CN100550682C - Determine antenna selecting plan, detection signal, signal noise interference ratio calculating method - Google Patents

Determine antenna selecting plan, detection signal, signal noise interference ratio calculating method Download PDF

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CN100550682C
CN100550682C CNB2006101040497A CN200610104049A CN100550682C CN 100550682 C CN100550682 C CN 100550682C CN B2006101040497 A CNB2006101040497 A CN B2006101040497A CN 200610104049 A CN200610104049 A CN 200610104049A CN 100550682 C CN100550682 C CN 100550682C
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antenna
transmitting antenna
transmitting
mean square
square error
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CN1889382A (en
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朱胡飞
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Huawei Technologies Co Ltd
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Abstract

The invention discloses the method for in multiple antenna communication, determining antenna selecting plan, this method comprises: utilize the evaluated error covariance matrix recursion of less transmitting antenna to obtain mean square error correlated variables than multiple transmit antennas, utilize described mean square error the correlated variables relatively received signal and the interference-to-noise ratio SINR of the selected transmitting antenna of all antenna selecting plans, and determine antenna selecting plan according to the result who compares SINR.The invention also discloses the method for detection signal in multiple antenna communication, this method comprises: utilize the evaluated error covariance matrix that compares the transmitting antenna that obtains in the SINR process, calculate each detected estimated value that transmits.The invention also discloses and in multiple antenna communication, calculate the method that receives SINR.According to method disclosed by the invention, reduced definite antenna selecting plan, detection signal and the computation complexity that calculates reception SINR.

Description

Determine antenna selecting plan, detection signal, signal noise interference ratio calculating method
Technical field
The present invention relates to multiple-input, multiple-output (MIMO) wireless communication technology, be meant a kind of method of in multi-antenna digital wireless communication system, determining antenna selecting plan especially, the method for detection signal, and the method for calculating received signal and noise interference.
Background technology
According to information theory, at the transmitting terminal and the receiving terminal of communication system, perhaps these two ends use multi-antenna array can improve transmission bit rate greatly simultaneously.
The wireless communication system with Space-Time framework that uses multi-antenna array simultaneously at transmitting terminal and receiving terminal as shown in Figure 1.This system works is at the Rayleigh scattering environment, and each element of channel matrix can be similar to regards that statistics independently as.In system shown in Figure 1, a data sequence is divided into M incoherent code element subsequence, and each subsequence is by an emission in M the transmitting antenna.M subsequence received by N reception antenna at receiving terminal after the influence of the channel that is H through a channel matrix.S emission signal s 1..., s MPass through M different antenna element a-1 respectively ..., a-M emission, corresponding received signal x 1..., x NRespectively from N different antenna element b-1 ..., b-N receives.In this system, it is 2 that transmission antenna unit is counted M minimum, and reception antenna unit number N minimum be M.Channel matrix H is the matrix of a N * M, and i reception antenna of element representation of the capable j of i row and j transmitting antenna are by the coupling of transmission channel in the matrix.Received signal x 1..., x NProcessed to produce transmitting of recovering in digital signal processor
Figure C20061010404900101
Also shown summation composition c-1 among this figure, c-2 ..., c-N, the unavoidable noise signal w that their representatives comprise 1, w 2..., w N, these noise signals join reception antenna unit b-1 respectively, b-2 ..., in the signal that b-N receives.
In mimo system shown in Figure 1, can use communication plan with day line options.In the mimo system that day line options is arranged, need in all transmitting antennas, select several transmitting antennas to be used to transmit.In the selection course of transmitting antenna, the received signal and the interference-to-noise ratio (SINR that need selected each transmitting antenna under the more various emitting antenna selecting schemes, Signal toInterference-Noise Ratio), and, determine antenna selecting plan according to certain criterion according to comparative result; In some cases, adopt such as transmitting terminal under the situation of Adaptive Modulation, also need to calculate the reception SINR of selecteed each transmitting antenna under the emitting antenna selecting scheme that institute determines to adopt, with the modulation system of definite selecteed each transmitting antenna employing.Described SINR be with signal power divided by noise power and other signal interference power with, resulting ratio.
At present, have in the mimo system of day line options, signal processing comprises following step:
Step 201: receiving terminal utilizes received signal to carry out channel estimating, obtains the channel matrix H of being made up of the channel coefficients between transmitting antenna and the reception antenna.
Step 202: according to the channel situation of current time, promptly utilize channel matrix H, from all possible emitting antenna selecting scheme,, select the emitting antenna selecting scheme of an optimum according to the criterion of a communication plan.
The described scheme of an optimum of selecting from all possible emitting antenna selecting scheme is meant, consider all possible emitting antenna selecting scheme, or consider a subclass of all possible emitting antenna selecting scheme, and do not consider for those in most of the cases impossible optimum emitting antenna selecting schemes to reduce the number of the antenna selecting plan that needs consideration, by the reception SINR of the more described all or part of possible selected transmitting antenna of antenna selecting plan that is considered of effective ratio.The reception SINR of the described selected transmitting antenna of antenna selecting plan that is considered by effective ratio selects the antenna selecting plan of an optimum, can carry out at transmitting terminal, also can carry out at receiving terminal, also can be finished jointly by transmitting terminal and receiving terminal.
If carry out the selection of optimal antenna selection scheme at transmitting terminal, then the receiving terminal feedback is about the information of the reception SINR of each scheme; If carry out the selection of optimal antenna selection scheme at receiving terminal, then receiving terminal is to the information of the selected optimal antenna selection scheme of transmitting terminal feedback; If finish the selection of optimal antenna selection scheme jointly by transmitting terminal and receiving terminal, the then several antenna selecting plans chosen to transmitting terminal feedback receiving terminal of receiving terminal and the information of correlation reception SINR, transmitting terminal is selected a best antenna selecting plan again.
At the mimo system that day line options is arranged, multiple communication motion is arranged at present, the different communication plans that day line options is arranged is provided respectively, for example,, consider from all transmitting antennas, to get individual arbitrarily combination at the communication plan that Adaptive Modulation is arranged, or its subclass; At the communication plan that does not have Adaptive Modulation, need to consider from all transmitting antennas, to get individual arbitrarily arrangement, or its subclass; In the communication plan that the virtual-antenna technology is arranged, need to consider from all virtual transmitting antennas, to select combination in any.
Step 203: transmitting terminal is determined according to determined emitting antenna selecting scheme, to transmit to receiving terminal after the optimum emitting antenna selecting scheme.
Step 204: receiving terminal obtains the emitting antenna selecting scheme that transmitting terminal adopts, and detects that step 203 is described to transmit.
In the communication system that day line options is arranged, a key technology is that the reception SINR by each transmitting antenna under the more various antenna selecting plans determines antenna selecting plan.In the communication plan that existing communication motion is proposed, all be to determine concrete which kind of antenna selecting plan of selecting according to the reception SINR under the various antenna selecting plans.
Be to calculate by the method that channel matrix H is inverted and receive SINR and calculate the method that receives SINR in the prior art.
For example; At the document " Comparison of ordered successive receivers for space-time transmission " of the IEEE of calendar year 2001 Vehicular Technology Conference and IEEE Intelligent Signal Processing and Communication Systems in 2004, the method that has proposed respectively in the document of Proceedings of 2004 International Symposium " Transmit antennaselection for MIMO systems with V-BLAST type detection " to invert with channel matrix H is calculated the formula that receives SINR.
The motion 3 of document 3GPP TR 25.876 V1.7.1 (Proposal 3:Double Space TimeTransmit Diversity with Sub-Group Rate Control (DSTTD-SGRC) for 2 or morereceive antennas) has also provided calculates the formula that receives SINR, for SINR 1 = g 1 ′ ( g 3 g 3 ′ + g 4 g 4 ′ + 1 ρ I ) - 1 g 1 , SINR 2=ρ g ' 3g 3, g wherein i(i=1,2,3,4) are the vectors that the item in the channel matrix H is formed, and ρ is the constant relevant with the SINR that transmits.This as can be seen method also needs corresponding channel matrix H is inverted.
See that from the formula of above calculating reception SINR it is all very high to calculate the computation complexity that receives SINR by the method that corresponding channel matrix H is inverted.When the many and channel matrix H of number of transmit antennas was bigger, the matrix inversion algorithm was more complicated, and calculating the complexity that receives SINR also can be higher.Therefore, when determining antenna selecting plan by the method that relatively receives SINR in the prior art, needed computation complexity is all too high.
Especially, there is the mimo system of day line options to need more multiple antenna selecting plan usually to determine optimum antenna selecting plan.Need to consider the assembled scheme of multiple day line options in the common communication motion, these schemes that need consider are directly proportional with the number of transmitting antenna.If still adopt above-mentioned method to corresponding channel matrix H inversion calculation reception SINR, need invert to each corresponding channel matrix H of multiple antenna selecting plan, calculate to receive SINR, therefore, realize having the computation complexity of the communication plan of day line options will be very high.
In the communication system that day line options is arranged, another key technology is the detection of signal.
Utilize the communication plan that day line options is arranged more than the existing techniques in realizing, generally can not utilize during detection signal and calculate the intermediate object program that receives in the SINR process, but utilize the channel matrix H estimated value of calculating to transmitting in addition.
In sum, at the communication plan that day line options is arranged, also there is not high efficiency implementation method.
Summary of the invention
In view of this, first main purpose of the present invention is to provide a kind of method of determining antenna selecting plan in multiple antenna communication, reduces the computation complexity of determining antenna selecting plan.
