CN110212960B - Improved SLNR (Signal to noise ratio) -based MU-MIMO (Multi-user multiple input multiple output) system precoding method and power distribution method - Google Patents
Improved SLNR (Signal to noise ratio) -based MU-MIMO (Multi-user multiple input multiple output) system precoding method and power distribution method Download PDFInfo
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Abstract
The invention discloses a precoding method of an MU-MIMO system based on improved SLNR, which is characterized in that the method obtains a channel modification matrix for correcting and estimating the co-channel interference of other users in a channel matrix in an SLNR method based on the minimum mean square error of the channel modification matrix; obtaining an optimal precoding matrix for improving the SLNR index based on the channel modification matrix; the estimated channel matrix is configured to estimate incomplete channel state information. In addition, the invention also discloses a power distribution method based on the improved SLNR MU-MIMO system precoding method, wherein, the base station distributes based on the improved SLNR value of each user; the power allocated to each user k is inversely proportional to the improved SLNR value for that user k. The invention can effectively improve the defect of higher error rate of the traditional SLNR method for signal transmission under partial channel state information, and can improve the defect of higher error rate of signals received by users with poor signal-to-noise ratio in the equal power distribution technical scheme with lower cost.
Description
Technical Field
The invention relates to the technical field of wireless communication, in particular to a precoding method and a power distribution method of an MU-MIMO system based on improved SLNR.
Background
The popularity of multimedia applications such as intelligent terminals and social networks has led to a significant increase in the demands of mobile cellular networks for system capacity and reliability. A multi-User Multiple Input Multiple Output (MU-MIMO) system is widely used because it can effectively increase channel capacity. MU-MIMO systems provide significant improvements in system performance by increasing multiplexing and diversity gains without increasing bandwidth and transmission power.
In the MU-MIMO downlink model, one of the main objectives in designing an optimal linear MU-MIMO precoding scheme is to optimize the signal-to-noise ratio, however this problem is challenging due to its coupling. To avoid the coupling problem, the prior art generally uses a Zero Forcing (ZF) precoding scheme, which can eliminate the co-channel interference of each user. In addition, based on the concept of Signal to Leakage and noise Ratio (SLNR), the SLNR method is introduced as an optimization index of linear precoding design. The SLNR index can also convert a coupling optimization problem into a complete decoupling optimization problem, and is easy to solve. Unlike the ZF scheme, the SLNR precoding scheme does not require any limitation on the number of base station antennas, and also takes the influence of noise into consideration when designing beamforming vectors for all users. However, both the conventional ZF scheme and the SLNR scheme face a problem of high error rate. In addition, the current technical scheme of equal power distribution is adopted to transmit data for users covered by the base station, so that the error rate of signals received by users with poor signal-to-noise ratio is higher.
Therefore, those skilled in the art are dedicated to develop an improved SLNR-based MU-MIMO system precoding method and a power allocation method, which can effectively improve the defect of high error rate of the conventional SLNR method for signal transmission under incomplete channel state information, and improve the defect of high error rate of signals received by users with poor signal-to-noise ratio by using a medium power allocation technical scheme in the above scenario at a low cost.
Disclosure of Invention
In view of the above drawbacks of the prior art, the technical problem to be solved by the present invention is to improve the conventional SLNR method, which has a high signal transmission error rate under partial channel state information, and to improve the medium power allocation technical scheme in the above scenario at a low cost, so that the error rate of the signal received by the user with poor signal-to-noise ratio is high.
In order to achieve the above object, the present invention provides an improved SLNR-based MU-MIMO system precoding method, which obtains a channel modification matrix for correcting and estimating co-channel interference of other users in a channel matrix in an SLNR method based on a minimum mean square error of the channel modification matrix; obtaining an optimal precoding matrix for improving the SLNR index based on the channel modification matrix; the estimated channel matrix is configured to estimate incomplete channel state information.
Further, the estimated channel matrix for user k in the SLNR method satisfies:
wherein,the estimated channel matrix for the user k, E is an estimated error matrix; hkA channel matrix containing complete channel state information for the user k; SLNRkThe signal-to-leakage-and-noise ratio of the user k is obtained; w is akA precoding matrix for the user k; k is the total number of users under the same base station with the user K; mkReceiving the number of antennas for the user k; sigmakFor the channel matrix HkMean square error of medium gaussian noise.
Further, the estimation error matrix E is a zero-mean circularly symmetric complex gaussian variable.
Further, based on the channel modification matrix and the estimated channel matrixObtaining an equivalent channel matrix after the error of the estimated channel matrix correction; the equivalent channel matrix satisfies:
wherein F is the channel modification matrix; h'kThe equivalent channel matrix for user k; and | | F | | non-conducting phosphor21. Further, the channel modification matrix F is:
F=argmin E[||Hk-H'k||2]
wherein E [ ] is the expected calculation; and | | is the norm calculation of the matrix.
Further, the F is solved by making the gradient of the mean square error of the F equal to zero.
