0.4175 + 0.0000i −0.8206 − 0.0812i −0.0467 − 0.1325i −0.3040 + 0.1832im_cb(:, :, 4) = 0.5034 −0.1137 + 0.3084i 0.0057 + 0.0632i −0.3257 − 0.7269im_cb(:, :, 5) = 0.5260 − 0.0000i 0.4579 + 0.1394i −0.1299 + 0.4665i 0.1388 + 0.4904im_cb(:, :, 6) = 0.1673 − 0.0000i −0.8917 − 0.2667i 0.1500 + 0.2390i 0.1110 + 0.1176im_cb(:, :, 7) = 0.2104 − 0.0000i −0.1631 − 0.1634i 0.2091 + 0.3930i −0.1900 − 0.8174im_cb(:, :, 8) = 0.7564 0.2752 + 0.4443i 0.1752 + 0.1139i −0.0804 + 0.3234im_cb(:, :, 9) = 0.3210 0.2486 − 0.6005i −0.4694 − 0.0852i −0.2080 + 0.4513im_cb(:, :, 10) = 0.3436 0.4402 + 0.0658i −0.5670 − 0.0322i 0.5583 − 0.2228im_cb(:, :, 11) = 0.6039 + 0.0000i 0.0822 + 0.3279i 0.7147 + 0.0599i −0.0624 + 0.0513im_cb(:, :, 12) = 0.6378 + 0.0000i −0.1355 − 0.2827i −0.2835 − 0.3188i −0.1532 + 0.5380im_cb(:, :, 13) = 0.6384 + 0.0000i 0.3739 + 0.1332i −0.3179 − 0.3015i 0.1651 − 0.4645im_cb(:, :, 14) = 0.1962 + 0.0000i 0.0906 + 0.0725i 0.5721 + 0.7826i 0.0910 + 0.0031im_cb(:, :, 15) = 0.6758 − 0.0000i −0.5192 − 0.0784i 0.1092 − 0.3313i 0.1450 + 0.3534im_cb(:, :, 16) = 0.6264 + 0.0000i 0.1144 − 0.1440i 0.0745 − 0.3217i −0.2057 − 0.6499im_cb(:, :, 17) = 0.4732 − 0.0000i −0.0351 + 0.4319i −0.6207 + 0.4209i −0.1480 + 0.0626im_cb(:, :, 18) = 0.4043 + 0.0000i −0.5936 − 0.1741i 0.4291 − 0.0666i 0.5012 + 0.1184im_cb(:, :, 19) = 0.3300 − 0.0000i −0.1038 − 0.5703i 0.3323 − 0.0915i −0.2763 − 0.5999im_cb(:, :, 20) = 0.6803 + 0.0000i −0.2432 + 0.5431i −0.1270 + 0.2543i −0.2626 − 0.1825im_cb(:, :, 21) = 0.2751 + 0.0000i 0.1655 − 0.3560i −0.0849 + 0.3618i 0.2054 + 0.7680im_cb(:, :, 22) = 0.2018 + 0.0000i 0.8742 − 0.1496i −0.1556 + 0.1843i 0.2607 − 0.2157im_cb(:, :, 23) = 0.4851 + 0.0000i −0.4030 + 0.2771i 0.3315 + 0.4502i −0.1668 − 0.4303im_cb(:, :, 24) = 0.5810 + 0.0000i 0.1119 + 0.1280i −0.0461 − 0.0235i −0.0396 + 0.7933im_cb(:, :, 25) = 0.4698 + 0.0000i 0.8120 + 0.0534i −0.0709 − 0.2272i −0.1534 − 0.1923im_cb(:, :, 26) = 0.3376 − 0.0000i −0.0556 − 0.2153i −0.5304 + 0.6183i 0.3649 − 0.1993im_cb(:, :, 27) = 0.6258 − 0.0000i −0.1124 + 0.3086i 0.4072 − 0.2116i 0.1763 + 0.5087im_cb(:, :, 28) = 0.5255 + 0.0000i 0.3939 − 0.2804i 0.1818 − 0.4618i −0.4844 − 0.0951im_cb(:, :, 29) = 0.7339 + 0.0000i 0.0575 + 0.0818i −0.6296 + 0.0292i 0.2104 − 0.0990im_cb(:, :, 30) = 0.3226 −0.1524 + 0.1980i 0.7728 − 0.1448i 0.4423 + 0.1430im_cb(:, :, 31) = 0.3597 −0.2781 − 0.4906i 0.2755 − 0.5384i −0.3833 + 0.1998im_cb(:, :, 32) = 0.8936 + 0.0000i −0.1516 + 0.1154i −0.1195 − 0.0935i 0.0609 − 0.3721im_cb(:, :, 33) = 0.1758 + 0.0000i −0.0345 + 0.1074i −0.5181 + 0.5298i −0.3811 + 0.5118im_cb(:, :, 34) = 0.1191 −0.8248 + 0.1153i −0.0024 − 0.4536i 0.2507 + 0.1533im_cb(:, :, 35) = 0.6621 + 0.0000i −0.2525 − 0.2046i 0.3214 + 0.1313i 0.1375 − 0.5626im_cb(:, :, 36) = 0.5015 + 0.0000i −0.2862 + 0.4416i −0.2458 + 0.2365i −0.4113 + 0.4314im_cb(:, :, 37) = 0.1614 0.5947 + 0.4582i −0.1229 − 0.0033i −0.5490 − 0.3063im_cb(:, :, 38) = 0.4525 + 0.0000i 0.3385 − 0.4039i −0.0662 + 0.4865i 0.4930 − 0.1826im_cb(:, :, 39) = 0.4800 −0.4788 + 0.5464i 0.3125 + 0.2377i −0.2037 + 0.2147im_cb(:, :, 40) = 0.2819 + 0.0000i 0.3244 − 0.0826i 0.1090 − 0.2542i −0.7259 + 0.4528im_cb(:, :, 41) = 0.7411 + 0.0000i 0.5742 + 0.0764i −0.2356 + 0.0500i 0.2346 + 0.0474im_cb(:, :, 42) = 0.1668 − 0.0000i −0.5822 + 0.0360i 0.2189 + 0.7604i 0.0602 + 0.0463im_cb(:, :, 43) = 0.3285 − 0.0000i −0.1895 + 0.0198i 0.1261 − 0.5181i 0.0010 + 0.7559im_cb(:, :, 44) = 0.8612 + 0.0000i 0.3610 + 0.0871i 0.2273 − 0.2023i −0.0091 − 0.1665im_cb(:, :, 45) = 0.4721 −0.1615 − 0.2107i −0.7948 + 0.1069i −0.1053 + 0.2288im_cb(:, :, 46) = 0.3065 + 0.0000i −0.2240 + 0.3579i −0.0063 − 0.6069i 0.5974 + 0.0506im_cb(:, :, 47) = 0.5949 + 0.0000i 0.1557 − 0.2349i 0.6701 − 0.1265i −0.0562 − 0.3138im_cb(:, :, 48) = 0.7806 −0.4452 + 0.0626i −0.4040 − 0.0514i −0.1043 + 0.1088im_cb(:, :, 49) = 0.2387 − 0.0000i 0.0441 + 0.2702i −0.1984 − 0.4442i 0.0127 − 0.7945im_cb(:, :, 50) = 0.2362 + 0.0000i 0.5885 − 0.2614i 0.3821 + 0.5878i 0.1612 − 0.1097im_cb(:, :, 51) = 0.7098 −0.6700 + 0.0265i 0.1179 + 0.0871i 0.0780 − 0.1381im_cb(:, :, 52) = 0.2052 + 0.0000i −0.1721 + 0.0352i −0.1656 − 0.1102i −0.9338 − 0.1244im_cb(:, :, 53) = 0.4765 + 0.0000i 0.6113 + 0.5146i −0.1360 + 0.3050i −0.1514 − 0.0058im_cb(:, :, 54) = 0.4381 −0.3936 − 0.4501i 0.0606 + 0.5087i 0.4314 − 0.0443im_cb(:, :, 55) = 0.1984 − 0.0000i −0.3459 + 0.4714i 0.1674 − 0.1088i −0.2863 + 0.7049im_cb(:, :, 56) = 0.5604 + 0.0000i 0.4187 + 0.4255i 0.3390 + 0.0502i −0.4327 − 0.1581im_cb(:, :, 57) = 0.6569 − 0.0000i 0.1886 − 0.2454i −0.4445 + 0.1772i 0.2727 + 0.4115im_cb(:, :, 58) = 0.1785 0.4085 + 0.5675i 0.1164 − 0.5210i 0.4406 − 0.0086im_cb(:, :, 59) = 0.2846 + 0.0000i 0.2028 + 0.0401i 0.7669 − 0.0056i −0.5189 − 0.1373im_cb(:, :, 60) = 0.9340 + 0.0000i 0.0187 + 0.0451i −0.0862 − 0.1445i 0.1596 + 0.2674im_cb(:, :, 61) = 0.3030 + 0.0000i 0.3968 − 0.2460i −0.3832 − 0.5395i −0.3259 − 0.3822im_cb(:, :, 62) = 0.1683 −0.0101 + 0.3605i −0.8263 + 0.0847i 0.3460 − 0.1786im_cb(:, :, 63) = 0.8254 − 0.0000i −0.1917 − 0.0197i 0.4523 − 0.1278i 0.2452 − 0.0239im_cb(:, :, 64) = 0.4508 −0.3114 − 0.3205i −0.3590 − 0.3506i −0.5871 + 0.0230iFor four transmit antennas, two transmissionstreams, and 3-bit feedback information,m_cb(:, :, 1) = 1.0000 − 0.0000i0.0000 + 0.0000i 0.0000 + 0.0000i1.0000 + 0.0000i 0.0000 + 0.0000i−0.0000 − 0.0000i 0.0000 − 0.0000i0.0000 + 0.0000im_cb(:, :, 2) = −0.2654 + 0.2992i−0.5775 − 0.1061i −0.1726 − 0.1816i−0.4013 − 0.3587i −0.3061 − 0.0744i0.4080 + 0.4140i −0.4903 + 0.6616i0.1638 − 0.0302im_cb(:, :, 3) = 0.0757 − 0.3932i−0.4334 − 0.3347i −0.4725 − 0.3610i0.1349 + 0.1587i −0.0623 − 0.0840i−0.0411 − 0.7644i 0.4387 + 0.5317i−0.2402 + 0.1144im_cb(:, :, 4) = −0.4279 + 0.1357i−0.2098 + 0.1569i −0.6872 + 0.0817i−02829 + 0.1676i −0.4579 − 0.1706i0.4212 + 0.3038i 0.2782 + 0.0583i−0.3991 + 0.6279im_cb(:, :, 5) = 0.1918 − 0.0472i−0.3651 − 0.0228i −0.3047 + 0.1116i0.0237 + 0.7606i −0.7347 − 0.2076i0.1887 + 0.0124i 0.1028 + 0.5121i−0.3741 + 0.3338im_cb(:, :, 6) = 0.5901 + 01973i−0.0758 − 0.0492i −0.2801 − 0.2880i0.3914 + 0.3838i 0.1873 − 0.1430i−0.1034 − 0.7246i 0.1643 − 0.6074i0.3233 − 0.2259im_cb(:, :, 7) = −0.3820 + 0.5649i−0.2255 − 0.0721i −0.4605 − 0.2626i0.1865 + 0.1422i −0.1984 − 0.0946i−0.8401 + 0.4105i −0.1590 − 0.4246i0.0852 + 0.0860im_cb(:, :, 8) = 0.6863 + 0.1884i−0.3818 − 0.1527i −0.2705 − 0.2542i0.1367 − 0.1581i −0.1384 − 0.2577i0.4864 − 0.0528i 0.1499 + 0.4976i0.5162 + 0.5304iFor four transmit antennas, two transmissionstreams, and 6-bit feedback information,m_cb(:, :, 1) = 1.00000 01.0000 0−0.0000 − 0.0000i 00.0000 − 0.0000im_cb(:, :, 2) = 1.00000 00.5000 + 0.0000i 0−0.7201 − 0.3126i 00.2483 − 0.2684im_cb(:, :, 3) = 1.00000 00.5000 − 0.0000i 0−0.0659 + 0.1371i 0−0.6283 − 0.5763im_cb(:, :, 4) = 1.00000 00.5000 − 0.0000i 0−0.0063 + 0.6527i 00.4621 − 0.3321im_cb(:, :, 5) = 1.00000 00.5000 00.7171 + 0.3202i 0−0.2533 + 0.2626im_cb(:, :, 6) = 1.00000 