CN108900225A - A kind of bi-directional full-duplex MIMO relay antenna selection safe transmission method - Google Patents
A kind of bi-directional full-duplex MIMO relay antenna selection safe transmission method Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/0413—MIMO systems
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/022—Site diversity; Macro-diversity
- H04B7/026—Co-operative diversity, e.g. using fixed or mobile stations as relays
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
- H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
- H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
- H04B7/0619—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
- H04B7/0621—Feedback content
- H04B7/0626—Channel coefficients, e.g. channel state information [CSI]
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Abstract
The invention discloses a kind of bi-directional full-duplex MIMO relay antennas to select safe transmission method, and the full duplex MIMO relay system includes user A, user B, relaying and listener-in, and user A, user B, relaying R and listener-in E configure multiple antennas, including：Obtain transmission antenna, the transmission antenna of user B and the receiving antenna of relaying of user A；Obtain receiving antenna, the receiving antenna of user B and the transmission antenna of relaying of user A；The transmission antenna of transmission antenna and receiving antenna, user B based on user A and the receiving antenna and transmission antenna of receiving antenna and relaying obtain received signal to noise ratio, the received signal to noise ratio of user B and the reception Signal to Interference plus Noise Ratio of listener-in E of user A；The received signal to noise ratio of received signal to noise ratio, user B based on user A and the reception Signal to Interference plus Noise Ratio of listener-in E obtain the instantaneous safe capacity of full duplex MIMO relay system.The present invention sends and receives antenna by the way that selection is optimal, can effectively improve the safe capacity of whole system.
Description
Technical field
The present invention relates to wireless communication and safety of physical layer field, in particular to a kind of bi-directional full-duplex MIMO (multi inputs
Multi output) relay antenna selection safe transmission method.
Background technique
In the development course of wireless communication technique, various safety communication technologies also develop therewith.And physical layer therein
Channel coding technology of the safety based on Shannon theory realizes information using the spatial character and time-varying characteristics of wireless channel complexity
Safe transmission.The concept and its index of correlation of the proposition safety of physical layer of Wyner originality[1].Then, safety of physical layer technology
Fast development, especially relay cooperative communication technology and Antenna Selection Technology are just more and more for the biography that ensures information safety
It is defeated.
Compare and conventional wireless communication network, relay cooperative communication technology, especially bi-directional relaying just more and more by
To the concern of researcher, it can not only expand network coverage, improve communication transmission quality, and can effectively improve safety
Transmission performance.Document [2] [3] points out that cooperating relay transmission method can improve the security performance of wireless communication.Bi-directional relaying and
One-way junction is the same, can be divided into half-duplex relay and full duplex relaying according to working method, and in document [4] [5], tradition is double
Half-duplex operation is mostly used to relaying, the function of reception or transmitting information can only be implemented separately, and with the development of technology,
Bi-directional relaying gradually adopts full duplex technology, and in document [6] [7], either general relaying or untrusted relaying are all used
Full duplex relaying, full duplex relaying can be realized simultaneously the function of receiving and sending messages, and can be improved communication compared to half-duplex mode
Efficiency of transmission.
Antenna Selection Technology has lower calculating complicated as transmission technology important in two-way multi-antenna node system
Degree and design cost, the antenna for selecting a channel condition best usually from more antennas, Criterion of Selecting is to maximize system
Based on transmission performance or security performance.In document [8], in bi-directional full-duplex relay cooperative communication system, by multiple antennas
Four kinds of antenna selecting methods of double information sources, each method it is different degrees of improve the transmission performance of system, but whole system
Safety problem is not accounted for, if encountering listener-in, security performance will will receive great challenge.
But existing research seldom combines two kinds of technologies, usually unilaterally using bi-directional relaying cooperative communication technology or
Antenna Selection Technology, especially Antenna Selection Technology rarely have use, these all can only limited lifting system security performance.And
Traditional bi-directional relaying cooperative communication technology is to improve security of system energy, often sends artificial noise jamming listener-in, is led to
Frequently with method for precoding, in document [7], the double information sources of multiple antennas are gone in interference multiple antennas untrusted by emitting man made noise
After although increasing the average security rate of system, compared with antenna selecting method, system complexity is high, cumbersome；It passes
Antenna technology such as beam forming technique of uniting relays in the two-way untrusted relay system of multiple antennas in document [6] and uses wave
Beam shaping technology maximizes system safe rate by optimization beamforming matrix, although system performance can be improved, compared to
Antenna selecting method, it is desirable that system has very strong signal handling capacity, can greatly increase equipment use cost and power consumption, these
Defect all brings challenge to the performance for promoting communication system.
