CN102281129A - Information processing method in MIMO two-way relay system - Google Patents

Information processing method in MIMO two-way relay system Download PDF

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CN102281129A
CN102281129A CN2011102311957A CN201110231195A CN102281129A CN 102281129 A CN102281129 A CN 102281129A CN 2011102311957 A CN2011102311957 A CN 2011102311957A CN 201110231195 A CN201110231195 A CN 201110231195A CN 102281129 A CN102281129 A CN 102281129A
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matrix
source node
relaying
channel
signal
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邹俊
伊海珂
张萌
钱成
刘伟
罗汉文
俞晖
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Shanghai Jiaotong University
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Shanghai Jiaotong University
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Abstract

The invention, which belongs to the wireless communication technology field, discloses an information processing method in a multiple-input multiple-output (MIMO) two-way relay system. The method comprises the following steps that: a source node 1 emits a training sequence to a relay and the relay carries out channel estimation processing to obtain an estimation channel and an estimation error variance between the source node 1 and the relay; a source node 2 emits a training sequence to the relay and the relay carries out channel estimation processing to obtain an estimation channel and an estimation error variance between the source node 2 and the relay; according to the obtained channels, the relay calculates a relay processing matrix and receiving matrixes of nodes by utilizing an iterative algorithm; source nodes respectively emit signals to the relay; the relay carries out linear processing on the signals and forwards the processed signals to two destination nodes; the two destination nodes carry out self-interference eliminating processing; and the nodes carry out detection processing on the signals that have been processed by the self-interference eliminating processing to complete information exchange between the two source nodes. According to the invention, a channel estimation error is considered, so that a mean squared error and a bit error rate performance of a system can be effectively improved.

Description

Information processing method in the two-way relay system of MIMO
Technical field
The present invention relates to the MIMO(Multiple-Input Multiple-Output of radio communication, multiple-input and multiple-output) and two-way relaying technique field, specifically be based on ANC(Analog Network Coding, analog network coding) AF(Amplify-and-Forward, amplification-forwarding) in the two-way relay system of MIMO, the method for a kind of via node and destination node Combined Treatment information.
Background technology
Undertaken by relaying in the system of two-way communication, two source nodes are by the via node exchange message, and therefore two source nodes also are respectively destination nodes each other, referring to Fig. 1.In order to improve the throughput of system, relaying can adopt ANC(Analog Network Coding, analog network coding) technology, only need two time slots just can finish two information exchanges between source node.When adopting ANC, at first time slot, two source nodes send information to via node simultaneously, and at second time slot, relaying amplifies the superposed signal that receives and is transmitted to two destination nodes.When source node is grasped complete CSI(Channel State Information, channel condition information) time, they can remove the signal section of oneself from the signal that receives, detect the data of another source node emission then.In addition, source node and via node can be installed a plurality of antennas, further improve systematic function in conjunction with the MIMO technology.In mimo system,, need design the signal processing technology of transmitting terminal according to channel condition information in order to make full use of the system gain that the MIMO technology is brought.Yet in real system, CSI estimates to obtain by the pilot signal training, because the time variation of channel and the existence of noise, channel estimation errors always exists.
Through existing literature search is found, R. Wang and M. Tao, " Joint source and relay precoding designs for MIMO two-way relay systems; " In Proc. of IEEE Int. Conf. Communications, Kyoto, Japan, Jun. 2011 (" the associating preliminary treatment of source and relaying design in the two-way relay system of MIMO; " the IEEE international communication conference, the capital of a country, Japan, 2011.6), source node and via node all are equipped with a plurality of antennas in the document, supposing the system is grasped complete CSI, source node can be from received signal be eliminated the interference that the signal of own emission brings fully, and the signal processing technology of co-design source and relaying is not still considered the influence that channel estimation errors brings with the mean square error of minimized detection signal.
Summary of the invention
The present invention is directed to the deficiencies in the prior art, information processing method in the two-way relay system of a kind of MIMO is provided, in the two-way relay system of AF MIMO based on ANC, according to MMSE(Minimum Mean Squared Error, least mean-square error) criterion, designed the united information of relaying and destination node and handled scheme, this scheme has taken into full account channel estimation errors, can effectively improve the mean square error and the bit error rate performance of system.
