CN107994934A - Safe transmission method of the insincere junction network based on Symbol division and Wave beam forming - Google Patents
Safe transmission method of the insincere junction network based on Symbol division and Wave beam forming 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
- H04B7/0456—Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
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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
-
- 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
- H04B7/0617—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 for beam forming
-
- 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
- H04B7/08—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
- H04B7/0837—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station using pre-detection combining
- H04B7/0842—Weighted combining
- H04B7/086—Weighted combining using weights depending on external parameters, e.g. direction of arrival [DOA], predetermined weights or beamforming
Abstract
The present invention provides a kind of safe transmission method of insincere junction network based on Symbol division and Wave beam forming, two most strong relayings of selection channel gain send the real and imaginary parts of useful Symbol division respectively, then design directional beam is formed, make to relay the real and imaginary parts for maximumlly receiving useful signal selected by two, to ensure that insincere relay node R cannot eavesdrop useful information, while destination nodeUseful information can be decoded, the safe transmission performance of network is improved with this.The present invention improves the reliability of network transmission, has great significance to lifting system safe transmission performance while the decoding capability of insincere relaying is minimized.
Description
Technical field
The present invention relates to a kind of safe transmission method of insincere junction network.
Background technology
In recent years, due to the opening of wireless communication, wireless signal is made to be easy to be ravesdropping, distort and disturb, so as to give
The secure communication of user brings great threat, and the safety issue of wireless network is of increased attention.With tradition
Encryption mechanism is different, when safety of physical layer (Physical-Layer Security) has relatively low computation complexity and saving
Between and the advantages of frequency spectrum resource.Safety issue due to improving wireless communication becomes more and more urgent, and safety of physical layer is resonable
By research with being obtained for extensive attention in practical application.
With the shortage of the communication resource and the development of relay selection technology, relay selection technology is introduced into safety of physical layer mould
Type causes more and more concerns.In real application systems, during how selection one is optimal from numerous potential relayings
After, so that system resource is effectively utilized, raising error rate of system (Bit Error Rate, BER) performance and optimization internetworking
Can, the problem of becoming one and merit attention.If relay node is incredible in itself, effective safe transmission scheme how is designed
Become increasingly complex.Therefore, Symbol division and Wave beam forming are based on for multiple antennas, how insincere relay application scene, development
Safe transmission conceptual design, to lifting system security and improve error rate of system have great significance.
" the Spectral efficient protocols for half-duplex fading relay of document 1
channels[IEEE Journal on Selected Areas in Communications,vol.25,no.2,pp.379–
389,2007] " is directed to credible junction network, and the conclusion of system achievable rate can be improved by obtaining cooperating relay, and be proposed two-way
Relay transmission scheme, the information exchange between two source nodes can be completed in two time slots, effectively improves spectrum efficiency.
" the On the jamming power allocation for secure amplify-and-forward of document 2
relaying via cooperative jamming[IEEE Journal on Selected Areas in
Communications, vol.31, no.9, pp.1741-1750,2013] " have studied containing eavesdropping node double bounce wireless relay
Secure communication in network.Listener-in intercepts and captures useful information in order to prevent, and destination node sends an interference noise, helps to protect
Shield source message is not ravesdropping, while ensures reliably to be decoded by destination node.
" the Cooperation with an untrusted relay of document 3:A secrecy perspective[IEEE
Transactions on Information Theory, vol.56, no.8, pp.3807-3827,2009] " is directed to single antenna
Unidirectional insincere junction network, it was demonstrated that using target cooperation interference (Destination Jamming, DJ) scheme will be insincere
Relay node is used for ratio in communicating and is regarded as eavesdropping node, accessible safe rate higher merely.
" the Secure beamforming for MIMO two-way communications with an of document 4
untrusted Relay[IEEE Transactions on Signal Processing,vol.62,no.9,pp.2185–
2199,2014] " mainly have studied the Wave beam forming design in multiple antennas, single relay system, and source node and destination node be not
Message is exchanged with the help of credible relay node.Relay node not only as signal repeater but also was used as potential listener-in, utilized
Beam-forming technology can significantly improve the safe rate of system.
