CN106533606B - A kind of safe transmission method of physical layer of single antenna amplification forwarding junction network - Google Patents
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Abstract
The invention discloses a kind of safe transmission method of physical layer of single antenna amplification forwarding junction network; including the first stage: source node sends private information to all relay nodes, while interfering nodes send interference signal to destination node, eavesdropping node and all relay nodes to protect the information transmitted；Second stage: each relay node is forwarded after being multiplied to the signal that the first stage receives using the diagonal element value of pre-coding matrix；Wherein, pre-coding matrix is diagonal matrix, and diagonal element is relay node cooperation beamformer weightings coefficient；Interfering nodes continue to send interference signal to destination node and eavesdropping node simultaneously；Under source node, relay node and interfering nodes power constraint, optimizes the power distribution and relay node cooperation Beam-former of source node, seek the maximum safe rate of single antenna amplification forwarding junction network.
Description
Technical field
The invention belongs to radio transmission technical field more particularly to a kind of physical layers of single antenna amplification forwarding junction network
Safe transmission method.
Background technique
Safety problem is a basic problem in wireless communication.The opening of wireless medium, brings more to safety
Big challenge.The safety of physical layer technology of wireless communication is a new wireless signal secure transmission technique.By using wirelessly
Diversity, time variation and private ownership possessed by the empty time-frequency domain of channel solve Communication Security Problem in signal level, can
The security performance of great lifting system.It realizes data security transmission independent of using key encryption, by rationally setting
Signal, distribution power and modulation coding scheme are counted, information transmission security is promoted.In recent years, radio physical layer obtains safely
The very big concern of academia.
Collaboration communication is a kind of very effective mode for promoting safety of physical layer.Inside cooperation communication system, pass through
The cooperation of relay node, on the one hand can enhance the received signal quality of destination node, on the other hand can reduce eavesdropping node
Received signal quality, to increase the difference of main channel and tapping channel mutual information, the security performance of lifting system.But by
It is constrained in the half-duplex of relay node, compared to the direct communication of source node and destination node, collaboration communication completes primary communication
Process needs two stage process: source node sends data to the broadcasting process of relay node, and relay node forwards data to mesh
Node relay processes.In the two stages of information transmission, eavesdropping node can be eavesdropped, be caused more than direct communication
Information leakage, system faces safely more challenges.Existing many researchs all only consider the safety of second stage information transmission,
So that security of system energy virtual height, brings challenges to actual information transmission process.
Application No. is 201410757033.0 patent, " a kind of interfere in eavesdropping networks of more relayings ensures safety of physical layer more
Method " in consider in conjunction with beam forming and Human disturbance technology, trunk group is divided into relay forwarding group and interference group
Group.In the case where guaranteeing the maximum situation of degree of freedom in system, optimization trunk group and the beamforming vectors for interfering group, and find
Optimal transmission power allocation plan, obtains the maximum safe capacity of system.Firstly, the patent does not account for emitting source node
The optimization of power, when source node transmission power is larger, source node can make source node with maximum power transmission side face and steal
The rate between node is listened to increase, on the other hand, the speed due to the limitation of relay node power, between source node and destination node
Rate will not get a promotion.At this point, source node is sent due to not optimizing to source node power with maximum power, it will dislike
Change security of system energy, reduces system safe transmission rate.Secondly, the optimization problem target of the patent is not the safety of system
Rate, but under the premise of guaranteeing destination node receiving velocity, maximize jamming power.This makes system safe rate different
It surely is optimal.
Application No. is a kind of 201410797303.0 patent " more relaying safety of physical layer of known eavesdropping end channel information
In the case where the known eavesdropping end channel state information of the middle consideration of method ", by the way that trunk group is divided into relay forwarding group and is done
Group is disturbed, the effective and peace for combining beam forming and Human disturbance technical method guarantee information in the first time slot is transmitted in information
Full transmission effectively prevents eavesdropping end from receiving letter in the second time slot using known eavesdropping end channel information combination beam forming
Breath.It is under consideration to optimize relay forwarding group under the premise of power distribution and interfere the beamforming vectors of group, final
The maximum safe capacity of system out.Firstly, the patent does not account for optimizing source node transmission power, this can deteriorate system
Security performance.Secondly, using the method for linear search in text when solving system optimization problem.On the one hand, this makes
The computation complexity of system is high, and on the other hand, the solution of optimization problem is heavily dependent on the precision of search, in many cases
Underestimate the security performance of system.
