CN112073102A - Secure beam forming method and device based on IRS - Google Patents
Secure beam forming method and device based on IRS Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
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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
- H04B7/0413—MIMO systems
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- H04B7/043—Power distribution using best eigenmode, e.g. beam forming or beam steering
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- 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
- H04B7/04013—Intelligent reflective surfaces
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- 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
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- 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
- H04B7/086—Weighted combining using weights depending on external parameters, e.g. direction of arrival [DOA], predetermined weights or beamforming
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- H—ELECTRICITY
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- H04W—WIRELESS COMMUNICATION NETWORKS
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Abstract
The invention relates to a safe beam forming method and a device based on IRS, wherein the method comprises the following steps: establishing an SWIPT Internet of things system model based on IRS assistance; jointly optimizing a base station transmitting beam forming matrix, an interference machine covariance matrix and IRS phase shift to construct an optimization problem of maximizing energy acquisition; and converting the non-convex quadratic problem into an equivalent convex problem by using a relaxation variable, a semi-definite relaxation method, an auxiliary variable and a sequence parameter convex approximation method, and providing an alternative iterative optimization algorithm to obtain a feasible solution of the original problem. The invention combines the IRS and the jammer, establishes a secret communication link of the SWIPT internet of things system based on the IRS assistance, jointly optimizes the base station transmitting beam forming matrix, the jammer covariance matrix and the IRS phase shift, improves the communication safety and enhances the system energy acquisition capability.
Description
Technical Field
The invention belongs to the technical field of communication, and particularly relates to an IRS-based security beam forming method and device.
Background
Further research and development of the sixth generation communication technology (6G) can meet the requirement of the Internet of things (IoT) in the future, but the 6G & IoT architecture has a series of problems of resource allocation, sustainable communication, information security and the like among devices. As the rate of information transmission and the number of mobile terminals increase rapidly, security and reliability of information transmission are of particular importance.
Wireless energy-carrying communication transmission (SWIPT) is a radio frequency energy collection technology, that is, wireless information and energy are transmitted simultaneously, and different from wireless power transmission, information is transmitted while energy interaction is performed with a wireless device. The SWIPT technology can simultaneously realize continuous energy supply and effective communication of equipment in the wireless IoT network, and meets the basic requirements of new generation IoT green communication.
The emerging Intelligent Reflective Surface (IRS) technology is considered to be one of the foreground technologies of the B5G/6G communication system. IRS is a uniform array plane integrated by a large number of low cost, sub-wavelength structures and independently controllable passive electromagnetic reflective elements. The intelligent control system has the main function of randomly adjusting the reflection amplitude and the phase of electromagnetic waves by a controller connected with a transmitter in a software programming mode according to communication link information fed back by signal propagation so as to realize intelligent control on a wireless propagation environment. The reflected signal is constructively added with signals of other paths according to the channel parameters, so that the expected signal power of a receiving end can be enhanced, the communication quality is improved, and the purposes of enhancing capacity and expanding the coverage range are achieved. In addition, compared with a traditional active transceiver/relay, the IRS only reflects signals without amplification of transmission power, and the power consumption is small.
The active and passive reciprocal transmission technology based on the IRS is one of the physical layer solutions of the 6G & IoT system, and simultaneously brings new physical layer security. Most of the current work only considers the IRS assisted SWIPT system model or mainly focuses on the traditional secret transmission system, but the current work is not researched as an interference machine technology for effectively improving the secret speed and energy transmission. By using an external interference machine to transmit interference signals to resist eavesdropping, the communication safety is improved, and meanwhile, the energy acquisition capacity of the system is enhanced.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides an IRS-based security beam forming method and device.
The purpose of the invention is realized as follows: an IRS-based security beam forming method includes
S1: establishing an SWIPT Internet of things system model based on IRS assistance;
s2: jointly optimizing a base station transmitting beam forming matrix, an interference machine covariance matrix and IRS phase shift to construct an optimization problem of maximizing energy acquisition;
s3: and converting the non-convex quadratic problem into an equivalent convex problem by using a relaxation variable, a semi-definite relaxation method, an auxiliary variable and a sequence parameter convex approximation method, and providing an alternative iterative optimization algorithm to obtain a feasible solution of the original problem.
