The present application relates generally to determination of channel quality feedback in wireless mobile communication systems and, more specifically, to an improved low-complexity feedback algorithm that is suitable for use in a multiple input, multiple output (MIMO) system.
Detection of signals and providing periodic channel quality feedback in multiple input, multiple output (MIMO) wireless transmission systems presents a challenging problem involving complex and extensive computations. For mobile handsets, the number of computations that must be performed to provide feedback for each transmitted symbol can require substantial power consumption, decreasing battery life.
For use in a receiver in a multiple input, multiple output (MIMO) system, a method for generating channel quality feedback information is provided. The method includes receiving, from a MIMO transmitter, pilot signals in each MIMO layer. The method also includes selecting an optimal precoder matrix for each MIMO layer using a first detection metric. The method further includes determining a signal-to-noise ratio (SNR) for each MIMO layer using a second detection metric and the optimal precoder.
For use in a receiver in a MIMO system, an apparatus configured to generate channel quality feedback information is provided. The apparatus includes a processor. The processor is configured to receive, from a MIMO transmitter, pilot signals in each MIMO layer. The processor is also configured to select an optimal precoder matrix for each MIMO layer using a first detection metric. The processor is further configured to determine a SNR for each MIMO layer using a second detection metric and the optimal precoder.
A receiver configured for use in a MIMO system and capable of generating channel quality feedback information is provided. The receiver includes a plurality of antenna elements and a processor coupled to the plurality of antenna elements. The processor is configured to receive, from a MIMO transmitter, pilot signals in each MIMO layer. The processor is also configured to select an optimal precoder matrix for each MIMO layer using a first detection metric. The processor is further configured to determine a SNR for each MIMO layer using a second detection metric and the optimal precoder.
Before undertaking the DETAILED DESCRIPTION below, it may be advantageous to set forth definitions of certain words and phrases used throughout this patent document: the terms “include” and “comprise,” as well as derivatives thereof, mean inclusion without limitation; the term “or,” is inclusive, meaning and/or; the phrases “associated with” and “associated therewith,” as well as derivatives thereof, may mean to include, be included within, interconnect with, contain, be contained within, connect to or with, couple to or with, be communicable with, cooperate with, interleave, juxtapose, be proximate to, be bound to or with, have, have a property of, or the like; and the term “controller” means any device, system or part thereof that controls at least one operation, such a device may be implemented in hardware, firmware or software, or some combination of at least two of the same. It should be noted that the functionality associated with any particular controller may be centralized or distributed, whether locally or remotely. Definitions for certain words and phrases are provided throughout this patent document, those of ordinary skill in the art should understand that in many, if not most instances, such definitions apply to prior, as well as future uses of such defined words and phrases.
For a more complete understanding of the present disclosure and its advantages, reference is now made to the following description taken in conjunction with the accompanying drawings, in which like reference numerals represent like parts:
The following documents and standards descriptions are hereby incorporated into the present disclosure as if fully set forth herein:
“Evolved Universal Terrestrial Radio Access (E-UTRA); User Equipment (UE) Radio Access Capabilities (Release 10)”, 3GPP Technical Specification No. 36.211, version 10.2.0, June 2011 (hereinafter “REF1”); and “Evolved Universal Terrestrial Radio Access (E-UTRA); User Equipment (UE) radio transmission and reception (Release 10)”, 3GPP Technical Specification No. 36.101, version 10.3.0, June 2011 (hereinafter “REF2”).
MIMO antenna systems are an integral part of fourth generation communications systems such as Long Term Evolution (LTE), LTE Advanced (LTE-A) and Worldwide Interoperability for Microwave Access (WiMAX). To achieve high spectral efficiency, as many as eight antennas are supported at both the receiver and transmitter in LTE Release 10. In addition, higher order modulations such as Quadrature Amplitude Modulation with 64 constellation points (64-QAM) are used in a high signal-to-noise ratio (SNR) scenario.
In the illustrated embodiment, wireless network 100 includes a base station (BS) 101, BS 102, and BS 103. Depending on the network type, other well-known terms may be used instead of “base station,” such as “Evolved Node B” (eNB) or “access point” (AP). For simplicity and clarity, the term “base station” will be used herein to refer to the network infrastructure components that provide or facilitate wireless communications network access to remote (mobile or fixed) terminals.