Summary of the invention
In order to solve the disadvantage that the prior art, the present invention provide a kind of physical layer peace of single antenna amplification forwarding junction network
Full transmission method.The present invention is directed to single antenna amplification forwarding junction network, and form and cooperate in conjunction with mixing cooperative beam interference
Safe transmission scheme can reduce the security performance of computation complexity and improve data transfer.
To achieve the above object, the invention adopts the following technical scheme:
A kind of safe transmission method of physical layer of single antenna amplification forwarding junction network, the single antenna amplification forwarding relaying
Network includes a source node, at least one intermediate node, an eavesdropping node and a destination node, all node configurations
Single antenna；In at least one intermediate node, chooses one and be used as interfering nodes, remaining intermediate node is as relay node；It should
The safe transmission method of physical layer of single antenna amplification forwarding junction network includes:
First stage: source node to all relay nodes send private information, while interfering nodes to destination node, eavesdropping
Node and all relay nodes send interference signal to protect the information transmitted；
Second stage: each relay node uses the diagonal element value of pre-coding matrix to the signal that the first stage receives
It is forwarded after being multiplied；Wherein, pre-coding matrix is diagonal matrix, and diagonal element is that relay node cooperation Beam-former adds
Weight coefficient；Interfering nodes continue to send interference signal to destination node and eavesdropping node simultaneously；
Under source node, relay node and interfering nodes power constraint, optimize the power distribution and relay node of source node
Cooperative beam shaper seeks the maximum safe rate of single antenna amplification forwarding junction network.
During optimizing the power distribution and relay node cooperation Beam-former of source node, design relay node association
Make beamformer weightings coefficient, so that the interference signal that first stage interfering nodes are sent does not influence destination node.
Design is not so that the interference signal that first stage interfering nodes are sent has influential relay node to assist destination node
It further include design relay node cooperation beamformer weightings coefficient to eavesdropping node the after making beamformer weightings coefficient
Two-stage carries out brokenly zero, so that eavesdropping node does not receive useful information in second stage.
This method further includes designing interfering nodes not send interference signal in second stage, finally obtains single antenna amplification and turns
Send out the optimization problem of equal value of the maximum safe rate of junction network.
This method comprises: by the optimization problem of equal value be divided into internal layer relay node cooperation Beam-former optimization problem and
Outer layer source node sends power optimization problem.
For internal layer relay node cooperation Beam-former optimization problem, first to internal layer relay node cooperation Wave beam forming
Device optimization problem does substitution of variable, corresponding to the optimal solution for then solving internal layer relay node cooperation Beam-former optimization problem
Relay node cooperation beam former coefficients.
The solution that outer layer source node sends power optimization problem is solved, source node is obtained and sends power allocation scheme, and substitute into
In the optimal solution of internal layer relay node cooperation Beam-former optimization problem, relay node cooperation Beam-former is finally acquired
Optimum coefficient.
The solution that outer layer source node sends power optimization problem is solved using dichotomy.
The internal layer relay node cooperation Beam-former optimization problem is a generalized Rayleigh quaotient problem.
The quasiconcave function of the power distribution of safe rate the being source node of single antenna amplification forwarding junction network.
The invention has the benefit that
(1) present invention considers the safe transmission scheme of integration and cooperation Wave beam forming and cooperation interference, to information transmission
Two stages are all protected, and the transmission power of source node is incorporated the range of optimization, have obtained optimal power distribution,
Under the premise of safe transmission, maximum safe transmission rate can be obtained.