Annex document：
[1]Wyner A D.The wire-tap channel[J].The bell system technical
journal,1975,54(8):1355-1387.
[2]Dong L,Han Z,Petropulu A P,et al.Improving wireless physical layer
security via cooperating relays[J].IEEE Transactions on Signal Processing,
2010,58(3):1875-1888.
[3]Laneman J N,Tse D N C,Wornell G W.Cooperative diversity in
wireless networks:Efficient protocols and outage behavior[J].IEEE
Transactions on Information theory,2004,50(12):3062-3080.
[4]Hang Long,Wei Xiang,Yueying Zhang,et al.Cooperative jamming and
power allocation in three-phase two-way relaying wiretap systems[J].IEEE
Wireless Communications and Networking Conference(WCNC),2013.
[5]Yunchuan Yang,Hui Zhao,Cong Sun,et al.Iterative algorithm for
secrecy guarantee with null space beamforming in two-way relay networks[J]
.IEEE Wireless Communications and Networking Conference(WCNC),2013.
[6]Jianhua Mo,Meixia Tao,Yuan Liu,et al.Secure beamforming for MIMO
two-way transmission with an untrusted relay[J].IEEE Wireless Communications
and Networking Conference(WCNC),2013.Quanzhong Li,Liang Yang.Artificial Noise
Aided Secure Precoding for MIMO Untrusted Two-Way Relay Systems with Perfect
and Imperfect Channel State Information[J].IEEE Transactions on Information
Forensics and Security,2018,13(10):2628-2638.
[7]Efendi F,Oguz Kucur.Performance of transceiver antenna selection
in two way full-duplex relay networks over Rayleigh fading channels[J].IEEE
Transactions on Vehicular Technology,2018(Accepted).
Summary of the invention
It is an object of the invention to overcome the deficiencies in the prior art, propose a kind of bi-directional full-duplex MIMO relay antenna selection
Safe transmission method devises a kind of antenna selection criterion of statistical channel status information (CSI) for comprehensively considering listener-in, most
The received signal to noise ratio of bigization relay reception signal-to-noise ratio and user, and the reception Signal to Interference plus Noise Ratio of listener-in is weakened, analyze different user
Influence of the setting to security of system energy with relay antenna number, thus lifting system safe transmission performance.
The present invention solves technical method used by its technical problem：
A kind of bi-directional full-duplex MIMO relay antenna selection safe transmission method, the full duplex MIMO relay system include
User A, user B, relaying and listener-in, the user A, user B, relaying R and listener-in E configure multiple antennas, the biography of information
It is defeated to be completed in a time slot, it specifically includes：
Obtain transmission antenna i, the transmission antenna n of user B and the receiving antenna j of relaying of user A；Wherein, i=1 ...,
NA, NAIndicate the antenna number of user A；N=1 ..., NB, NBIndicate the antenna number of user B；J=1 ..., NR, NRIndicate relaying
Antenna number；
Obtain receiving antenna p, the receiving antenna m of user B and the transmission antenna k of relaying of user A；Wherein, p=1 ...,
NA-1；M=1 ..., NB-1；K=1 ..., NR-1；
The transmission antenna n and receiving antenna m and relaying of transmission antenna i and receiving antenna p, user B based on the user A
Receiving antenna j and transmission antenna k, obtain the received signal to noise ratio of user A, user B received signal to noise ratio and listener-in E reception
Signal to Interference plus Noise Ratio；
The received signal to noise ratio of received signal to noise ratio, user B based on the user A and the reception Signal to Interference plus Noise Ratio of listener-in E, are obtained
Take the instantaneous safe capacity of the full duplex MIMO relay system.
