CN114337762A - RIS auxiliary cognitive radio wireless safety communication transmission method utilizing partial CSI - Google Patents

RIS auxiliary cognitive radio wireless safety communication transmission method utilizing partial CSI Download PDF

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CN114337762A
CN114337762A CN202111622556.0A CN202111622556A CN114337762A CN 114337762 A CN114337762 A CN 114337762A CN 202111622556 A CN202111622556 A CN 202111622556A CN 114337762 A CN114337762 A CN 114337762A
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ris
matrix
partial csi
cognitive radio
reflection coefficient
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张军
许文婉
张琦
蔡曙
王海荣
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Nanjing University of Posts and Telecommunications
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Nanjing University of Posts and Telecommunications
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Abstract

The invention provides an RIS auxiliary cognitive radio wireless safety communication transmission method utilizing partial CSI, in an RIS auxiliary large-scale multi-input multi-output cognitive radio wireless safety communication system, in order to enable a secondary transmitter and a secondary user to communicate with a main transmitter and a main user in the same frequency band and ensure that the interference of the secondary transmitter to the main user is within a certain threshold value, an RIS reflection coefficient matrix initial value is set, and a beam forming matrix is designed by utilizing partial CSI; designing an RIS reflection coefficient matrix by using partial CSI according to the beam forming matrix; the above operations are repeated until the system security rate converges. The invention can effectively improve the spectrum efficiency on the premise of knowing partial CSI, relieve the problem of spectrum scarcity in an actual communication scene and improve the safety rate of a system.

Description

RIS auxiliary cognitive radio wireless safety communication transmission method utilizing partial CSI
Technical Field
The invention belongs to the field of Internet of Things (IoT), and particularly relates to a Reconfigurable Intelligent reflecting Surface (RIS) auxiliary cognitive radio secure communication transmission method by using Channel State Information (CSI) of a legal user part.
Background
Currently, IoT has been gradually applied to various fields, such as: industrial, agricultural, medical, etc., billions of IoT devices are distributed around the world, such numerous IoT users, large amounts of valuable data, and limited-energy IoT devices, pose significant challenges to current communication networks. On one hand, the IoT network is easily intercepted due to the broadcast nature of the wireless medium, physical layer security has become a very valuable technology for ensuring secure communication, and RIS is applied in physical layer security because it shows great potential in improving IoT secure communication performance by controlling the propagation environment.
On the other hand, with the increasing popularity of IoT devices, the data traffic of mobile communication has increased exponentially in recent years, and data shows that the number of handheld mobile devices reaches 177.2 hundred million by the end of 2024. Spectrum has become a very scarce resource, which has to prompt researchers to study mechanisms for providing spectrum efficiency, and the concept of cognitive radio has been proposed and regarded as one of the most effective techniques for improving spectrum efficiency. The cognitive radio is an environment-aware intelligent wireless system, and spectrum sensing and sharing technologies are utilized to effectively alleviate the shortage of spectrum resources caused by the growth of wireless equipment.
The invention provides an RIS auxiliary cognitive radio wireless safety communication transmission method utilizing partial CSI, which has the difficulty that in a downlink MIMO cognitive radio communication system, in order to ensure that a secondary transmitter and a secondary user can communicate with a main transmitter and a main user in the same frequency band, the optimization of the system safety rate needs to be established on the premise that the interference of the secondary transmitter to the main user is within a certain threshold value.
Disclosure of Invention
The invention aims to solve the technical problem of providing a RIS auxiliary cognitive radio wireless safety communication transmission method utilizing partial CSI, which utilizes partial CSI to design a beam forming matrix and an RIS reflection coefficient matrix to maximize the system safety rate on the condition of ensuring that the interference of a secondary transmitter to a primary user is within a certain threshold value.
