CN117081636A - Transmitting power optimization method and device for reconfigurable intelligent surface auxiliary active interference - Google Patents
Transmitting power optimization method and device for reconfigurable intelligent surface auxiliary active interference Download PDFInfo
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- H—ELECTRICITY
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- 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
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- H—ELECTRICITY
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- 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
- H04B7/0619—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 using feedback from receiving side
- H04B7/0621—Feedback content
- H04B7/0623—Auxiliary parameters, e.g. power control [PCB] or not acknowledged commands [NACK], used as feedback information
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- 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
- H04B7/0619—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 using feedback from receiving side
- H04B7/0621—Feedback content
- H04B7/063—Parameters other than those covered in groups H04B7/0623 - H04B7/0634, e.g. channel matrix rank or transmit mode selection
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- 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
- H04B7/0619—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 using feedback from receiving side
- H04B7/0621—Feedback content
- H04B7/0632—Channel quality parameters, e.g. channel quality indicator [CQI]
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Abstract
The invention discloses a method and a device for optimizing transmitting power of reconfigurable intelligent surface auxiliary active interference, which are suitable for a wireless communication system comprising RIS, an active interference device, an illegal transmitter and an illegal receiver; the illegal transmitter transmits signals to the illegal receiver, and the RIS is utilized to assist in interfering the communication between the illegal transmitter and the illegal receiver; the method specifically comprises the following steps: acquiring channel state information among the RIS, the active jammer, the illegal transmitter and the illegal receiver; calculating the signal-to-interference-and-noise ratio of the illegal receiver according to the channel state information; and constructing an optimization problem aiming at minimizing the transmitting power of the active interference device, and obtaining the minimized transmitting power of the active interference device by jointly optimizing the RIS phase shift matrix and the beam forming vector of the active interference device by taking the signal-to-interference-and-noise ratio of an illegal receiver as a constraint and solving the optimization problem. The advantages are that: on the premise of ensuring the interference effect, the transmitting power consumption of the active interference device is effectively reduced.
Description
Technical Field
The invention relates to a method and a device for optimizing transmitting power of reconfigurable intelligent surface auxiliary active interference, and belongs to the technical field of wireless communication.
Background
With the development of wireless communication technology, the number of communication terminals has been increasing explosively. Therefore, limited radio resources need to be allocated for efficient use. However, in the prior art, the phenomenon of illegally occupying wireless resources exists, which affects the normal communication of legal users. For the above-mentioned problems, an active jammer is generally adopted to directly interfere with communication between illegal nodes. However, due to the high power consumption of the active jammers, it is difficult to consistently and effectively hit the illegal nodes.
RIS is a completely new revolutionary technology that can intelligently configure wireless propagation environments. In particular, the RIS is comprised of a plurality of low cost passive reflecting elements and a control module, wherein each reflecting element is capable of independently adjusting the phase shift of the incident signal. Unlike conventional signal amplifiers or antenna arrays, RIS can achieve signal enhancement by reflection beamforming, thereby reducing power consumption and cost.
However, in related studies of RIS, the use of RIS to improve the performance of wireless links has focused on ignoring its use in electronic countermeasure.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provide a method and a device for optimizing the transmitting power of reconfigurable intelligent surface auxiliary active interference.
In order to solve the technical problems, the invention provides a transmission power optimization method of reconfigurable intelligent surface auxiliary active interference, which is suitable for a wireless communication system comprising a RIS, an active interference device, an illegal transmitter and an illegal receiver; the illegal transmitter transmits signals to the illegal receiver, and the RIS auxiliary active interference device is utilized to interfere communication between the illegal transmitter and the illegal receiver; wherein the RIS hasNA reflection unit, an active disturbance havingMThe root antenna, the illegal transmitter and the illegal receiver are provided with single antennas;
the method comprises the following steps:
acquiring channel state information from an active jammer to the RIS, from the RIS to an illegal receiver, from the active jammer to the illegal receiver, from the illegal transmitter to the RIS and from the illegal transmitter to the illegal receiver;
calculating the signal-to-interference-and-noise ratio of the illegal receiver according to the channel state information;
and constructing an optimization problem aiming at minimizing the transmitting power of the active interference device, and solving the optimization problem by taking the signal-to-interference-and-noise ratio of an illegal receiver as a constraint and jointly optimizing the RIS phase shift matrix and the beam forming vector of the active interference device to obtain the minimized transmitting power of the active interference device.