Preferably, transmission antenna i, the transmission antenna n of user B and the receiving antenna j of relaying for obtaining user A, packet
It includes：
Based on the average CSI of known user to listener-in's link and user to repeated link, with maximize user and in
After received signal to noise ratio be principle, the choosing of the receiving antenna j of the transmission antenna i of designing user A, the transmission antenna n of user B and relaying
Criterion is selected, it is as follows：
Wherein, hAR,i,jIndicate the channel parameter of user A to relaying R；gAE,iIndicate the channel ginseng of user A to listener-in E
Number；hBR,n,jIndicate the channel parameter of user B to relaying R；gBE,nIndicate the channel parameter of user B to listener-in E；E { X } is indicated
It averages to X；
User A and B broadcasts information to relaying and eavesdropping end, and the expression formula of the reception signal of relaying is
Wherein,Indicate the transmission power of user A,Indicate that the transmission power of user B, P indicate total
Power, α are power allocation factor；xA[n] indicates relay reception to user's a-signal；xB[n] indicates the user B letter that relay reception arrives
Number；nR[n] indicates that relaying upper received variance is σ2Additive white Gaussian noise；Since the transmission of this paper has double bounce, relaying is being solved
Certain time delay can be generated when code forwarding information, n indicates current time.
Preferably, receiving antenna p, the receiving antenna m of user B and the transmission antenna k of relaying for obtaining user A, packet
It includes：
The selection criterion of the transmission antenna k of the receiving antenna p of designing user A, the receiving antenna m of user B and relaying, such as
Under：
Wherein, hRA,k,pIndicate the channel parameter of relaying R to user A；gRE,kIndicate the channel ginseng of relaying R to listener-in E
Number；hRB,k,mIndicate the channel parameter of relaying R to user B；
Decoded information is forwarded to user A and user B by relaying, and the reception signal expression of user A is：
The reception signal expression of user B is：
Wherein PR=(1- α) P indicates the transmission power of relaying；nA[n] indicates that the variance that user A is received is σ2Additivity
White Gauss noise；nB[n] indicates that the variance that user B is received is σ2Additive white Gaussian noise；xR[n+1] indicates that user receives
The signal from relaying arrived.
Preferably, the reception letter of the received signal to noise ratio for obtaining user A, the received signal to noise ratio of user B and listener-in E is dry
It makes an uproar and compares, including：
Relaying, which uses, fixes decoding retransmission protocol, and the received signal to noise ratio expression formula of user A and user B are as follows：
The reception signal expression of listener-in is
Wherein, xA[n] indicates user's a-signal that listener-in receives, xB[n] indicates the user B letter that listener-in receives
Number, xR[n+1] indicates the signal that relaying is broadcasted outward；nE[n] indicates that the variance that listener-in receives is σ2Additive white Gaussian make an uproar
Sound, vector order are NE× 1, NEIndicate the antenna number of listener-in；
Since listener-in can only intercept the information emitted by information source, the information of relaying decoding forwarding is for listener-in
For interference signal, then the reception Signal to Interference plus Noise Ratio of listener-in is represented by
Preferably, the instantaneous safe capacity for obtaining the full duplex MIMO relay system, including：
The expression formula of the instantaneous safe capacity is as follows：
CS=[CA+CB-CE]+
=[log2(1+γA)+log2(1+γB)-log2(1+γE)]+
Wherein, the channel capacity C of tapping channelE=log2(1+γE), the channel capacity C of legitimate channelA=log2(1+
γA),CB=log2(1+γB)；[x]+=max { 0, x }.
The present invention has the advantages that：
(1) present invention combines full duplex multiple antennas bi-directional relaying cooperative communication technology with antenna selecting method, selects
System safe capacity can be made to obtain the optimal of maximum value and send and receive antenna, increase the channel capacity of legitimate channel, optimizing
While bi-directional relaying received signal to noise ratio and the received signal to noise ratio of user, the reception Signal to Interference plus Noise Ratio of reduction listener-in is taken into account, is had
Effect improves the safe capacity of whole system；Point that the present invention can influence user and relaying different antennae number on security of system
Analysis shows the security performance for the good lifting system of antenna number energy that only need to suitably increase user and relaying；
(2) user A of the invention, user B, relaying R and listener-in E configure multiple antennas, to make the safety of system
It can be obviously improved；
(3) existing beam forming technique requires system to have very strong signal processing although can improve system performance
Ability can greatly increase equipment use cost and power consumption；And the optimal method for precoding of tradition, computation complexity are high, it is cumbersome；
Complexity of the present invention is low, convenient for operation, and the instantaneous CSI without knowing tapping channel, it is only necessary to the statistics of tapping channel
CSI。
Invention is further described in detail with reference to the accompanying drawings and embodiments, but a kind of bi-directional full-duplex of the invention
MIMO relay antenna selection safe transmission method is not limited to the embodiment.