(2) computation complexity is lower: being a generalized Rayleigh quaotient problem for internal layer optimization problem, it is thus possible to be closed
Formula solution.For outer layer optimization problem, it is only necessary to consider three kinds of situations, have closed solutions in the case of two kinds, in another case can
It is effectively solved and is obtained by dichotomy, computation complexity is low.
Detailed description of the invention
Fig. 1 is system model involved in the method for the present invention.
Fig. 2 is the simulation result of the security strategy of the integration and cooperation Wave beam forming used in the present invention and cooperation interference.
Fig. 3 (a) is the change curve of safe rate and source node power constraint.
Fig. 3 (b) is the change curve of safe rate and intermediate node total power constraint.
Fig. 4 is the safe transmission method of physical layer flow chart that mixing cooperative beam of the invention is formed and cooperation is interfered.
Specific embodiment
The present invention will be further described with embodiment with reference to the accompanying drawing:
The present invention relates to system model as shown in Figure 1, including source node, destination node, eavesdropping node and N number of centre
Node.One of intermediate node is chosen as interfering nodes, remaining N-1 is 1 to N-1 as relay node number.
All nodes all configure single antenna, work in semiduplex mode.Wherein, N is the positive integer more than or equal to 1.
Relay node carries out cooperative beam formation to the data received and is transmitted to destination node.
During the two stages of information transmission, interfering nodes send interference signal and interfere eavesdropping node, simultaneously
Eavesdropping node all eavesdrops two stage information.
Due to introducing interfering nodes, the two stages of information transmission are all protected.
In addition, relay node carries out eavesdropping node by cooperative beam shaper in the transmission process of second stage
Reception data broken zero eavesdrop node in second stage and do not receive useful information.The feelings of same method are used in relay node
Under condition, in the cooperation interference of not first stage, the security performance of system will be substantially reduced, this can be from as shown in Figure 2
Use integration and cooperation Wave beam forming and cooperation interference security strategy simulation result diagram in see.
After using integration and cooperation Wave beam forming and the safe transmission scheme of cooperation interference, and relay node is second
When stage breaks zero to eavesdropping node, the equivalent optimization problem of system can be decomposed into inside and outside two layers of subproblem.
As shown in figure 4, mixing cooperative beam of the invention is formed and the safe transmission method of physical layer of cooperation interference, including
Following steps:
1) first stage, source node sends private information to all relay nodes, while interfering nodes send interference signal
Information transmission is protected.
The signal that relay node and eavesdropping node receive in the first stage is respectively as follows:
Wherein:It is that all relay nodes receive the vector representation of signal and the reception signal of eavesdropping node respectively,
fR,fEIt is channel of the source node to all relay nodes and eavesdropping node, h respectivelyR,qEIt is interfering nodes respectively to all relayings
The channel of node and eavesdropping node, PsIt is the transmission power of source node,It is the transmission power of interfering nodes first stage, s is
The secret signal that source node is sent, z(1)It is the interference signal sent the interfering nodes first stage, and hasnR,It is the vector form of gaussian additive noise and eavesdropping node at relay node respectively
The gaussian additive noise at place, the noise at each node is independent of one another, mean value 0, variance σ2。
2) second stage, the signal that relay node will receive amplify forwarding, pre-coding matrix W=diag (ω*)
It is diagonal matrix, i.e., each relay node carries out phase using the value of pre-coding matrix diagonal element to the signal that the first stage is connected to
It is forwarded after multiplying, wherein ω is the beamformer weightings coefficient at relay node.Meanwhile interfering nodes in second stage after supervention
Interference signal is sent, the information that destination node and eavesdropping node receive is respectively as follows:
WhereinIt is the reception signal of destination node and eavesdropping node, g respectivelyR,cEIt is all relay nodes respectively
To the channel of destination node and eavesdropping node, gIIt is channel of the interfering nodes to destination node,It is interfering nodes second stage
Transmission power, z(2)It is the interference signal sent the interfering nodes first stage, It is mesh respectively
Node at and eavesdropping node at gaussian additive noise, the noise at each node is independent of one another, mean value 0, variance σ2。
afgIt is channel vector fR,gRThe new vector that corresponding element product is constituted, acf,agh,achWith similar form, ωHafg,ωHacf,ωHagh,ωHachSource node is respectively represented to destination node and eavesdropping node, interfering nodes to destination node
Equivalent channel between eavesdropping node；
It is the equivalent noise at destination node,
It is the equivalent noise for eavesdropping second stage at node.