The present invention is achieved by the following technical solutions, the present invention includes following steps:
The first step, source node 1 is to the repeat transmitted training sequence , relaying is according to the signal that receives
Figure 800945DEST_PATH_IMAGE002
, carry out channel estimation process, obtain the estimation channel between source node 1 and the relaying
Described channel estimation process is:
Figure 406501DEST_PATH_IMAGE004
Wherein:
Figure 2011102311957100002DEST_PATH_IMAGE005
Be the antenna number of source node 1,
Figure 954549DEST_PATH_IMAGE006
Be the signal to noise ratio of training sequence,
Figure 2011102311957100002DEST_PATH_IMAGE007
Be training sequence,
Figure 100491DEST_PATH_IMAGE008
Be the length of training sequence,
Figure 2011102311957100002DEST_PATH_IMAGE009
Be the signal that relaying receives,
Figure 852546DEST_PATH_IMAGE010
It is the antenna number of relaying;
Figure 2011102311957100002DEST_PATH_IMAGE011
Be
Figure 425741DEST_PATH_IMAGE012
Unit matrix; Expression
Figure 381190DEST_PATH_IMAGE014
The complex matrix space; Expression
Figure 324963DEST_PATH_IMAGE001
Conjugate transpose.
The channel estimation error variance that causes is handled in this estimation
Figure 869208DEST_PATH_IMAGE016
。
In second step, source node 2 is to the repeat transmitted training sequence , relaying is according to the signal that receives
Figure 800255DEST_PATH_IMAGE018
, carry out channel estimation process, obtain the estimation channel between source node 2 and the relaying
Figure 2011102311957100002DEST_PATH_IMAGE019
Described channel estimation process is:
Figure 305317DEST_PATH_IMAGE020
Wherein:
Figure 917695DEST_PATH_IMAGE005
Be the antenna number of source node 2,
Figure 2011102311957100002DEST_PATH_IMAGE021
Be the signal to noise ratio of training sequence, Be training sequence,
Figure 428847DEST_PATH_IMAGE008
Be the length of training sequence,
Figure 2011102311957100002DEST_PATH_IMAGE023
Be the signal that relaying receives, It is the antenna number of relaying;
Figure 634011DEST_PATH_IMAGE011
Be
Figure 152848DEST_PATH_IMAGE012
Unit matrix;
Figure 301064DEST_PATH_IMAGE013
Expression
Figure 905352DEST_PATH_IMAGE014
The complex matrix space;
Figure 853673DEST_PATH_IMAGE024
Expression
Figure 227017DEST_PATH_IMAGE017
Conjugate transpose.
The channel estimation error variance that causes is handled in this estimation
Figure 2011102311957100002DEST_PATH_IMAGE025
。
In the 3rd step, relaying is according to the channel of estimating to obtain, using iterative algorithm computation relay process matrix
Figure 936347DEST_PATH_IMAGE026
, and the receiving matrix of purpose (source) node 1 and purpose (source) node 2
Figure 2011102311957100002DEST_PATH_IMAGE027
With
Figure 637718DEST_PATH_IMAGE028
Described iterative algorithm is:
(1) initialization,
Figure 2011102311957100002DEST_PATH_IMAGE029
, the current iteration number of times is set
In the above-mentioned formula:
Figure 2011102311957100002DEST_PATH_IMAGE031
Expression
Figure 329433DEST_PATH_IMAGE032
Unit matrix, subscript
Figure 2011102311957100002DEST_PATH_IMAGE033
The conjugate transpose of representing matrix,
Figure 209664DEST_PATH_IMAGE034
The mark of representing matrix;
Be repeat transmitted power;
Figure 398331DEST_PATH_IMAGE036
, and
Figure 2011102311957100002DEST_PATH_IMAGE037
,
Figure 569681DEST_PATH_IMAGE038
, wherein
Figure 2011102311957100002DEST_PATH_IMAGE039
Representing matrix
Figure 792983DEST_PATH_IMAGE040
Conjugate transpose,
Figure 2011102311957100002DEST_PATH_IMAGE041
Representing matrix
Figure 588989DEST_PATH_IMAGE019
Conjugate transpose;
Figure 389586DEST_PATH_IMAGE042
It is the covariance matrix that relaying receives noise;
Figure 2011102311957100002DEST_PATH_IMAGE043
It is source node
Figure 2011102311957100002DEST_PATH_IMAGE045
The covariance matrix that transmits;
Figure 426943DEST_PATH_IMAGE046
It is source node
Figure 363806DEST_PATH_IMAGE045
Line correlation matrix with the channel matrix of relay well;
Figure 2011102311957100002DEST_PATH_IMAGE047
, wherein
Figure 336572DEST_PATH_IMAGE048
It is source node
Figure 618606DEST_PATH_IMAGE045
With the row correlation matrix of the channel matrix of relay well,
Figure 2011102311957100002DEST_PATH_IMAGE049
It is channel estimation error variance.
