CN111800217A - Full-duplex cognitive multi-input multi-output relay cooperation method under non-ideal channel state - Google Patents

Full-duplex cognitive multi-input multi-output relay cooperation method under non-ideal channel state Download PDF

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CN111800217A
CN111800217A CN202010752693.5A CN202010752693A CN111800217A CN 111800217 A CN111800217 A CN 111800217A CN 202010752693 A CN202010752693 A CN 202010752693A CN 111800217 A CN111800217 A CN 111800217A
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full
duplex
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node
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尚志会
王晓华
韦军
罗旭
杨敏
潘桃桃
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Zunyi Medical University
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04K—SECRET COMMUNICATION; JAMMING OF COMMUNICATION
    • H04K3/00—Jamming of communication; Counter-measures
    • H04K3/40—Jamming having variable characteristics
    • H04K3/43—Jamming having variable characteristics characterized by the control of the jamming power, signal-to-noise ratio or geographic coverage area
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B17/00—Monitoring; Testing
    • H04B17/30—Monitoring; Testing of propagation channels
    • H04B17/309—Measuring or estimating channel quality parameters
    • H04B17/336—Signal-to-interference ratio [SIR] or carrier-to-interference ratio [CIR]
    • 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
    • H04B7/0413—MIMO systems
    • 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
    • H04B7/0848—Joint weighting
    • H04B7/0857—Joint weighting using maximum ratio combining techniques, e.g. signal-to- interference ratio [SIR], received signal strenght indication [RSS]

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Abstract

The invention discloses a full-duplex cognitive multi-input multi-output relay cooperation method in a non-ideal channel state, and belongs to the technical field of multi-antenna full-duplex wireless transmission. Firstly, according to a channel estimation model in a first time slot non-ideal channel state, a secondary user transmitter selects and configures an optimal antenna to send a signal to a secondary user relay node under the constraint condition of main user interference temperature, and a full-duplex target node adopts a zero-forcing beam forming mode to transmit a directional trunk to an eavesdropping userA scrambling signal; then, according to a channel estimation model in a non-ideal channel state of a second time slot, a secondary user relay node forwards data to a full-duplex target node under the constraint condition of main user interference temperature, wherein any L in the full-duplex target nodeBReceiving signal from root antenna, N remaining in full-duplex destination nodeB‑LBThe antenna transmits the jamming to the eavesdropping user. The method effectively improves the physical layer security transmission performance of the full-duplex cognitive eavesdropping network under the non-ideal channel, and reduces the eavesdropping risk of the whole network system.

Description

Full-duplex cognitive multi-input multi-output relay cooperation method under non-ideal channel state
Technical Field
The invention belongs to the technical field of multi-antenna full-duplex wireless transmission, and particularly relates to a full-duplex cognitive multi-input multi-output relay cooperation method in a non-ideal channel state.
Background
In recent years, as the problems of shortage and waste of spectrum resources become more serious, cognitive radio technology is developed. The generation of cognitive radio effectively relieves the problem of spectrum resource tension, wherein the shared spectrum resource under the interference temperature constraint is mainly the spectrum resource of a primary user shared by secondary users on the premise of not influencing the service quality of the primary user. Then, the interaction of the spectrum resources frequently entails the problem of information security, and the physical layer security technology has attracted attention of scholars as an anti-eavesdropping transmission technology.
Indeed, many literature studies now consider physical layer security for outdated channel state information. The document "secret performance analysis of SIMO underlying radio systems with thusly addressed CSI" (Lei H, Zhang J, Park K H, et al. secret performance analysis of SIMO underlying radio systems with outdated CSI [ J ]. IetCommunications,2017,11(12): 1961-. In view of the above-mentioned document considering a single-hop Cognitive scenario, a document "Secure Transmission in Cognitive MIMO Relaying Networks With outbound Channel State Information" (Zhang T, Cai Y, Huang Y, et al. Secure Transmission in Cognitive MIMO Relaying Networks With outbound Channel State Information J. IEEE Access,2017,4:8212 8224.) studies the problem of the influence of feedback delay under the MIMO relay network in a non-ideal Channel State on the system performance, and this document considers the dual-hop Cognitive eavesdropping network, but only considers the legal link Channel non-ideal State of the secondary user Transmission link under the half-duplex technology, and in the full-duplex Cognitive eavesdropping network of relay node assisted Transmission under the non-ideal Channel State, the eavesdropping user can still simultaneously receive required Information from the secondary user transmitter and the secondary user relay node, thereby greatly improving the eavesdropping efficiency. In the prior art, a half-duplex technology is mostly adopted for a physical layer transmission method of a cognitive eavesdropping network in a non-ideal channel state, and a full-duplex situation is not considered. Meanwhile, although there are many physical layer transmission methods of a full-duplex cognitive eavesdropping network in the prior art, for example, chinese patent application No. 202010126630.9 discloses a physical layer secure transmission method of a full-duplex cognitive eavesdropping network, in the patent, an actual channel state is not considered, but an ideal channel state is adopted, and in an actual situation, the actual channel state is greatly different from the ideal channel state, so that if the method in the patent is directly applied to a non-ideal channel state, the method is seriously deviated from the actual state, and thus cannot be directly applied.
In summary, in the prior art, most physical layer transmission methods of the cognitive network in the non-ideal channel state are for half-and-half duplex conditions, and when physical transmission of the full-duplex cognitive eavesdropping network is performed, the ideal channel state is considered more, and if the prior art is directly applied to physical layer transmission of the full-duplex cognitive eavesdropping network in the non-ideal channel state, transmission performance of the physical layer will be reduced, which increases the risk of eavesdropping, so it is very necessary to study how to perform physical layer secure transmission of the full-duplex cognitive eavesdropping network in the non-ideal channel state.
Disclosure of Invention
The technical problem is as follows: the invention provides a full-duplex cognitive multi-input multi-output relay cooperation method in a non-ideal channel state, which can effectively improve the safety transmission performance of a physical layer and reduce the risk of eavesdropping.