The step S1 specifically includes:
an IRS-assisted-based SWIPT Internet of things system is established and comprises a multi-antenna base station, a single-antenna legal IoT device and an interception device (Eve). An Energy Harvester (EHR) is deployed near the IRS to harvest energy from the rf signal. An interferer is used to transmit the interfering signal. Assuming that the base station and the jammer are both configured with M antennas, the IRS is configured with N reflection units.
The step S2 specifically includes:
by jointly optimizing the secure transmit beamforming vector, the interference covariance matrix, and the IRS phase shifts, maximization of energy harvesting of EHR under the constraints of base station transmit power, interference transmit power, and IoT reachable secret rate is achieved, which may be expressed as
Rs≥Rth (1d)
Wherein, (1b) represents a base station transmit power constraint; (1c) representing an interferer transmit power constraint; rthRepresents a privacy rate threshold, and thus (1d) represents an achievable privacy rate constraint; (1e) the representation is the IRS reflective element phase shift constraint.
The step S3 specifically includes:
the obtained problem formula (1) is a non-convex quadratic programming problem with quadratic constraint and is difficult to directly solve. Definition ofAndintroducing a relaxation variable r1> 0 and r2> 0 and auxiliary variablesBy using the idea of the SPCA technology, willThe original non-convex problem is expressed as
rank(V)=1 (2h)
Due to a combination of variables (f)1,f2) There is still coupling to V and the objective function (2a) is still non-convex. A first-order Taylor expansion method and an SDR method are utilized, and an alternative iteration optimization algorithm is provided to obtain the solution of the original problem.
An IRS-based security beam forming apparatus includes
The model establishing module is used for establishing an SWIPT Internet of things system model based on IRS assistance;
the system comprises an equation construction module, a data acquisition module and a data acquisition module, wherein the equation construction module is used for jointly optimizing a base station transmitting beam forming matrix, an interference machine covariance matrix and IRS phase shift and constructing an optimization problem of maximizing energy acquisition;
and the iteration solving module is used for converting the non-convex quadratic problem into an equivalent convex problem by using a relaxation variable, a semi-definite relaxation method, an auxiliary variable and a sequence parameter convex approximation method, and providing an alternative iteration optimization algorithm to obtain a feasible solution of the original problem.
The model building module specifically comprises:
establishing an SWIPT Internet of things system model based on IRS assistance; including a multi-antenna base station, a single-antenna legitimate IoT device, and an eavesdropping device (Eve). An Energy Harvester (EHR) is deployed near the IRS to harvest energy from the rf signal. An interferer is used to transmit the interfering signal. Assuming that the base station and the jammer are both configured with M antennas, the IRS is configured with N reflection units.
The equation constructing module specifically comprises:
jointly optimizing a base station transmitting beam forming matrix, an interference machine covariance matrix and IRS phase shift to construct an optimization problem of maximizing energy acquisition;
Rs≥Rth (3d)
wherein, (3b) represents a base station transmit power constraint; (3c) representing an interferer transmit power constraint; rthRepresents a privacy rate threshold, and (3d) therefore indicates that it is reachableA secret rate constraint; (3e) the representation is the IRS reflective element phase shift constraint.
The iterative solution module specifically includes:
the method is used for converting a non-convex quadratic problem into an equivalent convex problem by utilizing a relaxation variable, a semi-definite relaxation method, an auxiliary variable and a sequence parameter convex approximation method, and provides a feasible solution for obtaining an original problem by an alternative iterative optimization algorithm.
The obtained problem formula (3) is a non-convex quadratic programming problem with quadratic constraint and is difficult to directly solve. Definition ofAndintroducing a relaxation variable r1> 0 and r2> 0 and auxiliary variablesBy using the idea of the SPCA technology, the original non-convex problem is expressed as
rank(V)=1 (4h)
Due to a combination of variables (f)1,f2) There is still coupling to V and the objective function (4a) is still non-convex. A first-order Taylor expansion method and an SDR method are utilized, and an alternative iteration optimization algorithm is provided to obtain the solution of the original problem.