Detailed description of the invention
Fig. 1 is system structure model figure of the invention；
Fig. 2 is the safe capacity performance comparison figure of antenna selecting method and other antenna selecting methods of the invention；
Fig. 3 is that antenna selecting method of the invention is arranged various information source and relay antenna number and can influence pair on security of system
Than figure.
Specific embodiment
Shown in Figure 1, the present invention proposes a kind of bi-directional full-duplex MIMO relay antenna selection safe transmission method, described
Full duplex MIMO relay system includes user A, user B, relaying and listener-in, the user A, user B, relaying R and listener-in E
(antenna number of node A, B, R and E are respectively N to configuration multiple antennasA、NB、NRAnd NE), the transmission of information is complete in a time slot
At.User A and user B uses transmission antenna selection technique for relaying and listener-in, and relaying is directed to user A, user B and eavesdropping
Person using dual-mode antenna selection technique (arrow in Fig. 1 be directed toward outside antenna indicate selected transmission antenna, in arrow is directed toward
Antenna indicate selected receiving antenna), each Channel Modeling considers quasi-static flat rayleigh fading channel, institute in system
Have that channel is mutually indepedent, the channel parameter of A to R, R to B, B to R, R to A, A to E, B to E, R to E are expressed as Wherein, i (i=1 ..., NA), k (k=1 ..., NR-1), n
(n=1 ..., NB) respectively indicate user A, on relaying and user B transmission antenna number, and p (p=1 ..., NA-1), j (j
=1 ..., NR), m (m=1 ..., NB-1) respectively indicate user A, on relaying and user B receiving antenna number.Relaying passes through
Pilot signal carries out channel estimation, and by the CSI feedback estimated to user A and user B, in order to which each node carries out day line selection
It selects.Assuming that user and relaying only know the statistical CSI of eavesdropping node, i.e., averagely CSI.
Step 1：If general power is P, the power that user A sends information isThe power of user B transmission information
ForIt is P that relaying, which sends power,R=(1- α) P, wherein α is power allocation factor, and 0<α<1.Assuming that two users and
The average channel condition information of known A to the E link of relaying difference, B to E link and R to E link, antenna selection criterion need
In view of maximizing relaying and while user's received signal to noise ratio, and the reception Signal to Interference plus Noise Ratio of listener-in can be minimized, used
The selection criterion of the receiving antenna j of the transmission antenna i of family A, the transmission antenna n of user B and relaying are designed as：
Wherein, E { X } expression averages to X.
User A and B broadcasts information to relaying and eavesdropping end, and the expression formula of the reception signal of relaying is
Wherein, PAFor the transmission power of user A, PBFor the transmission power of user B, xA[n] is that relay reception is believed to user A
Number, xB[n] is user's B signal that relay reception arrives, nR[n] indicates that relaying upper received variance is σ2Additive white Gaussian noise,
Because the transmission of this paper has double bounce, relaying can generate certain time delay when decoding forwarding information, and n indicates current time.
Step 2：It is distributed according to the antenna of user A, user B and relaying, the reception day of the receiving antenna p of user A, user B
The selection criterion of the transmission antenna k of line m and relaying is designed as：
Decoded information is forwarded to user A and B by relaying, and user A receives signal expression and is：
User B receives signal expression：
Wherein, PRFor the transmission power of relaying, nA[n] indicates that the variance that user A is received is σ2Additive white Gaussian make an uproar
Sound, nB[n] indicates that the variance that user B is received is σ2Additive white Gaussian noise, xR[n+1] is coming from of receiving of user
After signal, since relaying decoding forwarding needs the time, therefore the information presence that the relaying that receives of user A and user B is sent is prolonged
When.