00.4954 − 0.0000i 00.4819 − 0.4517i 00.2963 − 0.4801im_cb(:, :, 7) = 1.00000 00.5000 00.0686 − 0.1386i 00.6200 + 0.5845im_cb(:, :, 8) = 1.00000 00.5000 − 0.0000i 0−0.0054 − 0.6540i 0−0.4566 + 0.3374im_cb(:, :, 9) = 0.3780−0.2698 + 0.5668i −0.2698 − 0.5668i0.3865 − 0.0000i 0.5957 + 0.1578i0.4022 − 0.4743i 0.1587 − 0.2411i−0.1509 − 0.2492im_cb(:, :, 10) = 0.3780−0.5091 + 0.2281i −0.2698 − 0.5668i0.0714 − 0.3649i 0.5957 + 0.1578i−0.1747 − 0.4019i 0.1587 − 0.2411i0.2898 − 0.5240im_cb(:, :, 11) = 0.3780−0.1133 + 0.1325i −0.2698 − 0.5668i0.3301 − 0.0457i 0.5957 + 0.1578i0.0762 + 0.0389i 0.1587 − 0.2411i−0.6507 − 0.6540im_cb(:, :, 12) = 0.37800.1178 + 0.7320i −0.2698 − 0.5668i−0.1159 + 0.4248i 0.5957 + 0.1578i0.0666 − 0.0781i 0.1587 − 0.2411i0.1483 − 0.4732im_cb(:, :, 13) = 0.37800.2393 + 0.3416i −0.2698 − 0.5668i0.2926 + 0.3662i 0.5957 + 0.1578i0.5746 − 0.0676i 0.1587 − 0.2411i−0.4468 + 0.2683im_cb(:, :, 14) = 0.37800.2449 − 0.0691i −0.2698 − 0.5668i0.6646 + 0.1932i 0.5957 + 0.1578i0.2298 − 0.4476i 0.1587 − 0.2411i0.2606 − 0.3676im_cb(:, :, 15) = 0.3780−0.1585 + 0.4323i −0.2698 − 0.5668i0.0374 + 0.0431i 0.5957 + 0.1578i0.3300 − 0.5124i 0.1587 − 0.2411i0.4929 + 0.4128im_cb(:, :, 16) = 0.3780−0.3952 − 0.1619i −0.2698 − 0.5668i0.4761 − 0.4303i 0.5957 + 0.1578i0.3319 − 0.3987i 0.1587 − 0.2411i−0.2930 + 0.2255im_cb(:, :, 17) = 0.3780−0.7103 − 0.1326i. −0.7103 + 0.1326i0.1606 − 0.0000i −0.2350 − 0.1467i−0.2371 − 0.2176i 0.1371 + 0.4893i0.0522 + 0.5880im_cb(:, :, 18) = 0.3780−0.2374 − 0.2568i −0.7103 + 0.1326i0.1742 − 0.2426i −0.2350 − 0.1467i−0.7492 − 0.4656i 0.1371 + 0.4893i0.0987 − 0.0251im_cb(:, :, 19) = 0.3780−0.7279 + 0.1203i −0.7103 + 0.1326i−0.3056 + 0.2925i −0.2350 − 0.1467i−0.3693 + 0.0109i 0.1371 + 0.4893i−0.3733 − 0.0302im_cb(:, :, 20) = 0.3780−0.5486 − 0.4923i −0.7103 + 0.1326i−0.2314 − 0.4452i −0.2350 − 0.1467i−0.0975 + 0.3374i 0.1371 + 0.4893i0.1957 + 0.2079im_cb(:, :, 21) = 0.3780−0.4769 + 0.1236i −0.7103 + 0.1326i−0.0182 + 0.2428i −0.2350 − 0.1467i0.5078 + 0.2545i 0.1371 + 0.4893i−0.0510 + 0.8106im_cb(:, :, 22) = 0.3780−0.5932 − 0.0997i −0.7103 + 0.1326i−0.2033 + 0.0126i −0.2350 − 0.1467i0.2813 − 0.6292i 0.1371 + 0.4893i0.3486 + 0.0085im_cb(:, :, 23) = 0.37600.0201 − 0.2469i −0.7103 + 0.1326i0.4703 − 0.2863i −0.2350 − 0.1467i0.1344 − 0.2272i 0.1371 + 0.4893i0.4213 + 0.6232im_cb(:, :, 24) = 0.3780−0.1555 + 0.3563i −0.7103 + 0.1326i0.3984 + 0.4400i −0.2350 − 0.1467i−0.1482 − 0.5560i 0.1371 + 0.4893i−0.1421 + 0.3812im_cb(:, :, 25) = 0.37800.2830 + 0.0940i 0.2830 − 0.0940i0.8570 + 0.0000i 0.0702 − 0.8261i−0.1568 + 0.3653i −0.2801 + 0.0491i0.1349 + 0.0200im_cb(:, :, 26) = 0.37800.2665 − 0.5068i 0.2830 − 0.0940i0.4553 + 0.2709i 0.0702 − 0.8261i−0.0771 + 0.0985i −0.2801 + 0.0491i0.3283 − 0.5177im_cb(:, :, 27) = 0.37800.1713 + 0.1944i 0.2830 − 0.0940i0.3927 − 0.0626i 0.0702 − 0.8261i−0.3435 + 0.3427i −0.2801 + 0.0491i−0.5358 − 0.5023im_cb(:, :, 28) = 0.3780−0.5439 + 0.1579i 0.2830 − 0.0940i0.7236 − 0.1540i 0.0702 − 0.8261i−0.1547 − 0.0874i −0.2801 + 0.0491i0.2297 − 0.2181im_cb(:, :, 29) = 0.37800.0112 + 0.6008i 0.2830 − 0.0940i0.4041 − 0.2717i 0.0702 − 0.8261i−0.0819 + 0.2673i −0.2801 + 0.0491i−0.2008 + 0.5323im_cb(:, :, 30) = 0.37800.4406 + 0.5329i 0.2830 − 0.0940i0.2144 − 0.1759i 0.0702 − 0.8261i−0.2755 + 0.0733i −0.2801 + 0.0491i0.5368 − 0.2750im_cb(:, :, 31) = 0.37800.1159 − 0.1003i 0.2830 − 0.0940i0.4624 + 0.0631i 0.0702 − 0.8261i0.1887 + 0.0266i −0.2801 + 0.0491i0.6643 + 0.5302im_cb(:, :, 32) = 0.37800.8258 − 0.0754i 0.2830 − 0.0940i0.1357 + 0.1591i 0.0702 − 0.8261i0.0016 + 0.4513i −0.2801 + 0.0491i−0.0906 + 0.2382im_cb(:, :, 33) = 0.3780−0.0841 − 0.6478i −0.0841 + 0.6478i0.3140 + 0.0000i 0.0184 + 0.0490i−0.0485 + 0.0258i −0.3272 − 0.5662i0.5454 − 0.4174im_cb(:, :, 34) = 0.37800.0001 − 0.0660i −0.0841 + 0.6478i0.4313 − 0.0090i 0.0184 + 0.0490i−0.7253 − 0.3107i −0.3272 − 0.5662i0.3084 − 0.3031im_cb(:, :, 35) = 0.37800.4953 − 0.4853i −0.0841 + 0.6478i0.0616 − 0.5815i 0.0184 + 0.0490i−0.1188 + 0.1125i −0.3272 − 0.5662i0.0740 − 0.3807im_cb(:, :, 36) = 0.37800.0266 + 0.0588i −0.0841 + 0.6478i0.5648 − 0.0197i 0.0184 + 0.0490i−0.0025 + 0.6489i −0.3272 − 0.5662i0.4226 − 0.2770im_cb(:, :, 37) = 0.3780−0.0790 − 0.5825i −0.0841 + 0.6478i−0.1173 + 0.0035i 0.0184 + 0.0490i0.6736 + 0.3437i −0.3272 − 0.5662i0.2353 − 0.1157im_cb(:, :, 38) = 0.37800.1200 − 0.0279i −0.0841 + 0.6478i0.4825 − 0.1287i 0.0184 + 0.0490i0.4762 − 0.4603i −0.3272 − 0.5662i0.3849 − 0.3856im_cb(:, :, 39) = 0.3780−0.5814 − 0.1700i −0.0841 + 0.6476i0.2443 + 0.5825i 0.0184 + 0.0490i0.0724 − 0.0878i −0.3272 − 0.5662i0.4689 − 0.0342im_cb(:, :, 40) = 0.3780−0.1158 − 0.7046i −0.0841 + 0.6478i−0.2495 + 0.0253i 0.0184 + 0.0490i−0.0575 − 0.6240i −0.3272 − 0.5662i0.1239 − 0.1387im_cb(:, :, 41) = 0.37800.5247 − 0.3532i 0.5247 + 0.3532i0.3569 + 0.0000i 0.4115 + 0.1825i−0.4508 + 0.0797i 0.2639 + 0.4299i−0.4667 − 0.2128im_cb(:, :, 42) = 0.3780−0.1409 − 0.3514i 0.5247 + 0.3532i0.4194 + 0.3764i 0.4115 + 0.1825i−0.7300 − 0.0388i 0.2639 + 0.4299i0.0653 − 0.0220im_cb(:, :, 43) = 0.3780−0.1533 + 0.0099i 0.5247 + 0.3532i0.6349 + 0.0787i 0.4115 + 0.1825i0.0384 + 0.1755i 0.2639 + 0.4299i−0.5564 − 0.4746im_cb(:, :, 44) = 0.37800.3581 − 0.1931i 0.5247 + 0.3532i0.0883 − 0.0404i 0.4115 + 0.1825i−0.2999 + 0.6754i 0.2639 + 0.4299i0.1768 − 0.4977im_cb(:, :, 45) = 0.37800.6620 + 0.0025i 0.5247 + 0.3532i−0.0570 − 0.3779i 0.4115 + 0.1825i0.2799 + 0.1243i 0.2639 + 0.4299i−0.5324 − 0.1959im_cb(:, :, 46) = 0.37800.2476 − 0.7029i 0.5247 + 0.3532i−0.1125 + 0.4523i 0.4115 + 0.1825i0.1119 − 0.0594i 0.2639 + 0.4299i−0.2945 − 0.3531im_cb(:, :, 47) = 0.37800.6802 − 0.3584i 0.5247 + 0.3532i−0.2773 − 0.0838i 0.4115 + 0.1825i−0.4866 − 0.1011i 0.2639 + 0.4299i0.0838 + 0.2665im_cb(:, :, 48) = 0.37800.1653 − 0.1594i 0.5247 + 0.3532i0.2701 + 0.0406i 0.4115 + 0.1825i−0.1616 − 0.5970i 0.2639 + 0.4299i−0.6369 + 0.2907im_cb(:, :, 49) = 0.37800.2058 + 0.1369i 0.2058 − 0.1369i0.9018 + 0.0000i −0.5211 + 0.0833i0.1908 + 0.0871i 0.6136 − 0.3755i−0.2857 − 0.0108im_cb(:, :, 50) = 0.37800.7053 + 0.2199i 0.2058 − 0.1369i0.2162 + 0.0824i −0.5211 + 0.0833i−0.0997 − 0.2229i 0.6136 − 0.3755i−0.5802 − 0.0596im_cb(:, :, 51) = 0.3780−0.0204 − 0.5870i 0.2058 − 0.1369i0.6359 + 0.1898i −0.5211 + 0.0833i−0.1617 − 0.3520i 0.6136 − 0.3755i−0.2538 − 0.0095im_cb(:, :, 52) = 0.37800.5689 − 0.3015i 0.2058 − 0.1369i0.3781 + 0.2249i −0.5211 + 0.0833i0.4299 + 0.3240i 0.6136 − 0.3755i0.0829 + 0.3087im_cb(:, :, 53) = 0.3780−0.4982 − 0.0922i 0.2058 − 0.1369i0.6851 − 0.0791i −0.5211 + 0.0833i0.2874 + 0.3098i 0.6136 − 0.3755i0.2937 + 0.0528im_cb(:, :, 54) = 0.37800.1753 + 0.0797i 0.2058 − 0.1369i0.4198 + 0.0122i −0.5211 + 0.0833i0.6394 − 0.4084i 0.6136 − 0.3755i0.0753 − 0.4529im_cb(:, :, 55) = 0.37800.2166 + 0.7264i 0.2058 − 0.1369i0.2685 − 0.1927i −0.5211 + 0.0833i0.3474 + 0.4410i 0.6136 − 0.3755i−0.0321 − 0.0013im_cb(:, :, 56) = 0.3780−0.3556 + 0.4453i 0.2058 − 0.1369i0.5197 − 0.2256i −0.5211 + 0.0833i−0.2437 − 0.2333i 0.6136 − 0.3755i−0.3746 − 0.3165im_cb(:, :, 57) = 0.37800.0618 + 0.3332i 0.0618 − 0.3332i0.8154 − 0.0000i −0.3456 + 0.5029i0.3037 + 0.1352i −0.5704 + 0.2113i0.1698 + 0.2845im_cb(:, :, 58) = 0.3780−0.0758 + 0.7374i 0.0618 − 0.3332i0.1126 − 0.1139i −0.3456 + 0.5029i−0.1661 + 0.1583i −0.5704 + 0.2113i0.4293 + 0.4335im_cb(:, :, 59) = 0.37800.3592 + 0.6139i 0.0618 − 0.3332i0.1355 + 0.1314i −0.3456 + 0.5029i0.6299 + 0.1878i −0.5704 + 0.2113i−0.0903 − 0.1354im_cb(:, :, 60) = 0.37800.0275 + 0.0360i 0.0618 − 0.3332i0.4780 + 0.0112i −0.3456 + 0.5029i0.0381 + 0.6505i −0.5704 + 0.2113i0.4996 − 0.3085im_cb(:, :, 61) = 0.37800.1441 − 0.4010i 0.0618 − 0.3332i0.7005 + 0.1170i −0.3456 + 0.5029i0.4730 − 0.0190i −0.5704 + 0.2113i−0.2574 − 0.1540im_cb(:, :, 62) = 0.3780−0.6336 + 0.2901i 0.0618 − 0.3332i0.4029 − 0.3682i −0.3456 + 0.5029i0.3644 + 0.2216i −0.5704 + 0.2113i−0.1861 + 0.0011im_cb(:, :, 63) = 0.3780−0.2926 − 0.2844i 0.0618 − 0.3332i0.6814 − 0.1285i −0.3456 + 0.5029i−0.3239 − 0.0600i −0.5704 + 0.2113i0.2550 + 0.4231im_cb(:, :, 64) = 0.37800.0356 + 0.2994i 0.0618 − 0.3332i0.3361 − 0.0106i −0.3456 + 0.5029i0.2564 − 0.5164i −0.5704 + 0.2113i−0.3222 + 0.5998iFor four transmit antennas, threetransmission streams, and 3-bit feedbackinformation,m_cb(:, :, 1) = 0 0 0 1 0 0 0 1 0 0 0 1m_cb(:, :, 2) = Columns 1 through 2 −0.2698 + 0.5668i0.5957 − 0.1578i 0.36650.4022 + 0.4743i 0.4022 − 0.4743i0.3894 −0.1509 − 0.2492i−0.0908 + 0.2712i Column 3 0.1587 + 0.2411i −0.1509 + 0.2492i −0.0908 − 0.2712i 0.8660m_cb(:, :, 3) = Columns 1 through 2 −0.7103 − 0.1326i−0.2350 + 0.1467i 0.1606−0.2371 + 0.2176i −0.2371 − 0.2176i0.8766 0.0522 + 0.5880i0.1672 + 0.1525i Column 3 0.1371 − 0.4893i 0.0522 − 0.5880i 0.1672 − 0.1525i 0.5848m_cb(:, :, 4) = Columns 1 through 2 0.2830 + 0.0940i0.0702 + 0.8261i 0.8570−0.1568 − 0.3653i −0.1568 + 0.3653i−0.1050 0.1349 + 0.0200i0.0968 + 0.3665i Column 3 −0.2801 − 0.0491i 0.1349 − 0.0200i 0.0968 − 0.3665i 0.8700m_cb(:, :, 5) = Columns 1 through 2 −0.0841 − 0.6478i0.0184 − 0.0490i 0.3140−0.0485 − 0.0258i −0.0485 + 0.0258i0.9956 0.5454 − 0.4174i0.0543 − 0.0090i Column 3 −0.3272 + 0.5662i 0.5454 + 0.4174i 0.0543 + 0.0090i 0.3125m_cb(:, :, 6) = Columns 1 through 2 0.5247 − 0.3532i0.4115 − 0.1825i 0.3569−0.4508 − 0.0797i −0.4508 + 0.0797i0.6742 −0.4667 − 0.2128i−0.3007 − 0.2070i Column 3 0.2639 − 0.4299i −0.4667 + 0.2128i −0.3007 + 0.2070i 0.5910m_cb(:, :, 7) = Columns 1 through 2 0.2058 + 0.1369i−0.5211 − 0.0833i 0.90180.1908 − 0.0871i 0.1908 + 0.0871i0.5522 −02857 − 0.0108i0.5644 − 0.2324i Column 3 0.6136 + 0.3755i −0.2857 + 0.0108i 0.5644 + 0.2324i 0.1680m_cb(:, :, 8) = Columns 1 through 2 0.0618 + 0.3332i−0.3456 − 0.5029i 0.81540.3037 − 0.1352i 0.3037 + 0.1352i0.4015 0.1698 + 0.2845i−0.4877 − 0.3437i Column 3 −0.5704 − 0.2113i 0.1698 − 0.2845i −0.4877 + 0.3437i 0.4052For four transmit antennas, threetransmission streams, and 6-bit feedbackinformation,m_cb(:, :, 1) = Columns 1 through 2 −0.0000 − 0.5000i−0.5000 + 0.0000i 0.50000.0000 + 0.5000i 0.0000 − 0.5000i0.5000 0.5000 + 0.0000i0 − 0.5000i Column 3 0.0000 + 0.5000i 0.5000 − 0.0000i 0 + 0.5000i 0.5000m_cb(:, :, 2) = Columns 1 through 2 −0.0061 + 0.3221i0.5831 − 0.3664i 0.81030.2222 + 0.3391i 0.2222 − 0.3391i0.1332 0.0100 − 0.2740i−0.5017 + 0.3031i Column 3 0.4656 − 0.0082i 0.0100 + 0.2740i −0.5017 − 0.3031i 0.6036m_cb(:, :, 3) = Columns 1 through 2 −0.8206 + 0.0812i−0.0467 + 0.1325i −0.1674−0.0842 + 0.1801i −0.0842 − 0.1801i0.9661 −0.4027 + 0.3005i0.0173 + 0.0838i Column 3 −0.3040 − 0.1832i −0.4027 − 0.3005i 0.0173 − 0.0838i 0.7837m_cb(:, :, 4) = Columns 1 through 2 −0.1137 − 0.3084i0.0057 − 0.0632i 0.7825−0.0379 − 0.0180i −0.0379 + 0.0180i0.9919 0.3768 − 0.3687i0.0963 − 0.0331i Column 3 −0.3257 + 0.7269i 0.3768 + 0.3687i 0.0963 + 0.0331i −0.2778m_cb(:, :, 5) = Columns 1 through 2 0.4579 − 0.1394i−0.1299 − 0.4665i 0.5167−0.0116 + 0.4888i −0.0116 − 0.4888i0.5053 −0.2782 − 0.4329i−0.4446 + 0.2710i Column 3 0.1388 − 0.4904i −0.2782 + 0.4329i −0.4446 − 0.2710i 0.4520m_cb(:, :, 6) = Columns 1 through 2 −0.8917 + 0.2667i0.1500 − 0.2390i −0.04030.2371 − 0.2079i 0.2371 + 0.2079i0.9044 0.1565 + 0.0904i−0.0537 + 0.0107i Column 3 0.1110 − 0.1176i 0.1565 − 0.0904i −0.0537 − 0.0107i 0.9686m_cb(:, :, 7) = Columns 1 through 2 −0.1631 + 0.1634i0.2091 − 0.3930i 0.93250.1245 − 0.0379i 0.1245 + 0.0379i0.7490 −0.2064 − 0.1295i0.4572 + 0.1219i Column 3 −0.1900 + 0.8174i −0.2084 + 0.1295i 0.4572 − 0.1219i 0.1081m_cb(:, :, 8) = Columns 1 through 2 0.2752 − 0.4443i0.1752 − 0.1139i −0.1213−0.4056 − 0.1908i −0.4056 + 0.1908i0.8208 −0.4991 − 0.5120i−0.0934 − 0.2701i Column 3 −0.0804 − 0.3234i −0.4991 + 0.5120i −0.0934 + 0.2701i 0.5441m_cb(:, :, 9) = Columns 1 through 2 0.2486 + 0.6005i−0.4694 + 0.0852i 0.37790.0965 − 0.4464i 0.0965 + 0.4464i0.6648 0.4753 + 0.0187i−0.0871 + 0.3381i Column 3 −0.2080 − 0.4513i 0.4753 − 0.0187i −0.0871 − 0.3381i 0.6364m_cb(:, :, 10) = Columns 1 through 2 0.4402 − 0.0658i−0.5670 + 0.0322i 0.69820.3834 + 0.0353i 0.3834 − 0.0353i0.5086 −0.3520 + 0.2054i0.4713 − 0.2198i Column 3 0.5583 + 0.2228i −0.3520 − 0.2054i 0.4713 + 0.2198i 0.4496m_cb(:, :, 11) = Columns 1 through 2 0.0822 − 0.3279i0.7147 − 0.0599i 0.7114−0.1980 − 0.5793i −0.1980 + 0.5793i−0.2989 −0.0295 − 0.0623i0.1049 − 0.1019i Column 3 −0.0624 − 0.0513i −0.0295 + 0.0623i 0.1049 + 0.1019i 0.9835m_cb(:, :, 12) = Columns 1 through 2 −0.1355 + 0.2827i−0.2835 + 0.3188i 0.7287−0.3549 − 0.1020i −0.3549 + 0.1020i0.4975 0.3626 + 0.3208i0.3537 + 0.5559i Column 3 −0.1532 − 0.5380i 0.3626 − 0.3208i 0.3537 − 0.5559i 0.1360m_cb(:, :, 13) = Columns 1 through 2 0.3739 − 0.1332i−0.3179 + 0.3015i 0.56440.4397 − 0.1947i 0.4397 + 0.1947i0.4692 0.0004 + 0.5410i−0.2422 − 0.5459i Column 3 0.1651 + 0.4645i 0.0004 − 0.5410i −0.2422 + 0.5459i 0.3280m_cb(:, :, 14) = Columns 1 through 2 0.0906 − 0.0725i0.5721 − 0.7826i 0.9832−0.1351 + 0.0366i −0.1351 − 0.0366i−0.1691 −0.0105 + 0.0079i−0.0678 + 0.0864i Column 3 0.0910 − 0.0031i −0.0105 − 0.0079i −0.0678 − 0.0864i 0.9897m_cb(:, :, 15) = Columns 1 through 2 −0.5192 + 0.0784i0.1092 + 0.3313i 0.14960.0948 + 0.5569i 0.0948 − 0.5569i0.6247 0.3176 + 0.5310i0.3123 − 0.2672i Column 3 0.1450 − 0.3534i 0.3176 − 0.5310i 0.3123 + 0.2672i 0.5499m_cb(:, :, 16) = Columns 1 through 2 0.1144 + 0.1440i0.0745 + 0.3217i 0.9095−0.1468 − 0.0698i −0.1468 + 0.0698i0.7080 −0.1875 + 0.2784i−0.5186 + 0.3069i Column 3 −0.2057 + 0.6499i −0.1875 − 0.2784i −0.5186 − 0.3069i −0.2439m_cb(:, :, 17) = Columns 1 through 2 −0.0351 − 0.4319i−0.6207 − 0.4209i 0.6436−0.3864 + 0.4809i −0.3864 − 0.4809i−0.0678 −0.0612 − 0.1172i−0.2245 − 0.0445i Column 3 −0.1480 − 0.0626i −0.0612 + 0.1172i −0.2245 + 0.0445i 0.9509m_cb(:, :, 18) = Columns 1 through 2 −0.5936 + 0.1741i0.4291 + 0.0666i 0.35750.4082 + 0.1918i 0.4082 − 0.1918i0.6834 0.5341 − 0.0285i−0.3478 − 0.1413i Column 3 0.5012 − 0.1184i 0.5341 + 0.0285i −0.3478 + 0.1413i 0.5548m_cb(:, :, 