CN103220033A - Method for parallelizing matrix channels of two-way relay MIMO (Multiple Input Multiple Output) system - Google Patents

Abstract

The invention discloses a method for parallelizing matrix channels of a two-way relay MIMO (Multiple Input Multiple Output) system. In consideration of a problem that system performance is affected since noise can be seriously amplified by a relay and a user receiving matrix which are designed by a traditional parallelizing algorithm, a joint unitary triangular decomposition method is used; a relay and a user receiving matrix with unitary matrix properties are designed; in addition, dirty paper coding is implemented at a user transmitting end; and under the matching of a receiving end, successive interference elimination is implemented, so that the matrix channels are parallelized. By virtue of the two-way relay MIMO system, the noise at the relay is not amplified, the effect on the system rate caused by the noise at the relay can be effectively restrained and the system performance is enhanced.

Description

A kind of matrix channel parallel method of two-way relaying mimo system

Technical field

The invention belongs to communication technical field, more specifically say, relate to a kind of two-way relaying MIMO(Multiple-Input Multiple-Output, multiple-input and multiple-output) the matrix channel parallel method of system.

Background technology

Different with traditional one-way junction system, utilize ANC(Analog-Network-Coding, analog network coding) technology, two-way relaying mimo system can be finished the communication process between the user in two time slots.Fig. 1 is that two-way relaying mimo system inserts and the time slot system block diagram.As shown in Figure 1, first time slot is an access slot, and two users send signal to via node, H simultaneously ₁Be the channel matrix of access slot user 1 to relay well, H ₂Be the channel matrix of access slot user 2 to relay well; Second time slot is time slot, and the mixed signal that relaying receives first time slot is broadcast to two users, G ₁Be the channel matrix that time slot is relayed to 1 of user, G ₂It is the channel matrix that time slot is relayed to 2 of users.Utilize ANC, each user knows the signal that certain channel information and self send, thus the self-interference between the user can be eliminated easily, thereby finish communication process.Ining contrast to the one-way junction system needs four time slots finish information interaction, and two-way relay system only needs two time slots, therefore lifting at double the availability of frequency spectrum of system.

Existing two-way relay system method is divided into two classes:

First kind, directly adopt the vector interative computation, obtain relaying and user's matrix, this method relates to non-protruding vector optimization problem, and complexity is too high, and common relaying can not satisfy its calculation requirement.

Second kind, the actual more valuable method that proposes under too high based on first kind of complexity, as the not possess construction value situation, main thought is to utilize the method for parallelization, and the vector interative computation is reduced to the scalar optimization problem, greatly reduces the complexity of algorithm.Fig. 2 is existing parallel method schematic diagram.As shown in Figure 2, existing parallel method adopts GSVD(Generalized Singular Value Decomposition, generalized singular value decomposition) equivalent matrix channel is converted into parallel channel.By channel matrix decomposition H ₁And H ₂Obtain user i (i=1,2) emission pre-coding matrix

Receiving unit matrix with junction matrix

And then obtain the receiving matrix at time slot user i place

In the existing parallel method, though the pre-coding matrix at user and relaying place has been finished the parallelization of matrix channel, because the receiving unit matrix of junction matrix

With user's receiving matrix

Not unitary matrice, can change the statistical property of noise, in general can cause the noise at relaying and user place to amplify, can have a strong impact on the performance of whole system after especially relaying place noise amplifies.

Summary of the invention

The objective of the invention is to overcome the deficiencies in the prior art, a kind of matrix channel parallel method of two-way relaying mimo system is provided, adopt associating triangle decomposition at the tenth of the twelve Earthly Branches that equivalent matrix channel is converted into parallel channel, make relaying and user's receiving matrix have the character of unitary matrice, avoid amplifying noise, improve the performance of two-way relay system.