Further, the calculating the signal-to-interference-and-noise ratio of the illegal receiver according to the channel state information includes:
constructing a received signal expression of the illegal receiver according to the channel state information, wherein the received signal expression is expressed as follows:
;
in the method, in the process of the invention,ya received signal representing an illegal receiver;P S representing the transmission power of an illegal transmitter;h IR a vector of channel state information representing the reflection units of the RIS to an illegal receiver,,/>representing RIS No. 1nThe channel state information from the reflection units to the illegal receiver; superscriptHRepresents a conjugate transpose;Θthe phase shift matrix representing the RIS is represented,whereinυFor the auxiliary representation of the phase shift matrix, +.>Diag (·) represents diagonalization operations, < ->The complex index is represented by the number of indices,jin units of imaginary numbers,θ n representing RIS No. 1nThe phases of the reflecting units, andθ n ∈[0,2π),n∈{1,2,…,N};h SI a channel state information vector representing the illegal transmitter to each reflection unit of the RIS;h SR channel state information representing illegal transmitter to illegal receiver;H JI matrix of channel state information representing active interferers to RIS,/>Wherein->Representing active jammer firstmChannel state information vector from the transmitting antenna to each reflection unit of RIS>,/>Representing active jammer firstmRoot antenna to RISnChannel state information between the individual reflecting units,m∈{1,2,…,M};h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;wa beamforming vector representing the active interferer;x s information representing the illegal transmitter to the illegal receiver, satisfying +.>Wherein->Representing the desire;x J representing an interfering signal transmitted by an active jammer to an illegal receiver, satisfying +.>;n 0 Representing additive white gaussian noise at an illegal receiver, subject to averagingThe value is zero, the variance is +.>Is recorded as complex Gaussian distribution of (C);
Determining an expression of signal-to-interference-and-noise ratio of the illegal receiver according to the expression of the received signal of the illegal receiver, wherein the expression is expressed as follows:
;
where SINR represents the signal-to-interference-and-noise ratio of an illegal receiver.
Further, the optimization problem aimed at minimizing the transmission power of the active interferer is expressed as:
;
wherein equation (3 a) represents the signal-to-interference-and-noise ratio constraint of an illegal receiver,representing the maximum threshold value allowed by illegal receiver signal-to-interference noise; equation (3 b) represents the phase constraint of each reflection unit of the RIS.
Further, the step of jointly optimizing the RIS phase shift matrix and the beam forming vector of the active jammer by using the signal-to-interference-and-noise ratio of the illegal receiver as a constraint, and solving the optimization problem to obtain the minimum transmitting power of the active jammer comprises the following steps:
decomposing the optimization problem into a sub-problem P1 and a sub-problem P2;
the sub-problem P1 is a phase shift matrix when RISΘFixed time, optimized beamforming vectorwThe corresponding expression is:
;
relaxing the non-convex rank-one constraint by a semi-positive definite relaxation algorithm to convert the sub-problem P1 intoSolving the convex optimization problem by adopting a CVX tool kit, and applying Gaussian randomization reduction rank-one constraint to the solved result to obtain the beam forming vector of the optimized active interference device;
The sub-problem P2 is when the beamforming vectorwOptimizing the phase shift matrix of RIS when fixedΘThe corresponding expression is:
;
relaxation variable is introduced by relaxing non-convex rank-one constraint through a semi-positive definite relaxation algorithmαConverting the sub-problem P2 into a convex optimization problem, solving the convex optimization problem by adopting a CVX tool kit, and applying Gaussian randomization reduction rank-one constraint to the solved result to obtain a phase shift matrix of the optimized RIS;
And carrying out alternate iteration on the two sub-problems until the objective function in the optimization problem converges to obtain an RIS phase shift matrix, an active interference beam forming vector and an optimization solution of the transmitting power of the active interference.
The transmitting power optimizing device is applicable to a wireless communication system comprising RIS, an active jammer, an illegal transmitter and an illegal receiver; the illegal transmitter transmits signals to the illegal receiver, and the RIS is utilized to assist in interfering the communication between the illegal transmitter and the illegal receiver; wherein the RIS hasNA reflection unit, an active disturbance havingMThe root antenna, the illegal transmitter and the illegal receiver are provided with single antennas;
the device comprises the following modules:
the acquisition module is used for acquiring channel state information among the RIS, the active jammer, the illegal transmitter and the illegal receiver;
the computing module is used for computing the signal-to-interference-and-noise ratio of the illegal receiver according to the channel state information;
and the optimization module is used for constructing an optimization problem aiming at minimizing the transmitting power of the active interference device, taking the signal-to-interference-and-noise ratio of the illegal receiver as a constraint, jointly optimizing the RIS phase shift matrix and the beam forming vector of the active interference device, and solving the optimization problem to obtain the minimized transmitting power of the active interference device.