Second main purpose of the present invention be to provide a kind of in multiple antenna communication the method for detection signal, reduce the computation complexity of detection signal.
The 3rd main purpose of the present invention is to provide a kind of method that receives SINR of calculating in multiple antenna communication, reduce the computation complexity that calculates SINR.
In order to reach above-mentioned first purpose, the invention provides a kind of method of in multiple antenna communication, determining antenna selecting plan, transmit and launched respectively and arrived the reception antenna of receiving terminal through the channel matrix channel that is H by each different transmitting antenna of transmitting terminal, this method may further comprise the steps:
A. obtain the channel matrix H of forming by the channel coefficients between transmitting antenna and the reception antenna;
B. calculate the mean square error correlated variables of the selected transmitting antenna of each antenna selecting plan of the required consideration of communication plan of current employing, utilize the received signal and the interference-to-noise ratio SINR of selected each transmitting antenna of each antenna selecting plan of the required consideration of the more described communication plan of mean square error correlated variables that is calculated, according to the comparative result that receives SINR, determine antenna selecting plan;
The calculation procedure of described mean square error correlated variables comprises: utilize channel matrix H to calculate described mean square error correlated variables; Perhaps, utilize channel matrix H to calculate the evaluated error covariance matrix of the part transmitting antenna in selected all transmitting antennas of antenna selecting plan, utilize the evaluated error covariance matrix of channel matrix H and the part transmitting antenna that calculated then, recursion is tried to achieve and is comprised described part transmitting antenna and the number mean square error correlated variables more than the transmitting antenna of described part number of transmit antennas.
The described relatively step of the reception SINR of selected each transmitting antenna of antenna selecting plan of the required consideration of communication plan of step b comprises:
The mean square error correlated variables of the transmitting antenna that the antenna selecting plan that b11. utilizes channel matrix H to calculate selection first number transmitting antenna in all transmitting antennas can be selected, utilize the mean square error correlated variables that is calculated, the reception SINR of each transmitting antenna that the antenna selecting plan of more described selection first number transmitting antenna can be selected, definite antenna selecting plan of selecting first number transmitting antenna; Calculate the evaluated error covariance matrix of the selected transmitting antenna of antenna selecting plan of determined selection first number transmitting antenna;
B12. the evaluated error covariance matrix that utilizes the step b12 in step b11 or the last recursion to obtain, recursion calculate to select to comprise the mean square error correlated variables of the transmitting antenna that described first number transmitting antenna and number can be selected greater than the antenna selecting plan of second number transmitting antenna of first number, utilize the mean square error correlated variables that is calculated, the reception SINR of each transmitting antenna that the antenna selecting plan of more described selection second number transmitting antenna can be selected, definite antenna selecting plan of selecting second number transmitting antenna; Calculate the evaluated error covariance matrix of the selected transmitting antenna of antenna selecting plan of determined selection second number transmitting antenna; If relatively the reception SINR of the selected transmitting antenna of all antenna selecting plans, then process ends; Otherwise, make the value of first number equal the value of second number after, the value of second number adds 1 or greater than 1 integer value, returns step b12.
The described relatively step of the reception SINR of selected each transmitting antenna of antenna selecting plan of the required consideration of communication plan of step b comprises:
B21. when the reception SINR of selected each transmitting antenna of antenna selecting plan Mode-1 scheme of relatively selecting 1 transmitting antenna, receiving terminal utilizes channel matrix H to calculate 1 transmitting antenna p that the Mode-1 scheme can be selected 1The mean square error correlated variables, utilize the reception SINR of the selected transmitting antenna of the more described Mode-1 scheme of resulting mean square error correlated variables, determine to select in the Mode-1 scheme transmitting antenna t 1Calculate described transmitting antenna t 1The evaluated error covariance matrix;
B22. when the reception SINR of selected each transmitting antenna of antenna selecting plan Mode-m scheme of relatively selecting m transmitting antenna, utilize the evaluated error covariance matrix of m-1 transmitting antenna in the selected m of the Mode-m scheme transmitting antenna, recursion is calculated m the transmitting antenna p that the Mode-m scheme can be selected 1..., p mThe mean square error correlated variables, utilize the relatively reception SINR of each transmitting antenna that can select of Mode-m scheme of described mean square error correlated variables, determine selection transmitting antenna t in the Mode-m scheme 1..., t mCalculate this m transmitting antenna t 1..., t mThe evaluated error covariance matrix; If relatively the reception SINR of each transmitting antenna under all antenna selecting plans, then process ends; Otherwise the value of m adds 1, returns step b22;
Wherein, the initial value of m is made as 2.
1 transmitting antenna p that the described Mode-1 scheme of step b21 can be selected 1For: any one transmitting antenna in all transmitting antennas;
Select transmitting antenna t in the described definite Mode-1 scheme of step b21 1For: compare the transmitting antenna p that each Mode-1 scheme can be selected 1Reception SINR, be defined as the transmitting antenna t that selects in the described Mode-1 scheme with receiving the best selected transmitting antenna of Mode-1 scheme of SINR 1
M the transmitting antenna p that the described Mode-m scheme of step b22 can be selected 1..., p mFor: t 1..., t M-1, p m, wherein, transmitting antenna t 1..., t M-1Determine the best selected m-1 of Mode-(m-1) the scheme transmitting antenna of reception SINR of selection for the step b22 of step b21 or last recursion; p mBeing m transmitting antenna, is to remove described m-1 transmitting antenna t from all transmitting antennas 1..., t M-1After any one transmitting antenna in the transmitting antenna set that obtains;
Determine m transmitting antenna t of selection in the described Mode-m scheme of step b22 1..., t mSatisfy: described m transmitting antenna t 1..., t mIn m-1 the transmitting antenna step b22 that is step b21 or last recursion determine the best selected transmitting antenna t of Mode-(m-1) scheme of reception SINR that selects 1..., t M-1There is m-1 transmitting antenna t 1..., t M-1The situation of interference under, each Mode-m scheme transmitting antenna p that can select relatively mReception SINR, determine selected transmitting antenna p mThe best Mode-m scheme of reception SINR, selected transmitting antenna p mThe best selected transmitting antenna of Mode-m scheme of reception SINR be described m transmitting antenna t 1..., t mIn m transmitting antenna t m
Further comprise before the described step b: utilize channel matrix H to obtain the inverse matrix R of the evaluated error covariance matrix of all transmitting antennas;
The described calculating transmitting antenna of step b21 p 1The step of mean square error correlated variables comprise: in the R matrix, obtain transmitting antenna p 1The inverse matrix of evaluated error covariance matrix
Figure C20061010404900161
Utilize resulting
Figure C20061010404900162
Calculate transmitting antenna p 1The mean square error correlated variables;
The described calculating transmitting antenna of step b22 p mThe step of mean square error correlated variables comprise: in the R matrix, obtain transmitting antenna t 1..., t M-1, p mThe inverse matrix of evaluated error covariance matrix
Figure C20061010404900163
In a vector
Figure C20061010404900164
With a scalar Utilize a resulting vector
Figure C20061010404900166
A scalar And Mode-(m-1) scheme is determined the transmitting antenna t of selection 1..., t M-1The evaluated error covariance matrix calculate transmitting antenna p mThe mean square error correlated variables.
The mean square error correlated variables of described transmitting antenna is: comprise in the evaluated error covariance matrix of this transmitting antenna the diagonal entry corresponding with this transmitting antenna.
The described utilization of step b21
Figure C20061010404900168
The transmitting antenna p that calculates 1The mean square error correlated variables be: Inverse be transmitting antenna p 1The mean square error correlated variables
Figure C200610104049001610
The described matrix that in the R matrix, obtains of step b22
Figure C200610104049001611
In a vector
Figure C200610104049001612
With a scalar
Figure C20061010404900171
For: the transmitting antenna t that determines selection in Mode-(m-1) scheme 1..., t M-1The inverse matrix of evaluated error covariance matrix
Figure C20061010404900172
The basis on, matrix
Figure C20061010404900173
One and transmitting antenna t being increased 1..., t M-1, p mRelevant vector
Figure C20061010404900174
With one and transmitting antenna p mRelevant scalar
Figure C20061010404900175
The described utilization of step b22
Figure C20061010404900176
In a vector
Figure C20061010404900177
A scalar
Figure C20061010404900178
And Mode-(m-1) scheme is determined the transmitting antenna t of selection 1..., t M-1The evaluated error covariance matrix
Figure C20061010404900179
Calculate transmitting antenna p mThe mean square error correlated variables be: at first calculate
Figure C200610104049001710
Sherman-Morrison result Then by
Figure C200610104049001712
And
Figure C200610104049001713
Calculate transmitting antenna p mThe mean square error correlated variables Wherein, ( Q m ( p m ) ) ( m ) ( m ) = 1 β 1 ( p m ) + ( v m - 1 ( p m ) ) H ( T m - 1 ( p m ) ) - 1 v m - 1 ( p m ) ( β 1 ( p m ) ) 2 .
When described communication plan need be calculated reception SINR,
The described transmitting antenna p that utilizes of step b21 1The mean square error correlated variables
Figure C200610104049001716
Calculate transmitting antenna p 1Reception SINR be: Or
Figure C200610104049001718
The described transmitting antenna p that utilizes of step b22 mThe mean square error correlated variables
Figure C200610104049001719
Calculate the selected transmitting antenna p of each antenna selecting plan that selects m transmitting antenna 1..., p mMiddle transmitting antenna p mReception SINR be:
Figure C200610104049001720
Or
Figure C200610104049001721
Wherein, || || the mould of expression plural number, α are the relevant constant of average received signal to noise ratio on each reception antenna.
