CN102035629B - Network coding method based on multi-antenna pre-coded bidirectional relay system - Google Patents

Network coding method based on multi-antenna pre-coded bidirectional relay system Download PDF

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CN102035629B
CN102035629B CN 201010613413 CN201010613413A CN102035629B CN 102035629 B CN102035629 B CN 102035629B CN 201010613413 CN201010613413 CN 201010613413 CN 201010613413 A CN201010613413 A CN 201010613413A CN 102035629 B CN102035629 B CN 102035629B
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base station
user
relaying
matrix
signal
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CN102035629A (en
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王超
陈晓明
王玮
张朝阳
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Zhejiang University ZJU
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Abstract

The invention discloses a network coding method based on a multi-antenna pre-coded bidirectional relay system. A base station and a user pre-code the transmit signals of the base station and the user and send the signals; and then after performing network coding on the received aliasing signals, a relay broadcasts the signals to the base station and the user. In the network coding method based on a bidirectional relay, two time slots are adopted for transmission, wherein in the first time slot, the base station and the user send the pre-coded signals to the relay at the same time; in the second time slot, the relay broadcasts the pre-coded signals; and after receiving the signals, the base station and the user subtract the self signal parts from the broadcast signals and demodulate the left signals so as to acquire the signals from the opposite part. Due to the introduction of multi-antenna pre-coding technology, the characteristic of high capacity of the bidirectional relay is kept and interference caused by bidirectional transmission is reduced, so that the error rate of the system is reduced.

Description

Network coding method based on the bidirectional relay system of many antennas precoding
Technical field
The present invention relates to wireless communication field, relate in particular to a kind of network coding method of the bidirectional relay system based on the precoding of many antennas.
Background technology
Development along with wireless communication technology, International Telecommunications Union (ITU) has proposed very high communicating requirement for the system of broadband wireless communication IMT-Advanced of a new generation, and support very high bandwidth and frequency, therefore cause the area coverage of base station to dwindle.Therefore, in order to reduce networking cost and Extended Cell coverage rate, improve the service quality of Cell Edge User, relaying becomes communications field outline.
The research about relaying technique in early stage is based on one-way communication, namely in a time slot, relaying only transmits for down link (base station is to the user) or the information of up link (user is to the base station), use this transmission method to finish information interaction between base station and user, need 4 time slots.Wherein first time slot sends information by the base station to relaying, and second time slot sends information by relaying to the user, and the 3rd time slot user sends information to relaying, and the 4th time slot relaying sends information to the base station.The introducing of relaying has reduced spectrum efficiency so that script needs the information interaction of 2 time slots to become 4 time slots.The in recent years bi-directional relaying of coding techniques Network Based research becomes focus, because the bi-directional relaying of coding techniques Network Based can be so that the auxiliary communication system of relaying can be finished the transmission of up link and down link in two time slots.First time slot, base station and user send information to relaying simultaneously, and relaying obtains carrying out network code after the aliasing information.Second time slot, relaying is broadcasted the signal of handling well, and user and base station use network coding technique that self signal section is carried out Interference Cancellation after receiving broadcast singal, then can demodulate the signal that self needs from the signal of remainder.Therefore, in relay system, use network coding technique, can significantly promote spectrum efficiency, increase power system capacity.And multiaerial system can strengthen the transmission capacity of system or increase the reliability of transmitting by utilizing spatial reuse gain and space diversity gain under identical bandwidth, is one of key technology of new generation of wireless communication system.Therefore with many antenna relays system of above-mentioned two kinds of technology combinations, the further performance of elevator system.
Summary of the invention
The network coding method that the purpose of this invention is to provide a kind of bidirectional relay system based on the precoding of many antennas, that base station and user carried out precoding according to existing channel status to transmitted signal before transmitted signal, the network coding technique that cooperates relaying to use, significantly reduce the interference of two-way communication, reduced the error rate.