Further, the computing module is used for
Constructing a received signal expression of the illegal receiver according to the channel state information, wherein the received signal expression is expressed as follows:
;
in the method, in the process of the invention,ya received signal representing an illegal receiver;P S representing the transmission power of an illegal transmitter;h IR a vector of channel state information representing the reflection units of the RIS to an illegal receiver,,/>representing RIS No. 1nThe channel state information from the reflection units to the illegal receiver; superscriptHRepresents a conjugate transpose;Θthe phase shift matrix representing the RIS is represented,whereinυFor the auxiliary representation of the phase shift matrix, +.>Diag (·) represents diagonalization operations, < ->The complex index is represented by the number of indices,jin units of imaginary numbers,θ n representing RIS No. 1nThe phases of the reflecting units, andθ n ∈[0,2π),n∈{1,2,…,N};h SI information representing illegal transmitter to each reflection unit of RISA track status information vector;h SR channel state information representing illegal transmitter to illegal receiver;H JI matrix of channel state information representing active interferers to RIS,/>Wherein->Representing active jammer firstmChannel state information vector from the transmitting antenna to each reflection unit of RIS>,/>Representing active jammer firstmRoot antenna to RISnChannel state information between the individual reflecting units,m∈{1,2,…,M};h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;wa beamforming vector representing the active interferer;x s information representing the illegal transmitter to the illegal receiver, satisfying +.>Wherein->Representing the desire;x J representing an interfering signal transmitted by an active jammer to an illegal receiver, satisfying +.>;n 0 Representing additive white gaussian noise at an illegal receiver, obeying a mean of zero, variance of +.>Is recorded as complex Gaussian distribution of (C);
Determining an expression of signal-to-interference-and-noise ratio of the illegal receiver according to the expression of the received signal of the illegal receiver, wherein the expression is expressed as follows:
;
where SINR represents the signal-to-interference-and-noise ratio of an illegal receiver.
Further, the optimization module includes a model construction unit for constructing an optimization problem targeting the minimization of the transmit power of the active interferer, the optimization problem being expressed as:
;
wherein equation (3 a) represents the signal-to-interference-and-noise ratio constraint of an illegal receiver,representing the maximum threshold value allowed by illegal receiver signal-to-interference noise; equation (3 b) represents the phase constraint of each reflection unit of the RIS.
Further, the optimization module comprises a solving unit for
Decomposing the optimization problem into a sub-problem P1 and a sub-problem P2;
the sub-problem P1 is a phase shift matrix when RISΘFixed time, optimized beamforming vectorwThe corresponding expression is:
;
relaxing a non-convex rank-one constraint through a semi-positive relaxation algorithm, converting the sub-problem P1 into a convex optimization problem, solving the convex optimization problem by adopting a CVX tool kit, and reducing the rank-one constraint by Gaussian randomization aiming at the solved result to obtain the beam forming vector of the optimized active interference device;
The sub-problem P2 is when the beamforming vectorwOptimizing the phase shift matrix of RIS when fixedΘThe corresponding expression is:
;
relaxation variable is introduced by relaxing non-convex rank-one constraint through a semi-positive definite relaxation algorithmαConverting the sub-problem P2 into a convex optimization problem, solving the convex optimization problem by adopting a CVX tool kit, and applying Gaussian randomization reduction rank-one constraint to the solved result to obtain a phase shift matrix of the optimized RIS;
And carrying out alternate iteration on the two sub-problems until the objective function in the optimization problem converges to obtain an RIS phase shift matrix, an active interference beam forming vector and an optimization solution of the transmitting power of the active interference.
The invention has the beneficial effects that:
the method provided by the invention uses the signal-to-interference-and-noise ratio of an illegal receiver as a constraint, and uses the transmission power of a minimum active interference device as a target, so as to jointly optimize the RIS phase shift matrix and the active interference beam forming vector. The RIS auxiliary active interference scheme provided by the invention has the advantage that the transmitting power of the active interference device is obviously lower than that of the traditional RIS-free auxiliary active interference scheme on the premise of ensuring the same interference effect. The method is beneficial to realizing continuous and efficient striking of illegal nodes, and has important significance for seeking a green communication scheme.
Drawings
FIG. 1 is a flow chart of steps of a method for optimizing transmit power of reconfigurable intelligent surface-assisted active interference according to the present invention;
FIG. 2 is a schematic diagram of an RIS assisted active disturbance system according to an embodiment of the present invention;
fig. 3 is a diagram showing a comparison between the transmission power of an active jammer and the number of active jammer antennas according to an embodiment of the present invention.