The described calculating transmitting antenna of step b22 t 1..., t mThe evaluated error covariance matrix be:
Figure C200610104049001722
The basis on, increase by matrix
Figure C200610104049001723
Vector
Figure C200610104049001724
And scalar
Figure C200610104049001725
Row and a delegation that forms obtains m transmitting antenna t 1..., t mThe evaluated error covariance matrix
Figure C200610104049001726
The item that one row and delegation intersect is transmitting antenna t mThe mean square error correlated variables ( Q m ( t m ) ) ( m ) ( m ) = 1 β 1 ( t m ) + ( v m - 1 ( t m ) ) H ( T m - 1 ( t m ) ) - 1 v m - 1 ( t m ) ( β 1 ( t m ) ) 2 , Other of one row is
Figure C200610104049001728
Other of delegation is
Figure C200610104049001729
The mean square error correlated variables of described transmitting antenna is: comprise that the diagonal entry corresponding with this transmitting antenna has the value of functional relation in the evaluated error covariance matrix of this transmitting antenna.
In order to reach above-mentioned second purpose, the invention provides a kind of in multiple antenna communication the method for detection signal, transmit and launch respectively and be H through a channel matrix channel arrives receiving terminal that this method may further comprise the steps by each different transmitting antenna of transmitting terminal:
X. obtain the channel matrix H of forming by the channel coefficients between transmitting antenna and the reception antenna;
Y. calculate the mean square error correlated variables of the selected transmitting antenna of each antenna selecting plan of the required consideration of communication plan of current employing, utilize the received signal and the interference-to-noise ratio SINR of selected each transmitting antenna of each antenna selecting plan of the required consideration of the more described communication plan of mean square error correlated variables that is calculated, according to the comparative result that receives SINR, determine antenna selecting plan;
The calculation procedure of described mean square error correlated variables comprises: utilize channel matrix H to calculate described mean square error correlated variables; Perhaps, utilize channel matrix H to calculate the evaluated error covariance matrix of the part transmitting antenna in selected all transmitting antennas of antenna selecting plan, utilize the evaluated error covariance matrix of channel matrix H and the part transmitting antenna that calculated then, recursion is tried to achieve and is comprised described part transmitting antenna and the number mean square error correlated variables more than the transmitting antenna of described part number of transmit antennas;
Z. utilize the evaluated error covariance matrix of the selected transmitting antenna of resulting antenna selecting plan in definite antenna selecting plan process of step y, detect the signal of the selected transmission antennas transmit of determined antenna selecting plan.
The described relatively step of the reception SINR of selected each transmitting antenna of antenna selecting plan of the required consideration of communication plan of step y comprises:
Y1. when the reception SINR of selected each transmitting antenna of antenna selecting plan Mode-1 scheme of relatively selecting 1 transmitting antenna, receiving terminal utilizes channel matrix H to calculate 1 transmitting antenna p that the Mode-1 scheme can be selected 1The mean square error correlated variables, utilize the reception SINR of the selected transmitting antenna of the more described Mode-1 scheme of resulting mean square error correlated variables, determine to select in the Mode-1 scheme transmitting antenna t 1Calculate described transmitting antenna t 1The evaluated error covariance matrix;
Y2. when the reception SINR of selected each transmitting antenna of antenna selecting plan Mode-m scheme of relatively selecting m transmitting antenna, utilize the evaluated error covariance matrix of m-1 transmitting antenna in the selected m of the Mode-m scheme transmitting antenna, recursion is calculated m the transmitting antenna p that the Mode-m scheme can be selected 1..., p mThe mean square error correlated variables, utilize the relatively reception SINR of each transmitting antenna that can select of Mode-m scheme of described mean square error correlated variables, determine selection transmitting antenna t in the Mode-m scheme 1..., t mCalculate this m transmitting antenna t 1..., t mThe evaluated error covariance matrix; If relatively the reception SINR of each transmitting antenna under all antenna selecting plans, then process ends; Otherwise the value of m adds 1, returns step b22;
Wherein, the initial value of m is made as 2.
Further comprise before the described step z: utilize the channel matrix H of the selected transmitting antenna correspondence of determined antenna selecting plan to carry out the pre-matching filtering transformation to received signal; The cross-correlation channel matrix Φ of calculating channel matrix H, Φ=H HH;
Described step z comprises:
Z1. from definite antenna selecting plan process of step y, directly obtain the evaluated error covariance matrix that transmits to be detected in the evaluated error covariance matrix of the selected transmitting antenna of resulting each antenna selecting plan, utilize the pre-matching filtering result of resulting evaluated error covariance matrix that transmits to be detected and described received signal to obtain a described current detected estimated value that transmits;
Z2. utilize the cross-correlation channel matrix Φ of a described current detected estimated value that transmits and channel matrix H to calculate transmitting of having detected to detecting the interference value of subsequent transmission signal, and the interference that transmits that elimination has detected from the pre-matching filtering result of described received signal, the pre-matching filtering result of the received signal that obtains revising;
Z3. repeating step z1, z2, the signal of selected transmission antennas transmit in detecting described determined antenna selecting plan.
In order to reach above-mentioned the 3rd purpose, the invention provides a kind of method that receives SINR of in multiple antenna communication, calculating, be used to calculate reception SINR to a particular transmit antenna of transmitting terminal, there is the interference of other one or more transmitting antennas in described particular transmit antenna, transmit and launched respectively as the transmitting antennas that disturb and arrived receiving terminal through the channel that a channel matrix is H by this particular transmit antenna and described one or more, this method comprises:
L, obtain by this particular transmit antenna and the described channel matrix H that one or more are formed as the transmitting antenna that disturbs and the channel coefficients between the reception antenna;
M, calculate mean square error correlated variabless of this particular transmit antenna and the described transmitting antenna set that one or more are formed as the transmitting antenna that disturbs; The calculation procedure of described mean square error correlated variables comprises: utilize channel matrix H to calculate described mean square error correlated variables; Perhaps, utilize channel matrix H to calculate this particular transmit antenna and described one or more evaluated error covariance matrixes as the part transmitting antenna of the transmitting antenna set of the transmitting antenna composition that disturbs, utilize the evaluated error covariance matrix of channel matrix H and the part transmitting antenna that calculated then, recursion is tried to achieve and is comprised described part transmitting antenna and the number mean square error correlated variables more than the transmitting antenna of described part number of transmit antennas;
N, utilize the item corresponding in evaluated error covariance matrixes of resulting this particular transmit antenna in the process of the described mean square error correlated variables of calculating of step m and the described transmitting antenna set that one or more are formed as the transmitting antenna that disturbs, calculate the reception SINR of particular transmit antenna with described particular transmit antenna.
The reception SINR of described calculating particular transmit antenna is: utilize in the evaluated error covariance matrix and corresponding item of described particular transmit antenna and the relevant constant of average received signal to noise ratio on each reception antenna, calculate reception SINR.
The reception SINR of described calculating particular transmit antenna is: calculate in the described evaluated error covariance matrix and corresponding item of described particular transmit antenna and relevant the amassing of constant of average received signal to noise ratio on each reception antenna, resulting product subtracts 1 after getting inverse again, obtains the reception SINR of this particular transmit antenna; Perhaps, calculate in the described evaluated error covariance matrix and corresponding item of described particular transmit antenna and relevant the amassing of constant of average received signal to noise ratio on each reception antenna, resulting product subtracts 1 after getting back reciprocal delivery again, obtains the reception SINR of this particular transmit antenna.
The reception SINR of described calculating particular transmit antenna is: calculate the item corresponding with described particular transmit antenna in this evaluated error covariance matrix and the product of the noise variance on the reception antenna, obtain the mean square error of described particular transmit antenna transmit in the receiving terminal estimated value, variance of calculating this transmitting antenna then and being transmitted and described particular transmit antenna transmit are the merchant of the mean square error of receiving terminal estimated value, resulting merchant subtracts 1, obtains the reception SINR of this particular transmit antenna; Perhaps, calculate the item corresponding in this evaluated error covariance matrix and the product of the noise variance on the reception antenna with described particular transmit antenna, obtain the mean square error of described particular transmit antenna transmit in the receiving terminal estimated value, variance of calculating this transmitting antenna then and being transmitted and described particular transmit antenna transmit are the merchant of the mean square error of receiving terminal estimated value, subtract 1 again behind resulting merchant's delivery, obtain the reception SINR of this particular transmit antenna.
According to definite antenna selecting plan provided by the invention, when determining antenna selecting plan, calculate the mean square error correlated variables of the transmitting antenna that each antenna selecting plan can select, thereby utilize the relatively definite antenna selecting plan of SINR of each transmitting antenna of mean square error correlated variables, wherein the mean square error correlated variables is that recurrence method by a kind of evaluated error covariance matrix from few transmitting antenna to many transmitting antennas calculates, and reduces a lot of amounts of calculation thus.And detection signal method provided by the invention is to have made full use of resulting evaluated error covariance matrix detection signal in definite antenna selecting plan process, can directly obtain estimated value, thereby reduce the complexity of calculating detection signal transmitting.The method of calculating reception SINR provided by the invention avoids having used the method to channel matrix inversion, calculate reception SINR but utilize in the evaluated error covariance matrix with the corresponding item that transmits, this method does not need matrix inversion, calculates the computation complexity that receives SINR thereby reduced.
