I. Field
The present disclosure relates generally to communication, and more specifically to techniques for performing phase correction for wireless communication.
II. Background
In a wireless communication system, a transmitter typically processes (e.g., encodes and modulates) traffic data to generate data symbols. For a coherent system, the transmitter multiplexes pilot symbols with the data symbols, processes the multiplexed data and pilot symbols to generate a radio frequency (RF) signal, and transmits the RF signal via a wireless channel. The wireless channel distorts the transmitted RF signal with a channel response and further degrades the signal with noise and interference.
A receiver receives the transmitted RF signal and processes the received RF signal to obtain samples. For coherent detection, the receiver estimates the response of the wireless channel based upon the received pilot and derives a channel estimate. The receiver then performs detection with the channel estimate to obtain estimated data symbols, which are estimates of the data symbols sent by the transmitter. The receiver then processes (e.g., demodulates and decodes) the estimated data symbols to obtain decoded data.
The receiver typically estimates frequency error at the receiver. This frequency error may be due to difference in oscillator frequencies at the transmitter and receiver, Doppler shift, and so on. The receiver may remove the frequency error from the samples and then perform detection on the frequency corrected samples. However, there is typically residual error in the frequency error estimate. This residual error results in phase error in the frequency corrected samples, and the phase error may degrade performance.
There is therefore a need in the art for techniques to perform phase correction for wireless communication.
Techniques for performing phase correction for wireless communication are described herein. In an aspect, received pilot symbols and received data symbols are obtained from an orthogonal frequency division multiplexing (OFDM) and/or multiple-input multiple-output (MIMO) transmission. First phase information is obtained based upon the received pilot symbols. Second phase information is obtained based upon the received data symbols. The first and second phase information may be obtained in various manners and represented in various forms. The phase of the received data symbols is corrected based upon the first and second phase information. The phase correction may use the first and second phase information directly and/or indirectly and may be performed in one or more steps.
To obtain the first phase information, the phase of the received pilot symbols may be corrected by an initial phase error, which may be the phase error for a prior symbol period, zero, or some other value. Detection may be performed on the phase corrected pilot symbols to obtain estimated pilot symbols. Dot products of the estimated pilot symbols and known pilot symbols may be computed, weighted by signal-to-noise ratio (SNR) estimates for different subcarriers and/or streams, and combined to obtain the first phase information. To obtain the second phase information, the phase of the received data symbols may be corrected by the first phase information. Detection may be performed on the phase corrected data symbols to obtain estimated data symbols. Hard decisions may be obtained for the estimated data symbols. Dot products of the estimated data symbols and the hard decisions may be computed, weighted by scaling factors that may be dependent on SNR and/or other factors, and combined to obtain the second phase information. The first and second phase information may also be obtained in other manners.
The phase correction may be performed in various manners. In one scheme, the phase of the received pilot symbols is corrected (e.g., based upon the second phase information from a prior symbol period), the first phase information is obtained based upon the phase corrected pilot symbols, and the phase of the received data symbols is corrected based upon the first phase information. In another scheme, the phase of the received data symbols is corrected based upon the first phase information, detection is performed on the phase corrected data symbols to obtain estimated data symbols, the second phase information is obtained based upon the estimated data symbols, and the phase of the estimated data symbols is corrected based upon the second phase information. In yet another scheme, the first and second phase information is combined to obtain combined phase information, and the phase of the received data symbols is corrected based upon the combined phase information. The phase correction may also be performed in other manners.
Various aspects and features of the disclosure are described in further detail below.
The phase correction techniques described herein may be used for various communication networks such as wireless wide area networks (WWANs), wireless metropolitan area networks (WMANs), wireless local area networks (WLANs), and wireless personal area networks (WPANs). The terms “networks” and “systems” are often used interchangeably. These wireless networks may use Code Division Multiple Access (CDMA), Frequency Division Multiple Access (FDMA), Time Division Multiple Access (TDMA), Spatial Division Multiple Access (SDMA), Orthogonal FDMA (OFDMA), Single-Carrier FDMA (SC-FDMA), and/or some other multiple access schemes. OFDMA utilizes OFDM. SC-FDMA utilizes single-carrier frequency division multiplexing (SC-FDM). OFDM and SC-FDM partition the system bandwidth into multiple (K) orthogonal subcarriers, which are also referred to as tones, bins, and so on. Each subcarrier may be modulated with data. In general, modulation symbols are sent in the frequency domain with OFDM and in the time domain with SC-FDM. For clarity, the techniques are described for an OFDM-based system that utilizes OFDM.