For achieving the above object, the matrix channel parallel method of the two-way relaying mimo system of the present invention is characterized in that may further comprise the steps:

(1), during access slot, user 1 is to the channel matrix H of relay well ₁Be m ₁* l ties up matrix, wherein m ₁Be user's 1 antenna number, l is the relaying antenna number; Access slot user 2 is to the channel matrix H of relay well ₂Be m ₂* l ties up matrix, wherein m ₂Be user's 2 antenna number, system antenna is configured to m ₁, m ₂〉=l is to channel matrix H ₁And H ₂Adopt associating triangle decomposition at the tenth of the twelve Earthly Branches to obtain:

$H_i={\mathrm{T\Γ}}_i{Q}_i^H,i=\mathrm{1,2}$

Q wherein _iWith T be unitary matrice,

Be Q _iAssociate matrix, Γ _iIt is upper triangular matrix;

Make up the pre-coding matrix of user i

Wherein

Being diagonal matrix, is the power division matrix at user i place;

At two user's transmitting terminals respectively to signal s to be sent _iCarry out precoding and dirty paper code, obtain sending signal

The signal that the relaying place receives is:

$y_r^{\mathrm{DPC}}={\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_1}{\mathrm{\&Lambda;}}_{U_1}{\mathrm{<figure-callout\; id="1"\; label="s"\; filenames="HDA00003181262400031.png"\; state="\{\{state\}\}">s</figure-callout>}}_1+{\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_2}{\mathrm{\&Lambda;}}_{U_2}{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">s</figure-callout>}}_2+{\mathrm{Tn}}_r$

Wherein,

Be to contain matrix Γ _iThe diagonal matrix of diagonal element; s _iExpression sends to the user from user i

Signal, promptly when i=1,

Otherwise during i=2,

n _rRepresent the Gaussian noise at relaying place;

(2) during time slot, to being relayed to 1 of user's channel conjugate matrices

With the channel conjugate matrices that are relayed to 2 of users

Adopt associating triangle decomposition at the tenth of the twelve Earthly Branches to obtain:

G _i＝K _iX _iE ^H

Wherein E and K _iBe unitary matrice, E ^HBe the associate matrix of E, X _iIt is upper triangular matrix;

Make up relaying pre-coding matrix F=E Λ _FT ^H, Λ wherein _FBeing diagonal matrix, is the power division matrix at relaying place, T ^HAssociate matrix for T; The signal that relaying receives access slot

Carry out precoding and obtain forward signal $y_r=K_i{X}_i{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_1}{\mathrm{\&Lambda;}}_{U_1}{\mathrm{<figure-callout\; id="1"\; label="s"\; filenames="HDA00003181262400031.png"\; state="\{\{state\}\}">s</figure-callout>}}_1+{\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_2}{\mathrm{\&Lambda;}}_{U_2}{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">s</figure-callout>}}_2+{\mathrm{Tn}}_r),$ Relaying amplifies forward signal and broadcasts at time slot;

User i receiving broadcast signal, received signal is:

$y_i=K_i{X}_i{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_{\stackrel{\&OverBar;}{i}}}{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+{\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_i}{\mathrm{\&Lambda;}}_{U_i}{s}_i+{\mathrm{Tn}}_r)+n_i$

Wherein, n _iGaussian noise for user i place;

Carry out self-interference and eliminate, obtain:

$y_i^{\&prime;}=K_i{X}_i{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_{\stackrel{\&OverBar;}{i}}}{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+{\mathrm{Tn}}_r)+n_i$

With received signal

Multiply by unitary matrice

Be K _iAssociate matrix, use continuous interference eliminated to get then:

$y_i^{\mathrm{SIC}}={\mathrm{\&Delta;}}_{X_i}{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_{\stackrel{\&OverBar;}{i}}}{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+{\mathrm{Tn}}_r)+K_i^H{n}_i$

Wherein,

Be to contain matrix X _iThe diagonal matrix of diagonal element.

Wherein, system antenna is configured to m ₁=m ₂=l.

Wherein, dirty paper code adopts the ZF dirty paper code.

The matrix channel parallel method of the two-way relaying mimo system of the present invention, all channel matrix has been used associating triangle decomposition at the tenth of the twelve Earthly Branches at access slot and time slot, relaying receiving matrix and user's receiving matrix of unitary matrice character have been obtained having, carry out dirty paper code by the transmission signal after user's transmitting terminal is to precoding simultaneously, adopt continuous interference eliminated that whole equivalent matrix channel has been carried out the associating parallelization at user's receiving terminal.The present invention has suppressed The noise effectively by adopting triangular matrix at the tenth of the twelve Earthly Branches, and by the parallelization of the equivalent matrix channel vector computational problem with complexity is transformed for the scalar problem, has not only effectively promoted the computation burden that performance has also reduced relaying.