Equivalent eavesdropping node receives information are as follows:
3) in source node, relay node under interfering nodes power constraint, passes through optimization source node and sends power, relaying section
Point cooperative beam shaper and the two stage power distribution of interfering nodes, maximize the safe rate of system, optimization problem are as follows:
Rs=max [I (yD；s)-I(yE；s)]+
s.t.ωHT(Ps)ω≤PR,Ps≤PT
In formula: PRIndicate that the maximum of all intermediate nodes sends general power.The transmission power of namely all relay nodes
The sum of no more than this value；PTBe that the maximum of source node sends power, that is, source node transmission power no more than this
A value；It is that the maximum of interfering nodes sends power.Namely the transmission power of interfering nodes is no more than this value.
Wherein, I (yE；S) indicating that source node sends data is s, and it is y that eavesdropping node, which receives data,EWhen mutual information, indicate
By the past information content of transmission, that is, the transmission rate between source node and eavesdropping node；I(yD；S) source is indicated
It is s that node, which sends data, and it is y that destination node, which receives data,DWhen mutual information, that is, the biography between source node and destination node
Defeated rate.
Rgg=diag ([| gR,1|2,|gR,2|2,…,|gR,N-1|2]),
gR,iIt is channel vector gRI-th of element,I is unit matrix,
Rcc,Rff,RhhForm and RggUnanimously,Rgh,RchForm and RfgUnanimously,It is source node respectively,
Sending node and the maximum of interfering nodes send power, that is to say, that the transmission power of source node, the transmission of all relay nodes
The sum of power, the transmission power of interfering nodes is respectively no more than
According to above-mentioned method, it is necessary first to obtain the relay node cooperation wave beam of interfering nodes power distribution and simplification
Then shaper coefficient carries out the design of optimal power distribution and Beam-former.
Cooperative node beam former coefficients are designed first, so that the interference signal that first stage interfering nodes are sent is to mesh
Node do not influence, i.e. ωHagh=0；
Secondly, design cooperative node beam former coefficients carry out brokenly zero to eavesdropping node second stage, so that eavesdropping section
Point does not receive useful information, i.e. ω in second stageHacf=0；
Finally, due to which eavesdropping node second stage does not receive useful information, design interfering nodes second stage is not sent
Interference signal, i.e.,
Obtain safe rate and its power constraint are as follows:
s.t.ωHacf=0, ωHagh=0
ωHT(Ps)ω≤PR,Ps≤PT,
System safe rate is therefore the monotonically increasing function for the interfering nodes first stage sending power has
Wherein ω=H⊥ν, H⊥It is H=[acf,agh]HThe projection matrix of kernel, i.e. HH⊥=0, meet
Wherein, H⊥Column vector constitute one group of base of H kernel, ν is equivalent to coordinate of the ω under one group of base of H kernel,
That is each element in ν is exactly projection value of the ω on each base.
It enables:
B=| fE|2；
After then the equation in constraint is replaced, the optimization problem of available equivalence:
To the optimization problem using internal layer optimization problem is first sought, i.e., about the optimization problem of ν on molecule, then solve outer
Layer is about PsOptimization problem, the steps include: to do substitution of variable to internal layer optimization problem first, enable
Wherein A (Ps) it is a Hermitian matrix, meet
Corresponding internal layer optimization problem are as follows:
Wherein
It is two interim transition variables.