The invention provides a RIS auxiliary cognitive radio secure communication transmission method utilizing partial CSI, which comprises the following steps:
s1, constructing an RIS auxiliary cognitive radio wireless secure communication transmission system suitable for part of known CSI; the system comprises a main transmitter, a main user with M antennae, a secondary transmitter with D antennae, a secondary user with N antennae, an eavesdropper with E antennae and an RIS integrating L low-power consumption reflecting units;
s2, in the RIS assisted large-scale multiple-input multiple-output cognitive radio wireless safety communication system, setting an initial value of an RIS reflection coefficient matrix to ensure that a secondary transmitter and a secondary user can communicate with a main transmitter and a main user in the same frequency band and ensure that the interference of the secondary transmitter to the main user is within a certain threshold value;
s3, designing a beam forming matrix by using partial CSI;
s4, designing an RIS reflection coefficient matrix by using partial CSI according to the beam forming matrix;
s5, repeating the steps S3 and S4 until the system safety rate is converged.
In the RIS-assisted large-scale multi-input multi-output cognitive radio wireless safety communication system, in order to enable a secondary transmitter and a secondary user to communicate with a main transmitter and a main user in the same frequency band and ensure that the interference of the secondary transmitter to the main user is within a certain threshold value, an RIS reflection coefficient matrix initial value is set, and a beam forming matrix is designed by utilizing partial CSI; designing an RIS reflection coefficient matrix by using partial CSI according to the beam forming matrix; the above operations are repeated until the system security rate converges. The invention can effectively improve the spectrum efficiency on the premise of knowing partial CSI, relieve the problem of spectrum scarcity in an actual communication scene and improve the safety rate of a system.
The further optimized technical scheme of the invention is as follows:
in step S1, the direct links between the secondary transmitter and the secondary user and the eavesdropper are blocked by the obstacle, there is only one reflection path passing through the RIS between the secondary transmitter and the secondary user and the eavesdropper, and the channels H from the secondary transmitter to the RIS, from the RIS to the primary user, from the RIS to the secondary user, and from the RIS to the eavesdroppertRespectively as follows:
Figure BDA0003438659830000031
wherein,
Figure BDA0003438659830000032
a deterministic line-of-sight component representing the channel,
Figure BDA0003438659830000033
represents a non line-of-sight component of the channel and
Figure BDA0003438659830000034
Rtrepresenting the spatial correlation matrix, T, of the receiving antennastRepresents a spatial correlation matrix of the transmit antennas, and Ra、RP、Rb、Re、Ta、TP、Tb、Te、
Figure BDA0003438659830000035
Deterministic non-negative matrices of dimensions lxl, dx D, nx 0N, ex 1E, mxm, lxl, lxm, nxl, ex L, dx L, respectively, representing partial CSI including large-scale fading, rice factor; xtIs composed of the random component of the channel, and Xa，XP，Xb，XeThe matrix is L multiplied by M, N multiplied by L, E multiplied by L and D multiplied by L respectively, wherein elements are subjected to independent same distribution of zero mean and unit variance;
Figure BDA0003438659830000036
square root of the representation matrix; the transmission signal s is an mx 1 column vector, and the beamforming matrix Q ═ E { ss }H}，(·)HRepresenting the conjugate transpose of the matrix, the RIS reflection coefficient matrix Φ is an L × L diagonal matrix and Φ is diag ([ θ [ ])1,θ2,...θl...,θL]T)，θlIs a reflection coefficient and
Figure BDA0003438659830000037
j is a unit of an imaginary number,
Figure BDA0003438659830000038
indicates the angle of adjustment of the signal by the RIS and
Figure BDA0003438659830000039
in step S2, the initial RIS reflectance matrix Φ is given as ILWherein, ILIs an L × L identity matrix.