The technical solution used in the present invention is:
Base station and user carry out sending after the precoding to transmitting separately, and then relaying carries out being broadcast to base station and user behind the network code to the aliasing signal that receives; Specifically comprise the steps:
Pre-coding matrix is used in step (1.1) base station
Figure 2010106134139100002DEST_PATH_IMAGE002
To transmitting Carry out precoding processing, the user uses pre-coding matrix simultaneously To transmitting Carry out precoding processing;
Step (1.2) is at first time slot, and base station and user send information after the separately precoding to relaying simultaneously With , relay reception is to aliasing signal
Figure 2010106134139100002DEST_PATH_IMAGE014
, wherein Be the channel of base station to relaying,
Figure 2010106134139100002DEST_PATH_IMAGE018
Be the channel of user to relaying,
Figure 2010106134139100002DEST_PATH_IMAGE020
Reception noise for the relaying place;
Step (1.3) relaying is to aliasing signal
Figure 2010106134139100002DEST_PATH_IMAGE022
Use matrix
Figure 2010106134139100002DEST_PATH_IMAGE024
Carry out forming broadcast singal after the precoding
Figure 2010106134139100002DEST_PATH_IMAGE026
Step (1.4) is at second time slot, repeat transmitted broadcast singal
Figure 2010106134139100002DEST_PATH_IMAGE028
, system works then is relayed to the base station and is respectively to user's channel in the time division duplex environment
Figure 2010106134139100002DEST_PATH_IMAGE030
With
Figure 2010106134139100002DEST_PATH_IMAGE032
, subscript wherein
Figure 2010106134139100002DEST_PATH_IMAGE034
The conjugate transpose of representing matrix, base station and user receive that respectively signal is
Figure 2010106134139100002DEST_PATH_IMAGE036
With
Figure 2010106134139100002DEST_PATH_IMAGE038
,
Wherein With
Figure 2010106134139100002DEST_PATH_IMAGE042
Be respectively the reception noise of base station and user side;
Each deducts self signal section step (1.5) base station and user in the signal of receiving, obtain respectively signal With
Figure 2010106134139100002DEST_PATH_IMAGE046
Step (1.6) base station and user are separately to processing rear signal With
Figure 2010106134139100002DEST_PATH_IMAGE050
Decipher, decoding matrix is respectively
Figure 2010106134139100002DEST_PATH_IMAGE052
With
Figure 2010106134139100002DEST_PATH_IMAGE054
, the decode results that obtains separately is
Figure 2010106134139100002DEST_PATH_IMAGE056
With
Figure 2010106134139100002DEST_PATH_IMAGE058
The inner pre-coding matrix of described step (1.1)
Figure 716974DEST_PATH_IMAGE002
With , the relaying encoder matrix in the step (1.3)
Figure 450761DEST_PATH_IMAGE024
,And the decoding matrix in the step (1.6)
Figure 788201DEST_PATH_IMAGE052
With
Figure 431672DEST_PATH_IMAGE054
Choose, the method for choosing is to satisfy under the condition of transmission power limit at base station, user and relaying, seeks matrix
Figure 829156DEST_PATH_IMAGE002
Figure 197744DEST_PATH_IMAGE024
So that the error rate of system is minimum, namely minimize
Figure 2010106134139100002DEST_PATH_IMAGE060
Wherein Be the minimized function of needs,
Figure 2010106134139100002DEST_PATH_IMAGE064
The mark of representing matrix,
Figure 2010106134139100002DEST_PATH_IMAGE066
The expression mathematic expectaion, base station transmit signals satisfies Power Limitation
Figure 2010106134139100002DEST_PATH_IMAGE068
, the user transmits and satisfies Power Limitation
Figure 2010106134139100002DEST_PATH_IMAGE070