The techniques may also be used for single-input single-output (SISO), single-input multiple-output (SIMO), multiple-input single-output (MISO), and multiple-input multiple-output (MIMO) transmissions. Single-input refers to one transmit antenna and multiple-input refers to multiple transmit antennas for data transmission. Single-output refers to one receive antenna and multiple-output refers to multiple receive antennas for data reception. The techniques may also be used for various modulation schemes such as M-ary phase shift keying (M-PSK) and M-ary quadrature amplitude modulation (M-QAM).
At transmitter 110, a transmit (TX) data and pilot processor 112 processes (e.g., encodes, interleaves, and symbol maps) traffic data to generate data symbols. Processor 112 also generates pilot symbols and further multiplexes the pilot symbols with data symbols. As used herein, a data symbol is a symbol for data, a pilot symbol is a symbol for pilot, and a symbol is typically a complex value. A data symbol or a pilot symbol may be sent on one subcarrier in one symbol period. The data symbols and pilot symbols may be modulation symbols from a modulation scheme such as PSK or QAM. The pilot symbols are known a priori by both a transmitter and a receiver and may be used to generate short and long training symbols and other types of pilot, as described below. An OFDM modulator/transmitter (OFDM MOD/TMTR) 116 performs OFDM modulation on the data symbols and pilot symbols to obtain output chips. Transmitter 116 further processes (e.g., converts to analog, filters, amplifies, and upconverts) the output chips and generates a modulated signal, which is transmitted from an antenna 118.
At receiver 150, an antenna 152 receives the modulated signal from transmitter 110 and provides a received signal. A receiver/OFDM demodulator (RCVR/OFDM DEMOD) 154 processes (e.g., filters, amplifies, downconverts, digitizes) the received signal to obtain samples, estimates and removes frequency error at receiver 150, and further performs OFDM demodulation on the samples to obtain received symbols for all subcarriers of interest. A phase correction unit 160 obtains the received symbols, estimates phase error in each symbol period, removes the phase error, and provides phase-corrected symbols. The terms “error” and “offset” are often used interchangeably with regard to frequency and phase. A detector 162 performs detection (e.g., matched filtering or equalization) on the phase-corrected symbols and provides estimated pilot and data symbols. Phase correction unit 160 may estimate the phase error based upon the received symbols and/or the estimated symbols. An RX data processor 164 processes (e.g., deinterleaves and decodes) the estimated data symbols and provides decoded data. Processor 164 may calculate log-likelihood ratios (LLRs) for code bits based upon the estimated data symbols and further deinterleaves and decodes the LLRs to obtain the decoded data.
Controllers/processors 120 and 170 direct the operation at transmitter 110 and receiver 150, respectively. Memories 122 and 172 store data and program codes for transmitter 110 and receiver 150, respectively.
At transmitter 210, a TX data and pilot processor 212 processes traffic data to generate data symbols, processes pilot to generate pilot symbols, and multiplexes the pilot symbols with data symbols. A TX spatial processor 214 performs transmitter spatial processing on the data and pilot symbols and provides T output symbol streams to T OFDM modulators/transmitters 216a through 216t. TX spatial processor 214 may perform direct MIMO mapping, spatial spreading, transmit beamforming, etc. Each data symbol and each pilot symbol may be sent from one antenna (for direct mapping) or multiple antennas (for spatial spreading and beamforming). Each OFDM modulator/transmitter 216 performs OFDM modulation on its output symbols to generate output chips and further processes the output chips to generate a modulated signal. T modulated signals from transmitters 216a through 216t are transmitted from antennas 218a through 218t, respectively.
At receiver 250, R antennas 252a through 252r receive the T modulated signals from transmitter 210, and each antenna 252 provides a received signal to a respective receiver/OFDM demodulator 254. Each receiver/OFDM demodulator 254 processes its received signal to obtain samples, estimates and removes frequency error at receiver 250, and further performs OFDM demodulation on the samples to obtain received symbols. A phase correction unit 260 processes the received symbols from OFDM demodulators 254a through 254r, estimates and removes phase error in each symbol period, and provides phase-corrected symbols. A MIMO detector 262 performs MIMO detection on the phase-corrected symbols and provides estimated pilot and data symbols. MIMO detector 262 may implement minimum mean square error (MMSE), zero-forcing (ZF), successive interference cancellation (SIC), or some other MIMO detection technique. Phase correction unit 260 may estimate the phase error based upon the received symbols and/or the estimated symbols. An RX data processor 264 processes the estimated data symbols and provides decoded data.