(2) calculate
Figure 397337DEST_PATH_IMAGE027
With
Figure 641237DEST_PATH_IMAGE028
,
Figure 706276DEST_PATH_IMAGE050
Figure 2011102311957100002DEST_PATH_IMAGE051
In the following formula:
Figure 356831DEST_PATH_IMAGE052
,
Figure 2011102311957100002DEST_PATH_IMAGE053
Figure 611357DEST_PATH_IMAGE037
, , wherein
Figure 18473DEST_PATH_IMAGE039
Representing matrix
Figure 280958DEST_PATH_IMAGE040
Conjugate transpose,
Figure 526126DEST_PATH_IMAGE041
Representing matrix
Figure 292087DEST_PATH_IMAGE019
Conjugate transpose;
；
；
Figure 511027DEST_PATH_IMAGE056
With
Figure 2011102311957100002DEST_PATH_IMAGE057
It is respectively the covariance matrix of the reception noise of purpose (source) node 1 and purpose (source) node 2;
Subscript The conjugate transpose of representing matrix, subscript
Figure 276561DEST_PATH_IMAGE058
Representing matrix contrary.
(3) calculate
Figure 119883DEST_PATH_IMAGE026
,
Figure 2011102311957100002DEST_PATH_IMAGE059
In the following formula:
Figure 966748DEST_PATH_IMAGE060
；
；
Figure 429084DEST_PATH_IMAGE062
，
Figure 2011102311957100002DEST_PATH_IMAGE063
；
Figure 231955DEST_PATH_IMAGE064
Should satisfy
Figure 2011102311957100002DEST_PATH_IMAGE065
And
Figure 574480DEST_PATH_IMAGE037
,
Figure 637245DEST_PATH_IMAGE038
；
Figure 497884DEST_PATH_IMAGE039
Representing matrix
Figure 683009DEST_PATH_IMAGE040
Conjugate transpose,
Figure 629100DEST_PATH_IMAGE041
Representing matrix
Figure 557873DEST_PATH_IMAGE019
Conjugate transpose;
Figure 267159DEST_PATH_IMAGE042
It is the covariance matrix that relaying receives noise;
Figure 810136DEST_PATH_IMAGE043
It is source node
Figure 977943DEST_PATH_IMAGE045
The covariance matrix that transmits;
It is source node Line correlation matrix with the channel matrix of relay well;
Figure 806987DEST_PATH_IMAGE047
, wherein
Figure 727670DEST_PATH_IMAGE048
It is source node
Figure 935929DEST_PATH_IMAGE045
With the row correlation matrix of the channel matrix of relay well,
Figure 360088DEST_PATH_IMAGE049
Be channel estimation error variance,
Figure 2011102311957100002DEST_PATH_IMAGE067
It is source node
Figure 193003DEST_PATH_IMAGE045
And the estimation channel between the relaying;
Subscript
Figure 335402DEST_PATH_IMAGE068
The transposition of representing matrix, subscript
Figure 596619DEST_PATH_IMAGE033
The conjugate transpose of representing matrix,
Figure 2011102311957100002DEST_PATH_IMAGE069
Expression is write matrix as vector form by row,
Figure 750651DEST_PATH_IMAGE070
The Kronecker of representing matrix is long-pending.
(4)
Figure 2011102311957100002DEST_PATH_IMAGE071
If,
Figure 698010DEST_PATH_IMAGE072
, repeat (2) (3); Otherwise withdraw from algorithm.
Wherein: Be maximum iteration time.