The solution of above-mentioned optimization problem is
WhereinIt is optimal solution, corresponding relay node cooperation beam former coefficients are
Wherein ωoIt is optimal solution,It is vector
Two norms.Corresponding outer layer optimization problem are as follows:
s.t.0≤Ps≤PT
Wherein: h (Ps)=Psf(Ps)=PRPshHJ(Ps) h,
Enable m (Ps)=(a+bPs)h′(Ps)-bσ2-bh(Ps),
WhereinIt is function h (Ps) about PsSingle order
Derivative, J2(Ps)=J (Ps)J(Ps), source node optimal power allocation PsThere are following three kinds of situations:
(1) when m (0)≤0, optimal power distributionWhereinIt is optimal solution.
(2) as m (PTWhen) >=0, optimal power distribution
(3) as m (0) > 0 and m (PT) < 0 when, optimal power distribution isWherein PcIt is so that m (Ps) it is 0
Unique real root, can use dichotomy and solve to obtain numerical solution.
Optimal power distribution only has these three situations, after acquiring optimal source node power distribution, can substitute into
Inside the optimal solution of internal layer optimization problem, relay node cooperation beam former coefficients are acquired.It can be with from Fig. 3 (a) and Fig. 3 (b)
See, system safe rate is the quasiconcave function that source node sends power, that is to say, that source node sends power with maximum and sends
Not necessarily safety is optimal.
The invention proposes the safe transmission method of physical layer of a kind of formation of mixing cooperative beam and cooperation interference, multiple
One is had chosen inside intermediate node as interfering nodes sends interference signal to surreptitiously during information transmission is two stage
It listens node to be interfered, protects the transmission of private information.The original maximum optimization problem up to safe rate be it is non-convex, pass through
Some intuitive approximations are done to primal problem, obtain sending power and relay node cooperation beam former coefficients about source node
Inside and outside bilevel optimization problem.The optimization problem of internal layer relay node Beam-former is a generalized Rayleigh quaotient problem, can
Obtain closed expression.Outer layer optimization problem shows that system safe rate is the quasiconcave function for sending power, and source node is with maximum
Power transmission is not necessarily optimal, can effectively solve to obtain optimal transmission power by dichotomy.The present invention examines
Safety can be obtained under some simplification by having considered integration and cooperation Wave beam forming and cooperation jamming program lifting system security performance
The optimal solution of optimization problem；Computation complexity is low.
Above-mentioned, although the foregoing specific embodiments of the present invention is described with reference to the accompanying drawings, not protects model to the present invention
The limitation enclosed, those skilled in the art should understand that, based on the technical solutions of the present invention, those skilled in the art are not
Need to make the creative labor the various modifications or changes that can be made still within protection scope of the present invention.
Claims (3)
1. a kind of safe transmission method of physical layer of single antenna amplification forwarding junction network, which is characterized in that the single antenna is put
Big forward relay network includes a source node, at least two intermediate nodes, an eavesdropping node and a destination node, institute
There is node to configure single antenna；It at least one intermediate node, chooses one and is used as interfering nodes, during remaining intermediate node is used as
After node；The safe transmission method of physical layer of the single antenna amplification forwarding junction network includes:
First stage: source node to all relay nodes send private information, while interfering nodes to destination node, eavesdropping node
And all relay nodes send interference signal to protect the information transmitted；
Second stage: each relay node carries out the signal that the first stage receives using the diagonal element value of pre-coding matrix
It is forwarded after multiplication；Wherein, pre-coding matrix is diagonal matrix, and diagonal element is relay node cooperation beamformer weightings system
Number；Interfering nodes continue to send interference signal to destination node and eavesdropping node simultaneously；
Under source node, relay node and interfering nodes power constraint, optimize the power distribution and relay node cooperation of source node
Beam-former seeks the maximum safe rate of single antenna amplification forwarding junction network；
During optimizing the power distribution and relay node cooperation Beam-former of source node, relay node cooperation wave is designed
Beamformer weighting coefficient, so that the interference signal that first stage interfering nodes are sent does not influence destination node；