Detailed Description
The invention is further described below with reference to the accompanying drawings. The following examples are only for more clearly illustrating the technical aspects of the present invention, and are not intended to limit the scope of the present invention.
In embodiment 1, as shown in fig. 1, the invention discloses a method for optimizing the transmitting power of reconfigurable intelligent surface auxiliary active interference, which is suitable for a wireless communication system comprising a reconfigurable intelligent surface (RIS, reconfigurable Intelligent Surface), an active interference device, an illegal transmitter and an illegal receiver, wherein the illegal transmitter transmits signals to the illegal receiver, and the RIS auxiliary interference is utilized to communicate between the illegal transmitter and the illegal receiver. Wherein the RIS hasNA reflection unit, an active disturbance havingMThe root antenna, the illegal transmitter and the illegal receiver are configured with a single antenna. In order to reduce the energy consumption of the active jammer and avoid being found by an illegal receiver, the transmitting power of the active jammer needs to be as small as possible on the premise of ensuring the successful interference. The method comprises the following steps:
acquiring channel state information among the RIS, the active jammer, the illegal transmitter and the illegal receiver;
calculating the signal-to-interference-and-noise ratio of the illegal receiver according to the channel state information;
constructing an optimization problem aiming at minimizing the transmitting power of the active interference device, and jointly optimizing the RIS phase shift matrix and the beam forming vector of the active interference device by taking the signal-to-interference-and-noise ratio of an illegal receiver as a constraint; because the optimization problem is a non-convex problem, in order to solve the problem, the original problem is converted into two sub-problems, and the two sub-problems are iteratively solved by adopting an alternative optimization method.
Received signal of said illegal receiveryCan be expressed as follows:
formula (1);
in the method, in the process of the invention,ya received signal representing an illegal receiver;P S representing the transmission power of an illegal transmitter;h IR a vector of channel state information representing the reflection units of the RIS to an illegal receiver,,/>representing RIS No. 1nThe channel state information from the reflection units to the illegal receiver; superscriptHRepresents a conjugate transpose;Θthe phase shift matrix representing the RIS is represented,whereinυFor the auxiliary representation of the phase shift matrix, +.>Diag (·) represents diagonalization operations, < ->The complex index is represented by the number of indices,jin units of imaginary numbers,θ n representing RIS No. 1nThe phases of the reflecting units, andθ n ∈[0,2π),n∈{1,2,…,N};h SI a channel state information vector representing the illegal transmitter to each reflection unit of the RIS;h SR channel state information representing illegal transmitter to illegal receiver;H JI matrix of channel state information representing active interferers to RIS,/>Wherein->Representing active jammer firstmChannel state information vector from the transmitting antenna to each reflection unit of RIS>,/>Representing active jammer firstmRoot antenna to RISnChannel state information between the individual reflecting units,m∈{1,2,…,M};h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;wa beamforming vector representing the active interferer;x s information representing the illegal transmitter to the illegal receiver, satisfying +.>Wherein->Representing the desire;x J representing an interfering signal transmitted by an active jammer to an illegal receiver, satisfying +.>;n 0 Representing additive white gaussian noise at an illegal receiver, obeying a mean of zero, variance of +.>Is recorded as complex Gaussian distribution of (C);
Determining an expression of signal-to-interference-and-noise ratio of the illegal receiver according to the expression of the received signal of the illegal receiver, wherein the expression is expressed as follows:
formula (2);
where SINR represents the signal-to-interference-and-noise ratio of an illegal receiver.
The transmitting power of the active jammerThen the power minimization problem can be modeled as:
;
wherein equation (3 a) represents the signal-to-interference-and-noise ratio constraint of an illegal receiver,representing the maximum threshold value allowed by illegal receiver signal-to-interference noise; equation (3 b) represents the phase constraint of each reflection unit of the RIS.
The problem solving method is as follows:
the original problem is decomposed into the following two sub-problems (sub-problem P1 and sub-problem P2) for solving aiming at the mutual coupling of a plurality of variables in the original problem.
The sub-problem P1 is the phase shift matrix of the RISΘFixed time, optimized beamforming vectorwThe corresponding sub-problem P1 expression is:
formula (4 a);
order the,/>The corresponding sub-problem can be translated into:
;
wherein Tr (·) represents the trace of the matrix and rank (·) represents the rank of the matrix; formula (5 b)WThe non-convex constraint (5 c) is relaxed by a semi-positive relaxation (SDR, semidefinite Relaxation) algorithm for a semi-positive matrix.
