CN103856299A - Signal safe transmission method of MIMO amplifying forwarding relay network - Google Patents
Signal safe transmission method of MIMO amplifying forwarding relay network Download PDFInfo
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- CN103856299A CN103856299A CN201410025414.XA CN201410025414A CN103856299A CN 103856299 A CN103856299 A CN 103856299A CN 201410025414 A CN201410025414 A CN 201410025414A CN 103856299 A CN103856299 A CN 103856299A
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Abstract
The invention provides a signal safe transmission method of an MIMO amplifying forwarding relay network. According to the method, in the process of designing a precoding matrix, the GSVD-ZF-SVD joint strategy is adopted to parallelize a system, the expression mode of the safety speed of the system is simplified, and an optimization problem is solved under power constraint; in the power distribution process, the non-convexity of the original problem makes direct solutions difficult to work out, each sub-problem can have the only optimal solution due to the adoption of alternating iteration and optimization, and a point of convergence can be finally obtained through alternating iteration. In the method, joint precoding of a sending node end and a relay node is considered, channels are parallelized through the GSVD-ZF-SVD method, and therefore problem analysis is simplified. Power distribution is optimized. Calculation complexity is small.
Description
Technical field
The invention belongs to radio transmission technical field, particularly a kind of signals security transmission method of MIMO amplification forwarding junction network.
Background technology
Safety problem is a basic problem in radio communication.The opening of wireless medium, has brought larger challenge to fail safe.The physical layer safe practice of radio communication is a new wireless signal safe transmission technology.It does not rely on and utilizes secret key encryption to realize Security Data Transmission, but by appropriate design signal, distribution power and modulation coding mode, improve the safe speed of signal transmission, the information that prevents stolen hearer eavesdrop, thereby promoted the safety of communication.In recent years, radio physical layer has obtained safely the very big concern of academia.
Multiple-input and multiple-output (MIMO) technology and trunking traffic technology are two means that promote the physical layer safety of radio communication.They can, by utilizing spatial degrees of freedom, make the design of signal more flexible, safe speed that can both raising radio transmission.Both combinations can further be promoted to the physical layer transmission safety of radio communication.But, the physical layer safe transmission signal of a MIMO junction network is directly carried out to optimal design very difficult, cannot obtain an effective result, therefore the result of study of this respect is less at present.
J.Huang, A.L.Swindlehutst document " Cooperative jamming for secure communications in MIMO relay network; " IEEE Trans.Signal Processing, vol.59, no.10, pp.4871-4884, has considered to utilize repeat transmitted interference signal to realize signals security transmission in Oct.2011.But what consider is the trunking plan that relaying adopts decoding to forward.Decoding forwarding scheme requires via node to decode to information, and this increases the complexity of system, and the time delay of simultaneity factor increases, and also must guarantee to be correctly decoded at via node.
Liu Yang, Song Mei, the people such as Zhang Yong have mentioned the problem of relaying safety in patent of invention " the safe retransmission method of wireless relay based on hierarchical modulation ", but do not consider to utilize MIMO technology, and in addition, what inventor considered is also to decode at via node.
Summary of the invention
The object of the present invention is to provide a kind of signals security transmission method of MIMO amplification forwarding junction network, to improve the fail safe of communication; The present invention is that the radio physical layer under MIMO junction network is proposed safely to algorithm complex is lower and can realize the method for higher rate.
To achieve these goals, the present invention adopts following technical scheme:
A kind of signals security transmission method of MIMO amplification forwarding junction network, described MIMO amplification forwarding junction network comprises a sending node, a via node, an eavesdropping node and a receiving node, each node is all equipped with many antennas, and number of antennas is respectively N
a, N
r, N
e, N
b;
Described signals security transmission method comprises the following steps:
1) first stage, sending node carries out linear predictive coding to transmission information, and the information that via node and eavesdropping node receive sending node transmitting is respectively: y
r=H
aRfs+n
r,
wherein H
aR, H
aEbe the channel matrix of sending node to via node and eavesdropping node, F is sending node Linear precoding matrix, and s is sending node transmitting dope vector, and covariance matrix is
n
r,
be additive Gaussian noise vector, covariance matrix is
y
r,
to receive vector;
2) second stage, via node, by the signal receiving, carries out amplification forwarding, and pre-coding matrix is W, and the information that receiving node and eavesdropping node receive is for being respectively:
y
B=H
RBWH
ARFs+H
RBWn
R+n
B,
Wherein H
rB, H
rEthe channel matrix of via node to receiving node and eavesdropping node, n
b,
be additive white Gaussian noise, covariance matrix is
y
b,
to receive vector;
The eavesdropping node reception information of equivalence is:
3) under power constraint, maximize the speed of safe transmission, optimized power is distributed, and realizes maximum safe speed:
R
s=max(I(y
B;s)-I(y
E;s))
+
The present invention further improves and is: the step that obtains the pre-coding matrix of sending node and via node comprises:
First to channel matrix H
aR, H
aEcarrying out generalized singular value decomposition obtains:
H
AR=UΛ
ARΦ
H
AE=VΛ
AEΦ
Wherein Φ=R Ψ
ha N
a× N
anonsingular matrix, U, V is unitary matrice Λ
aRand Λ
aEfor:
Wherein q+s=N
a, K=N
a=M,
D
aR=diag (d
aR, 1, d
aR, 2..., d
aR, s), D
aE=diag (d
aE, 1, d
aE, 2..., d
aE, s), wherein d
aR, iascending order is arranged, d
aE, idescending; Designing the pre-coding matrix of making a start is:
Wherein
The present invention further improves and is: in step 3), obtaining safe speed and power constraint thereof is:
Wherein P
1, P
2respectively the gross power of sending node and via node,
be respectively
k diagonal element.