The technical scheme is as follows: the invention discloses a full-duplex cognitive multi-input multi-output relay cooperation method under a non-ideal channel state, wherein a master user and an eavesdropping user are both provided with at least one antenna, and a secondary user transmitter is provided with NARoot antenna, secondary user relay node configuration NRRoot antenna, full duplex destination node configuration NBThe root antenna specifically comprises the following steps:
s1: initializing the transmitting power of a secondary user transmitter, and acquiring a channel estimation model in a first time slot non-ideal channel state;
s2: according to the acquired channel estimation model in the first time slot non-ideal channel state, the secondary user transmitter selects and configures an optimal antenna to send a signal to a secondary user relay node under the constraint condition of the interference temperature of a primary user, calculates the signal-to-noise ratio of the secondary user relay node, and simultaneously transmits a directional interference signal to an eavesdropping user by a full-duplex target node in a zero-forcing beamforming mode;
s3: initializing the transmitting power of a secondary user relay node, and acquiring a channel estimation model in a second time slot non-ideal channel state;
s4: according to the acquired channel estimation model in the non-ideal channel state of the second time slot, the secondary user relay node forwards data to the full-duplex destination node under the constraint condition of main user interference temperature, and any L in the full-duplex destination nodeBReceiving signal by root antenna and calculating any L in full-duplex destination nodeBSignal-to-noise ratio at the root antenna; remaining N of full duplex destination node at the same timeB-LBThe antenna transmits artificial interference to the eavesdropping user;
s5: an eavesdropping user eavesdrops a signal transmitted by a secondary user transmitter, simultaneously receives a zero forcing directional interference signal transmitted by a full-duplex destination node in a non-ideal channel state, and calculates the signal-to-interference-and-noise ratio of the eavesdropping user in the process;
s6: and the eavesdropping user eavesdrops the signal forwarded by the secondary user relay node, simultaneously receives the artificial interference signal forwarded by the full-duplex destination node, and calculates the signal-to-interference-and-noise ratio at the eavesdropping user position in the process.
Further, in step S1, the formula for obtaining the channel estimation model in the non-ideal channel state of the first timeslot is as follows:
Figure BDA0002610544730000031
wherein the content of the first and second substances,
Figure BDA0002610544730000032
representing the channel vector between the next user transmitter of the actual channel and the relay node of the secondary user;
Figure BDA0002610544730000033
representing a channel vector between a next user transmitter of the estimated channel and a relay node of the next user;
Figure BDA0002610544730000034
representing the channel estimation error vector at the secondary user relay node, eRRSubject to the rayleigh distribution,
Figure BDA0002610544730000035
the error is represented by the number of bits in the error,
Figure BDA0002610544730000036
represents NRAn order identity matrix; rho1To represent
Figure BDA0002610544730000037
And
Figure BDA0002610544730000038
where p is a time correlation coefficient of1＝J0(2πf1T1)，ρ1∈[0,1]，J0(. is a zero-order Bessel function of the first kind, f1And T1Respectively representing the maximum Doppler frequency shift and the link time delay from a secondary user transmitter to a secondary user relay node link; i represents a serial number.
Further, in step S2, the signal-to-noise ratio at the secondary user relay node is:
Figure BDA0002610544730000039
wherein, γARIndicating the signal-to-noise ratio, P, between the secondary user transmitter configuring the best antenna to the secondary user relay nodeSIs the transmit power of the secondary user transmitter,
Figure BDA00026105447300000310
relaying the additive white gaussian noise power at the node for the secondary user;
and under the constraint condition of the temperature of the main user, PSSatisfies the following conditions:
Figure BDA00026105447300000311
wherein Q is a predetermined interference temperature constraint threshold value at the primary user, PtThe maximum transmit power limit for the secondary user transmitter,
Figure BDA00026105447300000312
representing the channel vector between the transmitter of the next user and the primary user of the actual channel, with a obedient mean of 0 and a variance of lambdaAPComplex gaussian random variables of (a); k1Is a power back-off factor at the secondary user transmitter, and K1Satisfies the following conditions:
Figure BDA0002610544730000041
wherein the content of the first and second substances,
Figure BDA0002610544730000042
I0(. represents a zero-order Bessel function, Q)0(a, b) represents a generalized Marcum function, and a, b represent parameters of the generalized Marcum function; rho4To represent
Figure BDA0002610544730000043
And hAPA time correlation coefficient between, wherein hAPRepresenting the channel vector, p, between the transmitter of the next user of the estimated channel and the primary user4＝J0(2πf4T4)，ρ4∈[0,1]，J0(. represents a zeroth order Bessel function of the first kind, f4And T4Respectively representing the maximum Doppler frequency shift and the link time delay from a secondary user transmitter to a primary user link; p0Indicating a primary user interference outage probability threshold.
Further, in step S3, the formula of the channel estimation model obtained in the non-ideal channel state of the second timeslot is:
Figure BDA0002610544730000044
wherein the content of the first and second substances,
Figure BDA0002610544730000045
representing a channel vector between a next user relay node of an actual channel and a full-duplex destination node;
Figure BDA0002610544730000046
representing a channel vector between a next user relay node of an estimated channel and a full-duplex destination node;
Figure BDA0002610544730000047
representing the channel estimation error vector at the secondary user full duplex destination node, eRBSubject to the rayleigh distribution,
Figure BDA0002610544730000048
the error is represented by the number of bits in the error,
Figure BDA0002610544730000049
represents NBAn identity matrix of order; rho3To represent
Figure BDA00026105447300000410
And
Figure BDA00026105447300000411
a time correlation coefficient between p3＝J0(2πf3T3)，ρ3∈[0,1]，J0(. is a zero-order Bessel function of the first kind, f3And T3Dividing the maximum Doppler frequency shift and link time delay from a secondary user relay node to a full-duplex destination node link; j represents a serial number.
Further, in step S4, the signal-to-noise ratio at the full-duplex destination node is:
Figure BDA00026105447300000412
wherein, γRBRepresenting the signal-to-noise ratio, P, at a full-duplex destination nodeRRepresents the transmit power of the secondary user relay node,
Figure BDA00026105447300000413
representing an additive white gaussian noise power at a full-duplex destination node;
and under the constraint condition of the temperature of the main user, PRSatisfies the following conditions:
Figure BDA0002610544730000051
wherein Q is a predetermined interference temperature constraint threshold value at the primary user, PtThe maximum transmit power limit for the secondary user transmitter,
Figure BDA0002610544730000052
the channel vector between the relay node of the next user and the main user of the actual channel is represented, the obedient mean value is 0, and the variance is lambdaRPComplex gaussian random variables of (a); k2For power back-off at secondary user transmitterFactor, and K2Satisfies the following conditions:
Figure BDA0002610544730000053
wherein the content of the first and second substances,
Figure BDA0002610544730000054
I0(. is a zero order Bessel function, Q)0The (a, b) is a generalized Marcum function, and the a, b represent parameters of the generalized Marcum function; rho5To represent
Figure BDA0002610544730000055
And hRPA time correlation coefficient between, wherein hRPRepresenting the channel vector, rho, between the relay node of the next user and the primary user of the estimated channel5＝J0(2πf5T5)，ρ5∈[0,1]，J0(. represents a zeroth order Bessel function of the first kind, f5And T5Respectively representing the maximum Doppler frequency shift and the link time delay from the secondary user relay node to the primary user link; p0Indicating a primary user interference outage probability threshold.