19) = Columns 1 through 2 −0.1038 + 0.5703i0.3323 + 0.0915i 0.4984−0.0264 + 0.2970i −0.0264 − 0.2970i0.8227 −0.5535 + 0.1423i0.0551 + 0.3353i Column 3 −0.2763 + 0.5999i −0.5535 − 0.1423i 0.0551 − 0.3353i 0.3489m_cb(:, :, 20) = Columns 1 through 2 −0.2432 − 0.5431i−0.1270 − 0.2543i −0.1076−0.5287 + 0.0222i −0.5287 − 0.0222i0.7472 0.1102 − 0.5849i0.0408 − 0.2814i Column 3 −0.2626 + 0.1825i 0.1102 + 0.5849i 0.0408 + 0.2814i 0.6801m_cb(:, :, 21) = Columns 1 through 2 0.1655 + 0.3560i−0.0849 − 0.3618i 0.78730.1971 + 0.0409i 0.1971 − 0.0409i0.8095 0.3303 − 0.2763i−0.3592 + 0.1925i Column 3 0.2054 − 0.7680i 0.3303 + 0.2763i −0.3592 − 0.1925i 0.1281m_cb(:, :, 22) = Columns 1 through 2 0.8742 + 0.1496i−0.1556 − 0.1843i 0.01450.2049 + 0.1727i 0.2049 − 0.1727i0.9271 −0.3260 + 0.1874i0.1006 + 0.0182i Column 3 0.2607 + 0.2157i −0.3260 − 0.1874i 0.1006 − 0.0182i 0.8565m_cb(:, :, 23) = Columns 1 through 2 −0.4030 −0.2771i0.3315 − 0.4502i 0.53540.0172 − 0.5307i 0.0172 + 0.5307i0.3931 0.1009 − 0.4266i0.4836 + 0.1311i Column 3 −0.1668 + 0.4303i 0.1009 + 0.4266i 0.4836 − 0.1311i 0.5864m_cb(:, :, 24) = Columns 1 through 2 0.1119 − 0.1280i−0.0461 + 0.0235i 0.93100.0195 + 0.0078i 0.0195 − 0.0078i0.9936 −0.2318 − 0.2239i0.0402 + 0.0895i Column 3 −0.0396 − 0.7933i −0.2318 + 0.2239i 0.0402 − 0.0895i −0.5056m_cb(:, :, 25) = Columns 1 through 2 0.8120 − 0.0534i−0.0709 + 0.2272i −0.24880.1314 − 0.3409i 0.1314 + 0.3409i0.8931 0.2543 + 0.2790i−0.1029 + 0.0401i Column 3 −0.1534 + 0.1923i 0.2543 − 0.2790i −0.1029 − 0.0401i 0.8859m_cb(:, :, 26) = Columns 1 through 2 −0.0556 + 0.2153i−0.5304 − 0.6183i 0.92540.1564 − 0.2243i 0.1564 + 0.2243i−0.0020 −0.0341 − 0.1353i0.4782 + 0.1811i Column 3 0.3649 + 0.1993i −0.0341 + 0.1353i 0.4782 − 0.1811i 0.7390m_cb(:, :, 27) = Columns 1 through 2 −0.1124 − 0.3086i0.4072 + 0.2116i 0.71170.2968 − 0.2723i 0.2968 + 0.2723i0.4372 −0.3667 + 0.2982i0.0959 − 0.6533i Column 3 0.1763 − 0.5087i −0.3667 − 0.2982i 0.0959 + 0.6533i 0.2253m_cb(:, :, 28) = Columns 1 through 2 0.3939 + 0.2804i0.1818 + 0.4618i 0.5072−0.4238 − 0.2760i −0.4238 + 0.2760i0.4809 0.3459 + 0.3653i0.0929 + 0.5079i Column 3 −0.4844 + 0.0951i 0.3459 − 0.3653i 0.0929 − 0.5079i 0.4864m_cb(:, :, 29) = Columns 1 through 2 0.0575 − 0.0818i−0.6296 − 0.0292i 0.96240.1270 + 0.2000i 0.1270 − 0.2000i−0.4930 −0.0150 + 0.0861i0.5088 − 0.2112i Column 3 0.2104 + 0.0990i −0.0150 − 0.0861i 0.5088 + 0.2112i 0.7967m_cb(:, :, 30) = Columns 1 through 2 −0.1524 − 0.1960i0.7728 + 0.1448i 0.90900.2157 − 0.1910i 0.2157 + 0.1910i0.0874 0.0581 + 0.1602i−0.4741 − 0.2577i Column 3 0.4423 − 0.1430i 0.0581 − 0.1602i −0.4741 + 0.2577i 0.6809m_cb(:, :, 31) = Columns 1 through 2 −0.2781 + 0.4906i0.2755 + 0.5384i 0.5033−0.2929 + 0.4449i −0.2929 − 0.4449i0.4287 −0.0133 + 0.3805i0.3329 + 0.2363i Column 3 −0.3833 − 0.1998i −0.0133 − 0.3805i 0.3329 − 0.2363i 0.7082m_cb(:, :, 32) = Columns 1 through 2 −0.1516 − 0.1154i−0.1195 + 0.0935i 0.6587−0.0688 + 0.2628i −0.0688 − 0.2628i0.7837 0.4904 − 0.4642i−0.2586 − 0.4713i Column 3 0.0609 + 0.3721i 0.4904 + 0.4642i −0.2586 + 0.4713i −0.3360m_cb(:, :, 33) = Columns 1 through 2 −0.0345 − 0.1074i−0.5181 − 0.5298i 0.9846−0.0907 + 0.0453i −0.0907 − 0.0453i0.3337 −0.0826 − 0.0282i−0.5686 + 0.0768i Column 3 −0.3811 − 0.5118i −0.0826 + 0.0282i −0.5686 − 0.0768i 0.5059m_cb(:, :, 34) = Columns 1 through 2 −0.8248 − 0.1153i−0.0024 + 0.4536i 0.21250.0571 + 0.4251i 0.0571 − 0.4251i0.7664 0.2147 + 0.1764i0.0796 − 0.1287i Column 3 0.2507 − 0.1533i 0.2147 − 0.1764i 0.0796 + 0.1287i 0.9020m_cb(:, :, 35) = Columns 1 through 2 −0.2525 + 0.2046i0.3214 − 0.1313i 0.68740.3197 + 0.0965i 0.3197 − 0.0965i0.6432 −0.2378 − 0.5037i0.0878 + 0.5887i Column 3 0.1375 + 0.5626i −0.2378 + 0.5037i 0.0878 − 0.5887i 0.0073m_cb(:, :, 36) = Columns 1 through 2 −0.2862 − 0.4416i−0.2458 − 0.2365i 0.4445−0.3506 + 0.0820i −0.3506 − 0.0820i0.7666 −0.6182 − 0.1167i−0.4074 + 0.0175i Column 3 −0.4113 − 0.4314i −0.6182 + 0.1167i −0.4074 − 0.0175i 0.2875m_cb(:, :, 37) = Columns 1 through 2 0.5947 − 0.4582i−0.1229 + 0.0033i 0.32790.0889 + 0.0648i 0.0889 − 0.0648i0.9820 0.5567 − 0.0827i−0.0816 − 0.0428i Column 3 −0.5490 + 0.3063i 0.5567 + 0.0827i −0.0816 + 0.0428i 0.5287m_cb(:, :, 38) = Columns 1 through 2 0.3385 + 0.4039i−0.0662 − 0.4865i 0.49270.3998 + 0.2520i 0.3998 − 0.2520i0.5597 −0.4396 − 0.2508i0.2218 + 0.4160i Column 3 0.4930 + 0.1826i −0.4396 + 0.2508i 0.2218 − 0.4160i 0.4951m_cb(:, :, 39) = Columns 1 through 2 −0.4788 − 0.5464i0.3125 − 0.2377i −0.01510.0380 − 0.5473i 0.0380 + 0.5473i0.7035 −0.4132 − 0.0163i0.0242 − 0.2222i Column 3 −0.2037 − 0.2147i −0.4132 + 0.0163i 0.0242 + 0.2222i 0.8315m_cb(:, :, 40) = Columns 1 through 2 0.3244 + 0.0826i0.1090 + 0.2542i 0.8440−0.0784 − 0.1023i −0.0784 + 0.1023i0.8935 0.3800 − 0.1211i0.2705 + 0.1883i Column 3 −0.7259 − 0.4528i 0.3800 + 0.1211i 0.2705 − 0.1883i −0.0194m_cb(:, :, 41) = Columns 1 through 2 0.5742 − 0.0764i−0.2356 − 0.0500i −0.29590.5077 + 0.1803i 0.5077 − 0.1803i0.7760 −0.5342 − 0.0359i0.2043 + 0.0884i Column 3 0.2346 − 0.0474i −0.5342 + 0.0359i 0.2043 − 0.0884i 0.7788m_cb(:, :, 42) = Columns 1 through 2 −0.5822 − 0.0360i0.2189 − 0.7604i 0.59170.1200 − 0.5408i 0.1200 + 0.5408i0.2485 0.0401 + 0.0349i−0.0581 + 0.0428i Column 3 0.0602 − 0.0463i 0.0401 − 0.0349i −0.0581 − 0.0428i 0.9931m_cb(:, :, 43) = Columns 1 through 2 −0.1895 − 0.0198i0.1261 + 0.5181i 0.94590.0509 + 0.1425i 0.0509 − 0.1425i0.5766 −0.0220 + 0.2134i0.5830 − 0.1428i Column 3 0.0010 − 0.7559i −0.0220 − 0.2134i 0.5830 + 0.1428i 0.1489m_cb(:, :, 44) = Columns 1 through 2 0.3610 − 0.0871i0.2273 + 0.2023i 0.0062−0.4642 − 0.6690i −0.4642 + 0.6690i0.3328 0.1281 + 0.4273i−0.2278 + 0.2858i Column 3 −0.0091 + 0.1665i 0.1281 − 0.4273i −0.2278 − 0.2858i 0.7998m_cb(:, :, 45) = Columns 1 through 2 −0.1615 + 0.2107i−0.7948 − 0.1069i 0.8665−0.2005 − 0.3500i −0.2005 + 0.3500i−0.2185 0.0591 + 0.1120i−0.2048 + 0.3231i Column 3 −0.1053 − 0.2288i 0.0591 − 0.1120i −0.2048 − 0.3231i 0.8799m_cb(:, :, 46) = Columns 1 through 2 −0.2240 − 0.3579i−0.0063 + 0.6069i 0.74300.3111 + 0.1993i 0.3111 − 0.1993i0.4688 0.1669 + 0.3246i0.0497 − 0.5223i Column 3 0.5974 − 0.0506i 0.1669 − 0.3246i 0.0497 + 0.5223i 0.4817m_cb(:, :, 47) = Columns 1 through 2 0.1557 + 0.2349i0.6701 + 0.1265i 0.8039−0.3310 + 0.3400i −0.3310 − 0.3400i−0.1480 −0.1604 + 0.1532i−0.0051 + 0.5366i Column 3 −0.0562 + 0.3138i −0.1604 − 0.1532i −0.0051 − 0.5366i 0.7492m_cb(:, :, 48) = Columns 1 through 2 −0.4452 − 0.0626i−0.4040 + 0.0514i 0.0787−0.8051 + 0.2194i −0.8051 − 0.2194i0.2443 −0.2426 + 0.1911i−0.1664 + 0.2248i Column 3 −0.1043 − 0.1088i −0.2426 − 0.1911i −0.1664 − 0.2248i 0.8965m_cb(:, :, 49) = Columns 1 through 2 0.0441 − 0.2702i−0.1984 + 0.4442i 0.90150.1692 + 0.0447i 0.1692 − 0.0447i0.6891 0.2813 + 0.0505i−0.4602 − 0.2145i Column 3 0.0127 + 0.7945i 0.2813 − 0.0505i −0.4602 + 0.2145i 0.1707m_cb(:, :, 50) = Columns 1 through 2 0.5885 + 0.2614i0.3821 − 0.5878i 0.4571−0.0933 + 0.5837i −0.0933 − 0.5837i0.3565 −0.1618 + 0.0293i0.0037 + 0.1789i Column 3 0.1612 + 0.1097i −0.1618 − 0.0293i 0.0037 − 0.1789i 0.9502m_cb(:, :, 51) = Columns 1 through 2 −0.6700 − 0.0265i0.1179 − 0.0871i −0.54900.2642 − 0.2119i 0.2642 + 0.2119i0.9259 0.1926 − 0.3117i0.0098 + 0.0795i Column 3 0.0780 + 0.1381i 0.1926 + 0.3117i 0.0098 − 0.0795i 0.9133m_cb(:, :, 52) = Columns 1 through 2 −0.1721 − 0.0352i−0.1656 + 0.1102i 0.9612−0.0310 + 0.0312i −0.0310 − 0.0312i0.9502 −0.1967 − 0.0683i−0.2118 + 0.1035i Column 3 −0.9338 + 0.1244i −0.1967 + 0.0683i −0.2118 − 0.1035i −0.1165m_cb(:, :, 53) = Columns 1 through 2 0.6113 − 0.5146i−0.1360 − 0.3050i −0.2196−0.1410 + 0.4898i −0.1410 − 0.4898i0.7870 0.1824 − 0.1420i−0.0359 − 0.0897i Column 3 −0.1514 + 0.0058i 0.1824 + 0.1420i −0.0359 + 0.0897i 0.9562m_cb(:, :, 54) = Columns 1 through 2 −0.3936 + 0.4501i0.0606 − 0.5087i 0.36380.4500 − 0.3078i 0.4500 + 0.3078i0.5328 0.2667 − 0.3766i−0.0064 + 0.3954i Column 3 0.4314 + 0.0443i 0.2667 + 0.3766i −0.0064 − 0.3954i 0.6652m_cb(:, :, 55) = Columns 1 through 2 −0.3459 − 0.4714i0.1674 + 0.1088i 0.57350.1362 − 0.0515i 0.1362 + 0.0515i0.9503 −0.5381 + 0.1358i0.1554 − 0.1083i Column 3 −0.2863 − 0.7049i −0.5381 − 0.1358i 0.1554 + 0.1083i 0.2779m_cb(:, :, 56) = Columns 1 through 2 0.4187 − 0.4255i0.3390 − 0.0502i 0.1895−0.3715 − 0.2803i −0.3715 + 0.2803i0.7328 0.5651 − 0.2682i0.3517 + 0.0725i Column 3 −0.4327 + 0.1581i 0.5651 + 0.2682i 0.3517 − 0.0725i 0.5173m_cb(:, :, 57) = Columns 1 through 2 0.1886 + 0.2454i−0.4445 − 0.1772i 0.72080.3711 − 0.2206i 0.3711 + 0.2206i0.3326 0.1445 − 0.4213i0.1407 + 0.6740i Column 3 0.2727 − 0.4115i 0.1445 + 0.4213i 0.1407 − 0.6740i 0.2897m_cb(:, :, 58) = Columns 1 through 2 0.4085 − 0.5675i0.1164 + 0.5210i 0.40480.3021 − 0.3395i 0.3021 + 0.3395i0.653i −0.2132 + 0.3087i−0.0679 − 0.2782i Column 3 0.4406 + 0.0086i −0.2132 − 0.3087i −0.0679 + 0.2782i 0.7636m_cb(:, :, 59) = Columns 1 through 2 0.2028 − 0.0401i0.7669 + 0.0056i 0.9403−0.2171 − 0.0446i −0.2171 + 0.0446i0.1779 0.1548 + 0.0098i0.5552 + 0.1512i Column 3 −0.5189 + 0.1373i 0.1548 − 0.0098i 0.5552 − 0.1512i 0.5973m_cb(:, :, 60) = Columns 1 through 2 0.0187 − 0.0451i−0.0862 + 0.1445i 0.96390.1231 + 0.0179i 0.1231 − 0.0179i0.5713 −0.2279 + 0.0330i0.7936 + 0.0001i Column 3 0.1596 − 0.2674i −0.2279 − 0.0330i 0.7936 − 0.0001i −0.469im_cb(:, :, 61) = Columns 1 through 2 0.3968 + 0.2460i−0.3832 + 0.5395i 0.68720.0278 − 0.4424i 0.0278 + 0.4424i0.3717 0.0507 + 0.3326i−0.4750 + 0.0421i Column 3 −0.3259 + 0.3822i 0.0507 − 0.3328i −0.4750 − 0.0421i 0.6380m_cb(:, :, 62) = Columns 1 through 2 −0.0101 − 0.3605i−0.8263 − 0.0847i 0.8436−0.0468 + 0.3571i −0.0468 − 0.3571i0.1704 0.0816 + 0.1478i0.3620 − 0.1422i Column 3 0.3460 + 0.1786i 0.0816 − 0.1478i 0.3620 + 0.1422i 0.8177m_cb(:, :, 63) = Columns 1 through 2 −0.1917 + 0.0197i0.4523 + 0.1278i 0.78740.4821 + 0.1912i 0.4821 − 0.1912i−0.2651 0.2665 − 0.0538i−0.6527 − 0.1176i Column 3 0.2452 + 0.0239i 0.2665 + 0.0538i −0.6527 + 0.1176i 0.6524m_cb(:, :, 64) = Columns 1 through 2 −0.3114 + 0.3205i−0.3590 + 0.3506i 0.6364−0.4082 − 0.0107i −0.4082 + 0.0107i0.5414 −0.3195 + 0.3557i−0.3692 + 0.3899i Column 3 −0.5871 − 0.0230i −0.3195 − 0.3557i −0.3692 − 0.3899i 0.3714For four transmit antennas, fourtransmission streams, and 3-bit feedbackinformation,m_cb(:, :, 1) = 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1m_cb(:, :, 2) = Columns 1 through 2 0.3780−0.2698 + 0.5668i −0.2698 − 0.5668i0.3665 0.5957 + 0.1578i0.4022 − 0.4743i 0.1587 − 0.2411i−0.1509 − 0.2492i Columns 3 through 4 0.5957 − 0.1578i0.1587 + 0.2411i 0.4022 + 0.4743i−0.1509 + 0.2492i 0.3894−0.0908 − 0.2712i −0.0908 + 0.2712i0.8660m_cb(:, :, 3) = Columns 1 through 2 0.3780−0.7103 − 0.1326i −0.7103 + 0.1326i0.1606 −0.2350 − 0.1467i−0.2371 − 0.2176i 0.1371 + 0.4893i0.0522 + 0.5880i Columns 3 through 4 −0.2350 + 0.1467i0.1371 − 0.4893i −0.2371 + 0.2176i0.0522 − 0.5880i 0.87660.1672 − 0.1525i 0.1672 + 0.1525i0.5848m_cb(:, :, 4) = Columns 1 through 2 0.37800.2830 + 0.0940i 0.2830 − 0.0940i0.8570 0.0702 − 0.8261i−0.1568 + 0.3653i −0.2801 + 0.0491i0.1349 + 0.0200i Columns 3 through 4 0.0702 + 0.8261i−0.2801 − 0.0491i −0.1568 − 0.3653i0.1349 − 0.0200i −0.10500.0968 − 0.3665i 0.0968 + 0.3665i0.8700m_cb(:, :, 5) = Columns 1 through 2 0.3780−0.0841 − 0.6478i −0.0841 + 0.6478i0.3140 0.0184 + 0.0490i−0.0485 + 0.0258i −0.3272 − 0.5662i0.5454 − 0.4174i Columns 3 through 4 0.0184 − 0.0490i−0.3272 + 0.5662i −0.0485 − 0.0258i0.5454 + 0.4174i 0.99560.0543 + 0.0090i 0.0543 − 0.0090i0.3125m_cb(:, :, 6) = Columns 1 through 2 0.37800.5247 − 0.3532i 0.5247 + 0.3532i0.3569 0.4115 + 0.1825i−0.4508 + 0.0797i 0.2639 + 0.4299i−0.4667 − 0.2128i Columns 3 through 4 0.4115 − 0.1825i0.2639 − 0.4299i −0.4508 − 0.0797i−0.4667 + 0.2128i 0.6742−0.3007 + 0.2070i −0.3007 − 0.2070i0.5910m_cb(:, :, 7) = Columns 1 through 2 0.37800.2058 + 0.1369i 0.2058 − 0.1369i0.9018 −0.5211 + 0.0833i0.1908 + 0.0871i 0.6136 − 0.3755i−0.2857 − 0.0108i Columns 3 through 4 −0.5211 − 0.0833i0.6136 + 0.3755i 0.1908 − 0.0871i−0.2857 + 0.0108i 0.55220.5644 + 0.2324i 0.5644 − 0.2324i0.1680m_cb(:, :, 8) = Columns 1 through 2 0.37800.0618 + 0.3332i 0.0618 − 0.3332i0.8154 −0.3456 + 0.5029i0.3037 + 0.1352i −0.5704 + 0.2113i0.1698 + 0.2845i Columns 3 through 4 −0.3456 − 0.5029i−0.5704 − 0.2113i 0.3037 − 0.1352i0.1698 − 0.2845i 0.4015−0.4877 + 0.3437i −0.4877 − 0.3437i0.4052For four transmit antennas, fourtransmission streams, and 6-bit feedbackinformation,m_cb(:, :, 1) = Columns 1 through 2 0.5000−0.0000 − 0.5000i −0.0000 − 0.5000i0.5000 −0.5000 − 0.0000i0.0000 − 0.5000i 0.0000 − 0.5000i0.5000 + 0.000i Columns 3 through 4 −0.5000 + 0.0000i0.0000 + 0.5000i 0.0000 + 0.5000i0.5000 − 0.0000i 0.50000 + 0.5000i 0 − 0.5000i0.5000m_cb(:, :, 2) = Columns 1 through 2 0.4529−0.0061 + 0.3221i −0.0061 − 0.3221i0.8103 0.5831 + 0.3664i0.2222 − 0.3391i 0.4656 + 0.0082i0.0100 − 0.2740i Columns 3 through 4 0.5831 − 0.3664i0.4656 − 0.0082i 0.2222 + 0.3391i0.0100 + 0.2740i 0.1332−0.5017 − 0.3031i −0.5017 + 0.3031i0.6036m_cb(:, :, 3) = Columns 1 through 2 0.4175−0.8206 + 0.0812i −0.8206 − 0.0812i−0.1674 −0.0467 − 0.1325i−0.0842 − 0.1801i −0.3040 + 0.1832i−0.4027 + 0.3005i Columns 3 through 4 −0.0467 + 0.1325i−0.3040 − 0.1832i 0.0842 + 0.1801i−0.4027 − 0.3005i 0.96610.0173 − 0.0838i 0.0173 + 0.0838i0.7837m_cb(:, :, 4) = Columns 1 through 2 0.5034−0.1137 − 0.3084i −0.1137 + 0.3084i0.7825 0.0057 + 0.0632i−0.0379 + 0.0180i −0.3257 − 0.7269i0.3768 − 0.3687i Columns 3 through 4 0.0057 − 0.0632i−0.3257 + 0.7269i −0.0379 − 0.0180i0.3768 + 0.3687i 0.99190.0963 + 0.0331i 0.0963 − 0.0331i−0.2778m_cb(:, :, 5) = Columns 1 through 2 0.52600.4579 − 0.1394i 0.4579 + 0.1394i0.5167 −0.1299 + 0.4665i−0.0116 − 0.4888i 0.1388 + 0.4904i−0.2782 − 0.4329i Columns 3 through 4 −0.1299 − 0.4665i0.1388 − 0.4904i −0.0116 + 0.4888i−0.2782 + 0.4329i 0.5053−0.4446 − 0.2710i −0.4446 + 0.2710i0.4520m_cb(:, :, 6) = Columns 1 through 2 0.1673−0.8917 + 0.2667i −0.8917 − 0.2667i−0.0403 0.1500 + 0.2390i0.2371 + 0.2079i 0.1110 + 0.1176i0.1565 + 0.0904i Columns 3 through 4 0.1500 − 0.2390i0.1110 − 0.1176i 0.2371 − 0.2079i0.1565 − 0.0904i 0.9044−0.0537 − 0.0107i −0.0537 + 0.0107i0.9686m_cb(:, :, 7) = Columns 1 through 2 0.2104−0.1631 + 0.1634i −0.1631 − 0.1634i0.9325 0.2091 + 0.3930i0.1245 + 0.0379i −0.1900 − 0.8174i−0.2084 − 0.1295i Columns 3 through 4 0.2091 − 0.3930i−0.1900 + 0.8174i 0.1245 − 0.0379i−0.2084 + 0.1295i 0.74900.4572 − 0.1219i 0.4572 + 0.1219i0.108im_cb(:, :, 8) = Columns 1 through 2 0.75640.2752 − 0.4443i 0.2752 + 0.4443i−0.1213 0.1752 + 0.1139i−0.4056 + 0.1908i −0.0804 + 0.3234i−0.4991 − 0.5120i Columns 3 through 4 0.1752 − 0.1139i−0.0804 − 0.3234i −0.4056 − 0.1908i−0.4991 + 0.5120i 0.8208−0.0934 + 0.2701i −0.0934 − 0.2701i0.5441m_cb(:, :, 9) = Columns 1 through 2 0.32100.2486 + 0.6005i −0.2486 − 0.6005i0.3779 −0.4694 − 0.0852i0.0965 + 0.4464i −0.2080 + 0.4513i0.4753 + 0.0187i Columns 3 through 4 −0.4694 + 0.0852i−0.2080 − 0.4513i 0.0965 − 0.4464i0.4753 − 0.0187i 0.6648−0.0871 − 0.3381i −0.0871 + 0.3381i0.6364m_cb(:, :, 10) = Columns 1 through 2 0.34360.4402 − 0.0658i 0.4402 + 0.0658i0.6982 −0.5670 − 0.0322i0.3834 − 0.0353i 0.5583 − 0.2228i−0.3520 + 0.2054i Columns 3 through 4 −0.5670 + 0.0322i0.5583 + 0.2228i 0.3834 + 0.0353i−0.3520 − 0.2054i 0.50860.4713 + 0.2198i 0.4713 − 0.2198i0.4496m_cb(:, :, 11) = Columns 1 through 2 0.60390.0822 − 0.3279i 0.0822 + 0.3279i0.7114 0.7147 + 0.0599i−0.1980 + 0.5793i −0.0624 + 0.0513i−0.0295 − 0.0623i Columns 3 through 4 0.7147 − 0.0599i−0.0624 − 0.0513i −0.1980 − 0.5793i−0.0295 + 0.0623i −0.29890.1049 + 0.1019i 0.1049 − 0.1019i0.9835m_cb(:, :, 12) = Columns 1 through 2 0.6378−0.1355 + 0.2827i −0.1355 − 0.2827i0.7287 −0.2835 − 0.3188i−0.3549 + 0.1020i −0.1532 + 0.5380i0.3626 + 0.3208i Columns 3 through 4 −0.2835 + 0.3188i−0.1532 − 0.5380i −0.3549 − 0.1020i0.3626 − 0.3208i 0.49750.3537 − 0.5559i 0.3537 + 0.5559i0.1360m_cb(:, :, 13) = Columns 1 through 2 0.63840.3739 − 0.1332i 0.3739 + 0.1332i0.5644 −0.3179 − 0.3015i0.4397 + 0.1947i 0.1651 − 0.4645i0.0004 + 0.5410i Columns 3 through 4 −0.3179 + 0.3015i0.1651 + 0.4645i 0.4397 − 0.1947i0.0004 − 0.5410i 0.4692−0.2422 + 0.5459i −0.2422 − 0.5459i0.3280m_cb(:, :, 14) = Columns 1 through 2 0.19820.0906 − 0.0725i 0.0906 + 0.0725i0.9832 0.5721 + 0.7826i−0.1351 − 0.0366i 0.0910 + 0.0031i−0.0105 + 0.0079i Columns 3 through 4 0.5721 − 0.7826i0.0910 − 0.0031i −0.1351 + 0.0366i−0.0105 − 0.0079i −0.1691−0.0678 − 0.0864i −0.0678 + 0.0864i0.9897m_cb(:, :, 15) = Columns 1 through 2 0.6758−0.5192 + 0.0784i −0.5192 − 0.0784i0.1496 0.1092 − 0.3313i0.0948 − 0.5569i 0.1450 + 0.3534i0.3176 + 0.5310i Columns 3 through 4 0.1092 + 0.3313i0.1450 − 0.3534i 0.0948 + 0.5569i0.3176 − 0.5310i 0.62470.3123 + 0.2672i 0.3123 − 0.2672i0.5499m_cb(:, :, 16) = Columns 1 through 2 0.62640.1144 + 0.1440i 0.1144 − 0.1440i0.9095 0.0745 − 0.3217i−0.1468 + 0.0698i −0.2057 − 0.6499i−0.1875 + 0.2784i Columns 3 through 4 0.0745 + 0.3217i−0.2057 + 0.6499i −0.1468 − 0.0698i−0.1875 − 0.2784i 0.7080−0.5186 − 0.3069i −0.5186 + 0.3069i−0.2439m_cb(:, :, 17) = Columns 1 through 2 0.4732−0.0351 − 0.4319i −0.0351 + 0.4319i0.6436 −0.6207 + 0.4209i−0.3864 − 0.4809i −0.1480 + 0.0626i−0.0612 − 0.1172i Columns 3 through 4 −0.6207 − 0.4209i−0.1480 − 0.0626i −0.3864 + 0.4809i−0.0612 + 0.1172i −0.0678−0.2245 + 0.0445i −0.2245 − 0.0445i0.9509m_cb(:, :, 18) = Columns 1 through 2 0.4043−0.5936 + 0.1741i −0.5936 − 0.1741i0.3575 0.4291 − 0.0666i0.4082 − 0.1918i 0.5012 + 0.1184i0.5341 − 0.0285i Columns 3 through 4 0.4291 + 0.0666i0.5012 − 0.1184i 0.4082 + 0.1918i0.5341 + 0.0285i 0.6834−0.3478 + 0.1413i −0.3478 − 0.1413i0.5548m_cb(:, :, 19) = Columns 1 through 2 0.3300−0.1038 + 0.5703i −0.1038 − 0.5703i0.4984 0.3323 − 0.0915i−0.0264 − 0.2970i −0.2763 − 0.5999i−0.5535 + 0.1423i Columns 3 through 4 0.3323 + 0.0915i−0.2763 + 0.5999i −0.0264 + 0.2970i−0.5535 − 0.1423i 0.82270.0551 − 0.3353i 0.0551 + 0.3353i0.3489m_cb(:, :, 20) = Columns 1 through 2 0.6803−0.2432 − 0.5431i −0.2432 + 0.5431i−0.1076 −0.1270 + 0.2543i−0.5287 − 0.0222i −0.2626 − 0.1825i0.1102 − 0.5849i Columns 3 through 4 −0.1270 − 0.2543i−0.2626 + 0.1825i −0.5287 + 0.0222i0.1102 + 0.5849i 0.74720.0408 + 0.2814i 0.0408 − 0.2814i0.6801m_cb(:, :, 21) = Columns 1 through 2 0.27510.1655 + 0.3560i 0.1655 − 0.3560i0.7873 −0.0849 + 0.3618i0.1971 − 0.0409i 0.2054 + 0.7680i0.3303 − 0.2763i Columns 3 through 4 −0.0849 − 0.3618i0.2054 − 0.7680i 0.1971 + 0.0409i0.3303 + 0.2763i 0.8095−0.3592 − 0.1925i −0.3592 + 0.1925i0.1281m_cb(:, :, 22) = Columns 1 through 2 0.20180.8742 + 0.1496i 0.8742 − 0.1496i0.0145 −0.1556 + 0.1843i0.2049 + 0.1727i 0.2607 − 0.2157i−3260 + 0.1874i Column 3 through 4 −0.1556 − 0.1843i0.2607 + 0.2157i 0.2049 + 0.1727i−3260 − 0.1874i 0.92710.1006 − 0.0182i 0.1006 + 0.0182i0.8565m_cb(:, :, 23) = Columns 1 through 2 0.4851−0.4030 − 0.2771i −4030 + 0.2771i0.5354 0.3315 + 0.4502i0.0172 + 0.5307i −0.1668 − 0.4303i0.1009 − 0.4266i Columns 3 through 4 0.3315 − 0.4502i−0.1668 + 0.4303i 0.0172 − 0.5307i0.1009 + 0.4266i 0.39310.4836 − 0.1311i 0.4836 + 0.1311i0.5864m_cb(:, :, 24) = Columns 1 through 2 0.58100.1119 − 0.1280i 0.1119 + 0.1280i0.9310 −0.0461 − 0.0235i0.0195 − 0.0078i −0.0396 + 0.7933i−0.2318 − 0.2239i Columns 3 through 4 −0.0461 + 0.0235i−0.0396 − 0.7933i 0.0195 + 0.0078i−0.2318 + 0.2239i 0.99360.0402 − 0.0895i 0.0402 + 0.0895i−0.5056m_cb(:, :, 25) = Columns 1 through 2 0.46980.8120 − 0.0534i 0.8120 + 0.0534i−0.2488 −0.0709 − 0.2272i0.1314 + 0.3409i −0.1534 − 0.1923i0.2543 + 0.2790i Columns 3 through 4 −0.0709 + 0.2272i−0.1534 + 0.1923i 0.1314 − 0.3409i0.2543 − 0.290i 0.8931−0.1029 − 0.0401i −0.1029 + 0.0401i0.8859m_cb(:, :, 26) = Columns 1 through 2 0.3376− 0.0556 + 0.2153i −0.0556 − 0.2153i0.9254 −0.5304 + 0.6183i0.1564 + 0.2243i 0.3649 − 0.1993i−0.0341 − 0.1353i Columns 3 through 4 −0.5304 − 0.6183i0.3649 + 0.1993i 0.1564 − 0.2243i−0.0341 + 0.1353i −0.00200.4782 − 0.1811i 0.4782 + 0.1811i0.7390m_cb(:, :, 27) = Columns 1 through 2 0.6258−0.1124 − 0.3086i −0.1124 + 0.3086i0.7117 0.4072 − 0.2116i0.2968 + 0.2723i 0.1763 + 0.5087i−0.3667 + 0.2982i Columns 3 through 4 0.4072 + 0.2116i0.1763 − 0.5087i 0.2968 − 0.2723i−0.3667 − 0.2982i 0.43720.0959 + 0.6533i 0.0959 − 0.6533i0.2253m_cb(:, :, 28) = Columns 1 through 2 0.52550.3939 + 0.2804i 0.3939 − 0.2804i0.5072 0.1818 − 0.4618i−0.4238 + 0.2760i −0.4844 − 0.0951i0.3459 + 0.3653i Columns 3 through 4 0.1818 + 0.4618i−0.4844 + 0.0951i −0.4238 − 0.2760i0.3459 − 0.3653i 0.48090.0929 − 0.5079i 0.0929 + 0.5079i0.4864m_cb(:, :, 29) = Columns 1 through 2 0.73390.0575 − 0.0818i 0.0575 + 0.0818i0.9624 −0.6296 + 0.0292i0.1270 − 0.2000i 0.2104 − 0.0990i−0.0150 + 0.0861i Columns 3 through 4 −6296 − 0.0292i0.2104 + 0.0990i 0.1270 + 0.2000i−0.0150 − 0.0861i −0.49300.5088 + 0.2112i 0.5088 − 0.2112i0.7967m_cb(:, :, 30) = Columns 1 through 2 0.3226−0.1524 − 0.1960i −0.1524 + 0.1960i0.9090 