Air-ground anti-interference transmission game method and system based on active intelligent metasurface

Abstract

The invention discloses an air-ground anti-interference transmission game method and system based on an active intelligent metasurface, and belongs to the technical field of wireless communication, and the method specifically comprises the steps: firstly constructing a communication scene in which an intelligent jammer, a legal user, an active RIS and an unmanned aerial vehicle air base station exist; a game model is constructed based on a Stackelberg game, equilibrium analysis is carried out, and the anti-interference performance of system transmission is optimized by making a competition strategy between an interferer and a legal system; constructing an upper-layer optimization problem and a lower-layer optimization problem in the game model by respectively maximizing the interference utility function and the legal utility function; solving the lower-layer optimization problem model to obtain an interference strategy of the jammer; solving the upper-layer optimization problem model to obtain a secure transmission strategy of the legal system; according to the invention, the signal transmission performance of the legal system is improved when the wireless communication system faces the intelligent interference attack.

Description

Background Art

[0002] In the digital age, the popularity and dependence of wireless communication networks are constantly increasing, but the accompanying network security threats are becoming increasingly severe. With the rapid development of technology, traditional malicious interference has evolved into more advanced intelligent interference. Intelligent interference not only inherits the characteristics of traditional interference but also, through capabilities such as real-time situation awareness, learning, and decision-making, adapts to different electromagnetic environments and deals with different interference targets. With its powerful cognitive ability, this interference uses multi-level and multi-dimensional interference strategies to accurately, efficiently, and covertly interfere with the target node communication system.

[0003] Reconfigurable Intelligent Surface (RIS) technology, as an emerging electromagnetic wave regulation technology, regulates various physical characteristics of electromagnetic waves through digital coding methods, demonstrating its application potential in multiple fields such as communication, sensing, and imaging. The development of RIS technology provides a new idea for anti-interference in communication networks. However, the reflection channel introduced by passive RIS faces serious multiplicative fading problems, and this "round-trip loss" attenuation greatly limits the potential of RIS. In contrast, Active RIS can significantly improve system capacity and communication distance by actively amplifying signals, especially in atypical communication scenarios where the direct link is weak or blocked.

[0004] The Stackelberg game model, as a hierarchical decision-making model, was first proposed by economist Heinrich von Stackelberg to describe the competitive relationship between leaders and followers in the economic market. In this model, the leader makes a decision first, and the follower then responds based on the leader's decision. In the field of anti-interference in communication networks, the Stackelberg game model can be used to describe the dynamic game process between legitimate users (leaders) and interferers (followers). By establishing a suitable game model, the behavior of interferers can be effectively analyzed and predicted, thereby providing effective anti-interference strategies for legitimate users. Summary of the Invention

[0005] The technical problem to be solved by the present invention is to provide an air-ground anti-interference transmission game method and system based on an active intelligent surface in view of the deficiencies in the above-mentioned prior art. Based on the potential of Active RIS in physical layer communication security, the Stackelberg hierarchical game is used to describe the dynamic game process between legitimate users (leaders) and interferers (followers) and formulate corresponding strategies to solve the technical problem of difficult response to intelligent interference in wireless communication scenarios.

[0006] The present invention adopts the following technical solutions:

[0007] An air - ground anti - interference transmission game method based on an active intelligent metasurface, comprising the following steps:

[0008] Construct a communication scenario including an intelligent interferer, a legitimate user, an active RIS, and a drone air - base station;

[0009] Determine the received signal and the signal - to - interference - plus - noise ratio at the receiver; construct a game model based on the Stackelberg game to obtain the interferer's utility function and the legitimate system's utility function respectively;

[0010] According to the obtained interferer's utility function, construct and solve the lower - layer optimization problem in the game model with the goal of maximizing the interferer's utility function to obtain the interference strategy of the interferer;

[0011] According to the obtained legitimate system's utility function, construct and solve the upper - layer optimization problem in the game model with the goal of maximizing the legitimate utility function to obtain the secure transmission strategy of the legitimate system.

[0012] Preferably, in the communication scenario, the number of antennas of the legitimate sender S, the receiver D, and the interferer J are N S , N D , N J respectively. The legitimate signal in the scenario is transmitted by a drone air - base station at a fixed position, and an ARIS with N reflection elements is deployed to assist the system in anti - interference so as to maximize the receiving effect;

[0013] The channels from the legitimate sender S to the ARIS, from the legitimate sender S to the receiver D, from the interferer J to the ARIS, from the interferer J to the receiver D, and from the ARIS to the receiver D are respectively: Among them, is a symbol in the complex number field, N is the number of reflection elements, N S is the number of antennas of the legitimate transmitting end, N D is the number of antennas of the receiving end, N J is the number of antennas of the interfering transmitting end;

[0014] The diagonal phase - shift matrix of the ARIS is: Θ = diag(θ), where max{α 1 , α 2 , α 3 ,....., α n} ≤ α max , α 1 , α 2 , α 3 ,...., α n is, is, and T is the transpose operation.

[0015] Preferably, the received signal and received signal-to-dry ratio at the receiver D are respectively:

[0016]

[0017] where w D is the received beamforming vector at the receiver D, x S , x J are the transmitted signals at the transmitter and the interferer respectively, w S , w J are the transmitted beamforming vectors at the transmitter and the interferer respectively, n R , n D represent the background noise vectors at the ARIS and the receiver D respectively, is the conjugate transpose of the received beamforming vector at the receiver D, y D is the signal vector received at the receiver, is the equivalent channel from the legitimate sender S to the receiver D, is the equivalent channel from the interferer J to the receiver D, H RD is the channel from the RIS to the receiver D, P J is the interference transmission power, P S is the legitimate transmission power, Θ is the diagonal phase shift matrix of the ARIS, is the background noise at the ARIS.