Further, in the step S5, the signal to interference plus noise ratio γ at the eavesdropping user is interceptedAEComprises the following steps:
Figure BDA0002610544730000056
wherein, PSRepresents the transmission power of the secondary user transmitter and satisfies
Figure BDA0002610544730000057
PB1Transmit power for a full duplex destination node;
Figure BDA0002610544730000058
representing the power of additive white Gaussian noise at the eavesdropping user; h isAERepresenting the channel coefficients between the secondary user transmitter and the eavesdropping user;
Figure BDA0002610544730000059
representing a channel vector between a full-duplex target node and an eavesdropping user under an actual channel;
Figure BDA00026105447300000510
representing the precoding vector at the full-duplex destination node.
Further, the precoding vector
Figure BDA0002610544730000061
The following conditions are satisfied:
Figure BDA0002610544730000062
Figure BDA0002610544730000063
Figure BDA0002610544730000064
wherein the content of the first and second substances,
Figure BDA0002610544730000065
represents the conjugate transpose of the vector, | | · | | | represents the Frobenius norm,
Figure BDA0002610544730000066
is a number NB×(NRA channel matrix of dimension +1), i.e.
Figure BDA0002610544730000067
Wherein
Figure BDA0002610544730000068
N between node representing full duplex destination and secondary user relay node under actual channelB×NRThe channel matrix is then maintained in the dimension,
Figure BDA0002610544730000069
representing full duplex between a destination node and a primary user in an actual channelNBX 1-dimensional channel vector; then the precoding vector
Figure BDA00026105447300000610
Is composed of
Figure BDA00026105447300000611
Wherein the content of the first and second substances,
Figure BDA00026105447300000612
representing rank as NB-a matrix of 1, # denotes the transpose of the matrix, hBE1Representing a channel vector between a full-duplex target node under an estimated channel and an eavesdropping user;
and is
Figure BDA00026105447300000613
And hBE1Satisfies the following conditions:
Figure BDA00026105447300000614
wherein the content of the first and second substances,
Figure BDA00026105447300000615
representing a channel vector between a node representing full duplex under an actual channel and an eavesdropping user;
Figure BDA00026105447300000616
representing the channel estimation error vector at the eavesdropped user, eBESubject to the rayleigh distribution,
Figure BDA00026105447300000617
in order to be an error, the error is,
Figure BDA00026105447300000618
is NBUnit vector of order, ρ2To represent
Figure BDA00026105447300000619
And hBE1A time correlation coefficient therebetween, and ρ2＝J0(2πf2T2)，ρ2∈[0,1]，J0(. is a zero-order Bessel function of the first kind, f2And T2The maximum Doppler frequency shift and the link time delay from the full-duplex destination node to the eavesdropping user link are divided.
Further, in the step S6, the signal to interference plus noise ratio γ at the eavesdropping user is interceptedREComprises the following steps:
Figure BDA00026105447300000620
wherein, PRRelaying the transmission power of the node for the secondary user, and PRSatisfy the requirement of
Figure BDA00026105447300000621
hRERelaying a channel vector between a node and an eavesdropping user for a secondary user; h isBE2Estimating a channel vector between a full-duplex destination node and a wiretap user under a channel; pB2Transmit power for a full duplex destination receiver to transmit artificial interference to the relay;
Figure BDA0002610544730000071
to eavesdrop on the additive white gaussian noise power at the user.
Further, the method also comprises utilizing the safe interruption probability PoutEvaluating the transmission performance, the probability of safe interruption PoutComprises the following steps:
Pout(Rs)＝1-Pr{CS,1＞Rs}Pr{CS,2＞Rs}
wherein R issSetting a safety rate threshold value for the system, CS,1And CS,2The instantaneous safety capacity of the first time slot and the second time slot respectively.
Has the advantages that: compared with the prior art, the invention has the following advantages:
(1) in the invention, the secondary user transmitter considers the interference temperature threshold preset by the primary user in the non-ideal channel state in the first time slot, and then selects the optimal antenna to send data to the secondary user relay nodeThe secondary user relay node receives data by all antennas, and the full-duplex destination node transmits a directional interference signal to the eavesdropping user by adopting a beam forming mode after receiving the feedback delay information of the eavesdropping user; then, the relay node of the secondary user also considers the interference temperature threshold value preset by the primary user in the non-ideal channel state of the second time slot, then all the antennas are adopted to forward data to the full-duplex destination node, and the full-duplex destination node randomly selects LBThe root antenna receives data, and the rest antennas transmit interference signals to the eavesdropping user in an artificial interference mode; the method of the invention considers that under the non-ideal channel state, the full-duplex destination node transmits directional interference signals to the eavesdropping user in two time slots, and the eavesdropping of the eavesdropping user is blocked by the full-duplex destination node in the two time slots, and the signal to interference plus noise ratio of the eavesdropping user in the two time slots is reduced by increasing the interference signals, thereby effectively improving the physical layer safety transmission performance of the full-duplex cognitive eavesdropping network under the non-ideal channel state and reducing the eavesdropping risk of the whole network system.
(2) The full-duplex destination node of the invention respectively adopts zero-forcing beam forming and artificial interference methods to send directional interference signals to eavesdropping users. When the beam forming design is used for aligning the eavesdropping user, the directions of the relay nodes of the primary user and the secondary user are arranged in the null space of the interference signal, so that the communication service quality of the primary user and the receiving signal quality of the relay nodes of the secondary user are ensured. And moreover, the directional interference signals are sent to the eavesdropping user by utilizing the idle antenna while the multi-antenna diversity gain is maximized, and the advantages of the multi-antenna are fully utilized, so that the communication quality of the whole network can be ensured, the safety transmission performance of a physical layer is improved, and the eavesdropping risk of the whole system is reduced.
Drawings
FIG. 1 is a schematic diagram of a system model of a full-duplex cognitive eavesdropping network in a non-ideal channel state according to the present invention;
FIG. 2 is a graph comparing the system safety interruption performance based on different physical layer safety transmission methods under a non-ideal channel state;
FIG. 3 is a graph of the number of antennas N associated with a full duplex destination node when the method of the present invention is employedBA graph of the change in the probability of a safing outage at the time of the change.
Detailed Description
The invention is further described with reference to the following examples and the accompanying drawings.