Design is not so that the interference signal that first stage interfering nodes are sent has influential relay node cooperation wave to destination node
It further include design relay node cooperation beamformer weightings coefficient to eavesdropping node second-order after beamformer weighting coefficient
Duan Jinhang broken zero, so that eavesdropping node does not receive useful information in second stage；
This method further includes designing interfering nodes not send interference signal in second stage, is finally obtained in single antenna amplification forwarding
After the optimization problem of equal value of the maximum safe rate of network；This method comprises: the optimization problem of equal value is divided into internal layer relaying
Node cooperative beam shaper optimization problem and outer layer source node send power optimization problem；
Wherein, optimization problem of equal value are as follows:
Wherein: PRIndicate that the maximum of all intermediate nodes sends general power；PsIt is the transmission power of source node；PTIt is source node
Maximum sends power；σ2For the noise variance at each node；
B=| fE|2；
ω=H⊥ν, H⊥It is H=[acf,agh]HThe projection matrix of kernel, i.e. HH⊥=0, meet, wherein H⊥
Column vector constitute one group of base of H kernel, ν is equivalent to coordinate of the ω under one group of base of H kernel；
gR,iIt is channel vector gRI-th of element,I is unit matrix, Rcc,Rff,
RhhForm and RggUnanimously,Rgh,RchForm and RfgUnanimously,It is that the maximum of interfering nodes sends power；fE
It is channel of the source node to eavesdropping node, qEIt is channel of the interfering nodes to eavesdropping node,
afgIt is channel vector fR,gRThe new vector that corresponding element product is constituted, acf,agh,achWith similar form, ωHafg,
ωHacf,ωHagh,ωHachRespectively represent source node to destination node and eavesdropping node, interfering nodes to destination node and surreptitiously
Listen the equivalent channel between node；
fRIt is channel of the source node to all relay nodes, hRIt is channel of the interfering nodes to all relay nodes；gR,cEIt is respectively
Channel of all relay nodes to destination node and eavesdropping node；Pre-coding matrix W=diag (ω*) it is diagonal matrix, i.e., often
A relay node is forwarded after being multiplied to the signal that the first stage is connected to using the value of pre-coding matrix diagonal element, wherein ω
It is the beamformer weightings coefficient at relay node；
It is excellent to internal layer relay node cooperation Beam-former first for internal layer relay node cooperation Beam-former optimization problem
Change problem does substitution of variable, then solves in corresponding to the optimal solution of internal layer relay node cooperation Beam-former optimization problem
After node cooperative beam shaper coefficient；
The solution that outer layer source node sends power optimization problem is solved, source node is obtained and sends power allocation scheme, and substitute into internal layer
In the optimal solution of relay node cooperation Beam-former optimization problem, the best of relay node cooperation Beam-former is finally acquired
Coefficient；
The safe rate of single antenna amplification forwarding junction network is the quasiconcave function of the power distribution of source node.
2. a kind of safe transmission method of physical layer of single antenna amplification forwarding junction network as described in claim 1, feature
It is, solves the solution that outer layer source node sends power optimization problem using dichotomy.
3. a kind of safe transmission method of physical layer of single antenna amplification forwarding junction network as described in claim 1, feature
It is, the internal layer relay node cooperation Beam-former optimization problem is a generalized Rayleigh quaotient problem.
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| CN107359929B (en) * | 2017-07-27 | 2021-01-19 | 西安交通大学 | Air interface encryption method based on constellation overlapping in bidirectional relay system |
| CN108462958A (en) * | 2018-03-21 | 2018-08-28 | 太原科技大学 | A kind of safety of physical layer Transmission system based on non-orthogonal multiple access |
| CN108631825B (en) * | 2018-05-18 | 2021-06-01 | 郑州大学 | Physical layer safety transmission method for enhancing bidirectional AF relay cooperation wireless communication system |
| CN108809365B (en) * | 2018-06-13 | 2021-07-09 | 华侨大学 | Cooperative scrambling secure transmission method based on optimal user selection of relay link |
| CN110430566B (en) * | 2019-07-26 | 2020-12-25 | 西北工业大学 | Two-hop multi-relay network secure transmission method based on energy collection |
| CN113422668B (en) * | 2021-06-15 | 2022-05-27 | 河南科技大学 | Cooperative communication transmission method based on crisp-resistant relay |
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