In the 4th step, source node 1 and source node 2 are respectively to the repeat transmitted signal
Figure 220650DEST_PATH_IMAGE074
With
Figure 2011102311957100002DEST_PATH_IMAGE075
In the 5th step, relaying to the received signal
Figure 708394DEST_PATH_IMAGE076
Carry out linear process, obtain signal
Figure 2011102311957100002DEST_PATH_IMAGE077
, and with signal
Figure 169462DEST_PATH_IMAGE078
Be transmitted to two destination nodes, wherein
Figure 474673DEST_PATH_IMAGE078
Be Conjugation.
Described linear process is meant:
Figure 2011102311957100002DEST_PATH_IMAGE079
In the 6th step, two destination nodes are carried out self-interference respectively to received signal and are eliminated processing, obtain signal
Figure 617520DEST_PATH_IMAGE080
With
Figure 2011102311957100002DEST_PATH_IMAGE081
Described self-interference is eliminated and is handled, and is meant:
Figure 2011102311957100002DEST_PATH_IMAGE083
In the following formula: With
Figure 2011102311957100002DEST_PATH_IMAGE085
Be respectively the received signal of purpose (source) node 1 and purpose (source) node 2,
Figure 696051DEST_PATH_IMAGE039
Representing matrix Conjugate transpose,
Figure 23575DEST_PATH_IMAGE041
Representing matrix
Figure 342692DEST_PATH_IMAGE019
Conjugate transpose.
In the 7th step, source node 1 and 2 is used receiving matrix respectively
Figure 428417DEST_PATH_IMAGE027
With
Figure 186288DEST_PATH_IMAGE028
To signal
Figure 414138DEST_PATH_IMAGE080
With
Figure 232053DEST_PATH_IMAGE081
Detect processing, obtain signal
Figure 545354DEST_PATH_IMAGE086
With
Figure 2011102311957100002DEST_PATH_IMAGE087
Described detection is handled, and is:
Figure 903654DEST_PATH_IMAGE088
Figure 2011102311957100002DEST_PATH_IMAGE089
Compared with prior art, the invention has the beneficial effects as follows: when the signal processing scheme of design relaying and destination node, considered channel estimation errors, can improve the mean square error and the bit error rate performance of real system effectively.
Description of drawings
Fig. 1 is the two-way relay system schematic diagram of MIMO;
Fig. 2 is the mean square error performance map of the embodiment of the invention;
Fig. 3 is the bit error rate performance figure of the embodiment of the invention.
Embodiment
Below provide specific embodiments of the invention, this embodiment implements under the prerequisite, provided concrete execution mode and concrete operating process, but protection scope of the present invention is not limited to following example.
The antenna number of source node 1 and source node 2 is , the antenna number of relaying
Figure 2011102311957100002DEST_PATH_IMAGE091
Symbol waiting for transmission is the BPSK(Binary Phase Shift Keying that generates at random, biphase phase shift keying) modulation symbol, the covariance matrix that transmits of source node 1 and source node 2 is
Figure 719699DEST_PATH_IMAGE092
The channel of source node and relay well all is Rayleigh (Rayleigh) flat fading, source node
Figure 457979DEST_PATH_IMAGE045
( ) and relaying between the line correlation matrix of channel matrix
Figure 433020DEST_PATH_IMAGE046
Figure 635462DEST_PATH_IMAGE094
Row The element of row is
Figure 2011102311957100002DEST_PATH_IMAGE097
, the row correlation matrix
Figure 613253DEST_PATH_IMAGE094
Row
Figure 670202DEST_PATH_IMAGE096
The element of row is , get
Figure 2011102311957100002DEST_PATH_IMAGE099
The reception noise of relaying and destination node is the zero-mean white complex gaussian noise, and its covariance matrix is respectively
Figure 651375DEST_PATH_IMAGE100
,
Figure 2011102311957100002DEST_PATH_IMAGE101
Define first time slot (the 4th step) and second time slot (the 5th goes on foot) signal to noise ratio is respectively ,
Figure 2011102311957100002DEST_PATH_IMAGE103
, wherein,
Figure 686864DEST_PATH_IMAGE104
Be the transmitting power of source node, and
Figure 2011102311957100002DEST_PATH_IMAGE105
The first step, source node 1 is to the repeat transmitted training sequence
Figure 63749DEST_PATH_IMAGE001
, relaying is according to the signal that receives
Figure 326235DEST_PATH_IMAGE002
, carry out channel estimation process, obtain the estimation channel between source node 1 and the relaying