" the Robust beamforming for secrecy in MIMO wiretap channels with of document 5
imperfect CSI[IEEE Transactions on Signal Processing,vol.59,no.1,pp.351–361,
2011] " mainly have studied the source node under high channel gain and send man made noise (artificial noise, AN) interference not
Credible relaying eavesdropping useful information, higher safety can be reached by carrying out constant power distribution to cooperation interference signal and useful signal
Property.
" the Relay selection for secure successive AF relaying networks with of document 6
untrusted nodes[IEEE Transactions on Signal Processing,vol.11,no.11,pp.2466–
2476,2016] the main destination nodes that have studied of " send cooperation interference signal, avoid insincere relay node from intercepting useful letter
Breath, and then improve the security of physical layer.
Related safety of physical layer technical research at present, carries out optimization design, junction network sheet primarily directed to eavesdropping node
Body is believable (such as document 1,2), and the research for insincere relay system is seldom.Secondly, it is existing research primarily directed to
Information source and the stay of two nights are the situations (such as document 3) of single antenna.Furthermore existing research is primarily directed to the Wave beam forming of single junction network
Technology is studied (such as document 4).Cooperate in addition, existing literature is mainly studied at source node or at destination node
Interference, improves safety of physical layer (such as document 5,6), but wastes fractional transmission power.
The content of the invention
For overcome the deficiencies in the prior art, the present invention provides a kind of insincere junction network and is based on Symbol division and wave beam
The safe transmission method of formation, angularly optimizes and sets from safe transmission scheme, relay selection, Symbol division, Wave beam forming
Meter, effectively reduces the ability of insincere relaying decoding useful information, while improves the transmission reliability of whole communication link, utilizes
Safety of physical layer technology realizes safe information transmission under multiple antennas, how insincere relay application scene.
The technical solution adopted by the present invention to solve the technical problems comprises the following steps：
Step 1, in first time slot of message transmitting procedure, completes relay selection, Precoding Design, Symbol division
And Wave beam forming, particular content are as follows：
(1) it is directed to by a source nodeN number of insincere relay nodeWith a destination nodeThe multiple antennas of composition,
More insincere junction network, it is assumed thatL root antennas are configured with,There are a Z root antennas, all relayings are all single antenna, and L >=N
>=2,WithBetween there is no direct transferring link, all nodes are all operated in semiduplex mode, and all nodes receive
Noise be all average be 0, variance N0Additivity multiple Gauss noise；According to the channel vector of i-th of relayingSelect channel
Two most strong relayings of gainWithWherein 1≤i, m, n≤N and m ≠ n；
(2) definition except fromArriveWith fromArriveThe channel matrix of other all relayings in addition is respectivelyWith Obtained using singular value decomposition
ArriveWherein,It is to includeThe diagonal matrix of all singular values,
WithIt is unitary matrice；Split-matrix V obtains V=[V1V2], whereinAnd V2
The subspace that is turned into of row beKernel；Assuming thatRepresenting matrix V2A column vector, 1≤j≤L-N+1, design
Precoding vector
Similarly, obtain withThe corresponding orthogonal basic matrix of kernel Representing matrix T2
A column vector, 1≤k≤L-N+1, design precoding vector
(3)Bit stream is mapped as to the complex signal of a unit power using M ary modulations technologyIts
InWithRespectively complex signalReal and imaginary parts, utilize Symbol division technology and beam-forming technology constructionTransmission letter
NumberWherein,PsRepresentTransmit power；Institute
ChoosingWithPlace receives the real and imaginary parts of useful signal and is superimposed additivity multiple Gauss noise respectively, other unselected after place
Additivity multiple Gauss noise can be received, relay node received signal is expressed as
Wherein,RepresentThe additivity multiple Gauss noise that place receives；
Step 2: in second time slot of message transmitting procedure, complete relaying amplification forwarding, source node cooperation interference with
And merge and receive, particular content is as follows：
(1) selected relayingWithAmplification forwarding signal isWithWherein, μmAnd μmTable
ShowWithAmplification factor,With WithForWithTransmission power；
(2) by source nodeMan made noise is sent to all relay nodes；
(3) existThe signal that place receives
Wherein,It isLocate total equivalent noise；Utilize the side of regularized inversion
Method,The useful information that place decodesEstimate
Wherein,WithRepresent respectivelyWithEstimate,
It isWithBetween equivalent channel matrix,
The beneficial effects of the invention are as follows：For the safe transmission problem of insincere more junction networks, propose based on symbol point
From the safe transmission scheme with Wave beam forming, while the decoding capability of insincere relaying is minimized, improve network transmission
Reliability, has great significance lifting system safe transmission performance.