Further, the F of the user k requires a homogenization process, and a mean square variance σ' based on the F after the homogenization process satisfies:
wherein λ isiIs a non-zero eigenvalue of the full channel covariance matrix; sigmaEIs the mean square error of the estimation error matrix E;
further, based on the equivalent channel matrix, solving an improved SLNR; the improved SLNR satisfies:
wherein, SLNR'kIs the improved SLNR; i isNAn identity matrix of NxN; σ' is the normalized minimum mean square error of the channel modification matrix;to expand the channel matrix, an
where max EV is the maximum eigenvector calculation.
In addition, the invention also discloses a power distribution method of MU-MIMO based on improved SLNR, wherein a base station distributes based on the improved SLNR value of each user; the power allocated to each user k is inversely proportional to the improved SLNR value for that user k, as follows:
wherein, SLNR'kAn improved SLNR value or said optimal precoding matrix calculated for a method based on any of claims 1-9; p is a radical oftThe total transmission power of the base station where the user k is located; p is a radical ofkThe power allocated for the user k.
Compared with the prior art, the invention has the beneficial technical effects that:
1) under the condition of incomplete channel state information, the influence of an estimation error matrix is effectively reduced through a channel modification matrix obtained based on the minimum mean square error, and the error rate of a system can be effectively reduced;
2) the channel self-adaptive power distribution method provided by the invention effectively improves the information receiving quality of the user with poor signal-to-noise ratio in the scene, and reduces the information receiving error rate of the user.
The conception, the specific structure and the technical effects of the present invention will be further described with reference to the accompanying drawings to fully understand the objects, the features and the effects of the present invention.
Drawings
Fig. 1 is a block diagram of a MU-MIMO system in accordance with a preferred embodiment of the present invention.
Detailed Description
The technical contents of the preferred embodiments of the present invention will be more clearly and easily understood by referring to the drawings attached to the specification. The present invention may be embodied in many different forms of embodiments and the scope of the invention is not limited to the embodiments set forth herein.
In the drawings, structurally identical elements are represented by like reference numerals, and structurally or functionally similar elements are represented by like reference numerals throughout the several views. The size and thickness of each component shown in the drawings are arbitrarily illustrated, and the present invention is not limited to the size and thickness of each component. The thickness of the components may be exaggerated where appropriate in the figures to improve clarity.
In the present invention, for the matrices A, AHRepresents the conjugate transpose thereof; tr (A) represents the trace of the matrix, Re { A } represents the index portion of tr (A), | A | represents the complex modulus of its matrix, | A | | | takes the F-norm of the matrix, ILDenotes an identity matrix of L.times.L, E [, ]]The expected value.
The invention considers the downlink MU-MIMO environment of a base station, the base station adopts N transmitting antennas to communicate with K users, each user can be configured with a plurality of antennas; mkDenotes the number of receiving antennas for K (K is 1, 2, …, K) th user K, and satisfiesLk(Lk≤Mk) Representing the number of data streams for user k.
Example one
Fig. 1 is a block diagram of a MU-MIMO system applied in the present embodiment.
In a conventional multi-user transmission strategy, the transmission data information of the base station can be expressed as:
wherein n iskRepresents an additive white Gaussian noise sample with a mean of 0 and a variance of σk 2(ii) a MU-MIMO channel for user kIs a standard independent identically distributed rayleigh fading channel. M of user kkxN channel matrix HkExpressed as:
the conventional SLNR precoding method can be expressed as:
wherein, SLNRkIs the signal to leakage noise ratio of said user k.
The traditional SLNR precoding method is based on SLNR of all users kkIndependent precoding matrix wkThe coupling problem encountered in SINR precoding is overcome. However, in an actual communication scenario, due to the influence of estimation errors, channel state information of a downlink channel of a base station is not ideal and is not complete, and thus the bit error rate is still considerable.
In the actual transmission process, the channel matrix H containing complete channel information is used for quantizing noise and interference of other users in the same channelkAnd the estimation error matrix of the incomplete channel state information is estimated by using a channel estimation matrix: where E is the estimated error matrix,estimating a channel matrix for the user k; and the estimated error matrix E is the variance of sigmaEThe zero mean value of (a) is circularly symmetric to a complex gaussian variable.
The invention adopts a Minimum Mean Square Error (MMSE) method based on the eigenvector to improve the estimation channel matrix, thereby effectively reducing the influence of the estimation Error matrix.
The equivalent channel matrix improved based on the estimated channel matrix satisfies the following conditions:
wherein F is the channel modification matrix; h'kThe equivalent channel matrix for user k. Considering the constraint condition, I F I calculation should be performed2=1。
The channel modification matrix F is:
F=argmin E[||Hk-H'k||2]
solving the F by making the gradient of the mean square error of the F equal to zero, wherein the concrete process is as follows:
σ2=E[||Hk-HkF+EF||2]
=E[tr[(Hk-HkF+EF)H(Hk-HkF+EF)]]
=tr(Hk HHk)-2Re{tr(Hk HHkF)}+tr(FHHk HHkF)+E[tr(FHEHEF)]
so that it is possible to obtain:
gradient of the mean square error of the F:
let the above equation equal zero, the optimal solution for F can be obtained:
Foptis a global minimum, i.e. the minimum under the base station.