The system model aimed by the full-duplex cognitive multi-input multi-output Relay cooperation method in the non-ideal channel state is a full-duplex cognitive eavesdropping system in a full-duplex working mode of a secondary user destination node, as shown in figure 1, the system comprises a secondary user transmitter (Alice), a secondary user Relay node (Relay), a full-duplex destination node (Bob), an eavesdropping user (Eve) and a Primary User (PU), wherein the secondary user transmitter (Alice) is configured with NA(NAMore than 1) antenna, secondary user Relay node (Relay) configuration NR(NR> 1) root antenna, full duplex destination node (Bob) configuration NB(NBMore than 1) antenna, at least one antenna is configured for both the eavesdropping user (Eve) and the Primary User (PU), and in the embodiment of the invention, one antenna is configured for both the eavesdropping user (Eve) and the Primary User (PU).
In the implementation process, links from a secondary user transmitter (Alice) to a secondary user Relay node (Relay), links from the secondary user Relay node (Relay) to a full-duplex destination node (Bob), and zero-forcing precoding at the full-duplex destination node (Bob) are all non-ideal channels for links of an eavesdropping user (Eve) transmitting directional interference signals.
Based on the system model, the full-duplex cognitive multi-input multi-output relay cooperation method under the non-ideal channel state comprises the following steps:
s1: initializing the transmitting power of a secondary user transmitter, and acquiring a channel estimation model in the non-ideal channel state of the first time slot.
Because the channel state information is fed back under the influence of non-ideal factors, the secondary user transmitter cannot obtain the perfect channel state information of the secondary user relay node, and therefore, in an actual physical scene, a channel estimation model is inconsistent between a non-ideal channel state and an ideal channel state. In an embodiment of the invention, a secondary user transmitter sends a broadcast pilot signal to a secondary user relay node, which receives the pilot signal in a maximal ratio combining manner.
Specifically, in the embodiment of the present invention, the formula for obtaining the channel estimation model in the non-ideal channel state of the first time slot is as follows:
Figure BDA0002610544730000081
wherein the content of the first and second substances,
Figure BDA0002610544730000082
representing the channel vector between the next user transmitter of the actual channel and the relay node of the secondary user;
Figure BDA0002610544730000083
representing a channel vector between a next user transmitter of the estimated channel and a relay node of the next user;
Figure BDA0002610544730000084
representing the channel estimation error vector at the secondary user relay node, eRRSubject to the rayleigh distribution,
Figure BDA0002610544730000091
the error is represented by the number of bits in the error,
Figure BDA0002610544730000092
represents NRAn order identity matrix; rho1To represent
Figure BDA0002610544730000093
And
Figure BDA0002610544730000094
where p is a time correlation coefficient of1＝J0(2πf1T1)，ρ1∈[0,1]，J0(. is a zero-order Bessel function of the first kind, f1And T1Respectively representing the maximum Doppler frequency shift and the link time delay from a secondary user transmitter to a secondary user relay node link; i represents a serial number.
It is explained that the secondary user transmitter in the first time slot selects and configures the best antenna to transmit signals to the secondary user relay node under the constraint condition of the interference temperature of the primary user, and simultaneously the full-duplex destination node transmits directional interference signals to the eavesdropping user by adopting a zero forcing beamforming mode.
S2: according to the obtained channel estimation model in the first time slot non-ideal channel state, the secondary user transmitter selects and configures the optimal antenna to transmit signals to the secondary user relay node under the constraint condition of the interference temperature of the primary user, calculates the signal-to-noise ratio at the secondary user relay node, and simultaneously, the full-duplex target node transmits directional interference signals to the eavesdropping user in a zero-forcing beamforming mode.
Specifically, the instantaneous signal-to-noise ratio from the ith antenna of the secondary user transmitter to the relay node of the secondary user under the non-ideal channel state
Figure BDA0002610544730000095
Comprises the following steps:
Figure BDA0002610544730000096
in the formula (2), PSWhich represents the transmit power of the secondary user transmitter, wherein in an embodiment of the present invention,
Figure BDA0002610544730000097
mean value of
Figure BDA0002610544730000098
λARFor the given constant, the number of the first,
Figure BDA0002610544730000099
the additive white gaussian noise power at the node is relayed for the secondary user. To ensure the quality of communication service for primary users, PSSatisfies the following conditions:
Figure BDA00026105447300000910
in the formula (3), the first and second groups,
Figure BDA00026105447300000911
representing a channel vector from a transmitter of a next user to a main user of an actual channel; h isAPRepresenting the channel vector between the next user transmitter and the main user of the estimated channel;
Figure BDA00026105447300000912
and hAPAre subject to mean of 0 and variance of λAPComplex gaussian random variables. Q denotes a predetermined interference temperature constraint threshold at the primary user, PtFor maximum transmit power limitation of the secondary user transmitter, K1Representing the power back-off factor at the secondary user transmitter. Wherein the power back-off factor K is at the secondary user transmitter1The following equation is satisfied:
Figure BDA0002610544730000101
in the formula (4), the first and second groups,
Figure BDA0002610544730000102
I0(. represents a zero-order Bessel function, Q)0(a, b) represents a generalized Marcum function, and a, b represent parameters of the generalized Marcum function; rho4To represent
Figure BDA0002610544730000103
And hAPA time correlation coefficient between, wherein hAPRepresenting the channel vector, p, between the transmitter of the next user of the estimated channel and the primary user4＝J0(2πf4T4)，ρ4∈[0,1]，J0(. represents a zeroth order Bessel function of the first kind, f4And T4Respectively representing the maximum Doppler frequency shift and the link time delay from a secondary user transmitter to a primary user link; p0Indicating a primary user interference outage probability threshold.
Thus, configuring the best antenna to the instantaneous signal-to-noise ratio γ at the secondary user relay node at the secondary user transmitterARComprises the following steps:
Figure BDA0002610544730000104
in addition, in the step, the full-duplex destination node transmits a directional interference signal to the eavesdropping user by adopting a zero-forcing beamforming mode, so that the eavesdropping of the eavesdropping user is blocked, the physical layer safety transmission performance of the full-duplex cognitive eavesdropping network in a non-ideal channel state is effectively improved, and the eavesdropping risk of the whole network system is reduced.
S3: initializing the transmitting power of the secondary user relay node, and acquiring a channel estimation model in the non-ideal channel state of the second time slot.