This sub-problem has been translated into a convex optimization problem and can therefore be solved using existing CVX toolkits. Beamforming matrix for active interferers for CVX solutionReducing rank by Gaussian randomizationW) Constraint of =1, resulting in optimized initiativeBeamforming vector of jammer->。
For a given beamforming vectorwThe corresponding sub-problem is reduced to a feasibility check problem, which can be expressed as:
;
order the,/>,/>Wherein->,/>,,/>,/>The corresponding sub-problem can be translated into:
;
wherein,representation matrix numbernLine 1nElements of a column; formula (7 b)VFor a semi-positive definite matrix, the non-convex constraint (7 d) is relaxed by SDR algorithm.
To obtain better harvestConverging and converging, introducing relaxation variablesαThe sub-problem is further translated into an optimization problem with a definite objective:
;
this sub-problem has been translated into a convex optimization problem and can therefore be solved using existing CVX toolkits. Matrix obtained for CVX solutionReducing rank by Gaussian randomizationV) Constraint of =1, resulting in a phase shift vector +.>。
And finally, alternately iterating the two sub-problems until the objective function in the original problem is converged, and obtaining an RIS phase shift matrix, an active interference beam forming vector and an optimal solution of the transmitting power of the active interference.
An example of an on-computer simulation implementation of the invention is given below. The RIS auxiliary active interference system in the embodiment of the invention is shown in figure 2 and comprises an RIS, an active interference device, an illegal transmitter and an illegal receiver. Wherein the RIS has 40 reflecting units and the active disrupter hasMThe root antenna, the illegal transmitter and the illegal receiver are configured with a single antenna. In the simulation example we consider a three-dimensional cartesian coordinate system in meters, where the RIS, active jammers, illegal transmitters, illegal receivers are located at (2,0,0), (0, 0), (30,0,0) and (30,20,0), respectively. Large-scale path loss modeling asWherein->For reference distanced 0 The path loss value at 1m,dis the distance between two nodes,αis the path loss index. Path loss index for active jammer to RIS linkα JI Path loss index for illegal transmitter to RIS linkα SI And the path loss index of the RIS to illegal receiver linkα IR Is arranged asα JI =α SI =α IR =2.5; path loss index of active jammer to illegal receiver linkα JR And path loss index of an illegal transmitter to illegal receiver linkα SR Is arranged asα JR =α SR =3.5. The active jammer to RIS link, the illegal transmitter to RIS link, and the RIS to illegal receiver link are modeled using rice channels, with the rice factor for each link being 1. Active jammer-to-illegal receiver links and illegal transmitter-to-illegal receiver links employ rayleigh channel modeling. Other parameters were set as follows: noise power->Transmitting power of illegal transmitterP S =30dbm, signal-to-interference-and-noise ratio threshold valueγ 0 =-10dBm。
As shown in fig. 3, the RIS-assisted active interference scheme proposed by the present invention has a significantly lower transmit power than the conventional RIS-free active interference scheme, while ensuring that the same interference effect is achieved.
Embodiment 2, based on the same inventive concept as embodiment 1, introduces a transmission power optimization device for reconfigurable intelligent surface-assisted active interference, which is applicable to a wireless communication system including an RIS, an active jammer, an illegal transmitter, and an illegal receiver; the illegal transmitter transmits signals to the illegal receiver, and the RIS is utilized to assist in interfering the communication between the illegal transmitter and the illegal receiver; wherein the RIS hasNA reflection unit, an active disturbance havingMThe root antenna, the illegal transmitter and the illegal receiver are provided with single antennas;
the device comprises the following modules:
the acquisition module is used for acquiring channel state information among the RIS, the active jammer, the illegal transmitter and the illegal receiver;
the computing module is used for computing the signal-to-interference-and-noise ratio of the illegal receiver according to the channel state information;
and the optimization module is used for constructing an optimization problem aiming at minimizing the transmitting power of the active interference device, taking the signal-to-interference-and-noise ratio of the illegal receiver as a constraint, jointly optimizing the RIS phase shift matrix and the beam forming vector of the active interference device, and solving the optimization problem to obtain the minimized transmitting power of the active interference device.
