CN105407061B - Signal coding based on channel estimation and coding/decoding method - Google Patents
Signal coding based on channel estimation and coding/decoding method Download PDFInfo
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- H—ELECTRICITY
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- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/0202—Channel estimation
- H04L25/024—Channel estimation channel estimation algorithms
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- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/0001—Systems modifying transmission characteristics according to link quality, e.g. power backoff
- H04L1/0009—Systems modifying transmission characteristics according to link quality, e.g. power backoff by adapting the channel coding
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/0202—Channel estimation
- H04L25/024—Channel estimation channel estimation algorithms
- H04L25/0242—Channel estimation channel estimation algorithms using matrix methods
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Abstract
The invention discloses Signal codings and coding/decoding method based on channel estimation：One, designs send and receive signal；Two, are to input signal matrixIt is encoded；Three, channel estimations；Four, are to signal matrixIt is decoded.The present invention can realize that more preferably data decode, and are conducive to the improvement of whole system performance while reducing signal decoding complex degree.
Description
Technical field
The invention belongs to wireless communication technology fields, more particularly to wirelessly communicate extensive antenna technical field, specifically
Refer to a kind of Signal coding and coding/decoding method based on channel estimation, is applied to the extensive antenna system of multiple cell multi-user.
Background technology
With the continuous development of wireless communication technique, requirement of the people to wireless data transmission rate is also increasingly
It is high.The advantage in performance that extensive antenna system (Massive MIMO) has so that people are more and more deeper to its research
Enter.The influence factor of performance in wireless communication systems, main there are two aspects：When the randomness of radio channel information (CSI), two
It is the interference of each inter-cell user.These influence factors all prevent system from being accurately received signal, finally will be direct
Influence the performance of whole system.Therefore, in order to improve the performance of extensive antenna system, on the one hand, need accurately to estimate
CSI；On the other hand, need to realize that more preferably data decode.
In fact, the acquisition of CSI, can be estimated according to training sequence.And theoretically optimal data decoding method
It is maximum likelihood (ML) coding/decoding method, but in extensive antenna system, the decoding complex degree of this coding/decoding method is also suitable
It is high.So from the point of view of system decoding complex degree, this method is unsatisfactory.Therefore, input signal is encoded and is solved
The research of code method is essential, can realize more preferably data decoding pair while reducing signal decoding complex degree
There is great meaning in the improvement of whole system performance.
Invention content
The present invention is directed to the deficiency of existing coding/decoding method, it is proposed that one kind being used for the extensive antenna system of multiple cell multi-user
In the Signal coding and coding/decoding method based on channel estimation.
The present invention takes following technical scheme：
Signal coding based on channel estimation and coding/decoding method carry out as follows：
One, designs send and receive signal
It is assumed that system has L cell, for each cell there are one base station and K user, each base station is furnished with M root antennas, and
There are co-channel interferences between cell.It is assumed that k-th of user of first of cell first sends the training sequence that length is τ, i.e. Φlk=
(φlk,1,φlk,2,…,φlk,τ), wherein φlk,1,φlk,2,…,φlk,τ, k=1,2 ..., K are k-th of use of first of cell
Family respectively the 1,2nd ..., the training symbol that the τ moment sends.It enablesFor K × τ matrixes, Φ=(Φ1,
Φ2,…,ΦL)tIt is known as training matrix for the matrix of LK × τ, subscript t indicates the transposition (the same below) of vector or matrix herein.So
It is Τ to send length afterwards1Information sequence, form input signal matrix X.Wherein X=[X1 t…Xl t…XL t]t, XlFor first of base
Signal in standing transmitted by user contains the required data transmitted.Assuming that reception letter corresponding with Φ and X in the 1st base station
Number be respectively：
Wherein, H=[H1,…,Hl,…,HL], HlIndicate the user in first of base station to the 1st antenna for base station channel
Gain, it is clear that HlFor the matrix of M × K.B=diag[B1,…,Bl,…,BL], BlFor the diagonal matrix of K × K, first of base is indicated
The weak factor of large scale of user in standing to the 1st antenna for base station.In the present invention, Φ=s [ is enabled;IK IK … IK]t, in Φ
Including L IK, each IKIndicate K ranks unit matrix (the same below), ρ0And ρ1It is signal-to-noise ratio, W0And W1Indicate white Gaussian noise.
On the basis of channel information H is estimated, proposition is a kind of to be encoded and is decoded to input signal matrix X the present invention
Method.It is described in detail below：
Two, encode input signal matrix X
1st step：Construct Τ1×Τ1Matrix Glk(1≤l≤L, 1≤k≤K), wherein matrix GlkIn element be it is undetermined
Parameter, Criterion of Selecting see below the 3rd step.It enablesSl=[Sl1 … Slk … SlK]t, then signal
Matrix S=[S1 t … Sl t … SL t]t, wherein SlkIt is Τ1The vector of dimension, and each component sLk, i(i=1,2 ..., Τ1)
It is independently derived from some QAM (quadrature amplitude modulation signal), carries the data information of k-th of user in first of base station.