Description of drawings

Fig. 1 is that two-way relaying mimo system inserts and the time slot system block diagram;

Fig. 2 is existing parallel method schematic diagram;

Fig. 3 is a communication scheme between the user in a kind of embodiment of matrix channel parallel method of the two-way relaying mimo system of the present invention;

Fig. 4 is existing parallel method and performance of the present invention comparison under the high s/n ratio;

Fig. 5 is existing parallel method and performance of the present invention comparison under the low signal-to-noise ratio.

Embodiment

Below in conjunction with accompanying drawing the specific embodiment of the present invention is described, so that those skilled in the art understands the present invention better.What need point out especially is that in the following description, when perhaps the detailed description of known function and design can desalinate main contents of the present invention, these were described in here and will be left in the basket.

The matrix channel parallel method of the two-way relaying mimo system of the present invention is united equivalent matrix channel parallelization with two-way relaying mimo system by appropriate design junction matrix and user's matrix, mainly comprise two parts: the pre-coding matrix by the tenth of the twelve Earthly Branches, triangle decomposition obtained suppressing noise effect, carry out equivalent matrix channel parallelization based on this pre-coding matrix again.

During access slot, user 1 is to the channel matrix H of relay well ₁Be m ₁* l ties up matrix, wherein m ₁Be user's 1 antenna number, l is the relaying antenna number; Access slot user 2 is to the channel matrix H of relay well ₂Be m ₂* l ties up matrix, wherein m ₂Be user's 2 antenna number, system antenna is configured to m ₁, m ₂〉=l.In practical engineering application, in order to utilize degree of freedom gain, system antenna can be configured to m ₁=m ₂=l.To channel matrix H ₁And H ₂Adopt associating triangle decomposition at the tenth of the twelve Earthly Branches to obtain:

$H_i={\mathrm{T\&Gamma;}}_i{Q}_i^H,i=\mathrm{1,2}$

Q wherein _iWith T be unitary matrice,

Be Q _iAssociate matrix, Γ _iIt is upper triangular matrix.

The principle of associating triangle decomposition at the tenth of the twelve Earthly Branches and process can be referring to Khina A, Kochman Y, Erez U.Joint unitary triangularization for MIMO networks[J] .Signal Processing, IEEE Transactions on, 2012,60 (1): 326-336.

During time slot, to being relayed to 1 of user's channel conjugate matrices

With the channel conjugate matrices that are relayed to 2 of users

Adopt associating triangle decomposition at the tenth of the twelve Earthly Branches to obtain:

G _i＝K _iX _iE ^Hi＝1,2

Wherein E and K _iBe unitary matrice, E ^HBe the associate matrix of E, X _iIt is upper triangular matrix.

Can obtain the pre-coding matrix of user i

Diagonal matrix wherein It is the power division matrix at user i place; Relaying pre-coding matrix F=E Λ _FT ^H, diagonal matrix Λ wherein _FBe the power division matrix at relaying place, T ^HAssociate matrix for T.

If directly adopt above pre-coding matrix that user's signal to be sent and relaying forward signal are carried out precoding, the signal that receives at user i place is:

$y_i^{*}=K_i{X}_i{\mathrm{\&Lambda;}}_F{\mathrm{\&Gamma;}}_i{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+K_i{X}_i{\mathrm{\&Lambda;}}_F{\mathrm{\&Gamma;}}_i{\mathrm{\&Lambda;}}_{U_i}{s}_i+K_i{X}_i{\mathrm{\&Lambda;}}_F{\mathrm{Tn}}_r+n_i$

S wherein _iExpression sends to the user from user i

Signal, promptly when i=1,

Otherwise during i=2,

n _rRepresent the Gaussian noise at relaying place.For user i

Be the signal that expectation receives, i.e. the other user

The signal of sending, s _iBe self signal by the interference signal that relaying passback back produces, utilize the analog network coding technology of two-way relaying mimo system can carry out self-interference and eliminate, then the received signal at user i place:

$y_i^{*\&prime;}=K_i{X}_i{\mathrm{\&Lambda;}}_F{\mathrm{\&Gamma;}}_i{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+K_i{X}_i{\mathrm{\&Lambda;}}_F{\mathrm{Tn}}_r+n_i$

Can find that the signal that receives this moment is not the parallelization structure, also need finish parallelization by other operations.In order to eliminate the influence of nondiagonal element, turn to many independently subchannels with matrix channel is parallel, be converted into scalar operation, the present invention was divided into for two steps, the first step is that (Dirty Paper Coding is DPC) with the access slot parallelization at user's transmitting terminal use dirty paper code; Second step was to use continuous interference eliminated at user's receiving terminal (Successive Innterference Cancellation, SIC) with the time slot parallelization, final equivalent matrix channel is by diagonalization.The principle of DPC and process can be with reference to Jindal N, Goldsmith A.Dirty-paper coding versus TDMA for MIMO broadcast channels[J] .Information Theory, IEEE Transactions on, 2005,51 (5): the principle of 1783-1794.SIC and process can references: Khina A, Kochman Y, Erez U.Joint unitary triangularization for MIMO networks[J] .Signal Processing, IEEE Transactions on, 2012,60 (1): 326-336.Its specific implementation process is as follows:

To use ZF-DPC through the signal of precoding at two user's transmitting terminals, obtain sending signal

The signal that this moment, the relaying place received is:

$y_r^{\mathrm{DPC}}={\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_1}{\mathrm{\&Lambda;}}_{U_1}{\mathrm{<figure-callout\; id="1"\; label="s"\; filenames="HDA00003181262400031.png"\; state="\{\{state\}\}">s</figure-callout>}}_1+{\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_2}{\mathrm{\&Lambda;}}_{U_2}{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">s</figure-callout>}}_2+{\mathrm{Tn}}_r$

Wherein

Be to contain matrix Γ _iThe diagonal matrix of diagonal element.

Relaying is with the signal that receives

Carry out precoding and obtain forward signal $y_r=K_i{X}_i{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_1}{\mathrm{\&Lambda;}}_{U_1}{\mathrm{<figure-callout\; id="1"\; label="s"\; filenames="HDA00003181262400031.png"\; state="\{\{state\}\}">s</figure-callout>}}_1+{\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_2}{\mathrm{\&Lambda;}}_{U_2}{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">s</figure-callout>}}_2+{\mathrm{Tn}}_r),$ So user i received signal is:

$y_i=K_i{X}_i{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_{\stackrel{\&OverBar;}{i}}}{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+{\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_i}{\mathrm{\&Lambda;}}_{U_i}{s}_i+{\mathrm{Tn}}_r)+n_i$

After self-interference is eliminated, the received signal at user i place then:

$y_i^{\&prime;}=K_i{X}_i{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_{\stackrel{\&OverBar;}{i}}}{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+{\mathrm{Tn}}_r)+n_i$

Notice that the signal that receives this moment is not the signal of parallelization still, right among the present invention

Multiply by unitary matrice

Be K _iAssociate matrix use SIC then, can get:

$y_i^{\mathrm{SIC}}={\mathrm{\&Delta;}}_{X_i}{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_{\stackrel{\&OverBar;}{i}}}{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+{\mathrm{Tn}}_r)+K_i^H{n}_i$

Wherein,

Be to contain matrix X _iThe diagonal matrix of diagonal element.

As seen utilize this moment associating triangle decomposition at the tenth of the twelve Earthly Branches and nonlinear precoding means to finish the parallelization of matrix channel, obtained independently parallel sub-channels.

Embodiment

Fig. 3 is a communication scheme between the user in a kind of embodiment of matrix channel parallel method of the two-way relaying mimo system of the present invention.The situation of user 1 to user's 2 communications only is described herein.As shown in Figure 3, λ ₁..., λ _NFor adopting the characteristic sub-channel of the resulting user 1 of the present invention to relaying, N is the quantity of characteristic sub-channel, n ₁..., n _NGaussian noise for each characteristic sub-channel of relaying place;

For being relayed to user 2 characteristic sub-channel, M is the quantity of characteristic sub-channel,

Gaussian noise for user's 2 each characteristic sub-channel of place.