, the repeat transmitted signal satisfies Power Limitation
Figure 2010106134139100002DEST_PATH_IMAGE072
, wherein
Figure 2010106134139100002DEST_PATH_IMAGE074
,
Figure 2010106134139100002DEST_PATH_IMAGE076
With
Figure DEST_PATH_IMAGE078
Be respectively the base station, the transmitting power of user and relaying,
Figure DEST_PATH_IMAGE080
, With
Figure DEST_PATH_IMAGE084
Be respectively the base station, the maximum transmit power limit of user and relaying; Calculation code matrix step is as follows:
(2.1)
Figure 2296DEST_PATH_IMAGE060
Contain
Figure DEST_PATH_IMAGE086
Individual unknown number is designated as vector
Figure DEST_PATH_IMAGE088
, wherein
Figure DEST_PATH_IMAGE090
,
Figure DEST_PATH_IMAGE092
With
Figure DEST_PATH_IMAGE094
Be respectively the base station, the antenna number of user and relaying,
Figure DEST_PATH_IMAGE096
, wherein
Figure DEST_PATH_IMAGE098
Expression launches to embark on journey vector with matrix by row;
(2.2) given Initial Internal Points
Figure DEST_PATH_IMAGE100
, permissible error
Figure DEST_PATH_IMAGE102
, initial parameter
Figure DEST_PATH_IMAGE104
, coefficient of reduction
Figure DEST_PATH_IMAGE106
, put
Figure DEST_PATH_IMAGE108
(2.3) order
Figure DEST_PATH_IMAGE110
, wherein
Figure DEST_PATH_IMAGE112
, with
Figure DEST_PATH_IMAGE114
Be initial point, use the steepest descent method solution
Figure DEST_PATH_IMAGE116
, try to achieve minimal point and be
(2.4) if
Figure DEST_PATH_IMAGE120
Then stop to calculate, obtain a little Otherwise order
Figure DEST_PATH_IMAGE122
, put
Figure DEST_PATH_IMAGE124
, return step (2.3);
The steepest descent method solution in the step (2.3) wherein
Figure DEST_PATH_IMAGE126
Concrete steps are as follows:
(2.3.1) put given initial point
Figure DEST_PATH_IMAGE128
, permissible error
Figure DEST_PATH_IMAGE130
, put
Figure DEST_PATH_IMAGE132
(2.3.2) calculate the direction of search
Figure DEST_PATH_IMAGE134
If (2.3.3)
Figure DEST_PATH_IMAGE136
, then stop to calculate, with season
Figure DEST_PATH_IMAGE138
Otherwise from Set out and carry out linear search, ask Make
Figure DEST_PATH_IMAGE144
(2.3.4) order
Figure DEST_PATH_IMAGE146
, put , go to step (2.3.2).
The beneficial effect that the present invention has is:
Base station and user carried out precoding according to existing channel status to transmitted signal before transmitted signal, the network coding technique that cooperates relaying to use, significantly reduced the interference between two-way communication, reduced the error rate, guaranteed that simultaneously bi-directional relaying itself has the characteristics of high power system capacity.
Description of drawings
Fig. 1 is the entire block diagram of many antennas bi-directional relay network coding system.
Fig. 2 is in the base station, and user and relaying all are equipped with in 2 antenna situations, with the network code performance of precoding with only there is relaying to carry out the error rate comparison diagram of network code.
Embodiment
Many antennas bi-directional relay network coding system as shown in Figure 1, user wherein, base station and relaying all are equipped with many antennas, its quantity is respectively
Figure 985088DEST_PATH_IMAGE092
,
Figure 989953DEST_PATH_IMAGE090
With The base station to the channel of relaying is
Figure 910822DEST_PATH_IMAGE016