In the embodiment of the invention, the secondary user relay node forwards the pilot signal to the full-duplex destination node in a maximum ratio sending mode, and the secondary user relay node cannot obtain the perfect channel state information of the full-duplex destination node due to the influence of undesirable factors fed back by the channel state information; specifically, in the embodiment of the present invention, the formula for obtaining the channel estimation model in the non-ideal channel state of the second timeslot is as follows:
Figure BDA0002610544730000105
wherein the content of the first and second substances,
Figure BDA0002610544730000106
representing a channel vector between a next user relay node of an actual channel and a full-duplex destination node;
Figure BDA0002610544730000107
representing a channel vector between a next user relay node of an estimated channel and a full-duplex destination node;
Figure BDA0002610544730000108
representing the channel estimation error vector at the secondary user full duplex destination node, eRBSubject to the rayleigh distribution,
Figure BDA0002610544730000111
the error is represented by the number of bits in the error,
Figure BDA0002610544730000112
represents NBAn identity matrix of order; rho3To represent
Figure BDA0002610544730000113
And
Figure BDA0002610544730000114
a time correlation coefficient between p3＝J0(2πf3T3)，ρ3∈[0,1]，J0(. is a zero-order Bessel function of the first kind, f3And T3Dividing the maximum Doppler frequency shift and link time delay from a secondary user relay node to a full-duplex destination node link; j represents a serial number.
When the master user interference temperature constraint condition is met, the secondary user relay node forwards data to the full-duplex destination node in the first time slot, and any L in the full-duplex destination node is zeroBThe root antenna receives the signal while the full duplex destination node remains NB-LBThe antenna transmits the jamming to the eavesdropping user.
S4: according to the acquired channel estimation model in the non-ideal channel state of the second time slot, the secondary user relay node forwards data to the full-duplex destination node under the constraint condition of the interference temperature of the primary user, and any L in the full-duplex destination nodeBReceiving signal by root antenna and calculating any L in full-duplex destination nodeBSignal-to-noise ratio at the root antenna; remaining N of full duplex destination node at the same timeB-LBThe antenna transmits the jamming to the eavesdropping user.
Signal-to-noise ratio of j antenna at secondary user full-duplex destination node under non-ideal channel state
Figure BDA0002610544730000115
Comprises the following steps:
Figure BDA0002610544730000116
in the formula (7), PRTransmitting power of relay node for secondary userThe ratio of the total weight of the particles,
Figure BDA0002610544730000117
is the additive white gaussian noise power at the full-duplex destination node. Wherein in an embodiment of the present invention,
Figure BDA0002610544730000118
mean value of
Figure BDA0002610544730000119
λRBFor a given constant, and in order to guarantee the quality of service of the communication for the primary user, PRSatisfies the following conditions:
Figure BDA00026105447300001110
in the formula (8), the first and second groups,
Figure BDA00026105447300001111
representing a channel vector between a relay node of a next user and a master user of an actual channel; h isRPRepresenting the channel vector between the relay node of the next user and the master user of the estimated channel;
Figure BDA00026105447300001112
and hRPAre subject to mean of 0 and variance of λRPComplex gaussian random variables. Q is a predetermined interference temperature constraint threshold, P, at the primary usertThe maximum transmit power limit of the relay node for the secondary user. K2As a power back-off factor, K at the secondary user relay node2The following equation should be satisfied:
Figure BDA0002610544730000121
in the formula (9), the reaction mixture,
Figure BDA0002610544730000122
I0(. is a zero order Bessel function, Q)0(a, b) is a generalized Marcum function, and a, b represent generalized MarcParameters of the um function; rho5To represent
Figure BDA0002610544730000123
And hRPA time correlation coefficient between, wherein hRPRepresenting the channel vector, rho, between the relay node of the next user and the primary user of the estimated channel5＝J0(2πf5T5)，ρ5∈[0,1]，J0(. represents a zeroth order Bessel function of the first kind, f5And T5Respectively representing the maximum Doppler frequency shift and the link time delay from the secondary user relay node to the primary user link; p0Indicating a primary user interference outage probability threshold.
Any L from secondary user relay node to full-duplex destination node under non-ideal channel stateBInstantaneous signal-to-noise ratio gamma at root antennaRBComprises the following steps:
Figure BDA0002610544730000124
in this step, the remaining N of the full-duplex destination nodeB-LBThe antenna transmits artificial interference to the eavesdropping user, so that the eavesdropping of the eavesdropping user is further blocked, the physical layer safety transmission performance of the full-duplex cognitive eavesdropping network in a non-ideal channel state is improved, and the eavesdropping risk of the whole network system is reduced.
S5: an eavesdropping user eavesdrops a signal transmitted by a secondary user transmitter, simultaneously receives a zero forcing directional interference signal transmitted by a full-duplex destination node in a non-ideal channel state, and calculates the signal-to-interference-and-noise ratio of the eavesdropping user in the process;
in the process, the signal-to-interference-and-noise ratio gamma of the eavesdropping user under the non-ideal channel stateAERespectively as follows:
Figure BDA0002610544730000125
in formula (11), PSRepresents the transmission power of the secondary user transmitter and satisfies
Figure BDA0002610544730000126
PB1Representing the transmit power of a full-duplex destination node;
Figure BDA0002610544730000127
representing the channel vector between the full-duplex target node and the eavesdropping user under the actual channel, wherein the vector dimension is NB×1；hBE1Representing the channel vector between a full-duplex destination node and an eavesdropping user under an estimated channel, wherein the vector dimension is NB×1；
Figure BDA0002610544730000131
Is the additive white gaussian noise power at the eavesdropping user. h isAERepresenting a channel vector between a secondary user transmitter and an eavesdropping user;
Figure BDA0002610544730000132
representing the precoding vector at the full-duplex destination node.
Wherein the precoding vector
Figure BDA0002610544730000133
The following conditions are satisfied:
Figure BDA0002610544730000134
Figure BDA0002610544730000135
Figure BDA0002610544730000136
in the formula (12), the first and second groups,
Figure BDA0002610544730000137
represents the conjugate transpose of the vector, | | · | | | represents the Frobenius norm,
Figure BDA0002610544730000138
is a number NB×(NRA channel matrix of dimension +1), i.e.
Figure BDA0002610544730000139
Wherein
Figure BDA00026105447300001310
N between node representing full duplex destination and secondary user relay node under actual channelB×NRThe channel matrix is then maintained in the dimension,
Figure BDA00026105447300001311
representing N between a full-duplex destination node and a primary user under an actual channelBX 1-dimensional channel vector; then the precoding vector
Figure BDA00026105447300001312
Comprises the following steps:
Figure BDA00026105447300001313
in the formula (13), the first and second groups,
Figure BDA00026105447300001314
representing rank as NB-a matrix of 1, # denotes the transpose of the matrix, hBE1Representing the channel vector between the full-duplex destination node under the estimated channel and the eavesdropping user. The idempotent matrix can also be used when calculating the SINR at eavesdropping users
Figure BDA00026105447300001315
Or
Figure BDA00026105447300001316
To calculate.