The invention has the beneficial effects that: according to the technical scheme, the IRS-based secure beam forming method and the IRS-based secure beam forming device provided by the invention aim at maximizing the energy collector acquisition power under the restraint of secret rate, transmission power and IRS reflection phase shift, jointly optimize the base station transmission beam forming matrix, the jammer covariance matrix and the IRS phase shift, and maximize the EHR energy acquisition.
Drawings
Fig. 1 is a schematic structural diagram of an IRS-based secure beamforming method according to the present invention.
Fig. 2 is a structural schematic diagram of an IRS-assisted SWIPT IoT system model.
FIG. 3 is a schematic diagram of a system deployment architecture;
FIG. 4 is a graph showing the variation of the energy collected by the EHR with the number of iterations in the present invention for different transmission powers of the base station;
FIG. 5 is a graph of the energy collected by an EHR versus privacy rate for a progressively higher privacy rate in accordance with the present invention;
FIG. 6 is a graph showing the relationship between the energy collected by the EHR and the number N of IRS reflective elements in the present invention when the number N of reflective elements is increased;
FIG. 7 shows that when the transmission power of the base station is gradually increased, the energy collected by the EHR and the transmission power P of the base station in the present inventionBA relationship diagram of (1);
fig. 8 is a schematic structural diagram of an IRS-based secure beamforming apparatus according to the present invention;
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the present invention without making any creative effort, shall fall within the protection scope of the present invention.
The invention provides a secure beam forming method and device based on IRS. Under the restraint of secret rate, transmission power and IRS reflection phase shift, the aim of maximizing the energy collector collected power is taken, the base station transmission beam forming matrix, the interference machine covariance matrix and the IRS phase shift are jointly optimized, and the EHR energy collection is maximized. As shown in fig. 2, the method comprises the steps of:
s1: establishing an SWIPT Internet of things system model based on IRS assistance;
s2: jointly optimizing a base station transmitting beam forming matrix, an interference machine covariance matrix and IRS phase shift to construct an optimization problem of maximizing energy acquisition;
s3: and converting the non-convex quadratic problem into an equivalent convex problem by using a relaxation variable, a semi-definite relaxation method, an auxiliary variable and a sequence parameter convex approximation method, and providing an alternative iterative optimization algorithm to obtain a feasible solution of the original problem.
As shown in fig. 2, the method described in this embodiment is applied to an IRS-assisted-based SWIPT internet of things system. Assuming that the distances from the base station/jammer to the EHR, Eve and IoT are 5m, 90m and 100m respectively, the base station/jammer to the IRS channel is a line-of-sight link, and the distance is set to be 7 m. The path loss L per meter is 30dB, the path loss indexes between the base station/jammer and the IRS and between the IRS and the EHR/Eve/IoT device are both 2.4, and the path loss index between the base station/jammer EHR/Eve/IoT device is 3. Variance of noise σ2-105dBm, collection efficiency ξ 0.5, base station transmission power PBAnd interference machine transmitterPower of transmission PJAre all 15W.
In this embodiment, the specific process of step S1 is as follows:
an IRS-assisted-based SWIPT Internet of things system is established and comprises a multi-antenna base station, a single-antenna legal IoT device and an interception device (Eve). An Energy Harvester (EHR) is deployed near the IRS to harvest energy from the rf signal. An interferer is used to transmit the interfering signal. Assuming that the base station and the jammer are both configured with M antennas, the IRS is configured with N reflection units.
The transmission signal of the base station is
x1=f1s1 (5)
The transmission signal of the jammer is
x2=f2s2 (6)
The received signal of the IoT device is denoted as
Eve's received signal is
The SINR of an IoT device is expressed as
Eve SINR is expressed as
Wherein the content of the first and second substances,andrepresenting the channel gains of the base station to IRS, IoT devices and Eve respectively,andrepresenting the channel gains of jammers to IRS, IoT devices and Eve respectively,andrepresenting the channel gains of the IRS reflected base station signals and jammer signals to IoT devices and Eve, respectively.A diagonal phase shift matrix representing IRS. Principal diagonal line thetanWhere (0, 2 pi) denotes the phase shift of the nth element of the combined incident signal, where N is 1,2, …, N.