Controllers/processors 220 and 270 direct the operation at transmitter 210 and receiver 250, respectively. Memories 222 and 272 store data and program codes for transmitter 210 and receiver 250, respectively.
In an OFDM-based system, an OFDM symbol may contain data symbols on data subcarriers and/or pilot symbols on pilot subcarriers. A data subcarrier is a subcarrier used for data, and a pilot subcarrier is a subcarrier used for pilot. A phase error may be estimated by performing a dot product of an estimated symbol and its known symbol, as follows:
θ=tan−1(s*·ŝ), Eq (1)
where
s is a known symbol, e.g., a known pilot symbol,
ŝ an estimated symbol, e.g., an estimated pilot symbol, and
θ is the phase error between the estimated and known symbols.
In general, the estimated symbol ŝ may be an estimated pilot symbol or an estimated data symbol. The known symbol s may be a pilot symbol that is known a priori by the receiver or a hard decision of an estimated data symbol. A hard decision is typically a modulation symbol that is closest (e.g., in Euclidean distance) to the estimated data symbol.
A pilot-based phase estimate may be obtained based upon pilot symbols for symbol period n, as follows:
where pk,m(n) is a known pilot symbol for stream m on subcarrier k,
{circumflex over (p)}k,m(n) is an estimated pilot symbol for stream m on subcarrier k,
βk,m(n) is a weighting factor for stream m on subcarrier k,
NP (k) is the number of pilot streams on subcarrier k,
KP is the number of pilot subcarriers,
Xp (n) is a pilot-based phasor for symbol period n, and
θp (n) is a pilot-based phase error.
In equation (2), βk,m(n) represents the weight given to each estimated pilot symbol and may be determined based upon SNR, some other indication of received signal quality, and/or other factors. βk,m(n) may also be set to 1 to give equal weight to all estimated pilot symbols. Xp(n) is equal to a weighted sum of the dot products of the estimated pilot symbols and the known pilot symbols. Xp(n) contains the weighted average phase error between the estimated pilot symbols and the known pilot symbols.
In a SISO transmission, the number of pilot streams is equal to one for all pilot subcarriers, or Np(k)=1 for all k. In a MIMO transmission, the number of pilot streams may be equal to one, to the number of data streams, to the smaller of T and R, or independent of these parameters. The number of pilot streams may vary from subcarrier to subcarrier and/or from OFDM symbol to OFDM symbol.
The number of pilot symbols is typically much smaller than the number of data symbols. A phase estimate may thus be improved by using the data symbols as well as the pilot symbols. The data symbols are not known at the receiver. However, the receiver can estimate the transmitted data symbols by (1) performing detection on the received data symbols to obtain estimated data symbols and (2) making hard decisions on the estimated data symbols based upon the known data rate (and thus the signal constellation) used for the data symbols. The hard decisions may be used as the transmitted data symbols and may be compared against the estimated data symbols in the same manner as for the pilot symbols.
A data-based phase estimate may be obtained based upon the estimated data symbols for symbol period n, as follows:
where {circumflex over (d)}k,m(n) is an estimated data symbol for stream m on subcarrier k,
k,m(n) is a hard decision for estimated data symbol {circumflex over (d)}k,m(n),
ND (k) is the number of data streams on subcarrier k,
KD is the number of data subcarriers,
Xd (n) is a data-based phasor for symbol period n, and
θd (n) is a data-based phase error.
In equation (4), Xd(n) is equal to a weighted sum of the dot products of the estimated data symbols and the hard decisions. Xd(n) contains the weighted average phase error between the estimated data symbols and the hard decisions.
In a SISO transmission, the number of data streams is equal to one for all data subcarriers. In a MIMO transmission, the number of data streams is upper bounded by the smaller of the number of transmit antennas and the number of receive antennas, or ND≦min (T, R). The number of data streams may also vary from subcarrier to subcarrier and/or from OFDM symbol to OFDM symbol.