For channel vector between full-duplex destination node and eavesdropping user
Figure BDA00026105447300001317
And hBE1In non-ideal channel conditions
Figure BDA00026105447300001318
And hBE1The following relationship is satisfied:
Figure BDA00026105447300001319
in the formula (14), the reaction mixture,
Figure BDA00026105447300001320
representing the channel estimation error vector, p, at the eavesdropping user2To represent
Figure BDA00026105447300001321
And hBE1A time correlation coefficient therebetween, and ρ2＝J0(2πf2T2)，ρ2∈[0,1]，J0(. is a zero-order Bessel function of the first kind, f2And T2The maximum Doppler frequency shift and the link time delay from the full-duplex destination node to the eavesdropping user link are divided.
S6: and the eavesdropping user eavesdrops the signal forwarded by the secondary user relay node, simultaneously receives the artificial interference signal forwarded by the full-duplex destination node, and calculates the signal-to-interference-and-noise ratio of the eavesdropping user in the process.
The signal-to-interference-and-noise ratio gamma of the eavesdropping user under the non-ideal channel state at the stageREComprises the following steps:
Figure BDA0002610544730000141
in the formula (15), PRRelaying the transmission power of the node for the secondary user, and PRSatisfy the requirement of
Figure BDA0002610544730000142
hRERelaying a channel vector between a node and an eavesdropping user for a secondary user; h isBE2Estimating a channel vector between a full-duplex destination node and a wiretap user under a channel; pB2Transmit power for a full duplex destination receiver to transmit artificial interference to the relay;
Figure BDA0002610544730000143
to eavesdrop on the additive white gaussian noise power at the user.
In order to verify the full-duplex cognitive multi-input multi-output relay cooperation method in the non-ideal channel state, in the embodiment of the invention, the secondary user relay node forwards signals by adopting a random decoding forwarding protocol and calculates the safe interruption probability P of the full-duplex cognitive eavesdropping network in the non-ideal channel stateoutFor evaluating the safe transmission performance of the physical layer, the following formula is adopted to calculate the safe interruption probability Pout：
Pout(Rs)＝1-Pr{CS,1＞Rs}Pr{CS,2＞Rs} (16)
In the formula (16), RsSetting a safety rate threshold value for the system, CS,1And CS,2The instantaneous safety capacities of the first time slot and the second time slot are as follows:
Figure BDA0002610544730000144
Figure BDA0002610544730000145
for full-duplex cognitive wiretap network in non-ideal channel state, the safety interruption probability PoutThe larger the value of (A), the worse the safety transmission performance of the physical layer is, the higher the risk of the network system being intercepted is, otherwise, the safety interruption probability PoutThe smaller the value of (A), the better the physical layer security transmission performance is, and the lower the risk of the network system being intercepted is.
In order to verify that the method of the present invention has a better effect compared with the prior art, the method in the non-ideal channel state in the prior art is compared with the method of the present invention for verification, and the following steps are specifically performed:
(1) in the document "Secure Transmission in coherent MIMO Relay Networks with non-ideal Channel State Information", a MIMO relay network Transmission method (TAS-MRC/TAS-MRC) in a half-duplex mode is disclosed.
(2) The method under the non-ideal channel state of the invention comprises the following steps: a cognitive multiple-input multiple-output relay cooperation method (MIMO-UCR-OCSI) under a non-ideal channel state.
In addition, in order to highlight the advantages of the method of the present invention and to better fit the actual physical scenario, it is necessary to perform a comparative analysis on the non-ideal channel state and the ideal channel state by using the method of the present invention. Because the channel state is affected by the dynamic mobility of the node or the feedback delay and other factors in the actual physical scene, the ideal channel state cannot be reached, and the channel state information is difficult to accurately acquire, the non-ideal channel state is inferior to the ideal channel state environment in the aspect of system performance improvement.
Setting a security rate threshold R in a full-duplex cognitive interception system in a non-ideal channel statesThe variance of the noise at each node in the system is assumed to be 2
Figure BDA0002610544730000151
The system signal-to-noise ratio is SNR, and (N) is assumedA,NR,NB)＝(2,4,5)，LB＝2，ρ1＝ρ2＝ρ3＝0.5，ρ4＝ρ5＝1，PB1＝5dB，PB22dB and Q20 dB, graphs of the outage probability for both methods are obtained, as shown in fig. 2. Fig. 2 shows that, based on the cognitive multiple-input multiple-output relay cooperation method (MIMO-UCR-OCSI) in the non-ideal channel state of the present invention, that is, the method (2), at each numerical point, the safety interruption probability PoutThe values of (A) are all smaller than those of the method (1), which shows that the safe transmission performance of the physical layer of the system is obviously superior to that of the method (1) by adopting the method of the invention. In addition, the system performance of the method (2) of the invention is obviously worse than that under an ideal channel state (rho)1＝ρ2＝ρ31), because the actual physical scene is affected by feedback delay, mobility of the node and other factors, the ideal channel state is difficult to reach, and therefore, considering the safe transmission under the non-ideal channel state is more practical. This is due toBased on the cognitive multi-input multi-output relay cooperation method under the non-ideal channel state, the full-duplex destination node can send directional interference signals to the eavesdropping user in two time slots. In the first time slot, the problem of cooperative zero-forcing beam forming when channel state information is outdated is considered between a full-duplex target node and an eavesdropping user, a zero-forcing beam forming scheme mainly sends directional interference to the eavesdropping user and simultaneously prevents unnecessary interference to a relay node and a main user node, so that the interference signal is in a null space, the communication service quality of the relay of the main user and a secondary user is ensured, and data information sent by a cooperative relay is received at the full-duplex target node in a random selection combining mode, so that the safety performance of the system is improved.
When the method is simulated, the number N of antennas configured by the method along with a full-duplex destination node under the condition of Rayleigh fading channel is givenBThe graph of the change of the safe interruption probability curve of the system during the change is shown in FIG. 3, and the horizontal axis represents the number N of the antennas configured on the full-duplex destination nodeBAnd the vertical axis represents the safety interruption probability of the system. The simulation assumes that: rs＝2，(NA,NR,LB)＝(2,4,2)，ρ1＝ρ2＝ρ3＝0.5，ρ4＝ρ5＝1，PB1＝5dB，PB22dB, Q20 dB, SNR 3dB, 6dB and 10dB respectively, it can be seen from FIG. 3 that based on the cognitive multiple input multiple output relay cooperation method (MIMO-UCR-OCSI) under the ideal channel state designed by the present invention, the safety interruption performance of the system when SNR is fixed follows the number N of full-duplex destination node antennasBIs improved by an increase in; in NBWhen fixed, the system outage probability decreases with increasing SNR.