The achievable privacy rate of an IoT device may be expressed as
Rs=log2(1+γU)-log2(1+γE) (11)
The EHR is capable of collecting power of
Where ξ is the energy conversion efficiency.Andrespectively, the channel gains of the base station to EHR, the jammer to EHR, and the IRS reflected base station signals and jammer signals to EHR.
In this embodiment, the specific process of step S2 is as follows:
by jointly optimizing the secure transmit beamforming vector, the interference covariance matrix, and the IRS phase shift, the energy collection of the EHR is maximized under the constraints of the base station transmit power, the interference transmit power, and the IoT reachable secret rate. The energy harvesting maximization problem can be expressed as
Rs≥Rth (13d)
Wherein, (13b) represents a base station transmit power constraint; (13c) representing an interferer transmit power constraint; rthRepresents a privacy rate threshold, and thus, (13d) represents an achievable privacy rate constraint; (13e) the representation is the IRS reflective element phase shift constraint. Due to the non-convexity of the objective function and the constraint conditions, the optimization problem (13) is a non-convex quadratic programming problem with quadratic constraint, which is difficult to solve directly, but when f is1,f2And Θ is known, it can be solved efficiently using an alternating iterative algorithm.
In this embodiment, the specific process of step S3 is as follows:
order tov=[uH,1], Substituting optimization problem formula (13), simplifying to obtain optimization problem (14)
s.t.(13b),(13c),(13d),(13e)
Convex approximation is carried out on a non-convex constraint condition (10d) by adopting a relaxation variable and SPCA method, and two relaxation variables r are introduced firstly1> 0 and r2> 0, (13d) can be converted equivalently
log2(r1r2)≥Rth (15a)
Further simplified (15) to obtain
Constraint (16a) is equivalent toFurther conversion to a quadratic function representation of a quadratic curve, e.g.
The constraints (18b) and (18c) are still non-convex, but to the right are related to the variable f1And f2The quadratic form of (a) is divided by a linear convex function form, and the form of the quadratic form divided by a linear function can be equivalently converted into a first-order taylor expansion.
Introduction 1: defining a function f with respect to the variables (w, q)A,a(w,q)
Wherein the content of the first and second substances,and q ≧ a, function fA,a(w, q) is a first order Taylor expansion centered at (w, q)
Next, according to the conclusion of theorem 1, the following (f) is respectively used1,r1) And (f)2,r2) The right half of constraints (18b) and (18c) can be converted to the center point, respectively
σ2(2/r2-r2/r2 2) (22)
In combination with the above equations (21b), (21c) and (22), the inequalities (18b) and (18c) are converted into the following convex constraints, respectively
rank(V)=1 (24e)
(17),(23b),(23c)
In this embodiment, the specific process of step S3 is as follows:
due to a combination of variables (f)1,f2) Still coupled with V, the objective function (24a) is still non-convex. And (3) converting the optimization problem (24) into two subproblems by adopting an alternating iteration algorithm, and solving the subproblems by respectively utilizing an SPCA (shortest path first) method and an SDR (shortest path distance) method. Will be provided withAndat point f1And point f2First order Taylor expansions, respectively denoted as
With (25) and (26), the objective function (21a) can be expressed as
Suppose that given a known vector V, a question (24) can be converted into a sub-question (28)
s.t.(17),(23b),(23c),(24b)
The problem (28) is a second order cone programming problem that can be solved directly by the CVX tool.