The present invention further improves and is: safe speed and power constraint thereof are adopted to the alternately method of iterative; First carry out substitution of variable z
k=p
a,k,
Above-mentioned optimization problem is out of shape, as given z
k, optimize r
kthe problem of being optimized is:
Its solution is
Wherein [x]
+represent to get the greater between x and 0, variable ν need to meet following formula
As fixing r
k, optimize z
k, the problem of being optimized is
The present invention further improves and is: when sending node is than the few or identical situation of eavesdropping node antenna, separate to be:
(1) when
Time, separate and be
wherein set omega is all d of meeting
k=a
kb
k-b
kc
k-c
kthe k composition of >0,
When sending node has the situation of more antennas than eavesdropping node antenna, separate to be:
Wherein set omega
0={ k:k ∈ Ω, c
k=0}, Ω
+={ k:k ∈ Ω, c
k>0};
By replacing iteration, end product converges to a some place, obtains power division.
Compared with the existing methods, the invention has the beneficial effects as follows:
1, consider the associating precoding of sending node end and via node, utilized GSVD-ZF-SVD method, by channel parallelization, simplified the analysis difficulty of problem; And carry out optimum power division.Under the prerequisite of safe transmission, realize flank speed transmission.
2, computation complexity is lower: alternately the result of iteration optimization has two, and one is to obtain closed solutions, and one is the result that obtains a similar water filling, and computation complexity is low.
Accompanying drawing explanation
Fig. 1 is the related system model of the inventive method.
Fig. 2 is the parallel channel figure of equivalence in the present invention.
Fig. 3 a and Fig. 3 b are existing methodical simulation results, and wherein: Fig. 3 a has provided the change curve of safe speed and via node power constraint, Fig. 3 b has provided the change curve of safe speed and sending node end power constraint.
Embodiment
Below in conjunction with accompanying drawing and specific embodiment, the present invention is described in further detail.
The present invention relates to system model as shown in Figure 1, have a sending node (Alice), a via node (Relay), a receiving node (Bob) and an eavesdropping node (Eve), each node disposes multiple antennas, and number of antennas is respectively N
a, N
r, N
e, N
b.Via node adopts the relaying strategy of AF (amplification forwarding) to carry out to received signal amplification forwarding.By (sending node-trunk channel matrix, sending node-tapping channel matrix) utilized to generalized singular value decomposition (GSVD), match at sending node end design pre-coding matrix, obtain sending node pre-coding matrix and be
at via node, via node utilizes ZF-SVD method design pre-coding matrix to the information receiving, and obtains relaying pre-coding matrix and is
thereby realize the parallelization of channel, as shown in Figure 2.
A, when sending node end number of antennas is not as eavesdropping node is many time, the power division obtaining is:
(1) when
Time, separate and be
wherein set omega is all d of meeting
k=a
kb
k-b
kc
k-c
kthe k composition of >0,
B and when sending node end number of antennas is more time, obtain power division to be:
Can see, in the time that sending node number of antennas is less, sending node end power is not The more the better, and it exists an optimal value, and this can reflect from Fig. 3 b.In this case, if sending node end power all uses, first stage leakage rate is increased, and the rate of information throughput of second stage is subject to the constraint of via node power, and the safe speed of system has been reduced on the contrary.And in the time that sending node number of antennas is more, there will be c
k=0 situation, in this time, eavesdropping node is actually information not available, thereby all distributes the sending node power to there will not be the anti-situation of falling of speed.These discussion can be found out from Fig. 3.No matter which kind of situation, final safe speed all can tend to be steady, and this is the reason of sending node end or via node power limited.