Training sequence length
Figure 337364DEST_PATH_IMAGE106
, the signal to noise ratio of training sequence
Figure 2011102311957100002DEST_PATH_IMAGE107
, obtain estimating channel
Figure 72102DEST_PATH_IMAGE004
The channel estimation error variance that causes is handled in this estimation
。
In second step, source node 2 is to the repeat transmitted training sequence
Figure 599303DEST_PATH_IMAGE017
, relaying is according to the signal that receives
Figure 485351DEST_PATH_IMAGE018
, carry out channel estimation process, obtain the estimation channel between source node 2 and the relaying
Figure 328673DEST_PATH_IMAGE019
Training sequence length
Figure 237854DEST_PATH_IMAGE106
, the signal to noise ratio of training sequence , obtain estimating channel
Figure 434612DEST_PATH_IMAGE020
The channel estimation error variance that causes is handled in this estimation
Figure 440745DEST_PATH_IMAGE110
。
In the 3rd step, relaying is according to the channel of estimating to obtain, using iterative algorithm computation relay process matrix
Figure 454968DEST_PATH_IMAGE026
, and the receiving matrix of purpose (source) node 1 and purpose (source) node 2
Figure 907903DEST_PATH_IMAGE027
With
Figure 32985DEST_PATH_IMAGE028
The 4th the step, source node 1 and source node 2 at same time slot respectively to the repeat transmitted signal
Figure 80576DEST_PATH_IMAGE074
With
Figure 265700DEST_PATH_IMAGE075
In the 5th step, relaying to the received signal
Figure 211791DEST_PATH_IMAGE076
Carry out linear process, obtain signal
Figure 140564DEST_PATH_IMAGE077
, and with signal
Figure 855710DEST_PATH_IMAGE078
Be transmitted to two destination nodes,, wherein
Figure 149419DEST_PATH_IMAGE078
Be
Figure 379543DEST_PATH_IMAGE077
Conjugation,
Figure 129585DEST_PATH_IMAGE079
In the 6th step, two destination nodes are carried out self-interference respectively to received signal and are eliminated processing, obtain signal
Figure 699238DEST_PATH_IMAGE080
With ,
Figure 84531DEST_PATH_IMAGE082
Figure 355107DEST_PATH_IMAGE083
In the 7th step, purpose (source) node 1 and purpose (source) node 2 are used receiving matrix respectively
Figure 779266DEST_PATH_IMAGE027
With
Figure 929624DEST_PATH_IMAGE028
To signal
Figure 72024DEST_PATH_IMAGE080
With
Figure 818394DEST_PATH_IMAGE081
Detect processing, obtain signal
Figure 549590DEST_PATH_IMAGE086
With
Figure 615723DEST_PATH_IMAGE087
,
Figure 979839DEST_PATH_IMAGE088
Figure 44747DEST_PATH_IMAGE089
Fig. 2 is a mean square error performance map of the present invention, and the antenna number of source node 1 and source node 2 is , the relaying antenna number
Figure 420813DEST_PATH_IMAGE091
Actual channel matrix is
Figure 2011102311957100002DEST_PATH_IMAGE111
With , and
Figure 2011102311957100002DEST_PATH_IMAGE113
,
Figure 891557DEST_PATH_IMAGE114
, wherein
Figure 2011102311957100002DEST_PATH_IMAGE115
With
Figure 14322DEST_PATH_IMAGE116
Each element be respectively independently the multiple Gaussian random variable of zero-mean unit variance.Generated 5000 secondary channels altogether at random, during each channel is realized, 1000 BPSK(Binary Phase of the sub-flow transmission of each of each node Shift Keying, biphase phase shift keying) modulation symbol.The variance of channel estimation errors is
Figure 2011102311957100002DEST_PATH_IMAGE117
The scheme and the document R. Wang and M. Tao of the present invention's proposition, " Joint source and relay precoding designs for MIMO two-way relay systems; " IEEE Int. Conf. Communications, Kyoto, Japan, Jun. 2011 (" the associating preliminary treatment of source and relaying design in the two-way relay system of MIMO; " the IEEE international communication conference, the capital of a country, Japan, 2011.6) in do not consider that the relaying of channel estimation errors and the scheme of destination node Combined Treatment compare, and in the document source node transmit identical with the present invention program.As we can see from the figure, the present invention program has improved the mean square error performance of system effectively, and along with signal to noise ratio increases, this performance advantage is also more obvious.