2nd step：Enable Xlk=(GlkSlk)t, remember Xl=[Xl1 t Xl2 t … XlK t]t, have in this way
Xl=[Gl1Sl1 Gl2Sl2 … GlKSlK]t,
X=[X1 t X2 t … XL t]t.
3rd step：Matrix GlkThe Criterion of Selecting of parameter in (1≤l≤L, 1≤k≤K)：Selection parameter is as matrix GlkIn
Element so as to arbitrary sLk, i, lower column matrix
For non-singular matrix.According to Criterion of Selecting, suitable matrix G is constructedlk。
Three, channel estimations
According to the training matrix Φ of transmission and corresponding reception signal Y0, estimate channel H with MMSE methods of estimation, obtain letter
The estimated value in road is
Wherein, it is the matrix of M × LK.It enablesWherein, it is the matrix of M × K.
Four, are decoded signal matrix S
To solve the 1,2nd ..., the information S of pth (1≤p≤K) a user in L base station1p,S2p,…,SLpFor.Specifically
Step is：
1st step：It enablesBl=diag[βl1 … βlk … βlK], then Y1It is represented by
Wherein,
It takes and determines Slp(l=1,2 ..., L, SlpFor Τ1Dimensional vector, its each component are independently derived from a certain QAM), it obtains
Xlp=(GlpSlp)t(l=1,2 ..., L) is enabled
Then have,
About above-mentioned formula, V1It regards Gaussian noise as, using MMSE coding/decoding methods, solves the 1st, 2 ..., in L base station
The information S of all users except p-th of user1k,S2k,…,SLk(1≤k ≠ p≤K), corresponding solution is denoted as(1≤k≠p≤K)。
2nd step：It enablesX then can be obtained.It calculates
L=1,2 ..., L, 1≤p≤K.
3rd step：It enablesIt can solveIt completes to Slp(l=1,2 ..., L, 1≤p≤K)
Decoding.
4th step：Utilize the 1st to 3 step of step 4, you can solve the information of all usersThen complete the decoding to signal matrix S.
The present invention can while reducing signal decoding complex degree, realize more preferably data decode, be conducive to be entirely
The improvement for performance of uniting.
Description of the drawings
Fig. 1 is the analogous diagram about error rate of system under conditions of embodiment 1.
Specific implementation mode
It elaborates below in conjunction with the accompanying drawings to the preferred embodiment of the present invention.
Embodiment 1
Assuming that antenna number is M=20, L=2 cell, each cell has K=2 user, first sends the training sequence of τ=2
Row, retransmit T1=2 information sequence.B takes fixed diagonal matrix B=diag[1 0.9 0.5 0.4], matrix Glk(1≤l≤
2,1≤k≤2) it takes respectivelyG22=G21, whereinα1=1+j (1- δ1), α2=1+j (1- δ2),
One, designs send and receive signal equation
It is assumed that system has 2 cells, for each cell there are one base station and 2 users, each base station is furnished with 20 antennas, and
There are co-channel interferences between cell.User first sends the training sequence that length is τ=2, then again before sending information sequence
Transmission length is Τ1=2 information sequence forms signal matrix S, wherein sLk, i(l=1,2, k=1,2, i=1,2) is taken from
Standard 4-QAM, then Slk=[sLk, 1 sLk, 2]t, S=[S11 S12 S21 S22]t.According to the coding method of input signal matrix X, i.e.,
Can X be obtained by signal matrix S.Assuming that the 1st base station reception signal corresponding with Φ and X is respectively：
Wherein, H=[H1 H2], H1And H2It is 20 × 2 channel matrix.B takes fixed diagonal matrix (B=diag[1 0.9
0.5 0.4]).In the present invention, Φ is enabled1=I2, Φ2=I2, then training matrix Φ=s [Φ1 Φ2]t, dimension is 4 × 2, ρ0With
ρ1It is signal-to-noise ratio, W0And W1Indicate white Gaussian noise.
Two, encode input signal matrix X
1st step：It enables
1≤k≤2.
1≤k≤2.
Wherein,α1=1+j (1- δ1), α2=1+j (1- δ2),mlk(1≤l
≤ 2,1≤k≤2) it is undetermined parameter.Enable Slk=[sLk, 1 sLk, 2]t, it is 2 dimensional vectors, wherein each component sLk, i(i=1,2)
It is independently derived from some 4-QAM, carries the data information of k-th of user of first of base station.