In step S3, designing a beamforming matrix using the partial CSI includes the following steps:
beamforming matrix Q*Comprises the following steps:
Figure BDA0003438659830000041
wherein, K and ΛQIs an auxiliary variable, whose expression is as follows:
Figure BDA0003438659830000042
Figure BDA0003438659830000043
where max { a, b } represents taking the larger of a and b,
Figure BDA0003438659830000044
is the center of Taylor expansion, VKAnd ΛKAre all through
Figure BDA0003438659830000045
Performing eigenvalue decomposition
Figure BDA0003438659830000046
The resulting auxiliary variable, FbAnd FeIs an auxiliary variable, and the specific expression is as follows:
Figure BDA0003438659830000047
Figure BDA0003438659830000048
v is such that Q*Satisfy trQ*≤MPTTr (-) denotes the trace of the matrix, PTIs the total transmit power, and λ is such that Q*Satisfy the interference power constraint E { tr (H)PΦHaQ*(HPΦHa)H)}≤MPIE { · } represents the expectation of the matrix, and the specific expression is:
Figure BDA0003438659830000049
PIis the maximum interference power threshold at the primary user; i isMIs an identity matrix of M x M,
Figure BDA00034386598300000410
the equivalent channel parameters based on the system part CSI are specifically expressed as follows:
Figure BDA00034386598300000411
Figure BDA00034386598300000412
Figure BDA0003438659830000051
Figure BDA0003438659830000052
Figure BDA0003438659830000053
Figure BDA0003438659830000054
Figure BDA0003438659830000055
Figure BDA0003438659830000056
wherein, Fi，Θi，Ξb，Ξe，Ψi，Πi，ΓiAre auxiliary variables and i belongs to { b, e }, and the specific expression is as follows:
Figure BDA0003438659830000057
Θi＝IL+i1ΨiRa
Ξb＝σ2IN+b2Rb
Ξe＝σ2IE+e2Re
Figure BDA0003438659830000058
Figure BDA0003438659830000059
Figure BDA00034386598300000510
in the formula,
Figure BDA00034386598300000511
is in the above expression
Figure BDA00034386598300000512
And
Figure BDA00034386598300000513
is in the above expression
Figure BDA00034386598300000514
And
Figure BDA00034386598300000515
i1is b in the above expression1And e1，σ2Is the variance of white Gaussian noise with a mean of 0, INIs an NxN identity matrix, IEIs an E × E identity matrix to obtain an optimal beamforming matrix Qopt＝Q*。
In step S4, designing an RIS reflection coefficient matrix using partial CSI according to the beamforming matrix, specifically including the following steps:
s401, taking the projection gradient parameter mu as 0.5, and calculating the Lagrange function of the rate related to interference power constraint
Figure BDA0003438659830000061
The specific expression is as follows:
Figure BDA0003438659830000062
in the formula,
Figure BDA0003438659830000063
the system safety rate is expressed as follows:
Figure BDA0003438659830000064
where A is the Lagrangian multiplier.
S402, updating the projection gradient parameter mu*：
Figure BDA0003438659830000065
Where Δ is the step size, and Δ is taken to be 0.1.
S403, order
Figure BDA0003438659830000066
Calculating the phase parameter theta of the RIS reflection coefficient matrix*Wherein
Figure BDA0003438659830000067
Is that
Figure BDA0003438659830000068
About thetalFor any 1,2, L has:
Figure BDA0003438659830000071
wherein E isllIs a matrix whose all the remaining values are 0 except the value of the ith row and ith column is 1; gamma raybAnd upsiloneIs an auxiliary function, the specific expression of which is as follows:
Figure BDA0003438659830000072
Figure BDA0003438659830000073
s404, RIS reflection coefficient matrix phi*＝diag(θ*) To obtain the optimal RIS reflection coefficient matrix phiopt＝Φ*。
In the step S5, the steps S3 and S4 are repeated until the system safety rate
Figure BDA0003438659830000074
Convergence, wherein,
Figure BDA0003438659830000075
see step S4, to obtain the optimal system security rate.
Compared with the prior art, the invention adopting the technical scheme has the following technical effects:
(1) the method is more practical, namely, partial CSI is adopted, and the beam forming matrix and the RIS reflection coefficient matrix are optimized alternately, so that the method is easier to obtain compared with instantaneous CSI;
(2) the invention adopts the cognitive radio technology, utilizes the spectrum sensing and sharing, improves the safety rate of the system and relieves the problems of the increase of wireless equipment and the scarcity of spectrum resources under the condition of ensuring that the interference of a secondary transmitter to a primary user is within a certain threshold value.
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FIG. 1 is a flow chart of the present invention.
FIG. 2 is a schematic diagram of a system of the present invention.
Detailed Description
The technical scheme of the invention is further explained in detail by combining the attached drawings: the present embodiment is implemented on the premise of the technical solution of the present invention, and a detailed implementation manner and a specific operation process are given, but the protection authority of the present invention is not limited to the following embodiments.