The BS 101 communicates with BS 102 and BS 103 via network 130 operating according to a standardized protocol (e.g., X2 protocol), via a proprietary protocol, or preferably via Internet protocol (IP). IP network 130 may include any IP-based network or a combination thereof, such as the Internet, a proprietary IP network, or another data network.
The BS 102 provides wireless broadband access to a first plurality of mobile stations (MSs) within coverage area 120 of BS 102. In the example illustrated, the first plurality of MSs includes MS 111, which may be located in a small business; MS 112, which may be located in an enterprise; MS 113, which may be located in a wireless fidelity (WiFi) hotspot; MS 114, which may be located in a first residence; MS 115, which may be located in a second residence; and MS 116, which may be a mobile device, such as a cell phone, a wireless laptop, a wireless-enabled tablet, or the like. For simplicity and clarity, the term “mobile station” or “MS” is used herein to designate any remote wireless equipment that wirelessly accesses or communicates with a BS, whether the MS is a mobile device (e.g., cell phone, wireless-enabled tablet or laptop, etc.) or is normally considered a stationary device (e.g., desktop personal computer, wireless television receiver, etc.). In other systems, other well-known terms may be used instead of “mobile station,” such as “user equipment” (UE), “subscriber station” (SS), “remote terminal” (RT), “wireless terminal” (WT), and the like.
The BS 103 provides wireless broadband access to a second plurality of MSs within coverage area 125 of BS 103. The second plurality of MSs includes MS 115 and MS 116. In an exemplary embodiment, BSs 101-103 communicate with each other and with MSs 111-116 using MIMO techniques. While only six MSs are depicted in
As shown in
In the example depicted, the transmitter 201 includes encoding and modulation circuitry comprising a channel encoder 205 receiving and encoding data for transmission, an interleaver 206 coupled to the channel encoder 205, a modulator 207 coupled to the interleaver 206, and a de-multiplexer 208 coupled to the modulator 207 and antenna elements 203-1 to 203-L. In the example depicted, the receiver 202 includes a MIMO demodulator 209 coupled to the antenna elements 204-1 to 204-L, a de-interleaver 210 coupled to the MIMO demodulator 209 and a channel decoder 211 coupled to the de-interleaver 210. In addition, transmitter 201 and receiver 202 may each include a programmable processor or controller including and/or connected to memory and coupled to the respective transmitter and receiver chains for controlling operation of the respective BS or MS. Using such components, synchronization signals are transmitted by a BS and received by an MS in the manner described in further detail below.
where Y1 and Y2 are the received signal at antenna elements 204-1 and 204-2, respectively, X1 and X2 are the symbols transmitted by antenna elements 203-1 and 203-2, respectively, h11 and h12 represent characteristics of channel H between antenna element 203-1 and antenna elements 204-1 and 204-2, respectively, h21 and h22 represent channel characteristics between antenna element 203-2 and antenna elements 204-1 and 204-2, respectively, and n1 and n2 are independent identically distributed Gaussian noise signals with variance σ2.
MIMO detection is used to recover estimates of the bits in X1 and X2. Since the system is coded, interest is focused on the soft estimates (i.e., log-likelihood ratios or “LLRs”) instead of the actual bits themselves, where the soft estimates are then fed to the turbo decoder. The performance of any detector is finally evaluated according to the resulting block error rate (BLER) (sometimes also referred to as frame error rate or “FER”) performance as a function of the SNR.
In LTE Release 8, periodic feedback of the channel state is sent from the UE to the ENodeB. This feedback includes three components:
To illustrate these concepts,
Y=HPX+n [Eqn. 1]
where Y is a vector of length nRx, P is the precoder matrix, and X is a vector of length L, and n is a noise vector.
The rank of this system is equal to L. The precoder is restricted to a finite set of choices. For example, for an example 4×4 MIMO system, the precoder can only be selected from Table 1 below, where
One approach to selecting the rank and precoder for feedback is to work backwards from the detection algorithm used in the receiver. For example, a MIMO system is considered that includes a receiver that uses a MMSE detector. A MMSE filter for the system in Equation 1 is given as:
F
MMSE=(HP)H(HPPHHH+σ2I)−1 [Eqn. 2]
where σ2 is a variance of the noise. The MMSE filter is dependent on the MIMO channel H, which can be estimated at the receiver using pilot symbols transmitted from the base station.