The calculation module is used for
Constructing a received signal expression of the illegal receiver according to the channel state information, wherein the received signal expression is expressed as follows:
;
in the method, in the process of the invention,ya received signal representing an illegal receiver;P S representing the transmission power of an illegal transmitter;h IR a vector of channel state information representing the reflection units of the RIS to an illegal receiver,,/>representing RIS No. 1nThe channel state information from the reflection units to the illegal receiver; superscriptHRepresents a conjugate transpose;Θthe phase shift matrix representing the RIS is represented,whereinυFor the auxiliary representation of the phase shift matrix, +.>Diag (·) represents diagonalization operations, < ->The complex index is represented by the number of indices,jin units of imaginary numbers,θ n representing RIS No. 1nThe phases of the reflecting units, andθ n ∈[0,2π),n∈{1,2,…,N};h SI a channel state information vector representing the illegal transmitter to each reflection unit of the RIS;h SR channel state information representing illegal transmitter to illegal receiver;H JI matrix of channel state information representing active interferers to RIS,/>Wherein->Representing active jammer firstmChannel state information vector from the transmitting antenna to each reflection unit of RIS>,/>Representing active jammer firstmRoot antenna to RISnChannel state information between the individual reflecting units,m∈{1,2,…,M};h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;wa beamforming vector representing the active interferer;x s information representing the illegal transmitter to the illegal receiver, satisfying +.>Wherein->Representing the desire;x J representing an interfering signal transmitted by an active jammer to an illegal receiver, satisfying +.>;n 0 Representing additive white gaussian noise at an illegal receiver, obeying a mean of zero, variance of +.>Is recorded as complex Gaussian distribution of (C);
Determining an expression of signal-to-interference-and-noise ratio of the illegal receiver according to the expression of the received signal of the illegal receiver, wherein the expression is expressed as follows:
;
where SINR represents the signal-to-interference-and-noise ratio of an illegal receiver.
The optimization module comprises a model construction unit for constructing an optimization problem targeting the minimization of the transmit power of the active interferer, the optimization problem being expressed as:
;
wherein equation (3 a) represents the signal-to-interference-and-noise ratio constraint of an illegal receiver,representing the maximum threshold value allowed by illegal receiver signal-to-interference noise; equation (3 b) represents the phase constraint of each reflection unit of the RIS.
The optimization module comprises a solving unit for
Decomposing the optimization problem into a sub-problem P1 and a sub-problem P2;
the sub-problem P1 is a phase shift matrix when RISΘFixed time, optimized beamforming vectorwThe corresponding expression is:
;
relaxing a non-convex rank-one constraint through a semi-positive relaxation algorithm, converting the sub-problem P1 into a convex optimization problem, solving the convex optimization problem by adopting a CVX tool kit, and reducing the rank-one constraint by Gaussian randomization aiming at the solved result to obtain the beam forming vector of the optimized active interference device;
The sub-problem P2 is when the beamforming vectorwOptimizing the phase shift matrix of RIS when fixedΘThe corresponding expression is:
;
relaxation variable is introduced by relaxing non-convex rank-one constraint through a semi-positive definite relaxation algorithmαConverting the sub-problem P2 into a convex optimization problem, solving the convex optimization problem by adopting a CVX tool kit, and applying Gaussian randomization reduction rank-one constraint to the solved result to obtain a phase shift matrix of the optimized RIS;
And carrying out alternate iteration on the two sub-problems until the objective function in the optimization problem converges to obtain an RIS phase shift matrix, an active interference beam forming vector and an optimization solution of the transmitting power of the active interference.
The foregoing is merely a preferred embodiment of the present invention, and it should be noted that modifications and variations could be made by those skilled in the art without departing from the technical principles of the present invention, and such modifications and variations should also be regarded as being within the scope of the invention.
Claims (8)
1. The method is characterized by being suitable for a wireless communication system comprising an RIS, an active jammer, an illegal transmitter and an illegal receiver; the illegal transmitter transmits signals to the illegal receiver, and the RIS auxiliary active interference device is utilized to interfere communication between the illegal transmitter and the illegal receiver; wherein the RIS hasNA reflection unit, an active disturbance havingMThe root antenna, the illegal transmitter and the illegal receiver are provided with single antennas;
the method comprises the following steps:
acquiring channel state information from an active jammer to the RIS, from the RIS to an illegal receiver, from the active jammer to the illegal receiver, from the illegal transmitter to the RIS and from the illegal transmitter to the illegal receiver;
calculating the signal-to-interference-and-noise ratio of the illegal receiver according to the channel state information;
and constructing an optimization problem aiming at minimizing the transmitting power of the active interference device, and solving the optimization problem by taking the signal-to-interference-and-noise ratio of an illegal receiver as a constraint and jointly optimizing the RIS phase shift matrix and the beam forming vector of the active interference device to obtain the minimized transmitting power of the active interference device.