[0018] Preferably, the interferer utility function and the legitimate system utility function are respectively:

[0019] U J (w J , P J ) = -SINR - C J P J

[0020] U L (w D , w S , Θ, P S ) = SINR - C S P S

[0021] where C S , C J are linear coefficients, w D is the received beamforming vector at the receiver D, w S , w J are the transmitted beamforming vectors at the transmitter and the interferer respectively, U L is the legitimate utility function, U J is the interferer utility function, P Sis the legal transmission power, P J is the interfering transmission power, Θ is the diagonal phase shift matrix of ARIS, and SINR is the received signal-to-interference-plus-noise ratio.

[0022] Preferably, the lower-layer optimization problem in the game model is constructed and solved with the goal of maximizing the interference utility function to obtain the interference strategy of the jammer, specifically:

[0023] Fix P J , optimize w J ; From the maximum ratio transmission MRT, we get which is used to solve the upper-layer optimization problem in the game model;

[0024] Fix w J , optimize P J ;

[0025] Derive the optimal interference power by setting the first derivative of the utility function to zero Then obtain the interference strategy of the jammer with P J as the transmission power and w J as the transmission beamforming vector.

[0026] Preferably, the optimal interference power

[0027]

[0028] where is the optimal interference power, P S is the legal transmission power, is the conjugate transpose of the receive beamforming vector at the receiver D, is the equivalent channel from the legitimate sender S to the receiver D, w S is the transmit beamforming vector at the transmitter, is the background noise at ARIS, H RD is the channel from RIS to the receiver D, Θ is the diagonal phase shift matrix of ARIS, is the background noise at the receiver D, C J is the cost coefficient in the interference utility function, is the equivalent channel from the interferer J to the receiver D, is the maximum power limit of the interfering transmission.

[0029] Preferably, maximize the utility function of the jammer:

[0030]

[0031] s.t.C1:||w J || 2 =1

[0032] C2:

[0033] Among them, U J is the utility function of the jammer, w J is the transmit beamforming vector at the jamming location, P J is the jamming transmit power, SINR is the received signal-to-interference-plus-noise ratio, C J is the cost coefficient in the jamming utility function, is the maximum power limit of the jamming transmission.

[0034] Preferably, the upper-layer optimization problem in the game model is constructed and solved with the goal of maximizing the legitimate utility function to obtain the secure transmission strategy of the legitimate system, specifically:

[0035] Fix w D , w S , Θ, and optimize P S , P J ; Introduce an auxiliary variable Convert the original problem into a convex optimization problem, and then use the CVX toolbox to solve for u, P J , and then from P S = u 2 Solve for P S to obtain the power allocation for legitimate transmission;

[0036] Fix P S , P J , w S , Θ, and optimize w D ; Convert the original objective function into a generalized Rayleigh entropy and generalized eigenvalue problem, and solve to obtain

[0037] Fix P S , P J , w D , Θ, and optimize w S ; Obtain from the maximum ratio transmission (MRT) theory

[0038] Fix P S , P J , w S , w D , and optimize Θ;

[0039] Integrate each sub-problem in a BCD framework to achieve the overall optimization of the original problem and obtain the optimal strategy for active metasurface-assisted secure transmission;

[0040] The overall optimization of the original problem is as follows:

[0041] U L(P S (t-1) , w S (t-1) , w D (t-1) , Θ (t-1) ) ≤ U L (P S (t) , w S (t-1) , w D (t-1) , Θ (t-1) ) ≤ U L (P S (t) , w S (t) , w D (t-1) , Θ (t-1) )

[0042] ≤ U L (P S (t) , w S (t) , w D (t) , Θ (t-1) ) ≤ U L (P S (t) , w S (t) , w D (t) , Θ (t) )

[0043] Among them, U L is a legal utility function, P S (t-1) is the legal transmit power in the (t - 1)-th iteration, w S (t-1) is the transmit beamforming vector in the (t - 1)-th iteration, w D (t-1) is the receive beamforming vector in the (t - 1)-th iteration, Θ (t-1) is the diagonal phase shift matrix of the ARIS in the (t - 1)-th iteration, P S (t) is the legal transmit power in the t-th iteration, w S (t) is the transmit beamforming vector in the t-th iteration, w D (t) is the receive beamforming vector in the t-th iteration, Θ (t) is the diagonal phase shift matrix of the ARIS in the t-th iteration.

[0044] Preferably, the utility function of the legitimate system is maximized:

[0045]

[0046] s.t.C3:

[0047] C4:

[0048] C5:||w D || 2 =1,||w S || 2 =1,||w J || 2 =1

[0049] C6:

[0050] C7:

[0051] where w D is the receive beamforming vector at the receiver D, w S is the transmit beamforming vector at the transmitter, P S is the legitimate transmit power, Θ is the diagonal phase shift matrix of the ARIS, U L is the legitimate utility function, is the conjugate transpose of the receive beamforming vector at the receiver D, is the equivalent channel from the legitimate sender S to the receiver D, is the equivalent channel from the interferer J to the receiver D, w J is the transmit beamforming vector of the interferer J, is the background noise at the ARIS, H RD is the channel from the RIS to the receiver D, is the background noise at the receiver D, C S is the cost coefficient in the legitimate utility function, is the maximum power limit for legitimate transmission, H SR is the channel from the legitimate sender S to the ARIS, H JR is the channel from the interferer J to the ARIS, is the maximum power limit of the ARIS, α max is the maximum amplification factor limit of the ARIS, is the set of natural numbers, is the optimal transmit beamforming vector of the interferer J, is the optimal interference power, U J is the interference utility function.