Fig. 3 is bit error rate performance figure of the present invention, and as we can see from the figure, the present invention program has improved the bit error rate performance of system effectively, and along with signal to noise ratio increases, this performance advantage is also more obvious.
Although content of the present invention has been done detailed introduction by above preferred embodiment, will be appreciated that above-mentioned description should not be considered to limitation of the present invention.After those skilled in the art have read foregoing, for multiple modification of the present invention with to substitute all will be conspicuous.Therefore, protection scope of the present invention should be limited to the appended claims.

Claims (7)

1. the information processing method in the two-way relay system of MIMO is characterized in that may further comprise the steps:
The first step, source node 1 is to the repeat transmitted training sequence , relaying is according to the signal that receives
Figure 2011102311957100001DEST_PATH_IMAGE002
, carry out channel estimation process, obtain the estimation channel between source node 1 and the relaying
Figure 2011102311957100001DEST_PATH_IMAGE003
In second step, source node 2 is to the repeat transmitted training sequence
Figure 2011102311957100001DEST_PATH_IMAGE004
, relaying is according to the signal that receives , carry out channel estimation process, obtain the estimation channel between source node 2 and the relaying
Figure 2011102311957100001DEST_PATH_IMAGE006
In the 3rd step, relaying is according to the channel of estimating to obtain, using iterative algorithm computation relay process matrix , and the receiving matrix of purpose or source node 1 and purpose or source node 2 With
Figure 2011102311957100001DEST_PATH_IMAGE009
In the 4th step, source node 1 and source node 2 are respectively to the repeat transmitted signal
Figure 2011102311957100001DEST_PATH_IMAGE010
With
Figure 2011102311957100001DEST_PATH_IMAGE011
In the 5th step, relaying to the received signal
Figure 2011102311957100001DEST_PATH_IMAGE012
Carry out linear process, obtain signal
Figure 2011102311957100001DEST_PATH_IMAGE013
, and with signal
Figure 2011102311957100001DEST_PATH_IMAGE014
Be transmitted to two destination nodes, wherein
Figure 234370DEST_PATH_IMAGE014
Be
Figure 637538DEST_PATH_IMAGE013
Conjugation;
In the 6th step, two destination nodes are carried out self-interference respectively to received signal and are eliminated processing, obtain signal
Figure 2011102311957100001DEST_PATH_IMAGE015
With
Figure 2011102311957100001DEST_PATH_IMAGE016
In the 7th step, purpose or source node 1 and purpose or source node 2 are used receiving matrix respectively
Figure 457727DEST_PATH_IMAGE008
With
Figure 997162DEST_PATH_IMAGE009
To signal
Figure 939710DEST_PATH_IMAGE015
With
Figure 315327DEST_PATH_IMAGE016
Detect processing, obtain signal
Figure 2011102311957100001DEST_PATH_IMAGE017
With
Figure 2011102311957100001DEST_PATH_IMAGE018
2. the information processing method in the two-way relay system of MIMO according to claim 1 is characterized in that, the channel estimation process between described source node 1 of the first step and the relaying is:
Figure 2011102311957100001DEST_PATH_IMAGE019
Figure 2011102311957100001DEST_PATH_IMAGE020
Wherein:
Figure 2011102311957100001DEST_PATH_IMAGE021
Be the antenna number of source node 1,
Figure 2011102311957100001DEST_PATH_IMAGE022
Be the signal to noise ratio of training sequence,
Figure 2011102311957100001DEST_PATH_IMAGE023
Training sequence,
Figure 2011102311957100001DEST_PATH_IMAGE024
Be the length of training sequence,
Figure 2011102311957100001DEST_PATH_IMAGE025
Be the signal that relaying receives,
Figure 2011102311957100001DEST_PATH_IMAGE026
It is the antenna number of relaying;
Figure 2011102311957100001DEST_PATH_IMAGE027
Be
Figure 2011102311957100001DEST_PATH_IMAGE028
Unit matrix;
Figure 2011102311957100001DEST_PATH_IMAGE029
Expression
Figure 2011102311957100001DEST_PATH_IMAGE030
The complex matrix space,
Figure 2011102311957100001DEST_PATH_IMAGE031
Handle the channel estimation error variance that causes for this estimation;
Figure 2011102311957100001DEST_PATH_IMAGE032
Expression
Figure 237409DEST_PATH_IMAGE001
Conjugate transpose.