Brief description of the drawings
Fig. 1 is multiple antennas, how insincere relay network illustraton of model；
Fig. 2 is different schemes bit error rate performance contrast at relay node and at destination node.
Embodiment
The present invention is further described with reference to the accompanying drawings and examples, and the present invention includes but are not limited to following implementations
Example.
The present invention provides a kind of safe transmission new departure of insincere junction network based on Symbol division and Wave beam forming, choosing
Select two most strong relayings of channel gain and send the real and imaginary parts of useful Symbol division respectively, then design directional beam shape
Into, make to relay selected by two maximumlly receive useful signal real and imaginary parts, to ensure that insincere relay node R cannot be stolen
Listen useful information, while destination nodeUseful information can be decoded, the safe transmission performance of network is improved with this.
In the present invention, junction network is incredible, can eavesdrop useful information.Single antenna expanded in the present invention more
Antenna is studied, and more relayings are made choice, and designs corresponding Wave beam forming precoding, for multiple antennas, how insincere relaying
Application scenarios, from another angle, carry out the safety approach design being combined based on Symbol division and Wave beam forming, will believe
Number be divided into real and imaginary parts is transmitted respectively, and useful signal is sent to best relaying using beam-forming technology is put
Big forwarding, so that while security is improved, reduces the bit error rate of system.
The channel model that the present invention is studied is the multiple antennas with three nodes, how insincere junction network, it communicates
Principle is as shown in Figure 1.The model is by a source nodeN number of insincere relay nodeWith a mesh
NodeComposition.Assuming thatL root antennas are configured with,There are a Z root antennas, all relayings are all single antenna, and L >=N >=2.
Due to long distance transmission or shadow effect,WithBetween there is no direct transferring link, thereforeWithBetween can only pass throughInto
Row communication.In the present invention, it is assumed that all nodes are all operated in semiduplex mode, and the noise that all nodes receive is all
It is that average is 0, variance N0Additivity multiple Gauss noise.
The technical solution adopted by the present invention to solve the technical problems comprises the following steps：
Step 1: in first time slot of message transmitting procedure, relay selection, Precoding Design, symbol are respectively completed
The operation such as separation and Wave beam forming：
(1) relay selection.According to channel vectorIt is most strong to select channel gain, i.e.,(||·||2Represent vector
2 norms) maximum two relayingsWithWherein 1≤i, m, n≤N and m ≠ n,Represent fromTo i-th
The channel vector of relaying,WithM-th and n-th relaying is represented respectively.
(2) precoding vectorWithDesign.Definition fromArriveIn addition and fromArriveIn addition it is other it is all in
After channel matrix be respectivelyWithIt can be expressed as
Obtained using singular value decompositionWherein,It is to includeAll singular values
Diagonal matrix,WithIt is unitary matrice.Further split-matrix V can obtain V=[V1V2], whereinAnd V2The subspace that is turned into of row beKernel, i.e.,Assuming thatRepresenting matrix V2A column vector (1≤j≤L-N+1), the present invention passes through maximizationCome
Maximize and receive so as to design precoding vectorI.e.
Similarly, can obtain withThe corresponding orthogonal basic matrix of kernel Represent square
Battle array T2A column vector (1≤k≤L-N+1), the present invention passes through maximizationPrelist to maximize to receive so as to design
Code vectorI.e.