[0052] In a second aspect, an air-ground anti-interference transmission game system based on an active intelligent metasurface provided by an embodiment of the present invention includes:

[0053] A scenario module that constructs a communication scenario including an intelligent interferer, a legitimate user, an active RIS, and an unmanned aerial vehicle (UAV) air base;

[0054] A function module that determines the received signal and the signal-to-interference-plus-noise ratio (SINR) expression at the receiver; constructs a game model based on the Stackelberg game to obtain the interferer's utility function and the legitimate system's utility function respectively;

[0055] An interference module that, according to the obtained interferer's utility function, constructs and solves the lower-layer optimization problem in the game model with the goal of maximizing the interference utility function to obtain the interference strategy of the interferer;

[0056] A transmission module that, according to the obtained legitimate system's utility function, constructs and solves the upper-layer optimization problem in the game model with the goal of maximizing the legitimate utility function to obtain the secure transmission strategy of the legitimate system.

[0057] In a third aspect, a computer device includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, the steps of the above-mentioned air-ground anti-interference transmission game method based on an active intelligent metasurface are implemented.

[0058] In a fourth aspect, an embodiment of the present invention provides a computer-readable storage medium including a computer program. When the computer program is executed by a processor, the steps of the above-mentioned air-ground anti-interference transmission game method based on an active intelligent metasurface are implemented.

[0059] In a fifth aspect, a chip includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, the steps of the above-mentioned air-ground anti-interference transmission game method based on an active intelligent metasurface are implemented.

[0060] In a sixth aspect, an embodiment of the present invention provides an electronic device including a computer program. When the computer program is executed by the electronic device, the steps of the above-mentioned air-ground anti-interference transmission game method based on an active intelligent metasurface are implemented.

[0061] Compared with the prior art, the present invention has at least the following beneficial effects:

[0062] An air-ground anti-jamming transmission game method based on active intelligent metasurface considers the communication scenario with intelligent jamming. An active RIS is deployed in the legitimate communication link to improve the anti-jamming performance of the system, and the Stackelberg game framework is used to formulate the optimal strategy for our legitimate party to deal with intelligent jamming to improve the physical layer communication security. From the perspective of the optimization problem of this scenario, malicious nodes of intelligent jamming use their sensing ability to detect before jamming and dynamically change their jamming strategies to achieve more effective attacks. It is difficult for legitimate users to effectively resist jamming attacks no matter how they defend. Based on this, an anti-jamming framework based on Stackelberg game is developed. At the same time, an active RIS is deployed to increase the effective signal while weakening the impact of the jamming signal. The Stackelberg hierarchical game model is used to describe the strategic interaction between the leader (legitimate user) and the follower (jammer). By formulating the competition strategy between the jammer and the legitimate system, the anti-jamming performance of signal transmission is optimized. The simulation results show that this method enables legitimate users to utilize the first-mover advantage in the hierarchical game to improve the anti-jamming performance and enhance secure communication.

[0063] Furthermore, a communication scenario with intelligent jammers, legitimate users, active RIS, and an unmanned aerial vehicle (UAV) aerial base station is designed, which conforms to the general scenario characteristics in actual wireless communication and is easy to be extended to real communication scenarios. This design also fully reflects the complexity and randomness of the communication scenario and improves the adaptability of the scheme to actual similar scenarios.

[0064] Furthermore, through analysis and derivation, the expressions of the received signal and signal-to-interference-plus-noise ratio (SINR) at the receiver are determined, laying the necessary conditions for calculating the security rate and providing a theoretical basis for the subsequent problem model representation.

[0065] Furthermore, a game model is constructed based on Stackelberg game and equilibrium analysis is carried out to obtain the utility function expressions of the jammer and the legitimate system respectively. The obtained SINR can be regarded as the reward for legitimate transmission, and the corresponding consumed power is regarded as the corresponding cost. The opposite side of the legitimate user is taken as the reward for the jammer, and the power consumed by the jammer for jamming attacks is taken as the cost. The model is modeled in a simple form to provide a theoretical basis for the subsequent optimization problem model representation.

[0066] Furthermore, the lower-layer optimization problem in the game model is constructed with the goal of maximizing the jammer's utility function, and the upper-layer optimization problem in the game model is constructed with the goal of maximizing the legitimate user's utility function. The problem-solving goal is clearly defined in a concise form, and the optimization variables and constraints are clarified, providing favorable conditions for subsequent problem-solving.

[0067] Furthermore, solve the lower-layer optimization problem model to obtain the interference strategy of the jammer; solve the upper-layer optimization problem model to obtain the secure transmission strategy of the legitimate system; when solving these two optimization problems, based on backward induction, first solve the lower-layer problem related to interference, while assuming that the strategy at the legitimate user side is fixed. For the deployed intelligent jammer, it can change its own strategy accordingly according to the transmission of the legitimate system. However, in the hierarchical game here, it exists as a follower, so its transmission strategy is calculated first. Then, use its strategy as the known content of the upper-layer problem to solve the upper-layer problem. Under this setting, the leader, that is, the legitimate party, can utilize the so-called first-mover advantage to be in a favorable position in the competition, thereby improving security.

[0068] It can be understood that the beneficial effects of the second to sixth aspects above can be referred to the relevant descriptions in the first aspect above, and will not be elaborated here.