During access slot, user 1 and 2 is all to retransmit.User 1 obtains through associating triangle decomposition at the tenth of the twelve Earthly Branches to the channel matrix of relaying Thereby obtain user 1 pre-coding matrix

The signal s that sends ₁Through sending behind precoding, the DPC, the received signal that obtains at the relaying place is

During time slot, to being relayed to 2 of users' channel matrix G ₂Adopt associating triangle decomposition at the tenth of the twelve Earthly Branches to obtain G ₂=K ₂X ₂E ^H, make up relaying pre-coding matrix F=E Λ _FT ^H, relaying will

Carry out broadcasting away after precoding and the amplification.The signal that user 2 receives is ${\mathrm{<figure-callout\; id="2"\; label="y"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">y</figure-callout>}}_2=K_2{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">X</figure-callout>}}_2{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_1}{\mathrm{\&Lambda;}}_{U_1}{\mathrm{<figure-callout\; id="1"\; label="s"\; filenames="HDA00003181262400031.png"\; state="\{\{state\}\}">s</figure-callout>}}_1+{\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_2}{\mathrm{\&Lambda;}}_{U_2}{\mathrm{<figure-callout\; id="2"\; label="s"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">s</figure-callout>}}_2+{\mathrm{Tn}}_r)+{\mathrm{<figure-callout\; id="2"\; label="n"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">n</figure-callout>}}_2,$ Eliminate through self-interference, obtain ${\mathrm{<figure-callout\; id="2"\; label="y"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">y</figure-callout>}}_2^{\&prime;}=K_2{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">X</figure-callout>}}_2{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_1}{\mathrm{\&Lambda;}}_{U_1}{\mathrm{<figure-callout\; id="1"\; label="s"\; filenames="HDA00003181262400031.png"\; state="\{\{state\}\}">s</figure-callout>}}_1+{\mathrm{Tn}}_r)+{\mathrm{<figure-callout\; id="2"\; label="n"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">n</figure-callout>}}_2,$ Will

Multiply by unitary matrice

Use SIC to get ${\mathrm{<figure-callout\; id="2"\; label="y"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">y</figure-callout>}}_2^{\mathrm{SIC}}={\mathrm{\&Delta;}}_{{\mathrm{<figure-callout\; id="2"\; label="X"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">X</figure-callout>}}_2}{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_1}{\mathrm{\&Lambda;}}_{U_1}{\mathrm{<figure-callout\; id="1"\; label="s"\; filenames="HDA00003181262400031.png"\; state="\{\{state\}\}">s</figure-callout>}}_1+{\mathrm{Tn}}_r)+K_2^{\mathrm{<figure-callout\; id="2"\; label="H\; n"\; filenames="HDA00003181262400021.png,HDA00003181262400022.png"\; state="\{\{state\}\}">H</figure-callout>}}{n}_{}{}_2.$

Fig. 4 is existing parallel method and performance of the present invention comparison under the high s/n ratio.Fig. 5 is existing parallel method and performance of the present invention comparison under the low signal-to-noise ratio.For simplifying simulation process, adopt numerical simulation in this emulation, system antenna configuration m ₁=m ₂=l, the signal of two users emission is separate and meet the expectation

All antennas of user's transmitting terminal adopt constant power to distribute, user's transmitting terminal adopts the ZF dirty paper code, transmitting power is 10W, user's receiving terminal signal to noise ratio is fixed as 10d B, all noises all meet the expectation be 0, variance is 1 the Gauss symmetrical distribution that circulates, under the situation that relaying place signal to noise ratio changes, observe the situation of the present invention for the relaying noise suppressed.As Fig. 4 and shown in Figure 5, method 1 is the system and the speed of existing parallel method, and promptly user 1 arrives user 1 traffic rate sum to user 2 traffic rate, user 2, and method 2 is system of the present invention and speed.As seen, adopt the present invention, no matter relaying place signal to noise ratio is a height is low, and the present invention all can suppress raising system and speed, thereby elevator system performance to the influence of relaying place noise to systematic function.

Although above the illustrative embodiment of the present invention is described; so that those skilled in the art understand the present invention; but should be clear; the invention is not restricted to the scope of embodiment; to those skilled in the art; as long as various variations appended claim limit and the spirit and scope of the present invention determined in, these variations are conspicuous, all utilize innovation and creation that the present invention conceives all at the row of protection.