(3) Symbol division and Wave beam forming.Using M ary modulations technology (MPSK or QAM modulation), bit stream is mapped
For the complex signal of a unit powerWhereinWithRespectively complex signalReal and imaginary parts.Then, it is sharp
Constructed with Symbol division technology and beam-forming technologyTransmission signal
Wherein,(PsRepresentTransmit power),WithIt is the precoding vector that the present invention designs.
According to Symbol division above, Wave beam forming and Precoding Design, selectedWithPlace receives respectively to be had
With the real and imaginary parts of signal and additivity multiple Gauss noise is superimposed, it is other unselected to receive additivity multiple Gauss after place and make an uproar
Sound, i.e. relay node received signal are represented by
Wherein,RepresentThe additivity multiple Gauss noise that place receives, its average are 0, variance N0, i=1 ..., N.
Step 2: in second time slot of message transmitting procedure, relaying amplification forwarding is respectively completed, source node cooperation is done
Disturb and merge the operation received.
(1) amplification forwarding is relayed.Selected relayingWithAmplification forwarding signal isWith
Wherein, μmAnd μnRepresentWithAmplification factor, it is necessary to meet power constraintWith WithForWithTransmission power.In fact,WithThe reality of the useful signal of amplification forwarding noise pollution respectively
Portion and imaginary part.At this time, it is all other unselected after signal can also be interceptedWith
(2) source node cooperation interference.It is other unselected after eavesdropping useful signal to prevent, directly using in document [5]
Method, by source nodeMan made noise is sent to all relay nodes.It should be noted that due to long distance transmission or shade
Effect,WithBetween there is no direct transferring link,Can not receive this man made noise, thus man made noise without interference withJust
Often receive.
(3) merge and receive.The signal that place receives is
Wherein,It isLocate total equivalent noise.Utilize the side of regularized inversion
Method,The useful information that place decodesEstimate(wherein,WithRepresent respectivelyWith's
Estimate) it is represented by
Wherein,It isWithBetween etc.
Imitate channel matrix,
The embodiment of the present invention comprises the following steps：
First time slot
In first time slot of information transmission, relay selection, Precoding Design, Symbol division and wave beam shape are respectively completed
Into the operation such as, relay reception, detailed process is described as follows：
Define channel matrixRepresent fromTo the channel vector (1≤i≤N) of i-th of relaying.
(1) relay selection.According to channel vectorCalculate channel gain(||·||2Represent 2 norms of vector).
Two most strong relayings of channel gain are selected, i.e.,Two maximum relayingsWithWherein, 1≤i, m, n≤N and
m≠n。
(2) precoding vectorWithDesign.ForDesign, it is necessary to willIt is sent toEnsure other relayings
Do not receiveEnsured with thisThe security of transmission.Similarly, forDesign, it is necessary to willIt is sent toEnsure
Other relay receptions less thanEnsured with thisThe security of transmission.Based on the fact that we utilize the side of kernel
Method constructs precoding vectorWith
Definition fromArriveIn addition and fromArriveThe channel matrix of other all relayings in addition
WithFor
To in formula (1)Singular value decomposition is carried out, can be obtainedWherein,It is bag
ContainThe diagonal matrix of all singular values, because L ＞ N-1, can be divided further intoWithIt is unitary matrice.Split-matrix V can
Obtain V=[V1V2], whereinAnd V2The subspace that is turned into of row beIt is zero empty
Between, i.e.,Similarly, can obtainThe corresponding one group of orthogonal basic matrix of kernel
Assuming thatRepresenting matrix V2A column vector (1≤j≤L-N+1),Representing matrix T2A column vector (1≤k≤L-N+
1), the present invention passes through maximizationWithReceived to maximize so as to design precoding vectorWithFor
(3) Symbol division and Wave beam forming.Using M ary modulations technology (MPSK or QAM modulation), by useful information ratio
Special stream information is mapped as the complex signal of unit powerWhereinWithRespectively complex signalReal and imaginary parts.
Then, constructed using Symbol division technology and beam-forming technologyTransmission signal xsAnd by useful signalReal and imaginary parts
Signal difference directive sending is to selected relayingWithAssuming that real and imaginary parts constant power is sent,Transmission signal xsCan table
It is shown as
Wherein,(PsRepresentTransmit power),WithRepresent the precoding vector of design.