[0069] In summary, the present invention applies the Stackelberg hierarchical game model to the communication scenario with intelligent interference. To resist this intelligent interference attack, the legitimate user carefully determines its transmission power to balance between the obtained SINR and the incurred cost; at the same time, the jammer needs to jointly optimize detection and interference to achieve the maximum deterioration; the security competition is described as a hierarchical game, where the legitimate user is the leader and the interferer is the follower; based on the game equilibrium analysis, the strategy designs of both parties are proposed; the simulation results show that the legitimate user utilizes the first-mover advantage in the hierarchical game to improve secure communication.

[0070] The technical solutions of the present invention will be further described in detail below through the accompanying drawings and embodiments. Description of the Drawings

[0071] To more clearly illustrate the technical solutions of the embodiments of the present application, the accompanying drawings required for use in the embodiments of the present application will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of the present application. For those of ordinary skill in the art, other drawings can be obtained based on these drawings without creative efforts.

[0072] Figure 1 Wireless transmission system model diagram constructed for the present invention;

[0073] Figure 2 Flowchart of the present invention;

[0074] Figure 3 Influence diagram of the price coefficient on the interference utility;

[0075] Figure 4 Influence diagram of the price coefficient on the legitimate utility;

[0076] Figure 5 Schematic diagram of a computer device provided by an embodiment of the present invention;

[0077] Figure 6 Block diagram of an electronic device provided by the present invention according to an embodiment.

[0078] Wherein, 60. Computer device; 61. Processor; 62. Memory; 63. Computer program; 600. Electronic device; 610. Processing unit; 620. Storage unit; 6201. Random access storage unit; 6202. Cache storage unit; 6203. Read-only storage unit; 6204. Program / utilities; 6205. Program module; 630. Bus; 640. Display unit; 650. Input / output interface; 660. Network adapter; 700. External device. Detailed implementation manners

[0079] Next, the technical solutions in the embodiments of the present invention will be clearly and completely described in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, rather than all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

[0080] In the description of the present invention, it should be understood that the terms "including" and "comprising" indicate the presence of the described features, wholes, steps, operations, elements, and / or components, but do not exclude the presence or addition of one or more other features, wholes, steps, operations, elements, components, and / or their combinations.

[0081] It should also be understood that the terms used in the specification of the present invention are only for the purpose of describing specific embodiments and are not intended to limit the present invention. As used in the specification of the present invention and the appended claims, unless the context clearly indicates otherwise, the singular forms "a", "an", and "the" are intended to include the plural forms.

[0082] It should be further understood that the term " / and" used in the specification of the present invention and the appended claims refers to any combination and all possible combinations of one or more of the related listed items, and includes these combinations. For example, A and / or B can represent: the case where A exists alone, the case where A and B exist simultaneously, and the case where B exists alone. In addition, the character " / " in the present invention generally represents an "or" relationship between the front and back related objects.

[0083] It should be understood that although terms such as first, second, and third may be used in the embodiments of the present invention to describe preset ranges and the like, these preset ranges should not be limited to these terms. These terms are only used to distinguish the preset ranges from each other. For example, without departing from the scope of the embodiments of the present invention, the first preset range may also be referred to as the second preset range, and similarly, the second preset range may also be referred to as the first preset range.

[0084] Depending on the context, the word "if" as used herein can be interpreted as "when" or "while" or "in response to determining" or "in response to detecting". Similarly, depending on the context, the phrase "if determined" or "if detected (stated condition or event)" can be interpreted as "when determined" or "in response to determining" or "when detected (stated condition or event)" or "in response to detecting (stated condition or event)".

[0085] Schematic diagrams of various structures according to the disclosed embodiments of the present invention are shown in the accompanying drawings. These figures are not drawn to scale, where for the purpose of clear expression, some details are enlarged and some details may be omitted. The shapes of various regions and layers shown in the figures and their relative sizes and positional relationships are merely exemplary, and in practice, there may be deviations due to manufacturing tolerances or technical limitations, and those skilled in the art can design regions / layers with different shapes, sizes, and relative positions according to actual needs.

[0086] The present invention provides an air-ground anti-jamming transmission game method based on an active intelligent metasurface. Based on the potential of active RIS in physical layer communication security, a communication scenario with an intelligent jammer, a legitimate user, an active RIS, and a drone aerial base station is first constructed; a game model is constructed based on the Stackelberg game and equilibrium analysis is performed. By formulating the competition strategies between the jammer and the legitimate system, the anti-jamming performance of system transmission is optimized; the upper and lower layer optimization problems in the game model are constructed by maximizing the interference utility function and the legitimate utility function respectively; the lower layer optimization problem model is solved to obtain the interference strategy of the jammer; the upper layer optimization problem model is solved to obtain the secure transmission strategy of the legitimate system; the present invention realizes the improvement of the signal transmission performance of the legitimate system when the wireless communication system faces intelligent jamming attacks.

[0087] Embodiment 1

[0088] Please refer to Figure 2 , an air-ground anti-jamming transmission game method based on an active intelligent metasurface of the present invention includes the following steps:

[0089] S1. Construct a communication scenario including an intelligent jammer, a legitimate user, an active RIS, and a drone aerial base station;

[0090] Please refer to Figure 1 , the wireless communication system model diagram constructed in the present invention considers a secure communication system scenario in which an active intelligent metasurface assists a legitimate system to resist interference. In this scenario, the legitimate sender, receiver, and interferer are represented by S, D, and J respectively, and the number of their antennas is N S , N D , N J , and the legitimate signal in the scenario is transmitted by an airborne base station of a drone at a fixed position, and an ARIS with N reflection elements is deployed to assist the system in resisting interference so as to maximize the reception effect.