Description of drawings
Figure 1 shows that multi-antenna digital wireless communication system block diagram in the prior art;
Figure 2 shows that signal processing flow figure in the mimo system that day line options is arranged in the prior art;
Figure 3 shows that the initialization flowchart of selecting first transmitting antenna among the present invention in the antenna selecting plan;
Figure 4 shows that antenna selecting plan recursion flow chart among the present invention;
Figure 5 shows that the flow chart of receiving terminal detection signal among the present invention.
Embodiment
For making the purpose, technical solutions and advantages of the present invention clearer, lift specific embodiment below, the present invention is further detailed explanation.
The present invention uses multi-antenna digital wireless communication system shown in Figure 1, s emission signal s 1..., s MPass through M different transmission antenna unit a-1 respectively ..., the a-M emission; Corresponding received signal x 1..., x NRespectively from N different reception antenna unit b-1 ..., b-N receives.
Mention in the paper of IEEE periodical IEEE Transactions on Signal Processing " A FastRecursive Algorithm for Optimum Sequential Signal Detection in a BLASTSystem ": channel matrix H is the matrix of a N * M, is expressed as:
Figure C20061010404900211
Channel matrix H is a N * M complex matrix, supposes that this channel matrix is a constant in the period of K symbol.Vector h N:(n=1,2 ..., N) and h : m(m=1,2 ..., length M) is respectively M and N.Wherein, the channel vector h that comprises of channel matrix H : 1To h : MRepresent the influence of channel respectively to each transmission signals in M the transmission signals.Clearer and more definite, channel vector h : m(m=1,2 ..., M) comprise channel matrix entry
Figure C20061010404900221
Extremely
Figure C20061010404900222
Be illustrated respectively among the reception antenna unit b-1 to b-N on each reception antenna, channel is to s emission signal s mInfluence.
In system shown in Figure 1, satisfy relational expression between the vector that transmits and the vector of received signal x ( k ) = Σ m = 1 M h : m s m ( k ) + w ( k ) = Hs ( k ) + w , Wherein k represents sampling instant, k=1, and 2 ..., K.
Represent that with vector form above-mentioned relation is x → = Σ m = 1 M h : m s m + w → = H s → + w → .
Again following formula is written as x → = s 1 · h : 1 + s 2 · h : 2 + . . . + s m · h : m + . . . + s M · h : M + w → Form, can be clearly seen that each vector that transmits to received signal Influence.
Wherein, x → = [ x 1 , x 2 , . . . , x N ] T Be N dimension received signal vector, s → = [ s 1 , s 2 , . . . , s M ] T Be M dimension emission signal vector, w → = [ w 1 , w 2 , . . . , w N ] T Be additive white Gaussian noise (AWGN) vector of a zero-mean plural number, its variance R ww = E { w → · w → H } = σ w 2 I N × N . Wherein, TWith HThe transposition and the conjugate transpose that divide other representing matrix or vector, I N * NExpression N * N unit matrix.Wherein, suppose additive noise
Figure C200610104049002211
All add up independent in time-domain and spatial domain.Suppose s emission signal s 1, s 2..., s MBe incoherent, this means emission signal vector
Figure C200610104049002212
Cross-correlation matrix be the diagonal angle, promptly R ss = E { s → · s → H } = σ s 2 I M × M .
The least mean-square error that transmits (MMSE) is estimated as s → ^ = ( H H · H + α I M × M ) - 1 H H x → . Wherein, symbol -1The inverse of a matrix matrix is asked in expression, HExpression ask the conjugate transpose of matrix, α be with each reception antenna on the relevant constant of average received signal to noise ratio, α = σ w 2 σ s 2 . Wherein, σ w 2Being the noise variance on the reception antenna, is the additive white Gaussian noise vector of zero-mean plural number In every variance; σ s 2Be the variance that each transmitting antenna transmitted.
Evaluated error e = s → - s → ^ Covariance matrix be E { ( s → - s → ^ ) ( s → - s → ^ ) H } = σ w 2 ( H H · H + α I M × M ) - 1 . If noise variance σ w 2Be normalized to 1, then evaluated error e = s → - s → ^ Covariance matrix be E { ( s → - s → ^ ) ( s → - s → ^ ) H } = ( H H · H + α I M × M ) - 1 .
Evaluated error covariance matrix of the present invention is for being normalized to the variance of additive white Gaussian noise the evaluated error covariance matrix under 1 the situation.Below, evaluated error covariance matrix of the present invention is designated as P, P=(H HH+ α I M * M) -1, and definition R=(H HH+ α I M * M), then R is the inverse matrix of evaluated error covariance matrix, P=R -1
This paper selects the antenna selecting plan of m transmitting antenna with " Mode-m " expression from all transmitting antennas of transmitting terminal, m=1 wherein, and 2 ..., M.
The motion 7 of document 3GPP TR 25.876 V1.7.1 provides a kind of MIMO communication plan that comprises day line options in (Proposal 7, " Selective Per AntennaRate Control (S-PARC) ").In the motion 7, only consider to have the antenna selecting plan of " subset of attribute (subset property) ".Receiving terminal is in all Mode-m antenna selecting plans, select a receiving terminal to think more excellent and it received SINR to feed back to transmitting terminal, and in the Mode-m antenna selecting plan, the transmitting antenna of m-1 wherein, be exactly to be received the selected m-1 of an antenna selecting plan transmitting antenna holding the Mode-(m-1) that thinks more excellent and select, when selecting m transmitting antenna, any one transmitting antenna in the transmitting antenna set that obtains behind the selected m-1 of the antenna selecting plan transmitting antenna of described chosen Mode-(m-1) is removed in consideration from all M transmitting antenna, total M-m+1 kind antenna selecting plan, calculate the reception SINR of m transmitting antenna under the M-m+1 kind antenna selecting plan of selecting m transmitting antenna, which transmitting antenna decision selects thus, determine the Mode-m antenna selecting plan, wherein m gets 1,2, ..., the arbitrary value among the M.
Below in system shown in Figure 1, be example with the communication plan that day line options is arranged of motion 7, be described in detail in the method that high efficiency in the mimo system of day line options realizes determining antenna selecting plan and input.Fig. 3 and Fig. 4 are the high efficiency implementation method that the present invention is directed to the sky line options communication plan of motion 7.
Figure 3 shows that the initialization flowchart of selecting first transmitting antenna in the antenna selecting plan, comprise following step:
Step 301: receiving terminal carries out channel estimating according to received signal, obtains the channel matrix H of being made up of a plurality of channel coefficients between M transmitting antenna and N the reception antenna.
Select the number of transmitting antenna to represent with variable m.At first, m is initialized as 1.
Step 302: utilize channel matrix H to try to achieve the cross-correlation channel matrix Φ of H=(H) earlier HH tries to achieve R=H by the relation between the inverse matrix R of Φ and the evaluated error covariance matrix that transmits again HH+ α I M * M=Φ+α I M * MIn this step, can utilize channel matrix H directly to ask R.
Figure C20061010404900241
Wherein, * represents 1 plural number is got conjugation.
Step 303: consider the antenna selecting plan under the Mode-1, M kind antenna selecting plan is arranged under Mode-1, from M transmitting antenna, select an antenna, selected antenna p respectively arbitrarily 1Expression.Directly obtain each selected antenna p among the R that from step 302, calculates 1The inverse matrix of the evaluated error covariance matrix that transmits R 1 ( p 1 ) = r p 1 p 1 .
Step 304: calculate each selected antenna p 1The mean square error correlated variables because the evaluated error covariance matrix of an antenna is the matrix that has only an element, then described selected antenna p 1The mean square error correlated variables
Figure C20061010404900243
Be exactly antenna p 1The evaluated error covariance matrix
Figure C20061010404900244
Q 1 ( p 1 ) = ( R 1 ( p 1 ) ) - 1 , Then from all antenna p 1Middle selection makes the mean square error correlated variables
Figure C20061010404900246
Minimum antenna is designated as t 1 , t 1 = arg min p 1 ( Q 1 ( p 1 ) ) ( 1 ) ( 1 ) .
Wherein, the complete expression method of the mean square error correlated variables of transmitting antenna is that transmitting antenna transmit in the present invention, abbreviates the mean square error correlated variables of transmitting antenna as at the relevant variable of the mean square error of receiving terminal estimated value.In the present embodiment, the mean square error correlated variables of particular transmit antenna is meant: in the evaluated error covariance matrix, and the diagonal entry of this particular transmit antenna correspondence.
In fact, the mean square error correlated variables of transmitting antenna can also be any one value that the diagonal entry corresponding with this transmitting antenna has functional relation, for example, the inverse of the diagonal entry corresponding, perhaps mould of the diagonal entry of this transmitting antenna correspondence or the like with this transmitting antenna.For this situation,, omit concrete processing procedure in this case at this because present technique field personnel can be according to method specific implementation provided by the invention.
In addition, need to prove again and since the present invention described in the evaluated error covariance matrix in noise variance σ w 2Be normalized to 1, therefore, transmitting antenna transmit in the mean square error of receiving terminal estimated value is: the diagonal entry of corresponding transmitting antenna and noise variance σ in the evaluated error covariance matrix w 2Product.
Calculate selected antenna t 1Reception SINR be, SINR ( t 1 ) = | | 1 α · ( Q 1 ( t 1 ) ) ( 1 ) ( 1 ) | | - 1 , Or SINR ( t 1 ) = 1 α · ( Q 1 ( t 1 ) ) ( 1 ) ( 1 ) - 1 . Wherein, || || several mould of giving instructions in reply.