In summary, the cognitive multi-input multi-output relay cooperation method in the non-ideal channel state can effectively improve the physical layer security transmission performance of the full-duplex cognitive eavesdropping network in the non-ideal channel state and reduce the eavesdropping risk of the whole network system.
The above examples are only preferred embodiments of the present invention, it should be noted that: it will be apparent to those skilled in the art that various modifications and equivalents can be made without departing from the spirit of the invention, and it is intended that all such modifications and equivalents fall within the scope of the invention as defined in the claims.

Claims (9)

1. The full-duplex cognitive multi-input multi-output relay cooperation method under the non-ideal channel state is characterized in that a master user and an eavesdropping user are both provided with at least one antenna, and a secondary user transmitter is provided with NARoot antenna, secondary user relay node configuration NRRoot antenna, full duplex destination node configuration NBThe root antenna specifically comprises the following steps:
s1: initializing the transmitting power of a secondary user transmitter, and acquiring a channel estimation model in a first time slot non-ideal channel state;
s2: according to the acquired channel estimation model in the first time slot non-ideal channel state, the secondary user transmitter selects and configures an optimal antenna to send a signal to a secondary user relay node under the constraint condition of the interference temperature of a primary user, calculates the signal-to-noise ratio of the secondary user relay node, and simultaneously transmits a directional interference signal to an eavesdropping user by a full-duplex target node in a zero-forcing beamforming mode;
s3: initializing the transmitting power of a secondary user relay node, and acquiring a channel estimation model in a second time slot non-ideal channel state;
s4: according to the acquired channel estimation model in the non-ideal channel state of the second time slot, the secondary user relay node forwards data to the full-duplex destination node under the constraint condition of main user interference temperature, and any L in the full-duplex destination nodeBReceiving signal by root antenna and calculating any L in full-duplex destination nodeBSignal-to-noise ratio at the root antenna; remaining N of full duplex destination node at the same timeB-LBThe antenna transmits artificial interference to the eavesdropping user;
s5: an eavesdropping user eavesdrops a signal transmitted by a secondary user transmitter, simultaneously receives a zero forcing directional interference signal transmitted by a full-duplex destination node in a non-ideal channel state, and calculates the signal-to-interference-and-noise ratio of the eavesdropping user in the process;
s6: and the eavesdropping user eavesdrops the signal forwarded by the secondary user relay node, simultaneously receives the artificial interference signal forwarded by the full-duplex destination node, and calculates the signal-to-interference-and-noise ratio at the eavesdropping user position in the process.
2. The full-duplex cognitive mimo relay cooperation method according to claim 1, wherein in step S1, the formula for obtaining the channel estimation model in the first time slot non-ideal channel state is:
Figure FDA0002610544720000011
wherein the content of the first and second substances,
Figure FDA0002610544720000012
representing the channel vector between the next user transmitter of the actual channel and the relay node of the secondary user;
Figure FDA0002610544720000013
representing a channel vector between a next user transmitter of the estimated channel and a relay node of the next user;
Figure FDA0002610544720000014
representing the channel estimation error vector at the secondary user relay node, eRRSubject to the rayleigh distribution,
Figure FDA0002610544720000015
the error is represented by the number of bits in the error,
Figure FDA0002610544720000016
represents NRAn order identity matrix; rho1To represent
Figure FDA0002610544720000021
And
Figure FDA0002610544720000022
where p is a time correlation coefficient of1＝J0(2πf1T1)，ρ1∈[0,1]，J0(. is a zero-order Bessel function of the first kind, f1And T1Respectively representing the maximum Doppler frequency shift and the link time delay from a secondary user transmitter to a secondary user relay node link; i represents a serial number.
3. The full-duplex cognitive mimo-relay cooperation method according to claim 2, wherein in the step S2, the snr at the secondary user relay node is:
Figure FDA0002610544720000023
wherein, γARIndicating the signal-to-noise ratio, P, between the secondary user transmitter configuring the best antenna to the secondary user relay nodeSIs the transmit power of the secondary user transmitter,
Figure FDA0002610544720000024
relaying the additive white gaussian noise power at the node for the secondary user;
and under the constraint condition of the temperature of the main user, PSSatisfies the following conditions:
Figure FDA0002610544720000025
wherein Q is a predetermined interference temperature constraint threshold value at the primary user, PtMaximum transmit power limit for the secondary user transmitter;
Figure FDA0002610544720000026
representing the channel vector between the transmitter of the next user and the primary user of the actual channel, with a obedient mean of 0 and a variance of lambdaAPComplex gaussian random variables of (a); k1Is a power back-off factor at the secondary user transmitter, and K1Satisfies the following conditions:
Figure FDA0002610544720000027
wherein the content of the first and second substances,
Figure FDA0002610544720000028
I0(. represents a zero-order Bessel function, Q)0(a, b) represents a generalized Marcum function, and a, b represent parameters of the generalized Marcum function; rho4To represent
Figure FDA0002610544720000029
And hAPA time correlation coefficient between, wherein hAPRepresenting the channel vector, p, between the transmitter of the next user of the estimated channel and the primary user4＝J0(2πf4T4)，ρ4∈[0,1]，J0(. represents a zeroth order Bessel function of the first kind, f4And T4Respectively representing the maximum Doppler frequency shift and the link time delay from a secondary user transmitter to a primary user link; p0Indicating a primary user interference outage probability threshold.
4. The full-duplex cognitive mimo relay cooperation method according to claim 1, wherein in step S3, the formula of the channel estimation model obtained in the non-ideal channel state of the second timeslot is:
Figure FDA0002610544720000031
wherein the content of the first and second substances,
Figure FDA0002610544720000032
representing a channel vector between a next user relay node of an actual channel and a full-duplex destination node;
Figure FDA0002610544720000033
indicating the next user of the estimated channelChannel vectors between the relay node and the full-duplex destination node;
Figure FDA0002610544720000034
representing the channel estimation error vector at the secondary user full duplex destination node, eRBSubject to the rayleigh distribution,
Figure FDA0002610544720000035
the error is represented by the number of bits in the error,
Figure FDA0002610544720000036
represents NBAn identity matrix of order; rho3To represent
Figure FDA0002610544720000037
And
Figure FDA0002610544720000038
a time correlation coefficient between p3＝J0(2πf3T3)，ρ3∈[0,1]，J0(. is a zero-order Bessel function of the first kind, f3And T3Dividing the maximum Doppler frequency shift and link time delay from a secondary user relay node to a full-duplex destination node link; j represents a serial number.