[0091] The channels from S to ARIS, S to D, J to ARIS, J to D, and ARIS to D are respectively represented as:

[0092] The diagonal phase shift matrix of ARIS is defined as: Θ = diag(θ), where max{α 1 , α 2 , α 3 ,....., α n} ≤ α max .

[0093] It is assumed that the channel state information (CSI) of the involved channels is completely known at the base station.

[0094] S2. After analysis and derivation, expressions such as the received signal and signal-to-interference-plus-noise ratio at the receiver are determined;

[0095] The received signal at the receiver D is:

[0096] y D = (H RD ΘH SR + H SD )w S x S + (H RD ΘH JR + H JD )w J x J + H RD Θn R + n D

[0097] where, x S , x J are the transmitted signals at the transmitter and the interferer respectively, are the transmitted beamforming vectors at the transmitter and the interferer respectively, Denote the background noise vectors at ARIS and receiver D respectively, with powers and

[0098] For simplifying the formula, make the following equivalent substitutions:

[0099]

[0100] Then the actual received signal at D is:

[0101]

[0102] where is the received beamforming vector at D.

[0103] The received signal-to-interference-plus-noise ratio at D is:

[0104]

[0105] Since the beamforming vector here does not change the signal magnitude,

[0106] S3. Construct a game model based on Stackelberg game and conduct equilibrium analysis to obtain the utility function expressions of the interferer and the legitimate system respectively;

[0107] Regarding the obtained SINR as the reward for legitimate transmission and the corresponding consumed power as the corresponding cost. Therefore, combining the reward and cost of the receiver as the basic utility function of the legitimate user:

[0108] U L (w D ,w S ,Θ,P S )=SINR - C S P S

[0109] where C S is the linear coefficient, w D is the received beamforming vector at receiver D, w S is the transmit beamforming vector at the transmitter, U L is the legitimate utility function, P S is the legitimate transmit power, and Θ is the diagonal phase shift matrix of ARIS.

[0110] Similarly, the reward of the interferer can be considered as the opposite of the legitimate user, and the power consumed by the jammer for interference attack is taken as the cost. Therefore, the basic utility function of the jammer can be given as:

[0111] U J (wJ , P J ) = -SINR - C J P J

[0112] S4. Based on the expression obtained in step S3, construct the lower-layer optimization problem in the game model with the goal of maximizing the interference utility function;

[0113] Determine the goal of the lower-layer follower problem related to interference as maximizing the utility function of the jammer:

[0114]

[0115] s.t. C1: ||w J || 2 = 1

[0116] C2:

[0117] Among them, C1 indicates that the power of the transmit beam vector is 1; C2 indicates the maximum power limit of interference transmission.

[0118] S5. Solve the lower-layer optimization problem model to obtain the interference strategy of the jammer;

[0119] Divide the optimization problem into the following two sub-problems to solve, specifically as follows:

[0120] S501. Fix P J , and optimize w J ; From the maximum ratio transmission MRT, we get:

[0121]

[0122] S502. Fix w J , and optimize P J ;

[0123] S503. Derive the optimal interference power by making the first derivative of the utility function equal to zero;

[0124] Optimal interference power

[0125]

[0126] S6. Based on the expression obtained in step S3, construct the upper-layer optimization problem in the game model with the goal of maximizing the legitimate utility function;

[0127] Determine the goal of the upper-layer leader problem related to the legitimate system as maximizing the utility function of the legitimate system:

[0128]

[0129] s.t. C3:

[0130] C4:

[0131] C5: ||w D || 2 =1, ||w S || 2 =1, ||w J || 2 =1

[0132] C6:

[0133] C7:

[0134] Among them, C3 is the constraint on the maximum BS transmission power; C4 is the maximum power limit at the ARIS; C5 means that the power of the receiving or transmitting vector of each device is 1; C6 means that the modulus value of any element in the phase shift matrix does not exceed α max ; C7 is the interference strategy of the interferer that the legal system preferentially obtains as the leader in the hierarchical game.

[0135] S7. Solve the upper-layer optimization problem model to obtain the secure transmission strategy of the legal system.

[0136] Using the block coordinate descent method, the optimization problem is divided into four sub-problems for solution, that is, to solve for P S and P J , w D , w S , Θ respectively, as follows:[[]]

[0137] S701. Fix w D , w S , Θ, and optimize P S , P J ; Introduce the auxiliary variable to transform the original problem into a convex optimization problem, and then use the CVX toolbox to solve for u, P J , and then from P S = u 2 solve for P S , so as to obtain the power allocation for legal transmission;

[0138] S702. Fix P S , P J , w S , Θ, and optimize w D ; Transform the original objective function into a generalized Rayleigh entropy and generalized eigenvalue problem, and the solution is:[[]]

[0139]

[0140] S703. Fix P S , P J , w D , Θ, optimize w S ; Obtained from the Maximum Ratio Transmission (MRT) theory:

[0141]

[0142] S704. Fix P S , P J , w S , w D , optimize Θ;

[0143] Here, we first use the method of introducing auxiliary variables to substitute some relatively complex terms. For example: use a joint convex function in the form of to substitute the difficult-to-handle fraction;

[0144] Then, we make a sequential convex approximation (SCA) for the non-convex terms. For example: the function form is similar to x 2 , etc. We approximate the original formula with the first-order Taylor expansion to solve the optimization problem and the difficult-to-solve problem caused by the non-convexity of the relevant constraints.