The signals security transmission method of a kind of MIMO amplification forwarding of the present invention junction network, comprises the following steps:
1) first stage, sending node carries out linear predictive coding to transmission information, and via node and eavesdropping node receive respectively the information y of sending node transmitting
r=H
aRfs+n
r,
wherein H
aR, H
aEbe channel matrix, F is sending node Linear precoding matrix, and s is sending node transmitting dope vector, n
r,
additive Gaussian noise vector, y
r,
to receive vector.
2) second stage, via node, by the signal receiving, carries out amplification forwarding, and pre-coding matrix is W, and the information that receiving node and eavesdropping node receive is y
b=H
rBwH
aRfs+H
rBwn
r+ n
b,
So just can obtain equivalent eavesdropping node reception information is
3) under power constraint, maximize the speed of safe transmission, optimized power is distributed, and realizes maximum safe speed:
R
s=max(I(y
B;s)-I(y
E;s))
+
According to above-mentioned method, first need to obtain the pre-coding matrix of sending node and via node, then carry out optimum power division.
Adopt the method for GSVD-ZF-SVD:
1, first to channel matrix H
aR, H
aEcarrying out generalized singular value decomposition obtains:
H
AR=UΛ
ARΦ
H
AE=VΛ
AEΦ
Wherein Φ=R Ψ
ha N
a× N
anonsingular matrix, Λ
aRand Λ
aEthere is following form
Wherein q+s=N
a, K=N
a=M,
D
aR=diag (d
aR, 1, d
aR, 2..., d
aR, s), D
aE=diag (d
aE, 1, d
aE, 2..., d
aE, s), wherein d
aR, iascending order is arranged, d
aE, idescending.
Design sending node pre-coding matrix is:
Wherein
2, establishing via node to the singular value decomposition of receiving node channel matrix is
design pre-coding matrix W makes to eavesdrop node and does not receive any information in second stage, even
h
rEthe projection matrix of kernel, makes H
rEw=0.Then utilize singular value decomposition, design relaying pre-coding matrix is
So just complete the design of the pre-coding matrix of sending node and via node.
3,, in order to realize optimum power division, in the above in the situation of pre-coding matrix of design, obtain safe speed and power constraint thereof and be
Above direct solution, optimization problem difficulty is larger, adopts the alternately method of iterative.Be substitution of variable z
k=p
a,k,
Above-mentioned optimization problem is out of shape, as given z
k, optimize r
kthe problem of being optimized is:
Its solution is
Wherein [x]
+represent to get the greater between x and 0, variable ν need to meet following formula
As fixing r
k, optimize z
k, the problem of being optimized is
When sending node is than the few or identical situation of eavesdropping node antenna, separate to be
(1) when
Time, separate and be
wherein set omega is all d of meeting
k=a
kb
k-b
kc
k-c
kthe k composition of >0,
When sending node has the situation of more antennas than eavesdropping node antenna, separate to be
Wherein set omega
0={ k:k ∈ Ω, c
k=0}, Ω
+={ k:k ∈ Ω, c
k>0}.
By replacing iteration, end product converges to a some place, obtains power division.
The present invention proposes a kind of signals security transmission method of MIMO amplification forwarding junction network, in the time of design pre-coding matrix, adopt the federation policies of GSVD-ZF-SVD, make system parallelization, simplify the expression-form of system safety speed, under the condition of power constraint, solved an optimization problem.In carrying out power division, the non-convexity of former problem makes direct solution be difficult to carry out, and adopts the alternately mode of iteration optimization, and each subproblem can obtain unique optimal solution, and finally alternately iteration can obtain a convergence point, and this convergence point is a critical point certainly.When eavesdropping node number of antennas is no less than sending node end, when via node power is fixing, there is an optimal value in the power of making a start.