2nd step：Enable Xlk=(GlkSlk)t, remember Xl=[Xl1 t Xl2 t]t, have in this way
Xl=[Gl1Sl1 Gl2Sl2]t,
X=[X1 t X2 t]t.
3rd step：According to parameter mlkThe design criteria of (1≤l≤2,1≤k≤2)：Select mlkSo that arbitrary sLk, i, square
Battle array
For non-singular matrix.M in the present invention11, m12, m21And m220,1/8,0,0 is taken respectively.
Three, channel estimations
According to the training matrix Φ of transmission and corresponding reception signal Y0, estimate channel H with MMSE method, obtain estimation letter
Road
Wherein it is 20 × 4 matrix.It enablesIts neutralization is 20 × 2 matrix.
Four, are decoded signal matrix S
With the information S of the 1st user in solution the 1st and the 2nd base station11And S21For.The specific steps are：
1st step：It enablesB1=diag[β11 β12], B2=diag[β21 β22], then
Y1It can be expressed as
Wherein,
It takes and determines S11And S21, obtain X11=(G11S11)tAnd X21=(G21S21)t, enable
Then have,
About above-mentioned equation, V1It regards Gaussian noise as, using MMSE coding/decoding methods, solves S12And S22, corresponding to solve
It is denoted asWith
2nd step：It enablesX then can be obtained.It calculates
3rd step：It enablesIt solvesWithIt completes to S11And S21Decoding.
4th step：Using the 1st to 3 step of step 4, you can it solves allCompletion pair
The decoding of signal matrix S.
As shown in Figure 1, being under conditions of above-described embodiment 1, about the analogous diagram of error rate of system, wherein " minimum equal
Square error coding/decoding method-Slk" indicate to decode the information S of k-th of user of first of cell with general MMSE methodlk(1≤l
≤ 2,1≤k≤2) obtained ber curve, " coding/decoding method-S proposed by the present inventionlk" indicate with side proposed by the present invention
Method decodes the information S of k-th of user of first of celllk(1≤l≤2,1≤k≤2) obtained ber curve.From Fig. 1
As can be seen that compared to general MMSE coding/decoding methods, coding/decoding method proposed by the present invention has better system performance.Below
Introduce the theoretical foundation of the design method：
1. channel model
Remember that true channel is H, is X to the input signal matrix obtained after signal matrix S codings, then the 1st base station connects
The signal model received can be denoted as：
Wherein, H indicates that the random matrix of M × LK, its each element are that mean value is 0, and the multiple Gauss that variance is 1 is random
Variable, and two-by-two independently of each other；Signal matrix S is LK × T1Matrix, and send signal be all equably to be derived from a certain mark
Quasi- QAM；X is the input signal matrix obtained after being encoded to S；B is diagonal matrix, is represented by B=diag[B1,…,
Bl,…,BL], element B on diagonal linelFor the diagonal matrix of K × K, indicate in a base station l (1≤l≤L) user to the 1st base
The weak factor of large scale of station antenna；ρ0And ρ1It is signal-to-noise ratio；W0And W1It is M × τ and M × T respectively1Noise matrix, it
Each element is all that mean value is 0, the multiple Gauss stochastic variable that variance is 1, and two-by-two independently of each other；Receiving terminal receive M × τ and
M×T1Receipt signal matrix Y0And Y1。
2.ML- decodings
For above-mentioned system model, in Can Kaowenzhang [Haiquan Wang,Peng Pan,Lei Shen and
Zhijin Zhao,“On the pair-wise error probability of a multi-cell MIMO uplink
system with pilot contamination”,IEEE Transactions on wireless
communications,vol.13,no.10,pp.5797-5811,Oct.2014]It is pointed out in (hereinafter referred to as bibliography 1),
Optimal maximum likelihood coding/decoding method is
Wherein, Y=[Y0 Y1].It also indicates that simultaneously, the performance that make system have, necessarily satisfying for condition：To any defeated
Enter signal matrix , [Φ Χ]For non-singular matrix.
It enables on the one hand, above-mentioned ML coding/decoding methods are equivalent to coding/decoding method below, i.e.,
Wherein,A=IKL+ρ0BΦΦHBH, and
3. the ML- decodings that decoding complex degree reduces
To above-mentioned ML- decodings, its advantage is that performance is optimal, but its decoding complex degree is high, in fact,
It is exponential growth.In order to reduce decoding complex degree, the present invention uses ML- decodings to partial information, and to other one
Partial information uses MMSE decodings.Since the complexity of MMSE decodings is linear, compared to above-mentioned ML- decodings, institute
The coding/decoding method complexity of proposition can be greatly reduced.At the same time, coding/decoding method proposed by the present invention is based on ML- decodings again,
To also with good performance.