[0145] The original problem is divided into four sub-problems, and each of them is simplified and a reasonable optimization method is adopted. Subsequently, the sub-problems are integrated together in a BCD framework to achieve the overall optimization of the original problem. Then we have:

[0146] U L (P S (t-1) , w S (t-1) , w D (t-1) , Θ (t-1) ) ≤ U L (P S (t) , w S (t-1) , w D (t-1) , Θ (t-1) ) ≤ U L (P S (t) , w S (t) , wD (t-1) , Θ (t-1) )

[0147] ≤ U L (P S (t) , w S (t) , w D (t) , Θ (t-1) ) ≤ U L (P S (t) , w S (t) , w D (t) , Θ (t) )

[0148] Through such an iterative approach, the optimal strategy for active metasurface-assisted secure transmission can be obtained.

[0149] Those skilled in the art can understand that various aspects of the present invention can be implemented as a system, method, or program product. Therefore, various aspects of the present invention can be specifically implemented in the following forms, namely: a complete hardware implementation, a complete software implementation (including firmware, microcode, etc.), or an implementation combining hardware and software aspects, which can be collectively referred to as "circuit", "module", or "platform" here.

[0150] Embodiment 2

[0151] The present invention provides an air-ground anti-jamming transmission game system based on an active intelligent metasurface, which can be used to implement the above-mentioned air-ground anti-jamming transmission game method based on an active intelligent metasurface. Specifically, the air-ground anti-jamming transmission game system based on an active intelligent metasurface includes a scenario module, a function module, an interference module, and a transmission module.

[0152] Among them, the scenario module constructs a communication scenario including an intelligent jammer, a legitimate user, an active RIS, and an unmanned aerial vehicle (UAV) air base station;

[0153] The function module determines the received signal and the signal-to-interference-plus-noise ratio (SINR) expression at the receiver; constructs a game model based on the Stackelberg game to obtain the jammer utility function and the legitimate system utility function respectively;

[0154] The interference module constructs and solves the lower-layer optimization problem in the game model with the goal of maximizing the jammer utility function according to the obtained jammer utility function, and obtains the interference strategy of the jammer;

[0155] The transmission module constructs and solves the upper-layer optimization problem in the game model with the goal of maximizing the legitimate utility function according to the obtained legitimate system utility function, and obtains the secure transmission strategy of the legitimate system.

[0156] Embodiment 3

[0157] The present invention provides a terminal device, which includes a processor and a memory. The memory is used to store a computer program, and the computer program includes program instructions. The processor is used to execute the program instructions stored in the computer storage medium. The processor may be a Central Processing Unit (CPU), or may also be other general-purpose processors, Graphics Processing Unit (GPU), Tensor Processing Unit (TPU), Digital Signal Processor (DSP), Application Specific Integrated Circuit (ASIC), Field-Programmable Gate Array (FPGA), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. It is the computing core and control core of the terminal, and is suitable for implementing one or more instructions. Specifically, it is suitable for loading and executing one or more instructions to implement the corresponding method flow or corresponding function. The processor described in the embodiments of the present invention can be used for the operations of the air-ground anti-jamming transmission game method based on the active intelligent metasurface, including:

[0158] Construct a communication scenario including an intelligent jammer, legitimate users, an active RIS, and a drone aerial base station; determine the received signal and the signal-to-interference-plus-noise ratio at the receiver; construct a game model based on the Stackelberg game to obtain the jammer utility function and the legitimate system utility function respectively; construct and solve the lower-layer optimization problem in the game model with the goal of maximizing the jammer utility function according to the obtained jammer utility function to obtain the interference strategy of the jammer; construct and solve the upper-layer optimization problem in the game model with the goal of maximizing the legitimate system utility function according to the obtained legitimate system utility function to obtain the secure transmission strategy of the legitimate system.

[0159] Please refer to Figure 5, the terminal device is a computer device. The computer device 60 in this embodiment includes: a processor 61, a memory 62, and a computer program 63 stored in the memory 62 and executable on the processor 61. When the computer program 63 is executed by the processor 61, it implements the method of air-ground anti-interference transmission game based on active intelligent metasurface in the embodiment. To avoid repetition, it will not be elaborated here one by one. Alternatively, when the computer program 63 is executed by the processor 61, it implements the functions of each model / unit in the air-ground anti-interference transmission game system based on active intelligent metasurface in the embodiment. To avoid repetition, it will not be elaborated here one by one.

[0160] The computer device 60 can be a computing device such as a desktop computer, a notebook, a palm computer, and a cloud server. The computer device 60 may include, but is not limited to, a processor 61 and a memory 62. Those skilled in the art can understand that Figure 5 This is only an example of the computer device 60 and does not constitute a limitation on the computer device 60. It may include more or fewer components than shown in the figure, or combine some components, or different components. For example, the computer device may also include input / output devices, network access devices, a bus, etc.

[0161] The so-called processor 61 may be a central processing unit (CPU), or may also be other general-purpose processors, a graphics processing unit (GPU), a tensor processing unit (TPU), a digital signal processor (DSP), an application specific integrated circuit (ASIC), a field-programmable gate array (FPGA), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. The general-purpose processor may be a microprocessor or the processor may also be any conventional processor, etc.

[0162] The memory 62 may be an internal storage unit of the computer device 60, such as the hard disk or memory of the computer device 60. The memory 62 may also be an external storage device of the computer device 60, such as a plug-in hard disk equipped on the computer device 60, a smart media card (SMC), a secure digital (SD) card, a flash card, etc.

[0163] Further, the memory 62 may also include both the internal storage unit of the computer device 60 and external storage devices. The memory 62 is used to store computer programs and other programs and data required by the computer device. The memory 62 may also be used to temporarily store data that has been output or is to be output.