5. The full-duplex cognitive mimo-relay cooperation method according to claim 4, wherein in the step S4, the SNR at the full-duplex destination node is:
Figure FDA0002610544720000039
wherein, γRBRepresenting the signal-to-noise ratio, P, at a full-duplex destination nodeRRepresents the transmit power of the secondary user relay node,
Figure FDA00026105447200000310
representing full duplex meshAn additive white gaussian noise power at the node of (a);
and under the constraint condition of the temperature of the main user, PRSatisfies the following conditions:
Figure FDA00026105447200000311
wherein Q is a predetermined interference temperature constraint threshold value at the primary user, PtMaximum transmit power limit for the secondary user transmitter;
Figure FDA00026105447200000312
the channel vector between the relay node of the next user and the main user of the actual channel is represented, the obedient mean value is 0, and the variance is lambdaRPComplex gaussian random variables of (a); k2Is a power back-off factor at the secondary user transmitter, and K2Satisfies the following conditions:
Figure FDA0002610544720000041
wherein the content of the first and second substances,
Figure FDA0002610544720000042
I0(. is a zero order Bessel function, Q)0The (a, b) is a generalized Marcum function, and the a, b represent parameters of the generalized Marcum function; rho5To represent
Figure FDA0002610544720000043
And hRPA time correlation coefficient between, wherein hRPRepresenting the channel vector, rho, between the relay node of the next user and the primary user of the estimated channel5＝J0(2πf5T5)，ρ5∈[0,1]，J0(. represents a zeroth order Bessel function of the first kind, f5And T5Respectively representing the maximum Doppler frequency shift and the link time delay from the secondary user relay node to the primary user link; p0Indicating a primary user interference outage probability threshold.
6. The full-duplex cognitive mimo-relay cooperation method according to claim 1, wherein in the step S5, the signal-to-interference-and-noise ratio γ of the eavesdropping user is determinedAEComprises the following steps:
Figure FDA0002610544720000044
wherein, PSRepresents the transmission power of the secondary user transmitter and satisfies
Figure FDA0002610544720000045
PB1Transmit power for a full duplex destination node;
Figure FDA0002610544720000046
representing the power of additive white Gaussian noise at the eavesdropping user; h isAERepresenting the channel coefficients between the secondary user transmitter and the eavesdropping user;
Figure FDA0002610544720000047
representing a channel vector between a full-duplex target node and an eavesdropping user under an actual channel;
Figure FDA0002610544720000048
representing the precoding vector at the full-duplex destination node.
7. The full-duplex cognitive multi-input multi-output relay cooperation method in the non-ideal channel state as claimed in claim 6, wherein the precoding vector is
Figure FDA0002610544720000049
The following conditions are satisfied:
Figure FDA00026105447200000410
Figure FDA00026105447200000411
Figure FDA00026105447200000412
wherein the content of the first and second substances,
Figure FDA00026105447200000413
represents the conjugate transpose of the vector, | | · | | | represents the Frobenius norm,
Figure FDA00026105447200000414
is a number NB×(NRA channel matrix of dimension +1), i.e.
Figure FDA0002610544720000051
Wherein
Figure FDA0002610544720000052
N between node representing full duplex destination and secondary user relay node under actual channelB×NRThe channel matrix is then maintained in the dimension,
Figure FDA0002610544720000053
representing N between a full-duplex destination node and a primary user under an actual channelBX 1-dimensional channel vector; then the precoding vector
Figure FDA0002610544720000054
Is composed of
Figure FDA0002610544720000055
Wherein the content of the first and second substances,
Figure FDA0002610544720000056
representing rank as NB-a matrix of 1, # denotes the transpose of the matrix, hBE1Node and method for representing full duplex under estimated channelIntercepting channel vectors among users;
and is
Figure FDA0002610544720000057
And hBE1Satisfies the following conditions:
Figure FDA0002610544720000058
wherein the content of the first and second substances,
Figure FDA0002610544720000059
representing a channel vector between a node representing full duplex under an actual channel and an eavesdropping user;
Figure FDA00026105447200000510
representing the channel estimation error vector at the eavesdropped user, eBESubject to the rayleigh distribution,
Figure FDA00026105447200000511
in order to be an error, the error is,
Figure FDA00026105447200000512
is NBUnit vector of order, ρ2To represent
Figure FDA00026105447200000513
And hBE1A time correlation coefficient therebetween, and ρ2＝J0(2πf2T2)，ρ2∈[0,1]，J0(. is a zero-order Bessel function of the first kind, f2And T2The maximum Doppler frequency shift and the link time delay from the full-duplex destination node to the eavesdropping user link are divided.
8. The full-duplex cognitive mimo-relay cooperation method according to claim 1, wherein in the step S6, the signal-to-interference-and-noise ratio γ of the eavesdropping user is determinedREComprises the following steps:
Figure FDA00026105447200000514
wherein, PRRelaying the transmission power of the node for the secondary user, and PRSatisfy the requirement of
Figure FDA00026105447200000515
hRERelaying a channel vector between a node and an eavesdropping user for a secondary user; h isBE2Estimating a channel vector between a full-duplex destination node and a wiretap user under a channel; pB2Transmit power for a full duplex destination receiver to transmit artificial interference to the relay;
Figure FDA00026105447200000516
to eavesdrop on the additive white gaussian noise power at the user.
9. The full-duplex cognizant multiple-input multiple-output relay cooperation method in the non-ideal channel state according to any one of claims 1 to 8, further comprising utilizing a safety outage probability PoutEvaluating the transmission performance, the probability of safe interruption PoutComprises the following steps:
Pout(Rs)＝1-Pr{CS,1＞Rs}Pr{CS,2＞Rs}
wherein R issSetting a safety rate threshold value for the system, CS,1And CS,2The instantaneous safety capacity of the first time slot and the second time slot respectively.
CN202010752693.5A 2020-07-30 2020-07-30 Full-duplex cognitive multi-input multi-output relay cooperation method under non-ideal channel state Pending CN111800217A (en)

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CN110519756A (en) * 2019-08-09 2019-11-29 中国人民解放军国防科技大学 Physical layer safety transmission method of full duplex relay network
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