Those skilled in the art are it should be appreciated that above example is only used for illustrating the present invention, and is not intended as pair
The restriction of the present invention, as long as within the scope of the invention, the variation to above example, deformation will all be fallen in protection model of the invention
It encloses.
Claims (1)
1. the Signal coding based on channel estimation and coding/decoding method, it is characterized in that carrying out as follows：
One, designs send and receive signal
L cell is suppose there is, there are one base station and K user, each base stations to be furnished with M root antennas for each cell, and between cell
There are co-channel interferences；It is assumed that k-th of user of first of cell first sends the training sequence that length is τ, i.e. Φlk=(φlk,1,
φlk,2,…,φlk,τ), wherein φlk,1,φlk,2,…,φlk,τBe first of cell k-th of user respectively the 1,2nd ..., τ
The training symbol that moment sends, k=1,2 ..., K；It enablesFor K × τ matrixes, Φ=(Φ1,
Φ2,…,ΦL)tIt is known as training matrix for the matrix of LK × τ, subscript t indicates the transposition of vector or matrix；Then sending length is
T1Information sequence, form input signal matrix X；Wherein X=[X1 t … Xl t … XL t]t, XlFor user institute in first of base station
The signal of transmission contains the required data transmitted；Assuming that reception signal corresponding with Φ and X is respectively in the 1st base station：
Wherein, H=[H1,…,Hl,…,HL], HlIndicate the user in first of base station to the 1st antenna for base station channel gain,
Obvious HlFor the matrix of M × K；B=diag[B1,…,Bl,…,BL], BlFor the diagonal matrix of K × K, indicate in first of base station
The large scale weak factor of the user to the 1st antenna for base station；Enable Φ '=[IK IK … IK]t, Φ 'In include L IK, each IK
Indicate K rank unit matrix；ρ0And ρ1It is signal-to-noise ratio；W0And W1Indicate white Gaussian noise；
Two, encode input signal matrix X
1st step：Construct T1×T1Matrix Glk, 1≤l≤L, 1≤k≤K, wherein matrix GlkIn element be undetermined parameter；It enablesSl=[Sl1 … Slk … SlK]t, then signal matrix S=[S1 t … Sl t … SL t]t,
Wherein SlkIt is T1The vector of dimension, and each component sLk, iIt is independently derived from some QAM, carries the kth in first of base station
The data information of a user, i=1,2 ..., T1；
2nd step：Enable Xlk=(GlkSlk)t, remember Xl=[Xl1 t Xl2 t … XlK t]t, have in this way
Xl=[Gl1Sl1 Gl2Sl2 ... GlKSlK]t,
X=[X1 t X2 t … XL t]t；
3rd step：Matrix Glk, 1≤l≤L, 1≤k≤K, the Criterion of Selecting of middle parameter：Selection parameter is as matrix GlkIn element,
So that arbitrary sLk, i, lower column matrix
For non-singular matrix；According to Criterion of Selecting, suitable matrix G is constructedlk；
Three, channel estimations
According to the training matrix Φ of transmission and corresponding reception signal Y0, estimate that channel H, the estimated value for obtaining channel are
Wherein,For the matrix of M × LK；It enablesWherein,For the matrix of M × K；
Four, are decoded signal matrix S
The 1,2nd is solved ..., the information S of p-th of user in L base station1p,S2p,…,SLp, wherein 1≤p≤K, the specific steps are：
1st step：It enablesBl=diag[βl1 … βlk … βlK], βlkIt indicates in first of base station
K-th of user is to the weak factor of large scale of the 1st antenna for base station, then Y1It is expressed as
Wherein,
It takes and determines Slp, l=1,2 ..., L, SlpFor T1Dimensional vector, its each component are independently derived from a certain QAM, obtain Xlp=
(GlpSlp)t, GlpFor matrix, enable
Then have,
Above-mentioned formula, V1It regards Gaussian noise as, solves the 1st, 2 ..., all users' in L base station except p-th of user
Information S1k,S2k,…,SLk, 1≤k ≠ p≤K, corresponding solution is denoted as
2nd step：It enablesThen obtain X；It calculates
3rd step：It enablesIt can solveIt completes to Slp, l=1,2 ..., L, 1≤p≤K, solution
Code；
4th step：Using the 1st to 3 step of step 4, the information of all users can be solvedIt is complete
The decoding of pair signals matrix S.
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| CN102571666A (en) * | 2011-08-12 | 2012-07-11 | 哈尔滨工程大学 | MMSE (Minimum Mean Square Error)-based equalization method of underwater sound OFDM (Orthogonal Frequency Division Multiplexing) judgment iterative channel |
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