[0164] Please refer to Figure 6 , the terminal device is the electronic device 600, and the electronic device 600 is presented in the form of a general computing device. The components of the electronic device may include but are not limited to: at least one processing unit 610, at least one storage unit 620, a bus 630 connecting different platform components (including the storage unit 620 and the processing unit 610), a display unit 640, etc.

[0165] Among them, the storage unit stores program codes, and the program codes can be executed by the processing unit 610, so that the processing unit 610 executes the steps according to various exemplary embodiments of the present invention described in the above method part of this specification. For example, the processing unit 610 can execute steps as shown in Figure 2 .

[0166] The storage unit 620 may include a readable medium in the form of a volatile storage unit, such as a random access storage unit (RAM) 6201 and / or a cache storage unit 6202, and may further include a read-only storage unit (ROM) 6203.

[0167] The storage unit 620 may also include a program / utilities 6204 having a set (at least one) of program modules 6205. Such program modules 6205 include but are not limited to: an operating system, one or more application programs, other program modules, and program data. Each or some combination of these examples may include the implementation of a network environment.

[0168] The bus 630 may represent one or more of several types of bus structures, including a storage unit bus or a storage unit controller, a peripheral bus, a graphics acceleration port, a processing unit, or a local bus using any one of the multiple bus structures.

[0169] The electronic device 600 can also communicate with one or more external devices 700 (such as a keyboard, a pointing device, a Bluetooth device, etc.), and can also communicate with one or more devices that enable a user to interact with the electronic device 600, and / or communicate with any device that enables the electronic device 600 to communicate with one or more other computing devices (such as a router, a modem). Such communication can be carried out through the input / output interface 650. Moreover, the electronic device 600 can also communicate with one or more networks (such as a local area network, a wide area network, and / or a public network, such as the Internet) through the network adapter 660. The network adapter 660 can communicate with other modules of the electronic device 600 through the bus 630. It should be understood that, although not shown in the figure, other hardware and / or software modules can be used in combination with the electronic device 600, including but not limited to: microcode, device drivers, redundant processing units, external disk drive arrays, RAID systems, tape drives, and data backup storage platforms, etc.

[0170] Embodiment 4

[0171] The present invention also provides a storage medium, specifically a computer-readable storage medium, which is a memory device in a terminal device and is used for storing programs and data. It can be understood that the computer-readable storage medium here can include both the built-in storage medium in the terminal device, and of course can also include the extended storage medium supported by the terminal device. It can be any tangible medium that contains or stores a program, and this program can be used by or in combination with an instruction execution system, apparatus, or device. The computer-readable storage medium provides a storage space, and this storage space stores the operating system of the terminal. And, one or more instructions suitable for being loaded and executed by a processor are also stored in this storage space, and these instructions can be one or more computer programs (including program codes). It should be noted that more specific examples of the computer-readable storage medium here include: an electrical connection having one or more wires, a portable disk, a hard disk, a random access memory, a read-only memory, an erasable programmable read-only memory, an optical fiber, a portable compact disk read-only memory, an optical storage device, a magnetic storage device, or any suitable combination of the above.

[0172] The computer-readable storage medium also includes a data signal propagated in a baseband or as part of a carrier wave, which carries the readable program code. Such a propagated data signal can take various forms, including but not limited to electromagnetic signals, optical signals, or any suitable combination of the above. The readable storage medium can also be any readable medium other than the readable storage medium, which can send, propagate, or transmit a program for use by or in conjunction with an instruction execution system, apparatus, or device. The program code contained on the readable storage medium can be transmitted using any appropriate medium, including but not limited to wireless, wired, optical fiber, radio frequency, etc., or any suitable combination of the above.

[0173] The program code for performing the operations of the present invention can be written in any combination of one or more programming languages. The programming languages include object-oriented programming languages such as Java, C++, etc., and also include conventional procedural programming languages such as the "C" language or similar programming languages. The program code can be executed entirely on the user's computing device, partially on the user's device, executed as an independent software package, partially on the user's computing device and partially on a remote computing device, or entirely on a remote computing device or server. In the case of a remote computing device, the remote computing device can be connected to the user's computing device through any type of network, including a local area network or a wide area network, or can be connected to an external computing device (e.g., by using an Internet service provider to connect through the Internet).

[0174] One or more instructions stored in the computer-readable storage medium can be loaded and executed by a processor to implement the corresponding steps of the method for air-ground anti-jamming transmission game based on an active intelligent metasurface in the above embodiments; the one or more instructions in the computer-readable storage medium are loaded and executed by the processor to perform the following steps:

[0175] Construct a communication scenario including an intelligent jammer, a legitimate user, an active RIS, and a drone air base station; determine the received signal and the signal-to-interference-plus-noise ratio at the receiver; construct a game model based on the Stackelberg game to obtain the jammer utility function and the legitimate system utility function respectively; according to the obtained jammer utility function, construct and solve the lower-layer optimization problem in the game model with the goal of maximizing the jammer utility function to obtain the interference strategy of the jammer; according to the obtained legitimate system utility function, construct and solve the upper-layer optimization problem in the game model with the goal of maximizing the legitimate utility function to obtain the secure transmission strategy of the legitimate system.

[0176] In each of the embodiments provided in the present application, the database involved may include at least one of a relational database and a non-relational database. The non-relational database may include a distributed database based on blockchain, etc., and is not limited thereto. In each of the embodiments provided in the present application, the processor involved may be a general-purpose processor, a central processing unit, a graphics processing unit, a digital signal processor, a programmable logic device, a data processing logic device based on quantum computing, etc., and is not limited thereto.