To satisfy the power constraint, FoptRequiring a homogenization treatment and based on said F after the homogenization treatmentoptThe mean square deviation σ' of (a) satisfies:
wherein λ isiIs a non-zero eigenvalue of the full channel covariance matrix; the full channel covariance matrix HcovSatisfies the following conditions:
further, in case that the channel state information is considered to be incomplete, the improved SLNR may be expressed as:
SLNR'kis the improved SLNR;an extended channel matrix is obtained for the user k after considering the incomplete channel state information improvement, and:
the optimal coding matrix for improved SLNR precoding is available with the generalized reiliant:
where max ev is the maximum eigenvector calculation.
Thus, an improved channel estimation matrix and an optimal precoding matrix are obtained.
Example two
The existing precoding method generally adopts a scheme that a transmitting end distributes equal power to each user to distribute power for the users. However, in an actual wireless communication system, the Channel State Information (CSI) quality of each user is generally different. For a MIMO system, the average error rate of all users is determined by the worst error rate of the users. The improvement significance for users with better signal-to-noise ratio is not great, so that the equal power distribution scheme for improving the distribution power to reduce the bit error rate is not economical.
Therefore, the present invention also provides a power allocation method, which increases the transmission power to the worst user by increasing, so as to improve the overall channel quality. The specific method comprises the following steps: the base station assigns based on the improved SLNR value for each user; the power allocated to each user k is inversely proportional to the improved SLNR value for that user k, as follows:
wherein, SLNR'kImproved SLNR values or said optimal precoding moments calculated for said improved SLNR based MU-MIMO precoding methodArraying; p is a radical oftThe total transmission power of the base station where the user k is located; p is a radical ofkThe power allocated for the user k.
The foregoing detailed description of the preferred embodiments of the invention has been presented. It should be understood that numerous modifications and variations could be devised by those skilled in the art in light of the present teachings without departing from the inventive concepts. Therefore, the technical solutions available to those skilled in the art through logic analysis, reasoning and limited experiments based on the prior art according to the concept of the present invention should be within the scope of protection defined by the claims.
Claims (4)
1. A MU-MIMO system precoding method based on improved SLNR is characterized in that a least mean square error method based on eigenvector is adopted to improve and estimate a channel matrix, and the specific steps comprise:
the improved equivalent channel matrix based on the estimated channel matrix satisfiesWhere F is the channel modification matrix, H'kFor the equivalent channel matrix for user k,the estimated channel matrix for the user k;
the channel modification matrix F is:
F=argminE[||Hk-H’k||2],
wherein E [ ] is the expected calculation; calculating | | as a norm of the matrix;
solving the F by making the gradient of the mean square error of the F equal to zero, wherein the concrete process is as follows:
σ2=E[||Hk-HkF+EF||2]
=E[tr[(Hk-HkF+EF)H(Hk-HkF+EF)]]
=tr(Hk HHk)-2Re{tr(Hk HHkF)}+tr(FHHk HHkF)+E[tr(FHEHEF)],
where E is the estimation error matrix, HkA channel matrix containing complete channel information for the user k;
wherein M iskThe number of receive antennas for the user k,is the mean square error of the estimation error matrix E;
this gives:
gradient of the mean square error of the F:
let the gradient of the mean square error of F be equal to zero, the optimal solution of F can be obtained:
wherein FoptIs a global minimum;
based on the F after homogenization treatmentoptThe mean square deviation σ' of (a) satisfies:
wherein λ isiIs a non-zero eigenvalue of the full channel covariance matrix;
the improved SLNR can be expressed as:
SLNR′kis the improved SLNR, INAn identity matrix of NxN; σ' is the minimum mean square error of the channel modification matrix normalization,extended channel matrix, w, for user k after taking incomplete channel state information into accountkA precoding matrix for the user k, and:
obtaining the optimal coding matrix of the improved SLNR pre-coding by utilizing the generalized Rayleigh:
wherein maxEV is the maximum feature vector calculation;
thus, an improved estimated channel matrix and an optimal precoding matrix are obtained.
3. the improved SLNR-based MU-MIMO system precoding method of claim 2, wherein the estimation error matrix E is a zero-mean circularly symmetric complex gaussian variable.
4. A MU-MIMO power distribution method based on improved SLNR is characterized in that a base station distributes based on the improved SLNR value of each user; the power allocated to each user k is inversely proportional to the improved SLNR value for that user k, as follows:
wherein, SLNR'kAn improved SLNR value or said optimal precoding matrix calculated for a method according to any of claims 1-3; p is a radical oftThe total transmission power of the base station where the user k is located; p is a radical ofkThe power allocated for the user k.
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CN102185683A (en) * | 2010-07-29 | 2011-09-14 | 东南大学 | Signal-to-leakage-and-noise ratio (SLNR) rule statistic-based MIMO (Multiple Input Multiple Output) multi-user downlink transmission method |
CN101984571A (en) * | 2010-11-09 | 2011-03-09 | 北京邮电大学 | Pre-coding method for multi-user MIMO system |
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