Claims (5)
1. a signals security transmission method for MIMO amplification forwarding junction network, is characterized in that, described MIMO amplification forwarding junction network comprises a sending node, a via node, an eavesdropping node and a receiving node, each node is all equipped with many antennas, and number of antennas is respectively N
a, N
r, N
e, N
b;
Described signals security transmission method comprises the following steps:
1) first stage, sending node carries out linear predictive coding to transmission information, and the information that via node and eavesdropping node receive sending node transmitting is respectively: y
r=H
aRfs+n
r,
wherein H
aR, H
aEbe the channel matrix of sending node to via node and eavesdropping node, F is sending node Linear precoding matrix, and s is sending node transmitting dope vector, and covariance matrix is
n
r,
be additive Gaussian noise vector, covariance matrix is
y
r,
to receive vector;
2) second stage, via node, by the signal receiving, carries out amplification forwarding, and pre-coding matrix is W, and the information that receiving node and eavesdropping node receive is for being respectively:
Wherein H
rB, H
rEthe channel matrix of via node to receiving node and eavesdropping node, n
b,
be additive white Gaussian noise, covariance matrix is
y
b,
to receive vector;
The eavesdropping node reception information of equivalence is:
3) under power constraint, maximize the speed of safe transmission, optimized power is distributed, and realizes maximum safe speed:
R
s=max(I(y
B;s)-I(y
E;s))
+
2. the signals security transmission method of a kind of MIMO amplification forwarding junction network according to claim 1, is characterized in that, the step that obtains the pre-coding matrix of sending node and via node comprises:
First to channel matrix H
aR, H
aEcarrying out generalized singular value decomposition obtains:
H
AR=UΛ
ARΦ
H
AE=VΛ
AEΦ
Wherein Φ=R Ψ
ha N
a× N
anonsingular matrix, U, V is unitary matrice, Λ
aRand Λ
aEfor:
Wherein q+s=N
a, K=N
a=M,
D
aR=diag (d
aR, 1, d
aR, 2..., d
aR, s), D
aE=diag (d
aE, 1, d
aE, 2..., d
aE, s), wherein d
aR, iascending order is arranged, d
aE, idescending; Designing the pre-coding matrix of making a start is:
If via node to the singular value decomposition of validated user channel matrix is
design pre-coding matrix W makes to eavesdrop node and does not receive any information in second stage, even
h
rEthe projection matrix of kernel, makes H
rEw=0; Then utilize singular value decomposition, design relaying pre-coding matrix is
3. the signals security transmission method of a kind of MIMO amplification forwarding junction network according to claim 1, is characterized in that, obtains safe speed and power constraint thereof to be in step 3):
4. the signals security transmission method of a kind of MIMO amplification forwarding junction network according to claim 3, is characterized in that, safe speed and power constraint thereof are adopted to the alternately method of iterative; First carry out substitution of variable z
k=p
a,k,
above-mentioned optimization problem is out of shape, as given z
k, optimize r
kthe problem of being optimized is:
Its solution is
Wherein [x]
+represent to get the greater between x and 0, variable ν need to meet following formula
As fixing r
k, optimize z
k, the problem of being optimized is
5. the signals security transmission method of a kind of MIMO amplification forwarding junction network according to claim 4, is characterized in that,
When sending node is than the few or identical situation of eavesdropping node antenna, separate to be:
(1) when
time, separate and be
wherein set omega is all d of meeting
k=a
kb
k-b
kc
k-c
kthe k composition of >0,
When sending node has the situation of more antennas than eavesdropping node antenna, separate to be:
Wherein set omega
0={ k:k ∈ Ω, c
k=0}, Ω
+={ k:k ∈ Ω, c
k>0};
By replacing iteration, end product converges to a some place, obtains power division.
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Cited By (6)
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CN105978610A (en) * | 2016-05-13 | 2016-09-28 | 国网江苏省电力公司电力科学研究院 | Base-station forwarding multi-antenna processing method concerning wireless physical layer safety |
CN106059705A (en) * | 2016-05-17 | 2016-10-26 | 北京邮电大学 | Relay physical layer safe transmission method |
CN106953819A (en) * | 2017-03-31 | 2017-07-14 | 南京邮电大学 | Physical layer secret communication method based on multi radio cooperation precoding |
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 |
CN108847872A (en) * | 2018-06-07 | 2018-11-20 | 四川大学 | Optimization method based on convex upper bound wireless power amplification forward pass relay system transceiver |
CN111246460A (en) * | 2020-01-16 | 2020-06-05 | 电子科技大学 | Low-complexity and low-time-delay secure transmission method |
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CN105978610A (en) * | 2016-05-13 | 2016-09-28 | 国网江苏省电力公司电力科学研究院 | Base-station forwarding multi-antenna processing method concerning wireless physical layer safety |
CN106059705A (en) * | 2016-05-17 | 2016-10-26 | 北京邮电大学 | Relay physical layer safe transmission method |
CN106059705B (en) * | 2016-05-17 | 2018-10-26 | 北京邮电大学 | A kind of relaying safe transmission method of physical layer |
CN106953819A (en) * | 2017-03-31 | 2017-07-14 | 南京邮电大学 | Physical layer secret communication method based on multi radio cooperation precoding |
CN106953819B (en) * | 2017-03-31 | 2019-12-24 | 南京邮电大学 | Physical layer secret communication method based on multi-radio cooperation precoding |
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 |
CN108847872A (en) * | 2018-06-07 | 2018-11-20 | 四川大学 | Optimization method based on convex upper bound wireless power amplification forward pass relay system transceiver |
CN111246460A (en) * | 2020-01-16 | 2020-06-05 | 电子科技大学 | Low-complexity and low-time-delay secure transmission method |
CN111246460B (en) * | 2020-01-16 | 2020-12-08 | 电子科技大学 | Low-complexity and low-time-delay secure transmission method |
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