0.7728 − 0.1448i0.2157 + 0.1910i 0.4423 + 0.1430i0.0581 + 0.1602i Columns 3 through 4 0.7728 + 0.1448i0.4423 − 0.1430i 0.2157 − 0.1910i0.0581 − 0.1602i 0.0874−0.4741 + 0.2577i −0.4741 − 0.2577i0.6809m_cb(:, :, 31) = Columns 1 through 2 0.3597−0.2781 + 0.4906i −0.2781 − 0.4906i0.5033 0.2755 − 0.5384i−0.2929 − 0.4449i −0.3833 + 0.1998i−0.0133 + 0.8305i Columns 3 through 4 0.2755 + 0.5384i−0.3833 − 0.1998i −0.2929 + 0.4449i−0.0133 − 0.3805i 0.42870.3329 − 0.2363i 0.3329 + 0.2363i0.7082m_cb(:, :, 32) = Columns 1 through 2 0.8936−0.1516 − 0.1154i −0.1516 + 0.1154i0.6587 −0.1195 − 0.0935i−0.0688 − 0.2628i 0.0609 − 0.3721i0.4904 − 0.4642i Columns 3 through 4 −0.1195 + 0.0935i0.0609 + 0.3721i −0.0688 + 0.2628i0.4904 + 0.4642i 0.7837−0.2586 + 0.4713i −0.2586 − 0.4713i−0.3360m_cb(:, :, 33) = Columns 1 through 2 0.1758−0.0345 − 0.1074i −0.0345 + 0.1074i0.9846 −0.5181 + 0.5298i−0.0907 − 0.0453i −0.3811 + 0.5118i−0.0826 − 0.0282i Columns 3 through 4 −0.5181 − 0.5298i−0.3811 − 0.5118i −0.0907 + 0.0453i−0.0826 + 0.0282i 0.3337−0.5686 − 0.0768i −0.5686 + 0.0768i0.5059m_cb(:, :, 34) = Columns 1 through 2 0.1191−0.8248 − 0.1153i −0.8248 + 0.1153i0.2125 −0.0024 − 0.4536i0.0571 − 0.4251i 0.2507 + 0.1533i0.2147 + 0.1764i Columns 3 through 4 −0.0024 + 0.4536i0.2507 − 0.1533i 0.0571 + 0.4251i0.2147 − 0.1764i 0.76640.0796 + 0.1287i 0.0796 − 0.1287i0.9020m_cb(:, :, 35) = Columns 1 through 2 0.6621−0.2525 + 0.2046i −0.2525 − 0.2046i0.6874 0.3214 + 0.1313i0.3197 − 0.0965i 0.1375 − 0.5626i−0.2378 − 0.5037i Columns 3 through 4 0.3214 − 0.1313i0.1375 + 0.5626i 0.3197 + 0.0965i−0.2378 + 0.5037i 0.64320.0878 − 0.5887i 0.0878 + 0.5887i0.0073m_cb(:, :, 36) = Columns 1 through 2 0.5015−0.2862 − 0.4416i −0.2862 + 0.4416i0.4445 −0.2458 + 0.2365i−0.3506 − 0.0820i −0.4113 + 0.4314i−0.6182 − 0.1167i Columns 3 through 4 −0.2458 − 0.2365i−0.4113 − 0.4314i −0.3508 + 0.0820i−0.6182 + 0.1167i 0.7666−0.4074 − 0.0175i −0.4074 + 0.0175i0.2875m_cb(:, :, 37) = Columns 1 through 2 0.16140.5947 − 0.4582i 0.5947 + 0.4582i0.3279 −0.1229 − 0.0033i0.0889 − 0.0648i −0.5490 − 0.3063i0.5567 − 0.0827i Columns 3 through 4 −0.1229 + 0.0033i−0.5490 + 0.3063i 0.0889 + 0.0648i0.5567 + 0.0827i 0.9820−0.0816 + 0.0428i −0.0816 − 0.0428i0.5287m_cb(:, :, 38) = Columns 1 through 2 0.45250.3385 + 0.4039i 0.3385 − 0.4039i0.4927 −0.0662 + 0.4865i0.3998 − 0.2520i 0.4930 − 0.1826i−0.4396 − 0.2508i Columns 3 through 4 −0.0662 − 0.4865i0.4930 + 0.1826i 0.3998 + 0.2520i−0.4396 + 0.2508i 0.55970.2218 − 0.4160i 0.2218 + 0.4160i0.4951m_cb(:, :, 39) = Columns 1 through 2 0.4800−0.4788 − 0.5464i −0.4788 + 0.5464i−0.0151 0.3125 + 0.2377i0.0380 + 0.5473i −0.2037 + 0.2147i−0.4132 − 0.0163i Column 3 through 4 0.3125 − 0.2377i−0.2037 − 0.2147i 0.0380 − 0.5473i−0.4132 + 0.0163i 0.70350.0242 + 0.2222i 0.0242 − 0.2222i0.8315m_cb(:, :, 40) = Columns 1 through 2 0.28190.3244 + 0.0826i 0.3244 − 0.0826i0.8440 0.1090 − 0.2542i−0.0784 + 0.1023i −0.7259 + 0.4528i0.3800 − 0.1211i Columns 3 through 4 0.1090 + 0.2542i−0.7259 − 0.4528i −0.0784 − 0.1023i0.3800 + 0.1211i 0.89350.2705 − 0.1883i 0.2705 + 0.1883i−0.0194m_cb(:, :, 41) = Columns 1 through 2 0.74110.5742 − 0.0764i 0.5742 + 0.0764i−0.2959 −0.2356 + 0.0500i0.5077 − 0.1803i 0.2346 + 0.0474i−0.5342 − 0.0359i Columns 3 through 4 −0.2356 − 0.0500i0.2346 − 0.0474i 0.5077 + 0.1803i−0.5342 + 0.0359i 0.77600.2043 − 0.0884i 0.2043 + 0.0884i0.7788m_cb(:, :, 42) = Columns 1 through 2 0.1668−0.5822 − 0.0360i −0.5822 + 0.0360i0.5917 0.2189 + 0.7604i0.1200 + 0.5408i 0.0602 + 0.0463i0.0401 + 0.0349i Columns 3 through 4 0.2189 − 0.7604i0.0602 − 0.0463i 0.1200 − 0.5408i0.0401 − 0.0349i 0.2485−0.0581 − 0.0428i −0.0581 + 0.0428i0.9931m_cb(:, :, 43) = Columns 1 through 2 0.3285−0.1895 − 0.0198i −0.1895 + 0.0198i0.9459 0.1261 − 0.5181i0.0509 − 0.1425i 0.0010 + 0.7559i−0.0220 + 0.2134i Columns 3 through 4 0.1281 + 0.5181i0.0010 − 0.7559i 0.0509 + 0.1425i−0.0220 − 0.2134i 0.57660.5830 + 0.1428i 0.5830 − 0.1428i0.1489m_cb(:, :, 44) = Columns 1 through 2 0.86120.3610 − 0.0871i 0.3610 + 0.0871i0.0062 0.2273 − 0.2023i−0.4642 + 0.6690i −0.0091 − 0.1665i0.1281 + 0.4273i Columns 3 through 4 0.2273 + 0.2023i−0.0091 + 0.1665i −0.4642 − 0.6690i0.1281 − 0.4273i 0.3328−0.2278 − 0.2858i −0.2278 + 0.2858i0.7998m_cb(:, :, 45) = Columns 1 through 2 0.4721−0.1615 + 0.2107i −0.1615 − 0.2107i0.8665 −0.7948 + 0.1069i−0.2005 + 0.3500i − 0.1053 + 0.2288i0.0591 + 0.1120i Columns 3 through 4 −0.7948 − 0.1069i−0.1053 − 0.2288i −0.2005 − 0.3500i0.0591 − 0.1120i −0.2185−0.2048 − 0.3231i −0.2048 + 0.3231i0.8799m_cb(:, :, 46) = Columns 1 through 2 0.3065−0.2240 − 0.3579i −0.2240 + 0.3579i0.7430 −0.0063 − 0.6069i0.3111 − 0.1993i 0.5974 + 0.0506i0.1669 + 0.3246i Columns 3 through 4 −0.0063 + 0.6069i0.5974 − 0.0506i 0.3111 + 0.1993i0.1669 − 0.3246i 0.46880.0497 + 0.5223i 0.0497 − 0.5223i0.4817m_cb(:, :, 47) = Columns 1 through 2 0.59490.1557 + 0.2349i 0.1557 − 0.2349i0.8039 0.6701 − 0.1265i−0.3310 − 0.3400i −0.0562 − 0.3138i−0.1604 + 0.1532i Columns 3 through 4 0.6701 + 0.1265i−0.0562 + 0.3138i −0.3310 + 0.3400i−0.1604 − 0.1532i −0.1480−0.0051 − 0.5366i −0.0051 + 0.5366i0.7492m_cb(:, :, 48) = Columns 1 through 2 0.7806−0.4452 − 0.0626i −0.4452 + 0.0626i0.0787 −0.4040 − 0.0514i−0.8051 − 0.2194i −0.1043 + 0.1088i−0.2426 + 0.1911i Columns 3 through 4 −0.4040 + 0.0514i−0.1043 − 0.1088i −0.8051 + 0.2194i−0.2426 − 0.1911i 0.2443−0.1664 − 0.2248i −0.1664 + 0.2248i0.8965m_cb(:, :, 49) = Columns 1 through 2 0.23870.0441 − 0.2702i 0.0441 + 0.2702i0.9015 −0.1984 − 0.4442i0.1692 − 0.0447i 0.0127 − 0.7945i0.2813 + 0.0505i Columns 3 through 4 −0.1984 + 0.442i0.0127 + 0.7945i 0.1692 + 0.0447i0.2813 − 0.0505i 0.6891−0.4602 + 0.2145i −0.4602 − 0.2145i0.1707m_cb(:, :, 50) = Columns 1 through 2 0.23620.5885 + 0.2614i 0.5885 − 0.2614i0.4571 0.3821 + 0.5878i−0.0933 − 0.5837i 0.1612 − 0.1097i−0.1618 + 0.0293i Columns 3 through 4 0.3821 − 0.5878i0.1612 + 0.1097i −0.0933 + 0.5837i−0.1618 − 0.0293i 0.35650.0037 − 0.1789i 0.0037 + 0.1789i0.9502m_cb(:, :, 51) = Columns 1 through 2 0.7098−0.6700 − 0.0265i −0.6700 + 0.0265i−0.5490 0.1179 + 0.0871i0.2642 + 0.2119i 0.0780 − 0.1381i0.1926 − 0.3117i Columns 3 through 4 0.1179 − 0.0871i0.0780 + 0.1381i 0.2642 − 0.2119i0.1926 + 0.3117i 0.92590.0098 − 0.0795i 0.0098 + 0.0795i0.9133m_cb(:, :, 52) = Columns 1 through 2 0.2052−0.1721 − 0.0352i −0.1721 + 0.0352i0.9612 −0.1656 − 0.1102i−0.0310 − 0.0312i −0.9338 − 0.1244i−0.1967 − 0.0683i Columns 3 through 4 −0.1656 + 0.1102i−0.9338 + 0.1244i −0.0310 + 0.0312i−0.1967 + 0.0683i 0.9502−0.2118 − 0.1035i −0.2118 + 0.1035i−0.1165m_cb(:, :, 53) = Columns 1 through 2 0.47650.6113 − 0.5146i 0.6113 + 0.5146i−0.2196 −0.1360 + 0.3050i−0.1410 − 0.4898i −0.1514 − 0.0058i0.1824 − 0.1420i Columns 3 through 4 −0.1360 − 0.3050i−0.1514 + 0.0058i −0.1410 + 0.4898i0.1824 + 0.1420i 0.7870−0.0359 + 0.0897i −0.0359 − 0.0897i0.9562m_cb(:, :, 54) = Columns 1 through 2 0.4381−0.3936 + 0.4501i −0.3936 − 0.4501i0.3638 0.0606 + 