Because α = σ w 2 σ s 2 , Therefore, receive SINR computing formula can also for: SINR ( t 1 ) = | | σ s 2 σ w 2 · ( Q 1 ( t 1 ) ) ( 1 ) ( 1 ) | | - 1 , Or SINR ( t 1 ) = σ s 2 σ w 2 · ( Q 1 ( t 1 ) ) ( 1 ) ( 1 ) - 1 . Wherein,
Figure C20061010404900256
Be exactly antenna t 1Mean square error.In concrete application process, can obtain the mean square error of antenna earlier, then according to formula SINR ( t 1 ) = | | σ s 2 σ w 2 · ( Q 1 ( t 1 ) ) ( 1 ) ( 1 ) | | - 1 Or SINR ( t 1 ) = σ s 2 σ w 2 · ( Q 1 ( t 1 ) ) ( 1 ) ( 1 ) - 1 Calculate and receive SINR.
Step 305: m is made as 2.M,
Figure C20061010404900259
Be used for recursion next time.
After initialization shown in Figure 3 is finished, forward among the A of Fig. 4.Fig. 4 is an antenna selecting plan recursion flow chart, and Fig. 4 finishes the recursion of day line options from A, comprises following step:
Step 401: judge whether to have considered the Mode-M antenna selecting plan, whether promptly judge m greater than M, if, process ends; Otherwise, enter the flow process of recursion, execution in step 402.
Step 402: consider the antenna selecting plan under the Mode-m, according to this flow process, selected m-1 transmitting antenna under Mode-m, Xuan Ding transmitting antenna is t 1..., t M-1
Step 403: under Mode-m, select the scheme of m antenna that M-m+1 kind antenna selecting plan is arranged, respectively from removing transmitting antenna t 1..., t M-1Outside M-m+1 transmitting antenna in select arbitrarily an antenna, selecteed antenna p mExpression.This recursion requirements of process β 1 ( p m ) = r p m p m , v m - 1 ( p m ) = r t 1 p m r t 2 p m . . . r t m - 1 p m ,
Figure C20061010404900262
With
Figure C20061010404900263
Can from the R matrix that 302 steps of Fig. 3 are tried to achieve, directly obtain.Utilize
Figure C20061010404900264
Figure C20061010404900265
And last recursion obtains
Figure C20061010404900266
Obtain comprising in this recursion selected antenna p mM transmitting antenna t 1..., t M-1, p mThe inverse matrix of evaluated error covariance matrix
Figure C20061010404900267
R m ( p m ) = R m - 1 ( t m - 1 ) v m - 1 ( p m ) ( v m - 1 ( p m ) ) H β 1 ( p m ) .
Step 404: there be m-1 transmitting antenna t in calculating 1..., t M-1The situation of interference under, each selected antenna p mThe mean square error correlated variables, described selected antenna p mThe mean square error correlated variables be transmitting antenna t 1..., t M-1, p mThe evaluated error covariance matrix in antenna p mCorresponding diagonal entry.
Described selected antenna p mThe mean square error correlated variables be to utilize m-1 transmitting antenna t 1..., t M-1The evaluated error covariance matrix
Figure C20061010404900269
Recursion is calculated, and calculation procedure is: at first calculate
Figure C200610104049002610
Sherman-Morrison result, promptly use the Sherman-Morrison formula to obtain
Figure C200610104049002611
( T m - 1 ( p m ) ) - 1 = Q m - 1 ( t m - 1 ) + Q m - 1 ( t m - 1 ) v m - 1 ( p m ) ( v m - 1 ( p m ) ) H Q m - 1 ( t m - 1 ) β 1 ( p m ) - ( v m - 1 ( p m ) ) H Q m - 1 ( t m - 1 ) v m - 1 ( p m ) ; Then by
Figure C200610104049002613
And
Figure C200610104049002614
Obtain antenna t 1..., t M-1, p mThe evaluated error covariance matrix
Figure C200610104049002615
Q m ( p m ) = ( T m - 1 ( p m ) ) - 1 × × 1 β 1 ( p m ) + ( v m - 1 ( p m ) ) H ( T m - 1 ( p m ) ) - 1 v m - 1 ( p m ) ( β 1 ( p m ) ) 2 . Wherein, * the not calculative off diagonal element of expression.
Figure C200610104049002617
The element of last row of last column ( Q m ( p m ) ) ( m ) ( m ) = 1 β 1 ( p m ) + ( v m - 1 ( p m ) ) H ( T m - 1 ( p m ) ) - 1 v m - 1 ( p m ) ( β 1 ( p m ) ) 2 There is m-1 transmitting antenna t exactly 1..., t M-1The situation of interference under selected antenna p mThe mean square error correlated variables.
Then, from all antenna p mMiddle selection makes selected antenna p mThe mean square error correlated variables
Figure C200610104049002619
Minimum antenna is designated as t m, t m = arg min p m ( Q m ( p m ) ) ( m ) ( m ) .
There is m-1 transmitting antenna t in calculating 1..., t M-1The situation of interference under, selected antenna t mReception SINR be, SINR ( t m ) = | | 1 α · ( Q m ( t m ) ) ( m ) ( m ) | | - 1 , Or SINR ( t m ) = 1 α · ( Q m ( t m ) ) ( m ) ( m ) - 1 .
Step 405: determine antenna t mAfter, calculate selected transmitting antenna t under the Mode-m 1..., t mThe evaluated error covariance matrix
Figure C20061010404900273
In step 404, calculated
Figure C20061010404900274
The basis of diagonal entry on, calculate off diagonal element again and obtain
Figure C20061010404900275
For: Q m ( t m ) = ( T m - 1 ( t m ) ) - 1 - ( T m - 1 ( t m ) ) - 1 v m - 1 ( t m ) β 1 ( t m ) - ( ( T m - 1 ( t m ) ) - 1 v m - 1 ( t m ) β 1 ( t m ) ) H 1 β 1 ( t m ) + ( v m - 1 ( t m ) ) H ( T m - 1 ( t m ) ) - 1 v m - 1 ( t m ) ( β 1 ( t m ) ) 2 .
Figure C20061010404900277
Be used for recursion next time.
When m=M, do not need to calculate
Figure C20061010404900278
Be used for recursion next time.Only after antenna selecting plan is defined as using M transmitting antenna, just need to calculate
Figure C20061010404900279
Be used for input.
Step 406: determine a unique antenna selecting plan under Mode-m, this scheme is for using antenna t 1..., t M-1, t m, m=1,2 ..., M, and receiving terminal will be according to transmitting antenna t m, t M-1..., t 1Decode the one by one signal of transmission antennas transmit of sequencing.
The value of step 407:m increases by 1, returns execution in step 401, enters recursion flow process next time.
Step by described day line options of Fig. 3, Fig. 4 obtains following result, is respectively:
As a result 1: obtain the order of a selected M transmitting antenna under the Mode-M, promptly receiving terminal detects the sequencing of transmitting antenna, is t M, t M-1..., t m..., t 2, t 1Thus, can also determine that a selected m transmitting antenna is t under Mode-m arbitrarily m, t M-1..., t 2, t 1, be t and receiving terminal detects the sequencing of this m transmitting antenna m, t M-1..., t 2, t 1, wherein, m=1,2 ..., M.
As a result 2: obtain each transmitting antenna t mReception SINR be SINR (t m), there be m-1 transmitting antenna t in expression 1..., t M-1The situation of interference under, antenna t mReception SINR, wherein, m=1,2 ..., M.
As a result 3: obtain selected m t that transmits under Mode-m arbitrarily m, t M-1..., t 2, t 1The evaluated error covariance matrix Be used for receiving terminal detection signal process, wherein, m=1,2 ..., M-1.
In the The above results, receiving terminal is the sequence t that can represent a plurality of antenna selecting plans among the described result 1 M..., t 1With the SINR (t among the described result 2 M) ..., SINR (t 1) feed back to transmitting terminal, adopt any antenna selecting plan by the transmitting terminal decision.
Receiving terminal is the SINR (t among the described result 2 M) ..., SINR (t 1) feed back in the process of transmitting terminal, generally need conversion SINR (t M) ..., SINR (t 1) value, to reduce the bit number of feedback.More specifically, transmitting terminal has a modulation and channel coding schemes (MCS, The modulation and channelcoding scheme) form generally speaking, writes down suitable MCS under the situation of various reception SINR, in more complicated system, the content of above table record may be more.Thereby receiving terminal is according to the SINR (t among the described result 2 M) ..., SINR (t 1), in above-mentioned MCS form, select a suitable value, it is just passable that the index sequence number of this value in the MCS form fed back to transmitting terminal, can reduce the bit number that needs feedack like this.
In the communication plan that day line options is arranged, relatively receive SINR again after might not needing reception SINR calculated, but can by relatively with receive SINR and have the variable of functional relation to obtain receiving the comparative result of SINR.In the present invention, be exactly selected antenna p in utilization and the evaluated error covariance matrix mThe mean square error correlated variables just can relatively receive SINR; When needs receive the value of SINR, utilize described selected antenna p mThe mean square error correlated variables just can calculate and receive SINR.
According to said method, in described motion 7,, promptly in M transmitting antenna, select L transmitting antenna to use if Mode-L is adopted in the transmitting terminal decision, then L transmitting antenna must be t L..., t 1, L=1,2 ..., M.When transmitting terminal adopted the Mode-L antenna selecting plan, the flow process of receiving terminal detection signal comprised following step as shown in Figure 5:
Step 501: during the receiving terminal detection signal, according to transmitting antenna t L..., t 1Sequencing detect the signal of each transmission antennas transmit successively, in channel matrix H, take out and transmitting antenna t respectively L..., t 1Corresponding L row, and press the column weight new sort, obtain H L ( t L ) = [ h : t 1 h : t 2 . . . h : t L - 1 h : t L ] . From the cross-correlation matrix Φ of channel matrix H, take out and transmitting antenna t L..., t 1Corresponding row and column, rearrangement obtains channel matrix
Figure C20061010404900282
The cross-correlation channel matrix Φ L ( t L ) = ( H L ( t L ) ) H · H L ( t L ) . Wherein, matrix Φ calculates in step 302, if perhaps have to the R matrix in the step 302, then utilizes the relation between matrix Φ and the R to obtain Φ.