2. The method for optimizing the transmission power of the reconfigurable intelligent surface-assisted active interference according to claim 1, wherein the calculating the signal-to-interference-and-noise ratio of the illegal receiver according to the channel state information comprises:
constructing a received signal expression of the illegal receiver according to the channel state information, wherein the received signal expression is expressed as follows:
;
in the method, in the process of the invention,ya received signal representing an illegal receiver;P S representing the transmission power of an illegal transmitter;h IR a vector of channel state information representing the reflection units of the RIS to an illegal receiver,,/>representing RIS No. 1nThe channel state information from the reflection units to the illegal receiver; superscriptHRepresents a conjugate transpose;Θphase shift matrix representing RIS, < >>WhereinυTo aid in representing the phase shift matrix,/>diag (·) represents the diagonalization operation,the complex index is represented by the number of indices,jin units of imaginary numbers,θ n representing RIS No. 1nThe phases of the reflecting units, andθ n ∈[0,2π),n∈{1,2,…,N};h SI a channel state information vector representing the illegal transmitter to each reflection unit of the RIS;h SR channel state information representing illegal transmitter to illegal receiver;H JI representing the channel state information matrix between the active interferer to the RIS,wherein->Representing active jammer firstmChannel state information vector from the transmitting antenna to each reflection unit of RIS>,/>Representing active jammer firstmRoot antenna to RISnChannel state information between the individual reflecting units,m∈{1,2,…,M};h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;wa beamforming vector representing the active interferer;x s information representing the illegal transmitter to the illegal receiver, satisfying +.>WhereinRepresenting the desire;x J representing an interfering signal transmitted by an active jammer to an illegal receiver, satisfying +.>;n 0 Representing additive white gaussian noise at an illegal receiver, obeying a mean of zero, variance of +.>Is recorded as complex Gaussian distribution of (C);
Determining an expression of signal-to-interference-and-noise ratio of the illegal receiver according to the expression of the received signal of the illegal receiver, wherein the expression is expressed as follows:
;
where SINR represents the signal-to-interference-and-noise ratio of an illegal receiver.
3. The method for optimizing the transmit power of reconfigurable intelligent surface-assisted active interference according to claim 2, wherein the optimization problem targeting the minimization of the transmit power of the active interferer is expressed as:
;
wherein equation (3 a) represents the signal-to-interference-and-noise ratio constraint of an illegal receiver,representing the maximum threshold value allowed by illegal receiver signal-to-interference noise; equation (3 b) represents the phase constraint of each reflection unit of the RIS.
4. The method for optimizing the transmission power of the reconfigurable intelligent surface assisted active interference according to claim 3, wherein the combined optimization of the RIS phase shift matrix and the active interference beam forming vector with the signal-to-interference-plus-noise ratio of the illegal receiver as a constraint, solving the optimization problem to obtain the minimized transmission power of the active interference, comprises:
decomposing the optimization problem into a sub-problem P1 and a sub-problem P2;
the sub-problem P1 is a phase shift matrix when RISΘFixed time, optimized beamforming vectorwThe corresponding expression is:
;
relaxing a non-convex rank-one constraint through a semi-positive relaxation algorithm, converting the sub-problem P1 into a convex optimization problem, solving the convex optimization problem by adopting a CVX tool kit, and reducing the rank-one constraint by Gaussian randomization aiming at the solved result to obtain the beam forming vector of the optimized active interference device;
The sub-problem P2 is when the beamforming vectorwOptimizing the phase shift matrix of RIS when fixedΘThe corresponding expression is:
;
relaxation variable is introduced by relaxing non-convex rank-one constraint through a semi-positive definite relaxation algorithmαConverting the sub-problem P2 into a convex optimization problem, solving the convex optimization problem by adopting a CVX tool kit, and applying Gaussian randomization reduction rank-one constraint to the solved result to obtain a phase shift matrix of the optimized RIS;
And carrying out alternate iteration on the two sub-problems until the objective function in the optimization problem converges to obtain an RIS phase shift matrix, an active interference beam forming vector and an optimization solution of the transmitting power of the active interference.