0.5087i0.4500 + 0.3078i 0.4314 − 0.0443i0.2667 − 0.3766i Columns 3 through 4 0.0606 − 0.5087i0.4314 + 0.0443i 0.4500 − 0.3078i0.2687 + 0.3766i 0.5328−0.0064 − 0.3954i −0.0064 + 0.3954i0.6652m_cb(:, :, 55) = Columns 1 through 2 0.1984−0.3459 − 0.4714i −0.3459 + 0.4714i0.5735 0.1674 − 0.1088i0.1362 + 0.0515i −0.2883 + 0.7049i−0.5381 + 0.1358i Columns 3 through 4 0.1674 + 0.1088i−0.2863 − 0.7049i 0.1362 − 0.0515i−0.5381 − 0.1358i 0.95030.1554 + 0.1083i 0.1554 − 0.1083i0.2779m_cb(:, :, 56) = Columns 1 through 2 0.56040.4187 − 0.4255i 0.4187 + 0.4255i0.1895 0.3390 + 0.0502i−0.3715 + 0.2803i −0.4327 − 0.1581i0.5651 − 0.2682i Columns 3 through 4 0.3390 − 0.0502i−0.4327 + 0.1581i −0.3715 − 0.2803i0.5651 + 0.2682i 0.73280.3517 − 0.0725i 0.3517 + 0.0725i0.5173m_cb(:, :, 57) = Columns 1 through 2 0.65690.1886 + 0.2454i 0.1886 − 0.2454i0.7208 −0.4445 + 0.1772i0.3711 + 0.2206i 0.2727 + 0.4115i0.1445 − 0.4213i Columns 3 through 4 −0.4445 − 0.1772i0.2727 − 0.4115i 0.3711 − 0.2206i0.1445 + 0.4213i 0.33260.1407 − 0.6740i 0.1407 + 0.6740i0.2897m_cb(:, :, 58) = Columns 1 through 2 0.17850.4085 − 0.5675i 0.4085 + 0.5675i0.4049 0.1164 − 0.5210i0.3021 + 0.3395i 0.4406 − 0.0086i−0.2132 + 0.3087i Columns 3 through 4 0.1164 + 0.5210i0.4406 + 0.0086i 0.3021 − 0.3395i−0.2132 − 0.3087i 0.6531−0.0679 + 0.2782i −0.0679 − 0.2782i0.7636m_cb(:, :, 59) = Columns 1 through 2 0.28460.2028 − 0.0401i 0.2028 + 0.0401i0.9403 0.7669 − 0.0056i−0.2171 + 0.0446i −0.5189 − 0.1373i0.1548 + 0.0098i Columns 3 through 4 0.7669 + 0.0056i−0.5189 + 0.1373i −0.2171 − 0.0446i0.1548 − 0.0098i 0.17790.5552 − 0.1512i 0.5552 + 0.1512i0.5973m_cb(:, :, 60) = Columns 1 through 2 0.93400.0187 − 0.0451i 0.0187 + 0.0451i0.9639 −0.0862 − 0.1445i0.1231 − 0.0179i 0.1596 + 0.2674i−0.2279 + 0.0330i Columns 3 through 4 −0.0862 + 0.1445i0.1596 − 0.2674i 0.1231 + 0.0179i−0.2279 − 0.0330i 0.57130.7936 − 0.0001i 0.7936 + 0.0001i−0.4691m_cb(:, :, 61) = Columns 1 through 2 0.30300.3968 + 0.2460i 0.3968 − 0.2460i0.6872 −0.3832 − 0.5395i0.0278 + 0.4424i −0.3259 − 0.3822i0.0507 + 0.3326i Columns 3 through 4 −0.3832 + 0.5395i−0.3259 + 0.3822i 0.0278 − 0.4424i0.0507 − 0.3326i 0.3717−0.4750 − 0.0421i −0.4750 + 0.0421i0.6380m_cb(:, :, 62) = Columns 1 through 2 0.1683−0.0101 − 0.3605i −0.0101 + 0.3605i0.8436 −0.8263 + 0.0847i−0.0468 − 0.3571i 0.3460 − 0.1786i0.0816 + 0.1478i Columns 3 through 4 −0.8263 − 0.0847i0.3460 + 0.1786i −0.0468 + 0.3571i0.0816 − 0.1478i 0.17040.3620 + 0.1422i 0.3620 − 0.1422i0.8177m_cb(:, :, 63) = Columns 1 through 2 0.8254−0.1917 + 0.0197i −0.1917 − 0.0197i0.7874 0.4523 − 0.1278i0.4821 − 0.1912i 0.2452 − 0.0239i0.2665 − 0.0538i Columns 3 through 4 0.4523 + 0.1278i0.2452 + 0.0239i 0.4821 + 0.1912i0.2665 + 0.0538i −0.2651−0.6527 + 0.1176i −0.6527 − 0.1176i0.6524m_cb(:, :, 64) = Columns 1 through 2 0.4508−0.3114 + 0.3205i −0.3114 − 0.3205i0.6364 −0.3590 − 0.3506i−0.4082 + 0.0107i −0.5871 + 0.0230i−0.3195 + 0.3557i Columns 3 through 4 −0.3590 + 0.3506i−0.5871 − 0.0230i −0.4082 − 0.0107i−0.3195 − 0.3557i 0.5414−0.3692 − 0.3899i −0.3692 + 0.3899i0.3714

The new codebook created by multiplying the above codebook by the phase rotation matrices R will now be described. For one transmission stream and 3-bit feedback information, the new codebook is given as follows according to the number of transmit antennas. For two or four transmit antennas, the phase rotation matrix R is the Hadamard matrix, Vandermonde matrix or FFT matrix. For three transmit antennas, the Vandermonde matrix and the FFT matrix are available as the phase rotation matrix R.

Indexw1w2w3w4w5w6w7w8Antenna 10.07071 −0.1513 +0.6022 +0.3510 −0.9885 +0.7003 + 0.4766i 0.6976 − 0.5063i−0.3882 − 0.2461i0.0000i0.1285i0.4279i0.3746i0.0487iAntenna 2−0.7071 −−0.9716 +−0.5208 +−0.7721 −−0.1346 +0.2351 + 0.4766i−0.0253 − 0.5063i−0.8533 − 0.2461i0.0000i0.1285i0.4279i0.3746i0.0487i

Indexw1w2w3w4w5w6w7w8Antenna0.70710.1805 −0.2877 + j0.33130.6775 − j0.41380.8290 + j0.33630.2263 + j0.6677 0.9572 − j0.1203−0.0323 − j0.61301j0.1991Antenna0.70710.9424 +0.8353 − j0.33130.4455 + j0.41380.2941 − j0.33630.2389 − j0.6677−0.2342 + j0.1203 0.4975 + j0.61302j0.1991

Indexw1w2w3w4w5w6w7w8Antenna 10.5774 0.3509 − 0.4444 +−0.3981 + j0.01990.2240 + j0.28320.2389 + j0.52130.1397 0.9754 − j0.0304j0.2815j0.3855j0.3867Antenna 20.5774 0.6687 +0.6334 0.7689 − j0.0569−0.0844 − j0.5255 0.2079 + j0.1413−0.0633 + j0.4470−0.1892 + j0.0655j0.5198j0.4512Antenna 30.5774−0.1535 −−0.2118 + 0.4953 + j0.03700.7264 + j0.24230.4111 − j0.6625 0.7897 − j0.0603 0.0799 − j0.0351j0.2383j0.0657

Indexw1w2w3w4w5w6w7w8Antenna 10.5000 − 0.4313 −−0.2151 + 0.2255 −−0.0075 + 0.0653i 0.7890 + 0.4828i 0.3381 − 0.2145i−0.2381 + 0.1905i0.0000i0.3250i0.2376i0.4355iAntenna 20.5000 + 0.5424 + 0.3581 − 0.2226 − 0.4039 − 0.0163i 0.0004 − 0.3003i−0.4813 + 0.2979i 0.2705 + 0.3124i0.0000i0.4829i0.3843i0.3906iAntenna 30.5000 −−0.3231 −−0.1172 − 0.4355 + 0.3013 + 0.5825i 0.1137 − 0.1296i 0.2457 + 0.0776i 0.6779 − 0.5237i0.0000i0.2417i0.1050i0.3415iAntenna 40.5000 + 0.1054 + 0.7302 +−0.1277 + 0.0582 − 0.6315i−0.1472 − 0.0529i 0.6534 − 0.1610i 0.0457 + 0.0208i0.0000i0.0839i0.2517i0.4846i

FIG. 3 is a graph illustrating the CCDF of the PAPRs of antennas for the use of the conventional codebook and the use of the codebook according to an exemplary embodiment of the present invention. As noted from FIG. 3, the PAPR is not changed irrespective of which codebook is used. In other words, no codebook influences the PAPR.

FIG. 4 is a graph comparing the conventional codebook, wo (without) R with the codebook according to an exemplary embodiment of the present invention, w (with) R in terms of link performance. Referring to FIG. 4, it is observed that since chordal distance is not changed in both wo R and w R, the same performance is achieved with w R as with wo R.

The simulation of FIGS. 3 and 4 was performed under the environment of the band Adaptive Modulation and Coding (AMC) subchannel defined in IEEE 802.16e, an LDPC code with R=½, and Red A 3 km/h.

As described above, certain exemplary embodiments of the present invention can avoid power imbalance between antennas caused by the use of the conventional codebook in a closed-loop MIMO system using a codebook. Furthermore, owing to the use of, for example, a simple phase rotation matrix (e.g. Hadamard or Vandermonde), the power imbalance and peak power problems are addressed without complexity.

While certain aspects of the present invention have been shown and described with reference to certain exemplary embodiments thereof, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims and equivalents thereof.

Number	Date	Country	Kind
2005-0019851	Mar 2005	KR	national
2005-0021163	Mar 2005	KR	national
2005-0035675	Apr 2005	KR	national
2005-0037174	May 2005	KR	national

Transmitting/receiving apparatus and method in a closed-loop MIMO system

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