The embodiment provides an RIS (remote location information) assisted cognitive radio wireless security communication transmission method utilizing partial CSI (channel state information), which aims at maximizing the system security rate under the condition of ensuring that the interference of a secondary transmitter to a primary user is within a certain threshold value, and designs a beam forming matrix and an RIS reflection coefficient matrix by utilizing the partial CSI so as to maximize the system security rate. As shown in fig. 1, the method specifically comprises the following steps:
step 1: constructing an RIS auxiliary cognitive radio wireless safety communication transmission system suitable for part of the known CSI; the system comprises a main transmitter (omitted in the figure), a main user with M antennae, a secondary transmitter with D antennae, a secondary user with N antennae, an eavesdropper with E antennae and a RIS integrating L low-power consumption reflecting units;
step 1.1: the direct links between the secondary transmitter and the secondary user and the eavesdropper are blocked by obstacles, only one route through RIS exists between the secondary transmitter and the secondary user and between the secondary transmitter and the eavesdropper, and the channels H from the secondary transmitter to RIS, from RIS to the primary user, from RIS to the secondary user and from RIS to the eavesdropper aretRespectively as follows:
Figure BDA0003438659830000081
namely:
Figure BDA0003438659830000082
Figure BDA0003438659830000083
Figure BDA0003438659830000084
Figure BDA0003438659830000085
wherein HaRepresenting channels of secondary transmitters to an RIS，HPRepresenting the RIS channel to the primary user, HbRepresenting the channel of the RIS to the secondary user, HeRepresenting the RIS to eavesdropper's channel;
Figure BDA0003438659830000091
a deterministic line-of-sight component representing the channel, i.e.
Figure BDA0003438659830000092
A deterministic line-of-sight component representing the secondary transmitter to the RIS' channel,
Figure BDA0003438659830000093
a deterministic line-of-sight component representing the RIS to primary user channel,
Figure BDA0003438659830000094
a deterministic line-of-sight component representing the RIS to secondary user's channel,
Figure BDA0003438659830000095
a deterministic line-of-sight component representing the RIS to eavesdropper's channel;
Figure BDA0003438659830000096
represents a non line-of-sight component of the channel and
Figure BDA0003438659830000097
namely, it is
Figure BDA0003438659830000098
Represents the non-line-of-sight component of the secondary transmitter to the RIS' channel,
Figure BDA0003438659830000099
a non-line-of-sight component representing the RIS to primary user channel,
Figure BDA00034386598300000910
a non-line-of-sight component representing the RIS to secondary user's channel,
Figure BDA00034386598300000911
a non-line-of-sight component representing the RIS to eavesdropper's channel; rtRepresenting the spatial correlation matrix, T, of the receiving antennastRepresents a spatial correlation matrix of the transmit antennas, and Ra、RP、Rb、Re、Ta、TP、Tb、Te、
Figure BDA00034386598300000912
Deterministic non-negative matrices of dimensions lxl, dx D, nx 0N, ex 1E, mxm, lxl, lxm, nxl, ex L, dx L, respectively, representing partial CSI including large-scale fading, rice factor; xtIs composed of the random component of the channel, and Xa，XP，Xb，XeThe matrix is L multiplied by M, N multiplied by L, E multiplied by L and D multiplied by L, wherein elements are subject to independent same distribution of zero mean and unit variance;
Figure BDA00034386598300000913
square root of the representation matrix; the transmission signal s is an mx 1 column vector, and the beamforming matrix Q ═ E { ss }H}，(·)HRepresents a conjugate transpose of the matrix; the RIS reflection coefficient matrix Φ is an L × L diagonal matrix and Φ is diag ([ θ [ ])1,θ2,...θl...,θL]T)，θlIs a reflection coefficient and
Figure BDA00034386598300000914
j is a unit of an imaginary number,
Figure BDA00034386598300000915
indicates the angle of adjustment of the signal by the RIS and
Figure BDA00034386598300000916