Next, a combination variable (f) is given1,f2) And optimizing the vector V. Question (P3) can be converted into question (P5)
s.t.(17),(23b),(23c),(24c),(24d),(24e)
The problem (29) is still not convex due to the rank-one constraint. Adopting SDR algorithm, neglecting the constraint condition of rank (V) 1, the problem (29) is converted into a problem (30)
s.t.(17),(23b),(23c),(24c),(24d)
Problem (30) is an SDP problem that can be solved using a convex optimization solver CVX. However, the relaxation problem (30) does not necessarily yield a rank-one solution, i.e., rank (v) ≠ 1, so the optimal objective function values of the problem (30) serve only the upper bound of the problem (29). Therefore, constructing a rank-one solution from the optimal higher-order solution of the problem (30) requires first passing through V ═ U Σ UHPerforming singular value decomposition, wherein U ═ e1,…,eN+1]Sum ═ diag (λ)1,…,λN+1) Respectively a unitary matrix and a diagonal matrix; then, a sub-optimal solution v of the problem (30) is obtained*=UΣ1/2r, wherein,is based onThe random vector is generated by the random vector generator,representing a circularly symmetric complex Gaussian distribution with a mean of zero and a covariance matrix of IN+1Approximating the value of the objective function of (30) to the maximum value obtained by the optimal v in all r by using an independently generated Gaussian random vector r; finally, v can be represented by
And (4) reducing. The results show that the SDR method plus multiple executions of randomization ensures maximization of the target value of the problem (30).
According to the technical scheme, the invention provides the secure beam forming method based on the IRS, and the maximum EHR energy acquisition can be obtained by jointly optimizing the base station transmitting beam forming matrix, the interference machine covariance matrix and the IRS phase shift under the constraints of the secret rate, the transmitting power and the IRS reflection phase shift.
Fig. 4 shows the variation of the acquired energy of EHR with the number of iterations obtained by the proposed alternating iteration algorithm. As can be seen from the figure, the convergence rate of the submitted alternative iterative algorithm is high, and the algorithm is applied to different PBUnder the condition of (3), the maximum acquisition energy can be obtained only by 5 iterations to achieve convergence.
Figure 5 shows the energy collected by an EHR versus the privacy rate. When M is 8 and N is 40, it can be seen from the figure that as the privacy rate increases, the energy collected by the EHR gradually decreases; comparing the method provided by the embodiment of the invention with the three reference schemes, the energy acquired under the assistance of the IRS is about 2.88dB better than that of the non-IRS scheme, mainly because the IRS provides a new degree of freedom and diversity gain for the system, and the acquired energy of the EHR is improved by optimizing the phase shift of the IRS. The method provided by the embodiment of the invention is superior to the traditional IRS method and the random phase shifting method. This figure demonstrates the effectiveness of the method provided by the embodiments of the present invention, in comparison to a non-Jammer scheme.
FIG. 6 shows the EHR collected energy versus the number of IRS reflective elements, N. Obviously, the method provided by the embodiment of the invention is superior to other reference schemes. Let R bethWhen the number of IRS reflective elements is increased from 10 to 70 at 3bps/Hz, the energy collected by the EHR increases monotonically with the increase in the number of reflective elements N. The main reason is that as the number N of IRS reflection elements increases, the spatial degree of freedom and diversity gain acquired by the IRS will become larger. When N is 10, the energy collected by the non-Jammer scheme is slightly lower than that of the random phase-shift method because the total power of the non-Jammer scheme is lower than that of the random phase-shift scheme, and is better than that of the random phase-shift method at about N15. Compared with a non-IRS scheme, the random phase shift method only obtains a tiny performance gain, and the performance is improved slowly with the increase of N.
FIG. 7 shows the energy collected by the EHR versus the base station transmit power PBThe relationship of (1). As can be seen from the figure, as the base station transmit power increases, the energy collected by the EHR monotonically increases with respect to the base station transmit power. Under the condition that the base station power is the same, the method provided by the embodiment of the invention is about 1.74dB better than the non-Jammer scheme. As can be seen from comparative analysis, the IRS-assisted system brings the gain of energy acquisition performance superior to that of a non-IRS scheme, and the scheme provided by the invention is remarkably superior to a random phase shift method. In addition, with PBAdditionally, the performance difference between the IRS and non-IRS schemes and the performance difference between the IRS phase shift optimization scheme and the random phase shift scheme are gradually increased because optimizing the IRS phase shift directionally enhances the desired reflected signal and thus increases the spatial freedom and diversity gain brought by the IRS.