Step 502: if L=1,2 ..., M-1 in the resulting evaluated error covariance matrix that transmits, finds corresponding to L transmitting antenna t in described result 3 L..., t 1The evaluated error covariance matrix that transmits
Figure C20061010404900291
It is the initial value of the required Q of input; If L=M then needs recursion to calculate
Figure C20061010404900292
It is the initial value of the required Q of input; From described result 3, in the resulting evaluated error covariance matrix that transmits, can also further find corresponding to l transmitting antenna t l..., t 1The evaluated error covariance matrix
Figure C20061010404900293
L=1 ..., L-1, these also are the required Q of input.
With X to the received signal 1..., x NCarry out the pre-matching filtering transformation, obtain received signal vector
Figure C20061010404900295
Pre-matching filtering result z L = ( H L ( t L ) ) H · x → , Wherein,
Figure C20061010404900297
Be matched filter.
The recursion variable j of definition detection signal allows j=L, the flow process that enters following detection signal, i.e. step 503.
Step 503: judge whether to have only to be detected transmitting, whether promptly judge j, if then forward step 508 to less than 2; Otherwise, execution in step 504.
Step 504: utilize the t of transmitting to be detected j..., t 1The evaluated error covariance matrix
Figure C20061010404900298
Calculate the current detected t that transmits jEstimated value For, y t j = q j H · z j . Wherein, q jExpression
Figure C200610104049002911
J row.
Step 505: according to given symbol constellation to estimated value
Figure C200610104049002912
Quantize (slicing), obtain
Figure C200610104049002913
Step 506: from the pre-matching filtering result of received signal vector, eliminate current detection to the influence that transmits, by interference cancellation techniques next time the input problem become j-1 the t that transmits J-1..., t 1Detection, concrete grammar is: deletion has the column vector z of j item jLast obtain the column vector (z of j-1 item j) MinusFrom (z j) MinusThe current t that transmits that is detected of middle elimination jInterference, obtain
Figure C200610104049002914
Wherein
Figure C200610104049002915
It is matrix
Figure C200610104049002916
Last row promptly a j-1 of j row is capable.
Step 507: deletion matrix
Figure C200610104049002917
Last 1 row and last 1 row, promptly delete
Figure C200610104049002918
The capable and j of j row obtain being used for next iteration
Figure C200610104049002919
Then, allow the value of j subtract 1, promptly j=j-1 forwards step 703 to, enters next iteration.
Step 508: obtain last detected t of transmitting 1Estimated value
Figure C20061010404900301
For, y t 1 = q 1 H · z 1 . Wherein, q 1Expression
Figure C20061010404900303
The 1st row, i.e. q 1Be exactly
Step 509: according to given symbol constellation to estimated value
Figure C20061010404900305
Quantize (slicing), obtain
Figure C20061010404900306
Process ends.
Detecting the result who transmits at last is:
The estimated value that transmits, the sequencing according to detected is: Wherein
Figure C20061010404900308
The subscript of the estimated value that transmits in the vector is only represented this detected sequencing that transmits, vector
Figure C20061010404900309
In the estimated value that transmits J=L, L-1 ..., 1 subscript j changes t into j, the vector that obtains
Figure C200610104049003011
In the transmit subscript of estimated value represent original signal index.
The method of above-described definite antenna selecting plan and the method for detection signal are equally applicable to other communication plan of day line options.Below simple introduce communication plan, motion 1 and motion 11 with day line options.
The motion 1 of document 3GPP TR 25.876 V1.7.1 provides a kind of MIMO communication plan that comprises day line options in (Proposal 1: " Per-antenna ratecontrol (PARC) ").In the motion 1, have under the situation of M transmitting antenna, consider 2 MThe assembled scheme of-a kind of sky line options, final in M transmitting antenna selection have the transmitting antenna of a subclass of high aggregate date rate.In the Mode-m antenna selecting plan, consider all C M mIndividual antenna selecting plan calculates all C under the Mode-m M mThe reception SINR of the m of an individual antenna selecting plan transmitting antenna, m gets 1,2 ..., M carries out described reception SINR to each m value and calculates, and any have the antenna selecting plan of high aggregate date rate, wherein C are selected in decision thus M mThe number of all combinations of m object is got in expression from M different object.
Motion 11 (Proposal 11:Single﹠amp at document 3GPP TR 25.876 V1.7.1; Multiple Code Word MIMO with Virtual Antenna mapping (SCW/MCW-VA)) also provides a kind of MIMO communication plan that comprises day line options in the SCW/MCW-VA communication plan of Jie Shaoing.In the scheme of motion 11, use the notion of virtual-antenna (VA), the object that corresponding receiving terminal is handled becomes equivalent channel matrix by channel matrix H
Figure C20061010404900311
Described SCW/MCW-VA communication plan has SCW pattern and MCW pattern, is described below respectively:
In the SCW of described SCW/MCW-VA communication plan pattern, the method of recommending to use is, selecteed optimum emitting antenna selecting scheme, just determine with the several virtual transmitting antenna in all virtual transmitting antennas, but which virtual transmitting antenna that uncertain usefulness is concrete is used alternatingly all virtual transmitting antennas when transmitting.In the scheme of described SCW pattern, such as transmitting terminal 4 transmitting antennas 1,2,3,4 are arranged, if when signal is launched, determine to use wherein 2 transmitting antennas, then each constantly all uses 2 transmitting antennas, but is to use which 2 transmitting antenna, is time dependent, several symbols transmitting antenna 1,2, several symbols transmitting antenna 3,4, several symbols transmitting antenna 2,3..., the employed virtual transmitting antenna of alternate so successively.
And in the MCW of described SCW/MCW-VA communication plan pattern, selecteed optimum emitting antenna selecting scheme, determine with the several virtual transmitting antenna in all virtual transmitting antennas, also determine to use which concrete virtual transmitting antenna, but each corresponding relation that transmits with employed each virtual transmitting antenna is time dependent.In described MCW pattern, such as transmitting terminal 4 transmitting antennas 1,2,3,4 are arranged, if when signal is launched, determine with 2 transmitting antennas 1 and 4 wherein, then each constantly all uses 2 transmitting antennas 1 and 4, and to transmit be a and b but suppose 2 the tunnel, and then several symbol a are with transmitting antennas 1 emission, b launches with transmitting antenna 4, and ensuing several symbol a is with transmitting antenna 4 emissions, and b is with transmitting antenna 1 emission, so successively the corresponding relation of the virtual transmitting antenna that transmits of alternate.In the MCW pattern of motion 11, because each road transmits and each virtual-antenna between no longer be the relation of determining one to one, receiving terminal need be estimated the reception SINR that each road transmits, and no longer be the reception SINR of each virtual-antenna, wherein, the reception SINR that transmits of each road is that reception SINR by each virtual-antenna is averaged and obtains.
In the above motion 1 and the motion 11, the process of definite day line options and the process of detection signal can utilize the thought among the motion 7 described embodiment to carry out equally.
Among the present invention, in the MIMO communication system of day line options is arranged, the main thought of determining antenna selecting plan is: after obtaining channel matrix H, calculate the mean square error correlated variables of the selected transmitting antenna of each antenna selecting plan of the required consideration of communication plan of current employing, utilize the relatively reception SINR of each transmitting antenna of described mean square error correlated variables, according to the comparative result that receives SINR, determine antenna selecting plan.Wherein, the calculation procedure of the mean square error correlated variables of the selected transmitting antenna of described each antenna selecting plan comprises: utilize channel matrix H to calculate described mean square error correlated variables; Perhaps, utilize channel matrix H to calculate the evaluated error covariance matrix of the part transmitting antenna in selected all transmitting antennas of antenna selecting plan, the evaluated error covariance matrix of the part transmitting antenna that utilizes channel matrix H then and calculated, recursion is tried to achieve the evaluated error covariance matrix of selected all transmitting antennas of antenna selecting plan, and wherein the diagonal entry of evaluated error covariance matrix is the mean square error correlated variables.
Among the present invention, in the MIMO communication system of day line options is arranged, after determining a kind of antenna selecting plan by the method for above-mentioned definite antenna selecting plan, when receiving terminal detects transmitting terminal according to the signal of determined antenna selecting plan emission, the main thought of detection signal is: utilize the resulting evaluated error covariance matrix that transmits to be detected in the antenna selection course, calculate the estimated value to transmitting.
Among the present invention, when there is other the interference of one or more transmitting antennas in the particular transmit antenna of transmitting terminal, the general thought of calculating the reception SINR of described particular transmit antenna is: calculate the item corresponding with described particular transmit antenna in evaluated error covariance matrixes of this particular transmit antenna and the described transmitting antenna set that one or more are formed as the transmitting antenna that disturbs, and utilize the reception SINR of this this particular transmit antenna of calculating.Wherein, to the transmitting antenna that particular transmit antenna produce to be disturbed, can be in all transmitting antennas of transmitting terminal except other transmitting antenna of particular transmit antenna; If will eliminate the interference of some transmitting antenna of this particular transmit antenna by interference cancellation techniques, then this particular transmit antenna is produced in the transmitting antenna that disturbs, do not comprise and eliminate the transmitting antenna that disturbs by interference cancellation techniques.