An absolute phase error may be obtained based upon the pilot and data symbols, as follows:
θabs(n)=tan−1{μd·Xd(n)+μp·Xp(n)} Eq (6)
where μd and μp are weighting factors for data and pilot symbols, respectively, and
θabs(n) is an absolute phase error obtained based upon data and pilot symbols.
The absolute phase error is the phase error observed in symbol period n and may be considered as a delta phase or an instantaneous phase error.
The weighting factors μd and μp may be selected to give greater weight to a more reliable phase estimate and less weight to a less reliable phase estimate in the combining process. The weighting factors may be fixed values or configurable values, e.g., determined by SNR estimates. The weighting factors may also be selected based upon maximal-ratio combining (MRC) or some other combining technique. Both μd and μp may be set to one to give equal weight to Xd(n) and Xp(n). μd may also be set to zero to omit Xd(n), and μp may be set to zero to omit Xp(n).
The receiver may estimate the frequency error at the receiver and remove the frequency error prior to performing OFDM demodulation. Residual error in the frequency error estimate causes a phase slope over time. In each symbol period, a running total of all previous phase corrections may be computed as follows:
θtotal(n+1)=αtotal·θtotal(n)+αabs·θabs(n), Eq (7)
where θtotal(n) is the total phase error in symbol period n, and
αtotal and αabs are scaling factors for θtotal(n) and θabs(n), respectively.
θtotal(n) may be initialized to zero prior to the first OFDM symbol. αtotal and αabs may be set to various values based upon the desired weighting for θtotal(n) and θabs(n), respectively. For example, αtotal and αabs may be defined as αtotal=αabs=1, and equation (7) would simply accumulate θabs(n). Alternatively, αtotal may be defined as 0≦αtotal≦1, and αabs may be defined as αabs=1−αtotal. In this case, equation (7) would implement an infinite impulse response (IIR) filter, with a larger value for αtotal, corresponding to more filtering, and vice versa.
The design in equation (7) sums the phases. In another design, complex values may be summed, which may yield a more accurate estimate since some information may be lost when summing only the phases.
The received symbols may be phase corrected as follows:
{tilde over (r)}k,m(n)=rk,m(n)·e−j·θ
where rk,m(n) is a received symbol for stream m on subcarrier k, and
{tilde over (r)}k,m(n) is a phase-corrected symbol corresponding to received symbol rk,m(n).
A single phase estimate may be obtained for all streams and subcarriers and applied to the received symbols for all streams and subcarriers, as described above. Alternatively, a phase estimate may be obtained for each stream or subcarrier and applied to the received symbols for that stream or subcarrier. In general, a phase estimate may be obtained for any number of streams and any number of subcarriers and applied to the received symbols for these streams and subcarriers. After the phase correction, detection and decoding may be performed on the phase-corrected symbols.
The received symbols from receiver/OFDM demodulators 254 are phase corrected by the updated total phase error θtotal(n+1), which includes the phase error for the current symbol period n (block 326). The phase-corrected symbols are then processed (e.g., detected) to obtain new estimated data symbols (block 328), which are decoded to obtain decoded data (block 330).
In
The received symbols for symbol period n are phase corrected by θtotal(n) (block 414). The phase-corrected symbols are processed (e.g., detected) to obtain estimated pilot symbols and estimated data symbols (block 416). The pilot-based phasor Xp(n) is computed based upon the estimated pilot symbols (block 418). The data-based phasor Xd(n) is computed based upon the estimated data symbols and their hard decisions (block 420). The absolute phase error θabs(n) may be derived based upon phasors Xp(n) and Xd(n) (block 422). The total phase error θtotal(n) is updated with the absolute phase error, and the symbol period index n is incremented (block 424). The estimated data symbols are decoded to obtain decoded data (block 426).
In
In another design, the received pilot symbols are phase corrected by the total phase error and detected. The pilot-based phasor Xp(n) and pilot-based phase error θp(n) are obtained based upon the estimated pilot symbols. The total phase error θtotal(n) is updated with θp(n). The received data symbols are phase corrected by the updated total phase error and detected. The data-based phasor Xd(n) and data-based phase error θd(n) are obtained based upon the estimated data symbols. The total phase error is updated again with θd(n). In this design, the received data symbols are corrected by the pilot-based phase error θp(n) obtained in the current symbol period, and the data-based phase error θd(n) is used in the next symbol period.