Fig. 8 is a schematic structural diagram of an IRS-based secure beamforming apparatus according to the present invention;
the model establishing module is used for establishing an SWIPT Internet of things system model based on IRS assistance;
the system comprises an equation construction module, a data acquisition module and a data acquisition module, wherein the equation construction module is used for jointly optimizing a base station transmitting beam forming matrix, an interference machine covariance matrix and IRS phase shift and constructing an optimization problem of maximizing energy acquisition;
and the iteration solving module is used for converting the non-convex quadratic problem into an equivalent convex problem by using a relaxation variable, a semi-definite relaxation method, an auxiliary variable and a sequence parameter convex approximation method, and providing an alternative iteration optimization algorithm to obtain a feasible solution of the original problem.
In this embodiment, the model building module specifically includes:
the model establishing module is used for establishing an SWIPT Internet of things system model based on IRS assistance; including a multi-antenna base station, a single-antenna legitimate IoT device, and an eavesdropping device (Eve). An Energy Harvester (EHR) is deployed near the IRS to harvest energy from the rf signal. An interferer is used to transmit the interfering signal. Assuming that the base station and the jammer are both configured with M antennas, the IRS is configured with N reflection units.
In this embodiment, the equation constructing module specifically includes:
the system comprises an equation construction module, a data acquisition module and a data acquisition module, wherein the equation construction module is used for jointly optimizing a base station transmitting beam forming matrix, an interference machine covariance matrix and IRS phase shift and constructing an optimization problem of maximizing energy acquisition;
Rs≥Rth (3d)
wherein, (3b) represents a base station transmit power constraint; (3c) representing an interferer transmit power constraint; rthRepresents a privacy rate threshold, and thus (3d) represents an achievable privacy rate constraint; (3e) the representation is the IRS reflective element phase shift constraint.
In this embodiment, the iterative solution module specifically includes:
and the iteration processing module is used for converting the non-convex quadratic problem into an equivalent convex problem by using a relaxation variable, a semi-definite relaxation method, an auxiliary variable and a sequence parameter convex approximation method, and providing an alternative iteration optimization algorithm to obtain a feasible solution of the original problem.
The obtained problem formula (3) is a non-convex quadratic programming problem with quadratic constraint and is difficult to directly solve. Definition ofAndintroducing a relaxation variable r1> 0 and r2> 0 and auxiliary variablesBy using the idea of the SPCA technology, the original non-convex problem is expressed as
rank(V)=1 (4h)
Due to a combination of variables (f)1,f2) There is still coupling to V and the objective function (4a) is still non-convex. A first-order Taylor expansion method and an SDR method are utilized, and an alternative iteration optimization algorithm is provided to obtain the solution of the original problem.
Claims (8)
1. An IRS-based security beamforming method, comprising:
s1: establishing an SWIPT Internet of things system model based on IRS assistance;
s2: jointly optimizing a base station transmitting beam forming matrix, an interference machine covariance matrix and IRS phase shift to construct an optimization problem of maximizing energy acquisition;
s3: and converting the non-convex quadratic problem into an equivalent convex problem by using a relaxation variable, a semi-definite relaxation method, an auxiliary variable and a sequence parameter convex approximation method, and providing an alternative iterative optimization algorithm to obtain a feasible solution of the original problem.
2. The IRS-based secure beamforming method according to claim 1, wherein the step S1 specifically includes:
an IRS-assisted-based SWIPT Internet of things system is established and comprises a multi-antenna base station, a single-antenna legal IoT device and an interception device (Eve). An Energy Harvester (EHR) is deployed near the IRS to harvest energy from the rf signal. An interferer is used to transmit the interfering signal. Assuming that the base station and the jammer are both configured with M antennas, the IRS is configured with N reflection units.