In actual applications, noise variance σ in the evaluated error covariance matrix w 2Be not to be normalized to 1.If on evaluated error covariance matrix of the present invention, multiply by any one non-zero constant again, also can realize goal of the invention according to thought provided by the invention.
The above only is preferred embodiment of the present invention, and is in order to restriction the present invention, within the spirit and principles in the present invention not all, any modification of being done, is equal to replacement, improvement etc., all should be included within protection scope of the present invention.

Claims (17)

1, a kind of method of in multiple antenna communication, determining antenna selecting plan, transmit and launch and arrive the reception antenna of receiving terminal by each different transmitting antenna of transmitting terminal respectively through the channel that a channel matrix is H, it is characterized in that this method may further comprise the steps:
A) obtain the channel matrix H of forming by the channel coefficients between transmitting antenna and the reception antenna;
B) the mean square error correlated variables of the selected transmitting antenna of each antenna selecting plan of the required consideration of communication plan of the current employing of calculating, utilize the received signal and the interference-to-noise ratio SINR of selected each transmitting antenna of each antenna selecting plan of the required consideration of the more described communication plan of resulting mean square error correlated variables, according to the comparative result that receives SINR, determine antenna selecting plan;
The calculation procedure of described mean square error correlated variables comprises: utilize channel matrix H to calculate described mean square error correlated variables; Perhaps, utilize channel matrix H to calculate the evaluated error covariance matrix of the part transmitting antenna in selected all transmitting antennas of antenna selecting plan, utilize the evaluated error covariance matrix of channel matrix H and the part transmitting antenna that calculated then, recursion is tried to achieve and is comprised described part transmitting antenna and the number mean square error correlated variables more than the transmitting antenna of described part number of transmit antennas.
2, method according to claim 1 is characterized in that, the described relatively step of the reception SINR of selected each transmitting antenna of antenna selecting plan of the required consideration of communication plan of step b comprises:
The mean square error correlated variables of the transmitting antenna that the antenna selecting plan that b11. utilizes channel matrix H to calculate selection first number transmitting antenna in all transmitting antennas can be selected, utilize the mean square error correlated variables that is calculated, the reception SINR of each transmitting antenna that the antenna selecting plan of more described selection first number transmitting antenna can be selected, definite antenna selecting plan of selecting first number transmitting antenna; Calculate the evaluated error covariance matrix of the selected transmitting antenna of antenna selecting plan of determined selection first number transmitting antenna;
B12. the evaluated error covariance matrix that utilizes the step b12 in step b11 or the last recursion to obtain, recursion calculate to select to comprise the mean square error correlated variables of the transmitting antenna that described first number transmitting antenna and number can be selected greater than the antenna selecting plan of second number transmitting antenna of first number, utilize the mean square error correlated variables that is calculated, the reception SINR of each transmitting antenna that the antenna selecting plan of more described selection second number transmitting antenna can be selected, definite antenna selecting plan of selecting second number transmitting antenna; Calculate the evaluated error covariance matrix of the selected transmitting antenna of antenna selecting plan of determined selection second number transmitting antenna; If relatively the reception SINR of the selected transmitting antenna of all antenna selecting plans, then process ends; Otherwise, make the value of first number equal the value of second number after, the value of second number adds 1 or greater than 1 integer value, returns step b12.
3, method according to claim 1 is characterized in that, the described relatively step of the reception SINR of selected each transmitting antenna of antenna selecting plan of the required consideration of communication plan of step b comprises:
B21. when the reception SINR of selected each transmitting antenna of antenna selecting plan Mode-1 scheme of relatively selecting 1 transmitting antenna, receiving terminal utilizes channel matrix H to calculate 1 transmitting antenna p that the Mode-1 scheme can be selected 1The mean square error correlated variables, utilize the reception SINR of the selected transmitting antenna of the more described Mode-1 scheme of resulting mean square error correlated variables, determine to select in the Mode-1 scheme transmitting antenna t 1Calculate described transmitting antenna t 1The evaluated error covariance matrix;
B22. when the reception SINR of selected each transmitting antenna of antenna selecting plan Mode-m scheme of relatively selecting m transmitting antenna, utilize the evaluated error covariance matrix of m-1 transmitting antenna in the selected m of the Mode-m scheme transmitting antenna, recursion is calculated m the transmitting antenna p that the Mode-m scheme can be selected 1..., p mThe mean square error correlated variables, utilize the relatively reception SINR of each transmitting antenna that can select of Mode-m scheme of described mean square error correlated variables, determine selection transmitting antenna t in the Mode-m scheme 1..., t mCalculate this m transmitting antenna t 1..., t mThe evaluated error covariance matrix; If relatively the reception SINR of each transmitting antenna under all antenna selecting plans, then process ends; Otherwise the value of m adds 1, returns step b22;
Wherein, the initial value of m is made as 2.
4, method according to claim 3 is characterized in that,
1 transmitting antenna p that the described Mode-1 scheme of step b21 can be selected 1For: any one transmitting antenna in all transmitting antennas;
Select transmitting antenna t in the described definite Mode-1 scheme of step b21 1For: compare the transmitting antenna p that each Mode-1 scheme can be selected 1Reception SINR, be defined as the transmitting antenna t that selects in the described Mode-1 scheme with receiving the best selected transmitting antenna of Mode-1 scheme of SINR 1
M the transmitting antenna p that the described Mode-m scheme of step b22 can be selected 1..., p mFor: t 1..., t M-1, p m, wherein, transmitting antenna t 1..., t M-1Determine the best selected m-1 of Mode-(m-1) the scheme transmitting antenna of reception SINR of selection for the step b22 of step b21 or last recursion; p mBeing m transmitting antenna, is to remove described m-1 transmitting antenna t from all transmitting antennas 1..., t M-1After any one transmitting antenna in the transmitting antenna set that obtains;
Determine m transmitting antenna t of selection in the described Mode-m scheme of step b22 1..., t mSatisfy: described m transmitting antenna t 1..., t mIn m-1 the transmitting antenna step b22 that is step b21 or last recursion determine the best selected transmitting antenna t of Mode-(m-1) scheme of reception SINR that selects 1..., t M-1There is m-1 transmitting antenna t 1..., t M-1The situation of interference under, each Mode-m scheme transmitting antenna p that can select relatively mReception SINR, determine selected transmitting antenna p mThe best Mode-m scheme of reception SINR, selected transmitting antenna p mThe best selected transmitting antenna of Mode-m scheme of reception SINR be described m transmitting antenna t 1..., t mIn m transmitting antenna t m
5, method according to claim 4 is characterized in that,
Further comprise before the described step b: utilize channel matrix H to obtain the inverse matrix R of the evaluated error covariance matrix of all transmitting antennas;
The described calculating transmitting antenna of step b21 p 1The step of mean square error correlated variables comprise: in the R matrix, obtain transmitting antenna p 1The inverse matrix of evaluated error covariance matrix Utilize resulting
Figure C2006101040490004C2
Calculate transmitting antenna p 1The mean square error correlated variables;
The described calculating transmitting antenna of step b22 p mThe step of mean square error correlated variables comprise: in the R matrix, obtain transmitting antenna t 1..., t M-1, p mThe inverse matrix of evaluated error covariance matrix In a vector
Figure C2006101040490004C4
With a scalar Utilize a resulting vector
Figure C2006101040490004C6
A scalar
Figure C2006101040490004C7
And Mode-(m-1) scheme is determined the transmitting antenna t of selection 1..., t M-1The evaluated error covariance matrix calculate transmitting antenna p mThe mean square error correlated variables.
6, method according to claim 5 is characterized in that, the mean square error correlated variables of described transmitting antenna is: comprise in the evaluated error covariance matrix of this transmitting antenna the diagonal entry corresponding with this transmitting antenna.
7, method according to claim 6 is characterized in that,
The described utilization of step b21
Figure C2006101040490005C1
The transmitting antenna p that calculates 1The mean square error correlated variables be:
Figure C2006101040490005C2
Inverse be transmitting antenna p 1The mean square error correlated variables
Figure C2006101040490005C3
The described matrix that in the R matrix, obtains of step b22 In a vector
Figure C2006101040490005C5
With a scalar
Figure C2006101040490005C6
For: the transmitting antenna t that determines selection in Mode-(m-1) scheme 1..., t M-1The inverse matrix of evaluated error covariance matrix
Figure C2006101040490005C7
The basis on, matrix
Figure C2006101040490005C8
One and transmitting antenna t being increased 1..., t M-1, p mRelevant vector
Figure C2006101040490005C9
With one and transmitting antenna p mRelevant scalar
Figure C2006101040490005C10
The described utilization of step b22
Figure C2006101040490005C11
In a vector
Figure C2006101040490005C12
A scalar
Figure C2006101040490005C13
And Mode-(m-1) scheme is determined the transmitting antenna t of selection 1..., t M-1The evaluated error covariance matrix
Figure C2006101040490005C14
Calculate transmitting antenna p mThe mean square error correlated variables be: at first calculate
Figure C2006101040490005C15
Sherman-Morrison result
Figure C2006101040490005C16
Then by
Figure C2006101040490005C17
And
Figure C2006101040490005C18
Calculate transmitting antenna p mThe mean square error correlated variables
Figure C2006101040490005C19
Wherein, ( Q m ( p m ) ) ( m ) ( m ) = 1 β 1 ( p m ) + ( v m - 1 ( p m ) ) H ( T m - 1 ( p m ) ) - 1 v m - 1 ( p m ) ( β 1 ( p m ) ) 2 .