In yet another design, blocks 412 through 424 are performed as described above for
The phase correction techniques described herein may be used for various wireless communication networks such as WLANs that implement the IEEE 802.11 family of standards developed by The Institute of Electrical and Electronics Engineers (IEEE) for WLANs. IEEE 802.11, 802.11a, 802.11b, 802.11g, and 802.11n cover different radio technologies and have different capabilities. For clarity, the techniques are described below for a WLAN that implements IEEE 802.11a, 802.11g and/or 802.11n, all of which utilize OFDM.
IEEE 802.11a/g utilizes a subcarrier structure that partitions the system bandwidth into K=64 subcarriers, which are assigned indices of −32 to +31. These 64 total subcarriers include 48 data subcarriers with indices of ±{1, . . . , 6, 8, . . . , 20, 22, . . . , 26} and four pilot subcarriers with indices of ±{7, 21}. The DC subcarrier with index of 0 and the remaining subcarriers are not used. This subcarrier structure is described in IEEE Standard 802.11a entitled “Part 11: Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) Specifications: High-speed Physical Layer in the 5 GHz Band,” September 1999, which is publicly available. IEEE 802.11n utilizes a subcarrier structure with 64 total subcarriers that include 52 data subcarriers with indices of ±{1, . . . , 6, 8, . . . , 20, 22, 28} and four pilot subcarriers with indices of ±{7, 21}.
For IEEE 802.11n, a MIMO pilot section is inserted between signal section 530 and data section 540 and carries a MIMO pilot used for MIMO channel estimation.
Within OFDM demodulator 600, a frequency error estimator 610 estimates the frequency error at the receiver (e.g., based upon the long and/or short training symbols in a received PPDU) and provides a frequency error estimate ferr. A frequency correction unit 612 removes the phase slope due to the frequency error, as follows:
{tilde over (x)}(t)=x(t)·ej2π·f
where
x(t) is a received sample for sample period t,
Tsym is one sample period, and
{tilde over (x)}(t) is a frequency-correct sample for sample period t.
A timing acquisition unit 614 determines the timing of the received PPDU, e.g., based upon the long and/or short training symbols. Unit 614 also receives the frequency error estimate and adjusts the timing to account for the frequency error. At the receiver, the sampling clock used for digitization and the local oscillator (LO) signal used for downconversion may be generated based upon a single reference oscillator. In this case, frequency error in the reference oscillator causes both frequency error in the LO signal as well as timing error in the sampling clock. Hence, a frequency error of z parts per million (ppm) corresponds to a timing error of z ppm. Unit 614 may determine the per-sample timing error due to the frequency error and compute the total timing error in each symbol period by accumulating the per-sample timing error across time.
A received OFDM symbol contains K+C samples, where C is the cyclic prefix length. For OFDM demodulation, unit 614 generates an FFT window that selects K samples from among the K+C samples. When the total timing error exceeds ±1 sample period, ±1 sample period may be subtracted from the total timing error, and the FFT window may be shifted forward by one sample period (for +) or backward by one sample period (for −). This keeps the FFT window within one sample of the initial timing. With a frequency error of 40 ppm for the reference oscillator, the total timing error may be half of the short training symbol in 5 milliseconds (ms). This timing slip may be corrected to improve performance, especially for long packets supported by IEEE 802.11n.
A cyclic prefix removal unit 616 obtains the frequency-corrected samples from unit 612 and the FFT window from unit 614. For each received OFDM symbol, unit 616 removes the cyclic prefix and provides K samples within the FFT window. An FFT unit 618 performs a K-point FFT on the frequency-correct samples from unit 616 and provides received symbols for the K total subcarriers.
A phase correction unit 720 obtains received data symbols dk,m(n) and the current phase error θc(n), removes the current phase error from the received data symbols, and provides phase-corrected data symbols. A detector 722 performs detection on the phase-corrected data symbols and provides estimated data symbols {circumflex over (d)}k,m(n). A phase estimator 724 derives the data-based phasor Xd(n) based upon the estimated data symbols. Computation unit 716 receives Xd(n) and updates the total phase error.
Units 712 and 722 may be part of data/pilot detector 162 in
The pilot-based phasor Xp(n) may be obtained based upon the estimated pilot symbols and used to derive the current phase error θc(n). The received data symbols may be phase corrected by θc(n) and detected to obtain the estimated data symbols. The data-based phasor Xd(n) may then be obtained based upon the estimated data symbols and used to determine the phase error for the next symbol period. The pilot-based phase estimate may thus be used for the current OFDM symbol whereas the data-based phase estimate may be used for the next OFDM symbol. Phase error estimation and correction may also be performed in other manners.