3. the information processing method in the two-way relay system of MIMO according to claim 1 is characterized in that, the channel estimation process between described source node 2 of second step and the relaying is:
Figure 2011102311957100001DEST_PATH_IMAGE033
Figure 2011102311957100001DEST_PATH_IMAGE034
Wherein:
Figure 888141DEST_PATH_IMAGE021
Be the antenna number of source node 2, Be the signal to noise ratio of training sequence, Be training sequence,
Figure 860645DEST_PATH_IMAGE024
Be the length of training sequence, Be the signal that relaying receives,
Figure 723558DEST_PATH_IMAGE026
It is the antenna number of relaying;
Figure 947866DEST_PATH_IMAGE027
Be
Figure 461893DEST_PATH_IMAGE028
Unit matrix;
Figure 746244DEST_PATH_IMAGE029
Expression The complex matrix space, Handle the channel estimation error variance that causes for this estimation;
Figure 2011102311957100001DEST_PATH_IMAGE039
Expression
Figure 45824DEST_PATH_IMAGE004
Conjugate transpose.
4. the information processing method in the two-way relay system of MIMO according to claim 1 is characterized in that, described iterative algorithm of the 3rd step, and concrete steps are as follows:
(1) initialization,
Figure 2011102311957100001DEST_PATH_IMAGE040
, the current iteration number of times is set
In the following formula: Expression
Figure 2011102311957100001DEST_PATH_IMAGE043
Unit matrix, subscript
Figure 2011102311957100001DEST_PATH_IMAGE044
The conjugate transpose of representing matrix, The mark of representing matrix;
Be repeat transmitted power;
Figure 2011102311957100001DEST_PATH_IMAGE047
, and
,
Figure 2011102311957100001DEST_PATH_IMAGE049
, wherein
Figure 2011102311957100001DEST_PATH_IMAGE050
Representing matrix
Figure 2011102311957100001DEST_PATH_IMAGE051
Conjugate transpose,
Figure 2011102311957100001DEST_PATH_IMAGE052
Representing matrix
Figure 541921DEST_PATH_IMAGE006
Conjugate transpose;
Figure 2011102311957100001DEST_PATH_IMAGE053
It is the covariance matrix that relaying receives noise;
Figure 2011102311957100001DEST_PATH_IMAGE054
It is source node
Figure 2011102311957100001DEST_PATH_IMAGE055
The covariance matrix that transmits;
It is source node
Figure 311687DEST_PATH_IMAGE055
Line correlation matrix with the channel matrix of relay well;
Figure 2011102311957100001DEST_PATH_IMAGE057
, wherein
Figure 2011102311957100001DEST_PATH_IMAGE058
It is source node
Figure 149193DEST_PATH_IMAGE055
With the row correlation matrix of the channel matrix of relay well,
Figure 2011102311957100001DEST_PATH_IMAGE059
Be channel estimation error variance,
Figure 2011102311957100001DEST_PATH_IMAGE060
It is source node
Figure 839938DEST_PATH_IMAGE055
And the estimation channel between the relaying;
(2) calculate
Figure 876027DEST_PATH_IMAGE008
With
Figure 689131DEST_PATH_IMAGE009
,
Figure 2011102311957100001DEST_PATH_IMAGE062
In the following formula:
Figure 2011102311957100001DEST_PATH_IMAGE063
,
Figure 200884DEST_PATH_IMAGE048
,
Figure 242789DEST_PATH_IMAGE049
, wherein
Figure 398964DEST_PATH_IMAGE050
Representing matrix
Figure 385899DEST_PATH_IMAGE051
Conjugate transpose,
Figure 994735DEST_PATH_IMAGE052
Representing matrix
Figure 105910DEST_PATH_IMAGE006
Conjugate transpose;
；
；
Figure 2011102311957100001DEST_PATH_IMAGE067
With
Figure 2011102311957100001DEST_PATH_IMAGE068
It is respectively the covariance matrix of the reception noise of purpose or source node 1 and purpose or source node 2;