8, method according to claim 7 is characterized in that,
When described communication plan need be calculated reception SINR,
The described transmitting antenna p that utilizes of step b21 1The mean square error correlated variables
Figure C2006101040490005C21
Calculate transmitting antenna p 1Reception SINR be: Or
The described transmitting antenna p that utilizes of step b22 mThe mean square error correlated variables Calculate the selected transmitting antenna p of each antenna selecting plan that selects m transmitting antenna 1..., p mMiddle transmitting antenna p mReception SINR be:
Figure C2006101040490005C25
Or
Figure C2006101040490005C26
Wherein, ‖ ‖ represents the mould of plural number, and α is the relevant constant of average received signal to noise ratio on each reception antenna.
9, method according to claim 7 is characterized in that,
The described calculating transmitting antenna of step b22 t 1..., t mThe evaluated error covariance matrix be:
Figure C2006101040490006C1
The basis on, increase by matrix
Figure C2006101040490006C2
Vector
Figure C2006101040490006C3
And scalar
Figure C2006101040490006C4
Row and a delegation that forms obtains m transmitting antenna t 1..., t mThe evaluated error covariance matrix
Figure C2006101040490006C5
The item that one row and delegation intersect is transmitting antenna t mThe mean square error correlated variables ( Q m ( t m ) ) ( m ) ( m ) = 1 β 1 ( t m ) + ( v m - 1 ( t m ) ) H ( T m - 1 ( t m ) ) - 1 v m - 1 ( t m ) ( β 1 ( t m ) ) 2 , Other of one row is
Figure C2006101040490006C7
Other of delegation is
Figure C2006101040490006C8
10, method according to claim 5 is characterized in that, the mean square error correlated variables of described transmitting antenna is: comprise that the diagonal entry corresponding with this transmitting antenna has the value of functional relation in the evaluated error covariance matrix of this transmitting antenna.
11, a kind of in multiple antenna communication the method for detection signal, transmit and launch respectively and arrive receiving terminal through the channel that a channel matrix is H by each different transmitting antenna of transmitting terminal, it is characterized in that this method may further comprise the steps:
X. obtain the channel matrix H of forming by the channel coefficients between transmitting antenna and the reception antenna;
Y. calculate the mean square error correlated variables of the selected transmitting antenna of each antenna selecting plan of the required consideration of communication plan of current employing, utilize the received signal and the interference-to-noise ratio SINR of selected each transmitting antenna of each antenna selecting plan of the required consideration of the more described communication plan of resulting mean square error correlated variables, according to the comparative result that receives SINR, determine antenna selecting plan;
The calculation procedure of described mean square error correlated variables comprises: utilize channel matrix H to calculate described mean square error correlated variables; Perhaps, utilize channel matrix H to calculate the evaluated error covariance matrix of the part transmitting antenna in selected all transmitting antennas of antenna selecting plan, utilize the evaluated error covariance matrix of channel matrix H and the part transmitting antenna that calculated then, recursion is tried to achieve and is comprised described part transmitting antenna and the number mean square error correlated variables more than the transmitting antenna of described part number of transmit antennas;
Z. utilize the evaluated error covariance matrix of the selected transmitting antenna of resulting antenna selecting plan in definite antenna selecting plan process of step y, detect the signal of the selected transmission antennas transmit of determined antenna selecting plan.
12, method according to claim 11 is characterized in that, the described relatively step of the reception SINR of selected each transmitting antenna of antenna selecting plan of the required consideration of communication plan of step y comprises:
Y1. when the reception SINR of selected each transmitting antenna of antenna selecting plan Mode-1 scheme of relatively selecting 1 transmitting antenna, receiving terminal utilizes channel matrix H to calculate 1 transmitting antenna p that the Mode-1 scheme can be selected 1The mean square error correlated variables, utilize the reception SINR of the selected transmitting antenna of the more described Mode-1 scheme of resulting mean square error correlated variables, determine to select in the Mode-1 scheme transmitting antenna t 1Calculate described transmitting antenna t 1The evaluated error covariance matrix;
Y2. when the reception SINR of selected each transmitting antenna of antenna selecting plan Mode-m scheme of relatively selecting m transmitting antenna, utilize the evaluated error covariance matrix of m-1 transmitting antenna in the selected m of the Mode-m scheme transmitting antenna, recursion is calculated m the transmitting antenna p that the Mode-m scheme can be selected 1..., p mThe mean square error correlated variables, utilize the relatively reception SINR of each transmitting antenna that can select of Mode-m scheme of described mean square error correlated variables, determine selection transmitting antenna t in the Mode-m scheme 1..., t mCalculate this m transmitting antenna t 1..., t mThe evaluated error covariance matrix; If relatively the reception SINR of each transmitting antenna under all antenna selecting plans, then process ends; Otherwise the value of m adds 1, returns step b22;
Wherein, the initial value of m is made as 2.
13, method according to claim 12 is characterized in that,
Further comprise before the described step z: utilize the channel matrix H of the selected transmitting antenna correspondence of determined antenna selecting plan to carry out the pre-matching filtering transformation to received signal; The cross-correlation channel matrix Φ of calculating channel matrix H, Φ=H HH;
Described step z comprises:
Z1. from definite antenna selecting plan process of step y, directly obtain the evaluated error covariance matrix that transmits to be detected in the evaluated error covariance matrix of the selected transmitting antenna of resulting each antenna selecting plan, utilize the pre-matching filtering result of resulting evaluated error covariance matrix that transmits to be detected and described received signal to obtain a described current detected estimated value that transmits;
Z2. utilize the cross-correlation channel matrix Φ of a described current detected estimated value that transmits and channel matrix H to calculate transmitting of having detected to detecting the interference value of subsequent transmission signal, and the interference that transmits that elimination has detected from the pre-matching filtering result of described received signal, the pre-matching filtering result of the received signal that obtains revising;
Z3. repeating step z1, z2, the signal of selected transmission antennas transmit in detecting described determined antenna selecting plan.
14, a kind of method of in multiple antenna communication, calculating received signal and interference-to-noise ratio SINR, be used to calculate reception SINR to a particular transmit antenna of transmitting terminal, there is the interference of other one or more transmitting antennas in described particular transmit antenna, transmit and launch respectively as the transmitting antennas that disturb and arrive receiving terminal through the channel that a channel matrix is H by this particular transmit antenna and described one or more, it is characterized in that this method comprises:
L, obtain by this particular transmit antenna and the described channel matrix H that one or more are formed as the transmitting antenna that disturbs and the channel coefficients between the reception antenna;
M, calculate mean square error correlated variabless of this particular transmit antenna and the described transmitting antenna set that one or more are formed as the transmitting antenna that disturbs; The calculation procedure of described mean square error correlated variables comprises: utilize channel matrix H to calculate described mean square error correlated variables; Perhaps, utilize channel matrix H to calculate this particular transmit antenna and described one or more evaluated error covariance matrixes as the part transmitting antenna of the transmitting antenna set of the transmitting antenna composition that disturbs, utilize the evaluated error covariance matrix of channel matrix H and the part transmitting antenna that calculated then, recursion is tried to achieve and is comprised described part transmitting antenna and the number mean square error correlated variables more than the transmitting antenna of described part number of transmit antennas;
N, utilize the item corresponding in evaluated error covariance matrixes of resulting this particular transmit antenna in the process of the described mean square error correlated variables of calculating of step m and the described transmitting antenna set that one or more are formed as the transmitting antenna that disturbs, calculate the reception SINR of particular transmit antenna with described particular transmit antenna.
15, method according to claim 14, it is characterized in that, the reception SINR of described calculating particular transmit antenna is: utilize in the evaluated error covariance matrix and corresponding item of described particular transmit antenna and the relevant constant of average received signal to noise ratio on each reception antenna, calculate reception SINR.
16, method according to claim 15, it is characterized in that, the reception SINR of described calculating particular transmit antenna is: calculate in the described evaluated error covariance matrix and corresponding item of described particular transmit antenna and relevant the amassing of constant of average received signal to noise ratio on each reception antenna, resulting product subtracts 1 after getting inverse again, obtains the reception SINR of this particular transmit antenna; Perhaps, calculate in the described evaluated error covariance matrix and corresponding item of described particular transmit antenna and relevant the amassing of constant of average received signal to noise ratio on each reception antenna, resulting product subtracts 1 after getting back reciprocal delivery again, obtains the reception SINR of this particular transmit antenna.
17, method according to claim 14, it is characterized in that, the reception SINR of described calculating particular transmit antenna is: calculate the item corresponding with described particular transmit antenna in this evaluated error covariance matrix and the product of the noise variance on the reception antenna, obtain the mean square error of described particular transmit antenna transmit in the receiving terminal estimated value, variance of calculating this transmitting antenna then and being transmitted and described particular transmit antenna transmit are the merchant of the mean square error of receiving terminal estimated value, resulting merchant subtracts 1, obtains the reception SINR of this particular transmit antenna; Perhaps, calculate the item corresponding in this evaluated error covariance matrix and the product of the noise variance on the reception antenna with described particular transmit antenna, obtain the mean square error of described particular transmit antenna transmit in the receiving terminal estimated value, variance of calculating this transmitting antenna then and being transmitted and described particular transmit antenna transmit are the merchant of the mean square error of receiving terminal estimated value, subtract 1 again behind resulting merchant's delivery, obtain the reception SINR of this particular transmit antenna.
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