, the user to the channel of relaying is , base station and user can by in tdd systems with channel reciprocity or by the feedback obtain channel information, thereby can carry out precoding.Bi-directional relaying carries out two slot transmission, first time slot sends a signal to relaying simultaneously by base station and user, at second time slot broadcast singal, base station and user deduct self part signal and decipher after receiving broadcast singal after relaying carries out network code, obtain the information that needs.Concrete steps are as follows:
Pre-coding matrix is used in step (1.1) base station
Figure 57693DEST_PATH_IMAGE002
To transmitting
Figure 982924DEST_PATH_IMAGE004
Carry out precoding processing, the user uses pre-coding matrix simultaneously
Figure 269548DEST_PATH_IMAGE006
To transmitting
Figure 393362DEST_PATH_IMAGE008
Carry out precoding processing;
Step (1.2) is at first time slot, and base station and user send information after the separately precoding to relaying simultaneously
Figure 677713DEST_PATH_IMAGE010
With
Figure 152557DEST_PATH_IMAGE012
, relay reception is to aliasing signal
Figure 180556DEST_PATH_IMAGE014
, wherein
Figure 925920DEST_PATH_IMAGE016
Be the channel of base station to relaying,
Figure 177910DEST_PATH_IMAGE018
Be the channel of user to relaying,
Figure 77733DEST_PATH_IMAGE020
Reception noise for the relaying place;
Step (1.3) relaying is to aliasing signal
Figure 706160DEST_PATH_IMAGE022
Use matrix
Figure 7828DEST_PATH_IMAGE024
Carry out forming broadcast singal after the precoding
Figure 430719DEST_PATH_IMAGE026
Step (1.4) is at second time slot, repeat transmitted broadcast singal
Figure 817838DEST_PATH_IMAGE028
, system works then is relayed to the base station and is respectively to user's channel in the time division duplex environment
Figure 748492DEST_PATH_IMAGE030
With
Figure 701405DEST_PATH_IMAGE032
, subscript wherein
Figure 498459DEST_PATH_IMAGE034
The conjugate transpose of representing matrix, base station and user receive that respectively signal is
Figure 169612DEST_PATH_IMAGE036
With
Figure 343104DEST_PATH_IMAGE038
,
Wherein
Figure 416103DEST_PATH_IMAGE040
With
Figure 384059DEST_PATH_IMAGE042
Be respectively the reception noise of base station and user side;
Each deducts self signal section step (1.5) base station and user in the signal of receiving, obtain respectively signal
Figure 43972DEST_PATH_IMAGE044
With
Figure 817893DEST_PATH_IMAGE046
Step (1.6) base station and user are separately to processing rear signal
Figure 683081DEST_PATH_IMAGE048
With Decipher, decoding matrix is respectively
Figure 467683DEST_PATH_IMAGE052
With
Figure 779716DEST_PATH_IMAGE054
, the decode results that obtains separately is With
Figure 635600DEST_PATH_IMAGE058
The inner pre-coding matrix of step (1.1)
Figure 768641DEST_PATH_IMAGE002
With
Figure 822048DEST_PATH_IMAGE006
, the relaying encoder matrix in the step (1.3)
Figure 724145DEST_PATH_IMAGE024
,And the decoding matrix in the step (1.6)
Figure 267122DEST_PATH_IMAGE052
With
Figure 559563DEST_PATH_IMAGE054
Choose.The method of choosing is to satisfy under the condition of transmission power limit at base station, user and relaying, seeks matrix
Figure 980442DEST_PATH_IMAGE002
Figure 674729DEST_PATH_IMAGE006
Figure 388607DEST_PATH_IMAGE024
Figure 891449DEST_PATH_IMAGE054
So that the error rate of system is minimum.In order to guarantee optimized characteristic, these 5 parameters are carried out combined optimization can obtain best performance.Concrete grammar is the distance problem that receives signal and original signal that minimizes that uses under the interior point method solution power constraint.Wherein base station transmit signals satisfies Power Limitation