step 1.2: in an RIS-assisted large-scale multi-input multi-output cognitive radio wireless safety communication system, in order to enable a secondary transmitter and a secondary user to communicate with a main transmitter and a main user in the same frequency band and ensure that the interference of the secondary transmitter to the main user is within a certain threshold value, an RIS reflection coefficient matrix initial value is set, and a beam forming matrix is designed by utilizing partial CSI, the method comprises the following steps:
given an initial RIS reflection coefficient matrix Φ ═ ILWherein, ILIs an L by L identity matrix; designing a beamforming matrix Q*Comprises the following steps:
Figure BDA0003438659830000101
wherein, K and ΛQIs an auxiliary variable, whose expression is as follows:
Figure BDA0003438659830000102
Figure BDA0003438659830000103
where max { a, b } represents taking the larger of a and b,
Figure BDA0003438659830000104
is the center of Taylor expansion, VKAnd ΛKAre all through
Figure BDA0003438659830000105
Performing eigenvalue decomposition
Figure BDA0003438659830000106
The resulting auxiliary variable, FbAnd FeIs an auxiliary variable, and the specific expression is as follows:
Figure BDA0003438659830000107
Figure BDA0003438659830000108
v is such that Q*Satisfy trQ*≤MPTTr (-) denotes the trace of the matrix, PTIs the total transmit power, and λ is such that Q*Satisfy the interference power constraint E { tr (H)PΦHaQ*(HPΦHa)H)}≤MPIE { · } represents the expectation of the matrix, and the specific expression is:
Figure BDA0003438659830000109
PIis the maximum interference power threshold at the primary user. I isMIs an identity matrix of M x M,
Figure BDA00034386598300001010
the equivalent channel parameters based on the system part CSI are specifically expressed as follows:
Figure BDA00034386598300001011
Figure BDA0003438659830000111
Figure BDA0003438659830000112
Figure BDA0003438659830000113
Figure BDA0003438659830000114
Figure BDA0003438659830000115
Figure BDA0003438659830000116
Figure BDA0003438659830000117
wherein, Fb，Fe，Θb，Θe，Ξb，Ξe，Ψb，Ψe，Πb，Πe，Γb，ΓeAre all auxiliary variables, and the specific expression is as follows:
Figure BDA0003438659830000118
Figure BDA0003438659830000119
Θb＝IL+i1ΨbRa
Θe＝IL+i1ΨeRa
Ξb＝σ2IN+b2Rb
Ξe＝σ2IE+e2Re
Figure BDA00034386598300001110
Figure BDA00034386598300001111
Figure BDA00034386598300001112
Figure BDA00034386598300001113
Figure BDA00034386598300001114
Figure BDA0003438659830000121
in the formula,
Figure BDA0003438659830000122
is in the above expression
Figure BDA0003438659830000123
And
Figure BDA0003438659830000124
is in the above expression
Figure BDA0003438659830000125
And
Figure BDA0003438659830000126
i1is b in the above expression1And e1，σ2Is the variance of white Gaussian noise with a mean of 0, INIs an NxN identity matrix, IEIs an E × E identity matrix to obtain an optimal beamforming matrix Qopt＝Q*。
Step 2: according to the beam forming matrix, the RIS reflection coefficient matrix is designed by utilizing partial CSI, and the method specifically comprises the following steps:
step 2.1: taking the projection gradient parameter mu as 0.5, and calculating the Lagrange function of the rate on the interference power constraint
Figure BDA0003438659830000127
The specific expression is as follows:
Figure BDA0003438659830000128
in the formula,
Figure BDA0003438659830000129
the system safety rate is expressed as follows:
Figure BDA00034386598300001210
where A is the Lagrangian multiplier.
Step 2.2: updating projection gradient parameter mu*：
Figure BDA00034386598300001211
Where Δ is the step size, and Δ is taken to be 0.1.
S403, order
Figure BDA00034386598300001212
Calculating the phase parameter theta of the RIS reflection coefficient matrix*Wherein
Figure BDA0003438659830000131
Is that
Figure BDA0003438659830000132
About thetalFor any 1,2, L has:
Figure BDA0003438659830000133
wherein E isllIs a matrix whose all the remaining values are 0 except the value of the ith row and ith column is 1; gamma raybAnd upsiloneIs an auxiliary function, the specific expression of which is as follows:
Figure BDA0003438659830000134
Figure BDA0003438659830000135
step 2.4: RIS reflection coefficient matrix phi*＝diag(θ*) To obtain the optimal RIS reflection coefficient matrix phiopt＝Φ*。
Step 2.5: repeat step 1.2 and 2.1 in step 2 until the system safe rate
Figure BDA0003438659830000136
Convergence, wherein,
Figure BDA0003438659830000137
see step 2.1 to obtain the optimal system security rate.