(4) relay reception.The signal that i-th of relay node receivesFor
Wherein,Expression is relayingThe additivity multiple Gauss noise at place, its average are 0, variance N0, i=1 ..., N.
According to Symbol division above, Wave beam forming and Precoding Design, the i-th=1 ..., connect at N number of relay node
Received signalFor
Due to precoding vectorWithOptimization design, as i ≠ m,As i ≠ n,
Then relay reception to signal be represented by：
Utilize the real and imaginary parts of Symbol division and beam-forming technology, respectively directive sending useful signal.From emulation
In Fig. 2 as can be seen that due to relayingOn reception signal lack real part, relayingOn reception signal lack void
Portion, for the communication system using QPSK modulation, is relayingWithOn can realize the bigger bit error rate, be about
0.25dB.And at other relayings, the signal received is only additive white Gaussian noise, not comprising any useful information.
Second time slot
In second time slot of information transmission, it is respectively completed relaying amplification forwarding, source node cooperation interference and merges
The operation of reception, detailed process are described as follows：
(1) amplification forwarding is relayed.Selected relayingWithAmplification forwarding signal isWithWherein, μmAnd μnRepresentWithAmplification factor, it is necessary to meet power constraintWith WithForWithTransmission power.
(2) source node cooperation interference.In fact,WithThe real part of the useful signal of amplification forwarding noise pollution respectively
And imaginary part.At this time, it is all other unselected after signal can also be interceptedWithIt is other unselected after eavesdropping to prevent
Useful signal, directly using the method in document [5], by source nodeMan made noise is sent to all relay nodes.Need
It is noted that due to long distance transmission or shadow effect,WithBetween there is no direct transferring link,This is can not receive manually to make an uproar
Sound, thus man made noise without interference withNormally receive.
(3) merge and receive.Assuming that i-th of relay forwarding is to the signal of destination nodeSo in destination nodePlace
The signal by i-th of relay forwarding receivedFor
Wherein,BeThe additivity multiple Gauss noise that place receives,It is to be relayed to for i-th
Channel vector.
Destination nodeThe signal received is from relayingWithAmplification forwarding signal, be expressed as
Wherein,It isLocate total equivalent noise.
Using the method for regularized inversion,The useful information that place decodesEstimate(its
In,WithRepresent respectivelyWithEstimate) be represented by
Wherein,It is relayingWithBetween
Equivalent channel matrix,
The present invention emulates the bit error rate performance of proposed relay selection scheme.Using QPSK modulation skills in scheme
Art, source nodeAnd destination nodeNumber of antennas be respectively L=8 and Z=2.Assuming that there is the relaying of N=4 independent channel
Network, its output power are both configured to(i=1,2,3,4)；All received noise powers are assumed to be N0=1, lead to
Cross changeTransimission power PsTo adjust signal-to-noise ratio (SNR).All emulation is carried out 10000 times using fading channel model
Independent experiment.In order to show the superior performance of the Symbol division proposed by the present invention with Channel assignment and Wave beam forming scheme
Property, we introduce other two kinds common safe transmission schemes and are compared.The first be man made noise's scheme (document [5],
It is denoted as " AN schemes "), source nodeThe most strong relay node of channel gain is sent a signal to, in man made noise and useful signal
Progress equivalent power distribution can obtain higher security, and (when the ratio of power distribution has less change, its security is not
Can be affected), it is assumed that distribute to transmission signalPower be 0.55Ps, the power for distributing to man made noise is 0.45Ps.The
Two kinds of schemes are destination node cooperation jamming programs (document [6], is denoted as " DJ schemes "),Send interference signal power be
0.5Ps.It should be noted that above-mentioned AN schemes, DJ schemes and the present invention are suggested plans, in second time slot,It must send
Cooperate interference signal, to prevent the useful signal of selected relay forwarding from being eavesdropped by other relayings.