Figure 440242DEST_PATH_IMAGE068
, the user transmits and satisfies Power Limitation
Figure 590601DEST_PATH_IMAGE070
, the repeat transmitted signal satisfies Power Limitation
Figure 418486DEST_PATH_IMAGE072
, wherein
Figure 617386DEST_PATH_IMAGE074
,
Figure 83003DEST_PATH_IMAGE076
With
Figure 404263DEST_PATH_IMAGE078
Be respectively the base station, the transmitting power of user and relaying,
Figure 158592DEST_PATH_IMAGE080
, With
Figure 45088DEST_PATH_IMAGE084
Be respectively the base station, the maximum transmit power limit of user and relaying.And the matrix system of selection that can guarantee error rate of system is the decode results that makes
Figure DEST_PATH_IMAGE150
With
Figure DEST_PATH_IMAGE152
With primary signal
Figure 537249DEST_PATH_IMAGE008
With
Figure 575612DEST_PATH_IMAGE004
Spacing is minimum, namely minimizes
Figure 178632DEST_PATH_IMAGE060
, wherein
Figure 822103DEST_PATH_IMAGE062
Be the minimized function of needs,
Figure 718121DEST_PATH_IMAGE064
The mark of representing matrix,
Figure 447043DEST_PATH_IMAGE066
The expression mathematic expectaion, use interior point method to ask the step of encoder matrix as follows:
(2.1)
Figure 588174DEST_PATH_IMAGE060
Contain
Figure 86152DEST_PATH_IMAGE086
Individual unknown number is designated as vector , wherein
Figure 933071DEST_PATH_IMAGE090
,
Figure 815576DEST_PATH_IMAGE092
With Be respectively the base station, the antenna number of user and relaying,
Figure 674390DEST_PATH_IMAGE096
,Wherein
Figure 174641DEST_PATH_IMAGE098
Expression launches to embark on journey vector with matrix by row;
(2.2) given Initial Internal Points
Figure 657575DEST_PATH_IMAGE100
, permissible error
Figure 130145DEST_PATH_IMAGE102
, initial parameter
Figure 40332DEST_PATH_IMAGE104
, coefficient of reduction
Figure 965563DEST_PATH_IMAGE106
, put
Figure 774160DEST_PATH_IMAGE108
(2.3) order
Figure 101237DEST_PATH_IMAGE110
, wherein
Figure 447904DEST_PATH_IMAGE112
, with
Figure 922748DEST_PATH_IMAGE114
Be initial point, use the steepest descent method solution
Figure 685168DEST_PATH_IMAGE116
, try to achieve minimal point and be
Figure 929067DEST_PATH_IMAGE118
(2.4) if Then stop to calculate, obtain a little
Figure 847924DEST_PATH_IMAGE118
Otherwise order
Figure 476351DEST_PATH_IMAGE122
, put
Figure 512440DEST_PATH_IMAGE124
, return step (2.3);
The steepest descent method solution in the step (2.3) wherein
Figure 200911DEST_PATH_IMAGE126
Concrete steps are as follows:
(2.3.1) put given initial point
Figure 650347DEST_PATH_IMAGE128
, permissible error
Figure 315421DEST_PATH_IMAGE130
, put
Figure 471596DEST_PATH_IMAGE132
(2.3.2) calculate the direction of search
Figure 330967DEST_PATH_IMAGE134
If (2.3.3) , then stop to calculate, with season Otherwise from
Figure 248611DEST_PATH_IMAGE140
Set out and carry out linear search, ask
Figure 216567DEST_PATH_IMAGE142
Make
(2.3.4) order
Figure 322505DEST_PATH_IMAGE146
, put
Figure 515589DEST_PATH_IMAGE148
, go to step (2.3.2).
After calculating above encoder matrix, just can carry out precoding and network code, all parameters carried out the result of global optimization, reduce in the bi-directional relaying because the interference that signal aliasing causes, because the introducing of precoding has reduced the impact of channel, reduced the error rate simultaneously.Emulation by computer shows (seeing Fig. 2), and the method for carrying out simultaneously global optimization by introducing precoding has the lower error rate than only carrying out network code at relaying.