The above description is only an embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art can understand that the modifications or substitutions within the technical scope of the present invention are included in the scope of the present invention, and therefore, the scope of the present invention should be subject to the protection scope of the claims.

Claims (6)

1. A RIS assisted cognitive radio secure communication transmission method using partial CSI is characterized by comprising the following steps:
s1, constructing an RIS auxiliary cognitive radio wireless secure communication transmission system suitable for part of known CSI; the system comprises a main transmitter, a main user with M antennae, a secondary transmitter with D antennae, a secondary user with N antennae, an eavesdropper with E antennae and an RIS integrating L low-power consumption reflecting units;
s2, in the RIS assisted large-scale multiple-input multiple-output cognitive radio wireless safety communication system, setting an initial value of an RIS reflection coefficient matrix to ensure that a secondary transmitter and a secondary user can communicate with a main transmitter and a main user in the same frequency band and ensure that the interference of the secondary transmitter to the main user is within a certain threshold value;
s3, designing a beam forming matrix by using partial CSI;
s4, designing an RIS reflection coefficient matrix by using partial CSI according to the beam forming matrix;
s5, repeating the steps S3 and S4 until the system safety rate is converged.
2. The RIS assisted cognitive radio secure communication transmission method using partial CSI according to claim 1, wherein in said step S1, secondary transmitter is connected to RIS, RIS is connected to master user, RIS is connected to secondary user, RIS is connected to eavesdropper' S channel HtRespectively as follows:
Figure FDA0003438659820000011
wherein,
Figure FDA0003438659820000012
a deterministic line-of-sight component representing the channel,
Figure FDA0003438659820000013
represents a non line-of-sight component of the channel and
Figure FDA0003438659820000014
Rtrepresenting the spatial correlation matrix, T, of the receiving antennastRepresents a spatial correlation matrix of the transmit antennas, and Ra、RP、Rb、Re、Ta、TP、Tb、Te、
Figure FDA0003438659820000021
Deterministic non-negative matrices of dimensions L × L, D × D, N × 0N, E × 1E, M × M, L × L, L × L, L × L, L × M, N × L, E × L, D × L, respectively, representing a matrix containing large-scale fadingPartial CSI, rice factor; xtIs composed of the random component of the channel, and Xa，XP，Xb，XeMatrices of L × M, N × L, E × L, D × L, respectively; the transmission signal s is an mx 1 column vector, and the beamforming matrix Q ═ E { ss }H}，(·)HRepresents a conjugate transpose of the matrix; the RIS reflection coefficient matrix Φ is an L × L diagonal matrix and Φ is diag ([ θ [ ])1,θ2,...θl...,θL]T)，θlIs a reflection coefficient and
Figure FDA0003438659820000022
j is a unit of an imaginary number,
Figure FDA0003438659820000023
indicates the angle of adjustment of the signal by the RIS and
Figure FDA0003438659820000024
3. the RIS-assisted cognitive radio secure communication transmission method using partial CSI according to claim 2, wherein in said step S2, an initial RIS reflection coefficient matrix Φ ═ I is givenLWherein, ILIs an L × L identity matrix.