The phase error computation in block 716 may be performed in various manners. The phase error computation may be performed as described above for equations (2) through (7). The phase error computation may also be performed using phasors (or complex values) for the phase estimates, as described below. The phasors support simple maximal-ratio combining of phase estimates from different sources so that more reliable phase estimates are weighted more in the combining process. By representing the phase estimates using phasors, the amplitude of a phasor can reflect the weighting for the corresponding phase estimate. The computation of the phasors may include SNR information, so that the accuracy/reliability of the phase estimates is reflected directly in the phasor amplitude. The phase error may be derived by summing the phasors and determining the angle of the result, as described below.
The pilot-based phasor Xp(n) may be derived based upon the estimated pilot symbols, e.g., as shown in equation (2). The current phasor and the corresponding current phase error may be determined as follows:
Xc(n)=
θc(n)=tan−1{Xc(n)}, Eq (11)
where
Xp(n) is a phasor obtained from the tracking pilot in the current symbol period,
Xt(n) is a total phasor obtained in the prior symbol period,
Xc(n) is a current phasor for the current symbol period,
α is a scaling factor, and
p is a pilot offset correction.
The total phasor Xt(n) is a complex value having an amplitude that is related to the standard deviation of the phase error. Xt(n) may be initialized as Xt(0)=Ainit+j0, where Ainit is an amplitude that may be dependent on phase noise level, residual frequency error, the time between the center of the preamble or MIMO pilot and the center of the first OFDM symbol in the signaling section, etc.
In equation (10), the current phasor Xc(n) is a weighted sum of the pilot-based phasor Xp(n) and the total phasor Xt(n). Scaling factor α determines the weight given to the total phasor Xt(n) in computing the current phasor Xc(n). α may be selected based upon the frequency error and the oscillator phase noise at the receiver. For example, a small value may be used for α if the phase noise is large and/or if prior information is not reliable, and vice versa. α may be set to one value initially and to another value after a predetermined number of OFDM symbols. α may also be set to zero to use only the pilot symbols for phase correction. The pilot offset correction
The data-based phasor Xd(n) may be derived based upon the estimated data symbols, e.g., as shown in equation (4). Xd(n) may also be derived in a manner to account for SNR and signal constellation. The number of hard decision errors is dependent on SNR and may be significant at low SNRs, especially for code rate of ½. Hard decision errors may result in the mean of the phase error being smaller in absolute value than the actual value. The amount of bias in the mean phase error is dependent on the SNR and signal constellation. This bias may be corrected by scaling down the real component of the phasor relative to the imaginary part.
The dot product of an estimated data symbol and its hard decision may be expressed as:
wk,m(n)=βk,m(n)·
where wk,m(n) is a scaled dot product of the estimated data symbol {circumflex over (d)}k,m(n) with the hard decision
The data-based phasor Xd(n) may then be expressed as:
where μi and μq are scale factors for the real and imaginary components, respectively.
The scale factors μi and μq may be selected based upon the SNR of each stream and subcarrier, the signal constellation, etc. The use of two different scale factors for the real and imaginary components accomplishes both bias correction and maximal-ratio combining. μi and μq may also be dependent on modulation symbol location. For example, modulation symbols at the edges of a signal constellation typically have less neighbors, may be more reliable, and may be given higher weight whereas modulation symbols away from the edges typically have more neighbors, may be less reliable, and may be given lower weight.
The absolute phase error of the received data symbols, which is the phase error prior to the phase correction in block 720, may be obtained as follows:
Xdu(n)=Xd(n)·
where
Xdu(n) is a phasor for the absolute phase error of the data symbols.
The data-based phasor Xd(n) is obtained after phase correction in block 720. The phase error prior to this phase correction is obtained by adding back the phase correction by block 720. This is achieved by multiplying Xd(n) with
The total phasor may then be determined as follows:
Xt(n+1)=Xc(n)+Xdu(n). Eq (15)
In equation (15), the absolute phase error of the data symbols is combined with the current phase error to obtain the total phase error, where the combining is performed with phasors to achieve maximal-ratio combining.
The pilot offset correction
where L is the number of symbol periods to accumulate and may be any integer value.