Claims (3)

1. the matrix channel parallel method of a two-way relaying mimo system is characterized in that may further comprise the steps:

(1), during access slot, user 1 is to the channel matrix H of relay well ₁Be m ₁* l ties up matrix, wherein m ₁Be user's 1 antenna number, l is the relaying antenna number; Access slot user 2 is to the channel matrix H of relay well ₂Be m ₂* l ties up matrix, wherein m ₂Be user's 2 antenna number, system antenna is configured to m ₁, m ₂〉=l is to channel matrix H ₁And H ₂Adopt associating triangle decomposition at the tenth of the twelve Earthly Branches to obtain:

$H_i={\mathrm{T\&Gamma;}}_i{Q}_i^H,i=\mathrm{1,2}$

Q wherein _iWith T be unitary matrice,

Be Q _iAssociate matrix, Γ _iIt is upper triangular matrix;

Make up the pre-coding matrix of user i

Wherein

Being diagonal matrix, is the power division matrix at user i place;

At two user's transmitting terminals respectively to signal s to be sent _iCarry out precoding and dirty paper code, obtain sending signal

The signal that the relaying place receives is:

$y_r^{\mathrm{DPC}}={\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_1}{\mathrm{\&Lambda;}}_{U_1}{s}_1+{\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_2}{\mathrm{\&Lambda;}}_{U_2}{s}_2+{\mathrm{Tn}}_r$

Wherein,

Be to contain matrix Γ _iThe diagonal matrix of diagonal element; s _iExpression sends to the user from user i

Signal; n _rRepresent the Gaussian noise at relaying place;

(2) during time slot, to being relayed to 1 of user's channel conjugate matrices

With the channel conjugate matrices that are relayed to 2 of users

Adopt associating triangle decomposition at the tenth of the twelve Earthly Branches to obtain:

G _i＝K _iX _iE ^H

Wherein E and K _iBe unitary matrice, E ^HBe the associate matrix of E, X _iIt is upper triangular matrix;

Make up relaying pre-coding matrix F=E Λ _FT ^H, Λ wherein _FBeing diagonal matrix, is the power division matrix at relaying place, T ^HAssociate matrix for T; The signal that relaying receives access slot

Carry out precoding and obtain forward signal $y_r=K_i{X}_i{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_1}{\mathrm{\&Lambda;}}_{U_1}{s}_1+{\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_2}{\mathrm{\&Lambda;}}_{U_2}{s}_2+{\mathrm{Tn}}_r),$ Relaying amplifies forward signal and broadcasts at time slot;

User i receiving broadcast signal, received signal is:

$y_i=K_i{X}_i{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_{\stackrel{\&OverBar;}{i}}}{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+{\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_i}{\mathrm{\&Lambda;}}_{U_i}{s}_i+{\mathrm{Tn}}_r)+n_i$

Wherein, n _iGaussian noise for user i place;

Carry out self-interference and eliminate, obtain:

$y_i^{\&prime;}=K_i{X}_i{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_{\stackrel{\&OverBar;}{i}}}{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+{\mathrm{Tn}}_r)+n_i$

With received signal

Multiply by unitary matrice

Be K _iAssociate matrix, use continuous interference eliminated to get then:

$y_i^{\mathrm{SIC}}={\mathrm{\&Delta;}}_{X_i}{\mathrm{\&Lambda;}}_F({\mathrm{\&Delta;}}_{{\mathrm{\&Gamma;}}_{\stackrel{\&OverBar;}{i}}}{\mathrm{\&Lambda;}}_{U_{\stackrel{\&OverBar;}{i}}}{s}_{\stackrel{\&OverBar;}{i}}+{\mathrm{Tn}}_r)+K_i^H{n}_i$

Wherein, Be to contain matrix X _iThe diagonal matrix of diagonal element.

2. matrix channel parallel method according to claim 1 is characterized in that described system antenna is configured to m ₁=m ₂=l.

3. matrix channel parallel method according to claim 1 and 2 is characterized in that, described dirty paper code is the ZF dirty paper code.

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