4. The RIS assisted cognitive radio secure communication transmission method using partial CSI according to claim 3, wherein said step S3, using partial CSI, designs a beamforming matrix, comprising the steps of:
beamforming matrix Q*Comprises the following steps:
Figure FDA0003438659820000025
wherein, K and ΛQIs an auxiliary variable, whose expression is as follows:
Figure FDA0003438659820000026
Figure FDA0003438659820000027
where max { a, b } represents taking the larger of a and b,
Figure FDA0003438659820000028
is the center of Taylor expansion, VKAnd ΛKAre all through
Figure FDA0003438659820000031
Performing eigenvalue decomposition
Figure FDA0003438659820000032
The resulting auxiliary variable, FbAnd FeIs an auxiliary variable, and the specific expression is as follows:
Figure FDA0003438659820000033
Figure FDA0003438659820000034
v is such that Q*Satisfy trQ*≤MPTParameter of (A), PTIs the total transmit power, and λ is such that Q*Satisfy the interference power constraint E { tr (H)PΦHaQ*(HPΦHa)H)}≤MPIE { · } represents the expectation of the matrix, and the specific expression is:
Figure FDA0003438659820000035
PIis the maximum interference power threshold at the primary user; i isMIs an identity matrix of M x M,
Figure FDA0003438659820000036
the equivalent channel parameters based on the system part CSI are specifically expressed as follows:
Figure FDA0003438659820000037
Figure FDA0003438659820000038
Figure FDA0003438659820000039
Figure FDA00034386598200000310
Figure FDA00034386598200000311
Figure FDA00034386598200000312
Figure FDA00034386598200000313
Figure FDA00034386598200000314
wherein, Fi，Θi，Ξb，Ξe，Ψi，Πi，ΓiAre auxiliary variables and i belongs to { b, e }, and the specific expression is as follows:
Figure FDA0003438659820000041
Θi＝IL+i1ΨiRa
Ξb＝σ2IN+b2Rb
Ξe＝σ2IE+e2Re
Figure FDA0003438659820000042
Figure FDA0003438659820000043
Figure FDA0003438659820000044
in the formula,
Figure FDA0003438659820000045
is in the above expression
Figure FDA0003438659820000046
And
Figure FDA0003438659820000047
Figure FDA0003438659820000048
is in the above expression
Figure FDA0003438659820000049
And
Figure FDA00034386598200000410
i1is b in the above expression1And e1；σ2Is the variance of white Gaussian noise with a mean of 0, INIs an NxN identity matrix, IEIs an E × E identity matrix to obtain an optimal beamforming matrix Qopt＝Q*。
5. The RIS assisted cognitive radio secure communication transmission method according to claim 4 using partial CSI, wherein said step S4, using partial CSI to design an RIS reflection coefficient matrix according to a beam forming matrix, comprises the following steps:
s401, taking the projection gradient parameter mu as 0.5, and calculating the Lagrange function of the rate related to interference power constraint
Figure FDA00034386598200000411
The specific expression is as follows:
Figure FDA00034386598200000412
in the formula,
Figure FDA00034386598200000413
the system safety rate is expressed as follows:
Figure FDA0003438659820000051
wherein A is a Lagrangian multiplier;
s402, updating the projection gradient parameter mu*：
Figure FDA0003438659820000052
Wherein, Δ is step length, and Δ is taken to be 0.1;
s403, order
Figure FDA0003438659820000053
Calculating the phase parameter theta of the RIS reflection coefficient matrix*Wherein
Figure FDA0003438659820000054
Is that
Figure FDA0003438659820000055
About thetalFor any 1,2, L has:
Figure FDA0003438659820000056
wherein E isllIs a matrix with all 0 values except the value of 1 in the ith row and ith column, gammabAnd gammaeIs an auxiliary function, the specific expression of which is as follows:
Figure FDA0003438659820000061
Figure FDA0003438659820000062
s404, RIS reflection coefficient matrix phi*＝diag(θ*) To obtain the optimal RIS reflection coefficient matrix phiopt＝Φ*。
6. The RIS-assisted cognitive radio secure communication transmission method using partial CSI as claimed in claim 5, wherein in the step S5, the steps S3 and S4 are repeated until the system security rate
Figure FDA0003438659820000063
Convergence, wherein,
Figure FDA0003438659820000064
see claim 5, to obtain the optimal system security rate.
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CN114584233A (en) * 2022-03-28 2022-06-03 东莞理工学院 Cognitive wireless network interruption performance prediction method and system based on RIS assistance
CN114826344A (en) * 2022-04-14 2022-07-29 南京邮电大学 Secret communication method based on cognitive radio in industrial internet environment
CN115066009A (en) * 2022-05-16 2022-09-16 西安邮电大学 Multi-user frequency spectrum sharing method based on intelligent reflecting surface in cognitive radio
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CN114584233A (en) * 2022-03-28 2022-06-03 东莞理工学院 Cognitive wireless network interruption performance prediction method and system based on RIS assistance
CN114584233B (en) * 2022-03-28 2022-11-22 东莞理工学院 Cognitive wireless network interruption performance prediction method and system based on RIS assistance
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