Fig. 2 compares scheme proposed by the present invention and the BER of AN schemes, DJ schemes at relaying and at destination node
Energy.In AN and DJ schemes, there is the very high bit error rate at insincere relaying, however, since fractional transmission power dissipation is being launched
Man made noise or cooperation interference, bit error rate performance is poor at destination node, is respectively 0.125 and 0.07；The present invention proposes
Scheme there is good security, the bit error rate is larger at the relaying of selection, and due to the orthogonal biography of beam-forming technology
It is defeated, with transmission power PsIncrease, the bit error rate performance at destination node is improved significantly.Therefore, the present invention proposes
Scheme all improve significantly to the security of insincere relaying and the reliability of destination node.
Conclusion：For multiple antennas, the safe transmission application scenarios of how insincere relaying, the present invention proposes a kind of joint symbol
Number separation and beam-forming technology new departure, it is ensured that the safe transmission of information in insincere more junction networks.With existing AN
Or DJ schemes are compared, scheme proposed by the invention realizes relatively low at relay node higher BER performances and destination node
BER performances, can obtain reliable system safe transmission.
Claims (1)
1. safe transmission method of a kind of insincere junction network based on Symbol division and Wave beam forming, it is characterised in that including under
State step：
Step 1, in first time slot of message transmitting procedure, completes relay selection, Precoding Design, Symbol division and ripple
Beam is formed, and particular content is as follows：
(1) it is directed to by a source nodeN number of insincere relay nodeWith a destination nodeThe multiple antennas of composition, more not
Credible junction network, it is assumed thatL root antennas are configured with,There are a Z root antennas, all relayings are all single antenna, and L >=N >=2,WithBetween there is no direct transferring link, all nodes to be all operated in semiduplex mode, and the noise that all nodes receive
All be average be 0, variance N0Additivity multiple Gauss noise；According to the channel vector of i-th of relayingSelect channel gain
Two most strong relayingsWithWherein 1≤i, m, n≤N and m ≠ n；
(2) definition except fromArriveWith fromArriveThe channel matrix of other all relayings in addition is respectivelyWithObtained using singular value decomposition
ArriveWherein,It is to includeThe diagonal matrix of all singular values,
WithIt is unitary matrice；Split-matrix V obtains V=[V1V2, whereinAnd V2
The subspace that is turned into of row beKernel；Assuming thatRepresenting matrix V2A column vector, 1≤j≤L-N+1, design
Precoding vector
Similarly, obtain withThe corresponding orthogonal basic matrix of kernelRepresenting matrix T2One
A column vector, 1≤k≤L-N+1, designs precoding vector
(3)Bit stream is mapped as to the complex signal s=s of a unit power using M ary modulations technologyR+jsI, wherein sRWith
sIThe respectively real and imaginary parts of complex signal s, utilize Symbol division technology and the transmission signal of beam-forming technology construction S[sR sI]T, wherein,PsRepresentTransmit power；SelectedWithPlace respectively receive useful signal real and imaginary parts and be superimposed additivity multiple Gauss noise, it is other it is unselected can only after place
Additivity multiple Gauss noise is received, relay node received signal is expressed as
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Wherein,RepresentThe additivity multiple Gauss noise that place receives；
Step 2: in second time slot of message transmitting procedure, complete relaying amplification forwarding, source node cooperation interference and close
And receive, particular content is as follows：
(1) selected relayingWithAmplification forwarding signal isWithWherein, μmAnd μnRepresent
WithAmplification factor,WithWithForWithTransmission power；
(2) by source nodeMan made noise is sent to all relay nodes；
(3) existThe signal that place receives
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</mfenced>
<mfenced open = "[" close = "]">
<mtable>
<mtr>
<mtd>
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<mi>R</mi>
</msub>
</mtd>
</mtr>
<mtr>
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<mi>s</mi>
<mi>I</mi>
</msub>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>+</mo>
<msub>
<mi>n</mi>
<mn>0</mn>
</msub>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
Wherein,It isLocate total equivalent noise；Using the method for regularized inversion,
Useful information [the s that place decodesR sI]TEstimateWherein,WithS is represented respectivelyRAnd sIEstimate,It isWithBetween equivalent channel matrix,
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