Since relaying is using fixed decoding retransmission protocol, so the received signal to noise ratio of user A and user B are represented by：
The reception signal expression of listener-in is：
Wherein, xA[n] is user's a-signal that listener-in receives, xB[n] is user's B signal that listener-in receives, xR
[n+1] indicates the signal from relaying that listener-in receives, and since relaying decoding forwarding needs the time, therefore listener-in receives
Relaying issue information exist delay, nE[n] indicates that the variance that listener-in receives is σ2Additive white Gaussian noise, vector
Order is NE×1。
Since listener-in can only intercept the information emitted by information source (user A and user B), the information of relaying decoding forwarding
It is interference signal for listener-in, then the reception Signal to Interference plus Noise Ratio of listener-in is represented by
Step 3：The channel capacity of Gauss tapping channel is expressed as the channel capacity of legitimate channel and the channel of tapping channel
The difference of capacity.For this paper model, the channel capacity of tapping channel is represented by CE=log2(1+γE), the channel of legitimate channel
Capacity is represented by CA=log2(1+γA),CB=log2(1+γB).The instantaneous safe capacity of system can be expressed as
CS=[CA+CB-CE]+
=[log2(1+γA)+log2(1+γB)-log2(1+γE)]+,.
Wherein [x]+=max { 0, x }.
Simulation analysis verifying is carried out to the safe performance indexes of the Transmission system below, wherein simulation times are 1,000,000
Secondary, each channel average channel gain is 1, and each node receives noise variance and normalizes.
Fig. 2 is the safe capacity performance comparison of antenna selecting method and other methods of the invention.Day line selection of the invention
N is arranged in selection method and random antenna selection methodA=NR=NE=NBRespectively 3,5,8, and relay half-duplex method setting NA=
NR=NE=NB=3, α=0.5.As shown in Figure 2, the system of antenna selecting method of the invention and random antenna selection method is pacified
Full capacity all increases as user sends the increase of power, but the system safe capacity of antenna selecting method of the invention is always
Greater than random antenna selection method, the performance advantage of this method is highlighted.And compared with conventional half duplex method, side of the present invention
The safe handling capacity of method has bigger promotion, and conventional half duplex method traverses safe capacity as information source sends the increase of power
There is no significant change, since the eavesdropping of listener-in is not by any interference, traverses safe capacity and be almost equal to zero.In addition, of the invention
With the increase of each node antennas number, the system safe capacity of antenna selecting method of the invention also increases antenna selecting method therewith
Add, and the system safe capacity of random antenna selection method does not change.
Fig. 3 is that various information source (user A and user B) and relay antenna number is arranged to system in antenna selecting method of the invention
Security performance influences comparison.N is setE=NB=3, α=0.5, NA, NRFacilities as shown in the drawing.As seen from the figure, with
NA, NB, NRIncrease, the safe capacity of system increases therewith.Therefore the antenna of user and relaying is properly increased in system design
Number being capable of the effectively security performance for promoting whole system.
It should be noted that Signal to Interference plus Noise Ratio involved in the present invention indicates useful signal and noise signal and interference signal
Ratio referred to as receives Signal to Interference plus Noise Ratio, and listener-in is reception Signal to Interference plus Noise Ratio because will receive interference signal, and user A, user B
Relaying is received signal to noise ratio because interference signal is not present.
The foregoing is merely a prefered embodiment of the invention, is not intended to limit the invention, all in the spirit and principles in the present invention
Within, any modification, equivalent replacement, improvement and so on should all be included in the protection scope of the present invention.
Claims (5)
1. a kind of bi-directional full-duplex MIMO relay antenna selects safe transmission method, which is characterized in that in the full duplex MIMO
It include user A, user B, relaying and listener-in after system, the user A, user B, relaying R and listener-in E are configured more days
The transmission of line, information is completed in a time slot, is specifically included：
Obtain transmission antenna i, the transmission antenna n of user B and the receiving antenna j of relaying of user A；Wherein, i=1 ..., NA, NA
Indicate the antenna number of user A；N=1 ..., NB, NBIndicate the antenna number of user B；J=1 ..., NR, NRIndicate the antenna of relaying
Number；
Obtain receiving antenna p, the receiving antenna m of user B and the transmission antenna k of relaying of user A；Wherein, p=1 ..., NA-1；
M=1 ..., NB-1；K=1 ..., NR-1；
Transmission antenna i and receiving antenna p, the transmission antenna n and receiving antenna m of user B and connecing for relaying based on the user A
Antenna j and transmission antenna k is received, the reception letter for obtaining the received signal to noise ratio of user A, the received signal to noise ratio of user B and listener-in E is dry
It makes an uproar ratio；
The received signal to noise ratio of received signal to noise ratio, user B based on the user A and the reception Signal to Interference plus Noise Ratio of listener-in E obtain institute
State the instantaneous safe capacity of full duplex MIMO relay system.