3. The IRS-based secure beamforming method according to claim 1, wherein the step S2 specifically includes:
by jointly optimizing the secure transmit beamforming vector, the interference covariance matrix, and the IRS phase shifts, maximization of energy harvesting of EHR under the constraints of base station transmit power, interference transmit power, and IoT reachable secret rate is achieved, which may be expressed as
Rs≥Rth (1d)
Wherein, (1b) represents a base station transmit power constraint; (1c) representing an interferer transmit power constraint; rthRepresents a privacy rate threshold, and thus (1d) represents an achievable privacy rate constraint; (1e) the representation is the IRS reflective element phase shift constraint.
4. The IRS-based secure beamforming method according to claim 1, wherein the step S3 specifically includes:
the obtained problem formula (1) is a non-convex quadratic programming problem with quadratic constraint and is difficult to directly solve. Definition ofAndintroducing a relaxation variable r1>0 and r2>0 and auxiliary variablesBy using the idea of the SPCA technology, the original non-convex problem is expressed as
V≥0 (2g)
rank(V)=1 (2h)
Due to a combination of variables (f)1,f2) There is still coupling to V and the objective function (2a) is still non-convex. A first-order Taylor expansion method and an SDR method are utilized, and an alternative iteration optimization algorithm is provided to obtain the solution of the original problem.
5. An IRS-based security beamforming apparatus, comprising:
the model establishing module is used for establishing an SWIPT Internet of things system model based on IRS assistance;
the system comprises an equation construction module, a data acquisition module and a data acquisition module, wherein the equation construction module is used for jointly optimizing a base station transmitting beam forming matrix, an interference machine covariance matrix and IRS phase shift and constructing an optimization problem of maximizing energy acquisition;
and the iteration solving module is used for converting the non-convex quadratic problem into an equivalent convex problem by using a relaxation variable, a semi-definite relaxation method, an auxiliary variable and a sequence parameter convex approximation method, and providing an alternative iteration optimization algorithm to obtain a feasible solution of the original problem.
6. The IRS-based secure beamforming apparatus according to claim 5, wherein the model building module specifically comprises:
the model establishing module is used for establishing an SWIPT Internet of things system model based on IRS assistance; including a multi-antenna base station, a single-antenna legitimate IoT device, and an eavesdropping device (Eve). An Energy Harvester (EHR) is deployed near the IRS to harvest energy from the rf signal. An interferer is used to transmit the interfering signal. Assuming that the base station and the jammer are both configured with M antennas, the IRS is configured with N reflection units.
7. The IRS-based secure beamforming apparatus according to claim 5, wherein the equation construction module specifically comprises:
the system comprises an equation construction module, a data acquisition module and a data acquisition module, wherein the equation construction module is used for jointly optimizing a base station transmitting beam forming matrix, an interference machine covariance matrix and IRS phase shift and constructing an optimization problem of maximizing energy acquisition;
Rs≥Rth (3d)
wherein, (3b) represents a base station transmit power constraint; (3c) representing an interferer transmit power constraint; rthRepresents a privacy rate threshold, and thus (3d) represents an achievable privacy rate constraint; (3e) the representation is the IRS reflective element phase shift constraint.
8. The IRS-based secure beamforming apparatus according to claim 5, wherein the iterative solution module specifically comprises:
and the iteration processing module is used for converting the non-convex quadratic problem into an equivalent convex problem by using a relaxation variable, a semi-definite relaxation method, an auxiliary variable and a sequence parameter convex approximation method, and providing an alternative iteration optimization algorithm to obtain a feasible solution of the original problem.
The obtained problem formula (3) is a non-convex quadratic programming problem with quadratic constraint and is difficult to directly solve. Definition ofAndintroducing a relaxation variable r1>0 and r2>0 and auxiliary variablesUtilizing the idea of SPCA technology to search the original non-convex questionThe question is expressed as
V≥0 (4g)
rank(V)=1 (4h)
Due to a combination of variables (f)1,f2) There is still coupling to V and the objective function (4a) is still non-convex. A first-order Taylor expansion method and an SDR method are utilized, and an alternative iteration optimization algorithm is provided to obtain the solution of the original problem.
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