Claims (1)

1. network coding method based on the bidirectional relay system of many antennas precoding, base station and user carry out sending after the precoding to transmitting separately, and then relaying carries out being broadcast to base station and user behind the network code to the aliasing signal that receives; Specifically comprise the steps:
Pre-coding matrix C is used in step (1.1) base station BTo s emission signal s BCarry out precoding processing, the user uses pre-coding matrix C simultaneously UTo s emission signal s UCarry out precoding processing;
Step (1.2) is at first time slot, and base station and user send information x after the separately precoding to relaying simultaneously B=C Bs BAnd x U=C Us U, relay reception is to aliasing signal r=HC Bs B+ GC Us U+ n R, wherein H is the channel that relaying is arrived in the base station, G is the channel of user to relaying, n RReception noise for the relaying place;
Step (1.3) relaying uses matrix W to carry out forming broadcast singal x after the precoding to aliasing signal r R=Wr;
Step (1.4) is at second time slot, repeat transmitted broadcast singal x R, system works then is relayed to the base station and is respectively H to user's channel in the time division duplex environment HAnd G H, subscript () wherein HThe conjugate transpose of representing matrix, base station and user receive that respectively signal is
y B=H HW (HC Bs B+ GC Us U+ n R)+n BAnd y U=G HW (HC Bs B+ GC Us U+ n R)+n U,
N wherein BAnd n UBe respectively the reception noise of base station and user side;
Each deducts self signal section step (1.5) base station and user in the signal of receiving, obtain respectively signal
Figure FDA00001959400400011
With
Figure FDA00001959400400012
Step (1.6) base station and user are separately to processing rear signal With
Figure FDA00001959400400014
Decipher, decoding matrix is respectively D BAnd D U, the decode results that obtains separately is
Figure FDA00001959400400015
With
Figure FDA00001959400400016
It is characterized in that:
The pre-coding matrix C that described step (1.1) is inner BAnd C U, the relaying encoder matrix W in the step (1.3), and the decoding matrix D in the step (1.6) BAnd D UChoose, the method for choosing is to satisfy under the condition of transmission power limit at base station, user and relaying, seeks Matrix C B.C UW D BD USo that the error rate of system is minimum, namely minimize
Figure FDA00001959400400017
D is wherein for needing minimized function, tr{ } mark of representing matrix, E[ ] the expression mathematic expectaion, base station transmit signals satisfies Power Limitation The user transmits and satisfies Power Limitation
Figure FDA00001959400400022
The repeat transmitted signal satisfies Power Limitation
Figure FDA00001959400400023
Con wherein B(C B), Con U(C U) and Con R(C B, C U, W) be respectively the base station, the transmitting power of user and relaying, P B, P UAnd P RBe respectively the base station, the maximum transmit power limit of user and relaying; Calculation code matrix step is as follows:
(2.1)
Figure FDA00001959400400024
Contain
Figure FDA00001959400400025
Individual unknown number is designated as vectorial P, wherein N B, N UAnd N RBe respectively the base station, the antenna number of user and relaying, P=(rvec (C B), rvec (C U), rvec (W), rvec (D B), rvec (D U)), wherein rvec () expression launches to embark on journey vector with matrix by row;
(2.2) given Initial Internal Points P (0), permissible error ε＞0, initial parameter: r 1, coefficient of reduction β ∈ (0,1) puts k=1;
(2.3) order
Figure FDA00001959400400026
I=(B, U, R) wherein is with P (k-1)Be initial point, with steepest descent method solution min D+r kB, trying to achieve minimal point is P (k)
(2.4) if
Figure FDA00001959400400027
Then stop to calculate, obtain a P (k)Otherwise make r K+1=β r k, put k=k+1, return step (2.3);
The steepest descent method solution D ' in the step (2-3)=D+r wherein kThe B concrete steps are as follows:
(2-3.1) put given initial point
Q (1)=P (k-1), l=1 is put in permissible error δ＞0;
(2.3.2) calculate direction of search d (l)=-▽ D ' (Q (l));
If (2.3.3) ‖ d (l)‖≤δ then stops to calculate, with seasonal P (k)=Q (l)Otherwise from d (l)Set out and carry out linear search, ask λ lMake
Figure FDA00001959400400028
(2.3.4) make Q (l+1)=Q (l)+ λ ld (l), put l=l+1, go to step (2.3.2).
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CN102857292B (en) * 2012-09-19 2015-05-20 上海交通大学 Multi-user bidirectional relay transmission system and multi-user bidirectional relay transmission method
CN102882655B (en) * 2012-10-29 2015-06-17 北京邮电大学 Base station and user combined transmission method of multi-antenna system based on network code
CN103516484B (en) * 2013-10-09 2017-04-12 中国计量学院 Orthogonality difference space-time network coding method of double-direction relay channel model
CN104981004B (en) * 2015-05-25 2018-05-08 北京理工大学 Transceiver efficiency optimization method and device based on multi-user's bidirectional relay system
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