The MMSE filter can be applied to Equation 1 to get:
F
MMSE
Y=F
MMSE
HPX+F
MMSE
n [Eqn. 3]
Equation 3 can be decomposed as L separate equations, each of the L equations having the form:
{circumflex over (X)}
L
={tilde over (H)}
ll
X
l+Σ{i=1,i≠1}L{tilde over (H)}liXi+ñl [Eqn. 4]
where {tilde over (Y)}l and ñl are the components of the vectors FMMSEY and FMMSEn respectively, and Hij are the components of the L×L matrix FMMSEHP.
Using Equation 4, the signal-to-noise ratio (SNR) for layer l can be determined as:
where {tilde over (σ)}l2 represents the noise variance experienced on layer l, as per Equation 4.
The SNR per layer may be mapped to determine effective spectral efficiency per layer. Using the spectral efficiency per layer, it is possible to determine how much throughput can be achieved with various combinations of precoder matrices and rank. The combination that provides the best throughput can be indicated. The CQI may then be reported based on that rank and precoder.
The MMSE matrix in Equation 2 may need to be reevaluated for each precoder matrix. This results in a large number of mathematical operations at the receiver. For example, in a 4×4 MIMO system, there are 16 precoder choices for each selection of rank ε{1, 2, 3, 4}, as shown in Table 1. The number of multiplications required to compute the feedback using this technique for each resource block is 9584.
In accordance with an embodiment of this disclosure, a new feedback algorithm uses a new, low-complexity metric to determine the optimal precoder. Using the new metric, the optimal precoder is quickly determined without the need to evaluate the MMSE matrix for each precoder candidate. The new metric is based on the following observation. Suppose there is a function f(x) that is to be maximized over a finite and sparse set. Then there is an infinite number of functions fi(X) indexed by i, such that argmaxxεS(f(x))=argmaxxεS(fi(x)). An example is shown in
In one embodiment of this disclosure, the new metric is based upon the maximum ratio combining (MRC) detection metric, which has substantially lower complexity than the original MMSE metric. Use of the MRC detection metric instead of the MMSE metric is based on the fact that, over a sparse set, many different functions have the same optimizing argument. Simulation results are provided below that establish that the low complexity MRC metric is a good substitute for the MMSE metric.
To explain the MRC metric, it is helpful to describe the MRC detector as follows. Considering Equation 1 (shown above). To detect the ith layer, Equation 1 is multiplied by (HPi)H. The result of the multiplication is the following:
(HPi)HY=|HPi|2Xi+Σj=1,j≠iLPiHHHHPjXj+(HPi)Hn [Eqn. 6]
Thus, the SNR using the MRC detector is given as:
Since the objective of the new metric is reduced computational complexity, the denominator of the right side of Equation 7 can be ignored. This eliminates the need to calculate the cross terms PiHHHHPj. Equation 7 is thus reduced to the following:
SNR
i
∝|HP
i|4 [Eqn. 8]
Finally we choose a precoder that maximizes the quantity in Equation 8, using the following equation:
f(SNRi=1L)=Σi=1LSNRi [Eqn. 9]
It will be understood by those skilled in the art that the use of Equations 8 and 9 is just one of many possible choices for the SNR, and f(SNRi=1L) that could be made while choosing a feedback algorithm metric.
In summary, the feedback algorithm proceeds as follows:
Stage 1) Select the optimal precoder based upon the MRC metric, using Equation 9.
Stage 2) Use the optimal precoder for each rank to report the best rank and PMI based upon the aforementioned MMSE metric.
Use of the MRC metric in the feedback algorithm described herein provides a significant savings in complex computations. For example, in a 4×4 MIMO system, the original MMSE based algorithm requires 9584 multiplications. In contrast, use of the MRC metric described herein results in a feedback algorithm that requires only 625 multiplications. Thus, the number of multiplications is reduced by a factor of 15.33.
As shown in
The embodiments described above provide a very low complexity MIMO detection algorithm that is suitable for many applications, including use in LTE-Advanced modem chips. The disclosed embodiments of the detection algorithm provide increased throughput, improved cellular reception, and improved battery power conservation.
Although the present disclosure has been described with an exemplary embodiment, various changes and modifications may be suggested to one skilled in the art. It is intended that the present disclosure encompass such changes and modifications as fall within the scope of the appended claims.
The present application claims priority to U.S. Provisional Patent Application Ser. No. 61/543,200 filed Oct. 4, 2011, entitled “METHOD AND APPARATUS FOR LOW COMPLEXITY FEEDBACK”. The content of the above-identified patent documents is incorporated herein by reference.
Number | Date | Country | |
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61543200 | Oct 2011 | US |