The accumulation in equation (16) may be performed over L symbol periods at the start of a transmission, and the result may be used for the remainder of the transmission. A running accumulation may also be performed to obtain Yp. Yp is then normalized to obtain
A unit 818 normalizes Xc(n) and provides
A unit 828 receives the pilot-based phasor Xp(n) and provides a conjugated phasor X*p(n). A multiplier 830 multiplies the output of unit 828 with the absolute phasor Xdu(n). An accumulator 832 accumulates the output of multiplier 830 over L symbol periods and provides phasor Yp, as shown in equation (16). A unit 834 normalizes Yp and provides
The received data symbols for symbol period n are phase corrected by the current phase error θc(n) (block 924). The phase-corrected data symbols are processed (e.g., detected) to obtain estimated data symbols (block 926). The data-based phasor Xd(n) is computed based upon the estimated data symbols and their hard decisions, e.g., as shown in equations (12) and (13) (block 928). The total phasor is updated with the data-based phasor Xd(n) and the current phasor Xc(n), e.g., as shown in equations (14) and (15) (block 930). The estimated data symbols are decoded (block 932).
{tilde over (d)}k,m(n)={circumflex over (d)}k,m(n)·
where {tilde over (d)}k,m(n) is a phase-corrected estimated data symbol. The phase-corrected estimated data symbols are decoded (block 1026).
In
For block 1114, the phase of the received pilot symbols may be corrected, e.g., by an initial phase error, which may be the phase error for a prior symbol period, zero, or some other value. Detection may be performed on the phase corrected pilot symbols to obtain estimated pilot symbols. Dot products of the estimated pilot symbols and known pilot symbols may be computed, weighted by scaling factors that may be dependent on SNR estimates and/or other factors for different subcarriers and streams, and combined to obtain the first phase information. For block 1116, the phase of the received data symbols may be corrected, e.g., by the first phase information. Detection may be performed on the phase corrected data symbols to obtain estimated data symbols. Hard decisions may be obtained for the estimated data symbols. Dot products of the estimated data symbols and the hard decisions may be computed, weighted by scaling factors that may be dependent on SNR and/or other factors, and combined to obtain the second phase information. The first and second phase information may also be obtained in other manners.
Block 1118 may be performed in various manners. In one scheme, the phase of the received pilot symbols is corrected based upon the second phase information (e.g., from the prior symbol period), the first phase information is obtained based upon the phase corrected pilot symbols, and the phase of the received data symbols is corrected based upon the first phase information. In another scheme, the phase of the received data symbols is corrected based upon the first phase information, detection is performed on the phase corrected data symbols to obtain estimated data symbols, the second phase information is obtained based upon the estimated data symbols, and the phase of the estimated data symbols is corrected based upon the second phase information, e.g., as shown in
The frequency error estimate from unit 610 in
The phase correction techniques utilize phase information from various sources such as pilot symbols, data symbols, and so on. The phase information from the pilot and data symbols provides an accurate estimate of the residual frequency error and may be used for phase correction in various manners, some of which are described above. The phase information from the pilot and data symbols in different symbol periods may be combined in various manners. A weighted phase correction value may be derived based upon the phase information from different sources, subcarriers, streams, and symbol periods and used for phase correction in the current symbol period. The phase information from the data symbols may be used in the current or next symbol period depending on latency, processing, and/or other factors.
The techniques described herein may be beneficial when a residual frequency error causes a phase slope over time. The techniques may also be beneficial for phase error that does not grow in time, e.g., phase error that may be random from one OFDM symbol the next, such as phase noise. The techniques may be used for any number of streams, which may have the same or different rates, e.g., a separate rate applied independently to each stream.
For a firmware and/or software implementation, the techniques may be implemented with modules (e.g., procedures, functions, and so on) that perform the functions described herein. The firmware and/or software codes may be stored in a memory (e.g., memory 172 in
The previous description of the disclosure is provided to enable any person skilled in the art to make or use the disclosure. Various modifications to the disclosure will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other variations without departing from the spirit or scope of the disclosure. Thus, the disclosure is not intended to be limited to the examples shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
The present application claims priority to provisional U.S. Application Ser. No. 60/802,632 entitled “DECISION-DIRECTED PHASE CORRECTION FOR SISO AND MIMO OFDM SYSTEMS,” filed May 22, 2006, assigned to the assignee hereof and incorporated herein by reference.
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