5. The transmitting power optimizing device of the reconfigurable intelligent surface auxiliary active interference is characterized by being suitable for a wireless communication system comprising a RIS, an active interference device, an illegal transmitter and an illegal receiver; the illegal transmitter transmits signals to the illegal receiver, and the RIS is utilized to assist in interfering the communication between the illegal transmitter and the illegal receiver; wherein the RIS hasNA reflection unit, an active disturbance havingMThe root antenna, the illegal transmitter and the illegal receiver are provided with single antennas;
the device comprises the following modules:
the acquisition module is used for acquiring channel state information among the RIS, the active jammer, the illegal transmitter and the illegal receiver;
the computing module is used for computing the signal-to-interference-and-noise ratio of the illegal receiver according to the channel state information;
and the optimization module is used for constructing an optimization problem aiming at minimizing the transmitting power of the active interference device, taking the signal-to-interference-and-noise ratio of the illegal receiver as a constraint, jointly optimizing the RIS phase shift matrix and the beam forming vector of the active interference device, and solving the optimization problem to obtain the minimized transmitting power of the active interference device.
6. The transmit power optimization apparatus of reconfigurable intelligent surface-assisted active interference of claim 5, wherein the computing module is configured to
Constructing a received signal expression of the illegal receiver according to the channel state information, wherein the received signal expression is expressed as follows:
;
in the method, in the process of the invention,ya received signal representing an illegal receiver;P S representing the transmission power of an illegal transmitter;h IR a vector of channel state information representing the reflection units of the RIS to an illegal receiver,,/>representing RIS No. 1nThe channel state information from the reflection units to the illegal receiver; superscriptHRepresents a conjugate transpose;Θphase shift matrix representing RIS, < >>WhereinυFor the auxiliary representation of the phase shift matrix, +.>Diag (·) represents the diagonalization operation,the complex index is represented by the number of indices,jin units of imaginary numbers,θ n representing RIS No. 1nThe phases of the reflecting units, andθ n ∈[0,2π),n∈{1,2,…,N};h SI a channel state information vector representing the illegal transmitter to each reflection unit of the RIS;h SR channel state information representing illegal transmitter to illegal receiver;H JI representing the channel state information matrix between the active interferer to the RIS,wherein->Representing active jammer firstmChannel state information vector from the transmitting antenna to each reflection unit of RIS>,/>Representing active jammer firstmRoot antenna to RISnChannel state information between the individual reflecting units,m∈{1,2,…,M};h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;h JR a channel state information vector representing each antenna of the active jammer to an illegal receiver;wa beamforming vector representing the active interferer;x s information representing the illegal transmitter to the illegal receiver, satisfying +.>WhereinRepresenting the desire;x J representing an interfering signal transmitted by an active jammer to an illegal receiver, satisfying +.>;n 0 Representing additive white gaussian noise at an illegal receiver, obeying a mean of zero, variance of +.>Is recorded as complex Gaussian distribution of (C);
Determining an expression of signal-to-interference-and-noise ratio of the illegal receiver according to the expression of the received signal of the illegal receiver, wherein the expression is expressed as follows:
;
where SINR represents the signal-to-interference-and-noise ratio of an illegal receiver.
7. The transmit power optimization device of reconfigurable intelligent surface-assisted active interference of claim 6, wherein the optimization module comprises a model building unit for building an optimization problem targeting minimizing the transmit power of the active interferer, the optimization problem expressed as:
;
wherein equation (3 a) represents the signal-to-interference-and-noise ratio constraint of an illegal receiver,representing the maximum threshold value allowed by illegal receiver signal-to-interference noise; equation (3 b) represents the phase constraint of each reflection unit of the RIS.
8. The transmit power optimization apparatus of reconfigurable intelligent surface-assisted active interference of claim 7, wherein the optimization module comprises a solution unit for
Decomposing the optimization problem into a sub-problem P1 and a sub-problem P2;
the sub-problem P1 is a phase shift matrix when RISΘFixed time, optimized beamforming vectorwThe corresponding expression is:
;
relaxing a non-convex rank-one constraint through a semi-positive relaxation algorithm, converting the sub-problem P1 into a convex optimization problem, solving the convex optimization problem by adopting a CVX tool kit, and reducing the rank-one constraint by Gaussian randomization aiming at the solved result to obtain the beam forming vector of the optimized active interference device;
The sub-problem P2 is when the beamforming vectorwOptimizing the phase shift matrix of RIS when fixedΘThe corresponding expression is:
;
relaxation variable is introduced by relaxing non-convex rank-one constraint through a semi-positive definite relaxation algorithmαConverting the sub-problem P2 into a convex optimization problem, solving the convex optimization problem by adopting a CVX tool kit, and applying Gaussian randomization reduction rank-one constraint to the solved result to obtain a phase shift matrix of the optimized RIS;
And carrying out alternate iteration on the two sub-problems until the objective function in the optimization problem converges to obtain an RIS phase shift matrix, an active interference beam forming vector and an optimization solution of the transmitting power of the active interference.
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