2. bi-directional full-duplex MIMO relay antenna according to claim 1 selects safe transmission method, which is characterized in that institute
Transmission antenna i, the transmission antenna n of user B and the receiving antenna j of relaying for obtaining user A are stated, including：
Based on known user to listener-in's link and user to the average CSI of repeated link, connect with maximizing user and relaying
Receipts signal-to-noise ratio is principle, and the selection of the receiving antenna j of the transmission antenna i of designing user A, the transmission antenna n of user B and relaying are quasi-
Then, as follows：
Wherein, hAR,i,jIndicate the channel parameter of user A to relaying R；gAE,iIndicate the channel parameter of user A to listener-in E；
hBR,n,jIndicate the channel parameter of user B to relaying R；gBE,nIndicate the channel parameter of user B to listener-in E；It indicates to X
It averages；
User A and B broadcasts information to relaying and eavesdropping end, and the expression formula of the reception signal of relaying is
Wherein,Indicate the transmission power of user A,Indicate that the transmission power of user B, P indicate general power,
α is power allocation factor；xA[n] indicates relay reception to user's a-signal；xB[n] indicates user's B signal that relay reception arrives；nR
[n] indicates that relaying upper received variance is σ2Additive white Gaussian noise；Since the transmission of this paper has double bounce, relaying turns in decoding
Certain time delay can be generated when photos and sending messages, n indicates current time.
3. bi-directional full-duplex MIMO relay antenna according to claim 2 selects safe transmission method, which is characterized in that institute
Receiving antenna p, the receiving antenna m of user B and the transmission antenna k of relaying for obtaining user A are stated, including：
The selection criterion of the transmission antenna k of the receiving antenna p of designing user A, the receiving antenna m of user B and relaying, it is as follows：
Wherein, hRA,k,pIndicate the channel parameter of relaying R to user A；gRE,kIndicate the channel parameter of relaying R to listener-in E；
hRB,k,mIndicate the channel parameter of relaying R to user B；
Decoded information is forwarded to user A and user B by relaying, and the reception signal expression of user A is：
The reception signal expression of user B is：
Wherein PR=(1- α) P indicates the transmission power of relaying；nA[n] indicates that the variance that user A is received is σ2Additive white it is high
This noise；nB[n] indicates that the variance that user B is received is σ2Additive white Gaussian noise；xR[n+1] indicates what user received
Signal from relaying.
4. bi-directional full-duplex MIMO relay antenna according to claim 3 selects safe transmission method, which is characterized in that institute
Received signal to noise ratio, the received signal to noise ratio of user B and the reception Signal to Interference plus Noise Ratio of listener-in E for obtaining user A are stated, including：
Relaying, which uses, fixes decoding retransmission protocol, and the received signal to noise ratio expression formula of user A and user B are as follows：
The reception signal expression of listener-in is
Wherein, xA[n] indicates user's a-signal that listener-in receives, xB[n] indicates user's B signal that listener-in receives, xR
[n+1] indicates the signal that relaying is broadcasted outward；nE[n] indicates that the variance that listener-in receives is σ2Additive white Gaussian noise, to
Amount order is NE× 1, NEIndicate the antenna number of listener-in；
Since listener-in can only intercept the information emitted by information source, the information of relaying decoding forwarding is dry for listener-in
Signal is disturbed, then the reception Signal to Interference plus Noise Ratio of listener-in is represented by
5. bi-directional full-duplex MIMO relay antenna according to claim 4 selects safe transmission method, which is characterized in that institute
The instantaneous safe capacity for obtaining the full duplex MIMO relay system is stated, including：
The expression formula of the instantaneous safe capacity is as follows：
CS=[CA+CB-CE]+
=[log2(1+γA)+log2(1+γB)-log2(1+γE)]+
Wherein, the channel capacity C of tapping channelE=log2(1+γE), the channel capacity C of legitimate channelA=log2(1+γA),CB
=log2(1+γB)；[x]+=max { 0, x }.
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