Subscript
Figure 241225DEST_PATH_IMAGE044
The conjugate transpose of representing matrix, subscript
Figure 2011102311957100001DEST_PATH_IMAGE069
Representing matrix contrary,
Figure 396132DEST_PATH_IMAGE045
The mark of representing matrix;
(3) calculate
Figure 429947DEST_PATH_IMAGE007
,
Figure 2011102311957100001DEST_PATH_IMAGE070
In the following formula: subscript The transposition of representing matrix, Expression is write matrix as vector form by row;
Figure 2011102311957100001DEST_PATH_IMAGE073
；
Figure 2011102311957100001DEST_PATH_IMAGE074
；
Figure 2011102311957100001DEST_PATH_IMAGE075
，
Figure 2011102311957100001DEST_PATH_IMAGE076
；
Figure 2011102311957100001DEST_PATH_IMAGE077
Should satisfy And
Figure 139339DEST_PATH_IMAGE048
,
Figure 207789DEST_PATH_IMAGE049
；
Figure 346646DEST_PATH_IMAGE050
Representing matrix
Figure 117025DEST_PATH_IMAGE051
Conjugate transpose, Representing matrix
Figure 289697DEST_PATH_IMAGE006
Conjugate transpose;
Figure 599456DEST_PATH_IMAGE053
It is the covariance matrix that relaying receives noise;
Figure 857131DEST_PATH_IMAGE054
It is source node
Figure 910537DEST_PATH_IMAGE055
The covariance matrix that transmits;
Figure 688001DEST_PATH_IMAGE056
It is source node
Figure 168661DEST_PATH_IMAGE055
Line correlation matrix with the channel matrix of relay well;
Figure 650982DEST_PATH_IMAGE057
, wherein
Figure 508080DEST_PATH_IMAGE058
It is source node
Figure 140049DEST_PATH_IMAGE055
With the row correlation matrix of the channel matrix of relay well,
Figure 791610DEST_PATH_IMAGE059
Be channel estimation error variance,
Figure 23877DEST_PATH_IMAGE060
It is source node
Figure 419087DEST_PATH_IMAGE055
And the estimation channel between the relaying;
Subscript
Figure 905563DEST_PATH_IMAGE071
The transposition of representing matrix, subscript
Figure 993605DEST_PATH_IMAGE044
The conjugate transpose of representing matrix,
Figure 447589DEST_PATH_IMAGE072
Expression is write matrix as vector form by row, The Kronecker of representing matrix is long-pending;
(4)
Figure 2011102311957100001DEST_PATH_IMAGE081
If,
Figure 2011102311957100001DEST_PATH_IMAGE082
, repeat (2) (3); Otherwise withdraw from algorithm, wherein:
Figure 2011102311957100001DEST_PATH_IMAGE083
Be maximum iteration time.
5. the information processing method in the two-way relay system of MIMO according to claim 1 is characterized in that, described linear process of the 5th step is meant:
Figure 2011102311957100001DEST_PATH_IMAGE084
。
6. the information processing method in the two-way relay system of MIMO according to claim 1 is characterized in that, described self-interference was eliminated and handled the 6th step, was:
Figure 2011102311957100001DEST_PATH_IMAGE085
In the following formula:
Figure 2011102311957100001DEST_PATH_IMAGE087
With
Figure 2011102311957100001DEST_PATH_IMAGE088
Be respectively the received signal of purpose or source node 1 and purpose or source node 2,
Figure 570790DEST_PATH_IMAGE050
Representing matrix Conjugate transpose,
Figure 685562DEST_PATH_IMAGE052
Representing matrix
Figure 174312DEST_PATH_IMAGE006
Conjugate transpose.
7. the information processing method in the two-way relay system of MIMO according to claim 1 is characterized in that, the described detection of the 7th step is handled, and is meant:
Figure 2011102311957100001DEST_PATH_IMAGE089
Figure 2011102311957100001DEST_PATH_IMAGE090
。
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