[0177] To make the objectives, 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 accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are some, but not all, of the embodiments of the present invention. Generally, the components described and shown in the accompanying drawings here can be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the drawings is not intended to limit the scope of the claimed present invention, but merely represents selected embodiments of the present invention. All other embodiments obtained by those of ordinary skill in the art based on the embodiments of the present invention without creative efforts shall fall within the protection scope of the present invention.

[0178] Please refer to Figure 3 , which shows the change of the interference utility function at the game equilibrium based on the legal transmit power and the interference power price coefficient. We can see that compared with the case of the benchmark scheme without RIS assistance, the interference utility function of the proposed scheme is significantly smaller; when the interference coefficient increases, the interference utility function decreases accordingly. This is because for the jammer, its own coefficient is a negative factor for the utility function, and a higher coefficient will lead to a smaller utility function; when the legal coefficient increases, the interference utility function also decreases to a certain extent. This is because the increase of the legal coefficient will cause the legal power to decrease, and the interference power is also affected by the legal power and shows a decreasing trend, resulting in the decrease of the utility function.

[0179] Please refer to Figure 4 , which shows the change of the legal utility function at the game equilibrium based on the legal transmit power and the interference power price coefficient. We can see that compared with the case of the benchmark scheme without RIS assistance, the legal utility function of the proposed scheme is significantly larger; when the legal coefficient increases, the legal utility function decreases accordingly. This is because for the legal system, its own coefficient is a negative factor for the utility function, and a higher coefficient will lead to a smaller utility function; when the legal coefficient increases, the legal utility function increases accordingly. This is because the increase of the interference coefficient causes the interference power to decrease while the legal transmit power also increases, resulting in a certain increase in the legal utility function.

[0180] In summary, a method and system for air - ground anti - interference transmission game based on active intelligent metasurface according to the present invention is based on active intelligent reflecting surface - assisted secure wireless communication under intelligent interference attacks. In particular, in order to resist intelligent interference attacks that can dynamically change their interference strategies to achieve more effective attacks, the present invention carefully determines its transmission power at the legitimate user to balance the obtained SINR and the cost incurred. At the same time, the jammer needs to jointly optimize detection and interference to achieve the maximum deterioration. The security competition is described as a hierarchical game, where the legitimate user is the leader and the interferer is the follower. Based on the game equilibrium analysis, a strategy design for both sides is proposed. The legitimate user can utilize the first - mover advantage in the hierarchical game to improve secure communication.

[0181] Those skilled in the art can clearly understand that, for the convenience and simplicity of description, only the above - mentioned division of each functional unit and module is used as an example. In actual applications, the above - mentioned functions can be assigned to different functional units and modules according to needs, that is, the internal structure of the device is divided into different functional units or modules to complete all or part of the functions described above. Each functional unit and module in the embodiment can be integrated in a processing unit, or each unit can exist physically alone, or two or more units can be integrated in one unit. The above - integrated unit can be implemented in the form of hardware or in the form of a software functional unit. In addition, the specific names of each functional unit and module are only for the convenience of mutual distinction and do not limit the protection scope of the present application. The specific working processes of the units and modules in the above - mentioned system can refer to the corresponding processes in the foregoing method embodiments and will not be elaborated herein.

[0182] In the above - mentioned embodiments, the descriptions of each embodiment have their own emphases. For parts not detailed or recorded in a certain embodiment, reference can be made to the relevant descriptions of other embodiments.

[0183] Those of ordinary skill in the art can realize that the units and algorithm steps of each example described in combination with the embodiments disclosed in the present invention can be implemented by electronic hardware, or by a combination of computer software and electronic hardware. Whether these functions are executed in hardware or software depends on the specific application and design constraints of the technical solution. Professional technicians can use different methods to implement the described functions for each specific application, but such implementation should not be considered to exceed the scope of the present invention.

[0184] In the embodiments provided by the present invention, it should be understood that the disclosed device / terminal and method can be implemented in other ways. For example, the device / terminal embodiments described above are only illustrative. For example, the division of the modules or units is only a logical function division. In actual implementation, there may be other division methods. For example, multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the displayed or discussed coupling, direct coupling, or communication connection between each other can be through some interfaces. The indirect coupling or communication connection of the device or unit can be in electrical, mechanical, or other forms.

[0185] The units described as separate components may or may not be physically separated. The components displayed as units may or may not be physical units, that is, they can be located in one place, or they can be distributed to multiple network units. Some or all of the units can be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0186] In addition, each functional unit in various embodiments of the present invention can be integrated into one processing unit, or each unit can exist physically alone, or two or more units can be integrated into one unit. The above integrated units can be implemented in the form of hardware or in the form of software functional units.

[0187] If the integrated module / unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on such an understanding, to implement all or part of the processes in the above method embodiments of the present invention, it can also be completed by a computer program instructing relevant hardware. The computer program can be stored in a computer-readable storage medium. When the computer program is executed by a processor, the steps of the above method embodiments can be implemented. Among them, the computer program includes computer program code, and the computer program code can be in source code form, object code form, executable file, or some intermediate form, etc. The computer-readable medium can include: any entity or device that can carry the computer program code, recording medium, USB flash drive, mobile hard disk, magnetic disk, optical disk, computer memory, read-only memory (ROM), random access memory (RAM), electrical carrier signal, telecommunication signal, and software distribution medium, etc. It should be noted that the content included in the computer-readable medium can be appropriately increased or decreased according to the requirements of legislation and patent practice in the jurisdiction. For example, in some jurisdictions, according to legislation and patent practice, the computer-readable medium does not include electrical carrier signals and telecommunication signals.

[0188] This application is described with reference to the flowcharts and / or block diagrams of methods, apparatus, and computer program products according to embodiments of the present application. It should be understood that each flow and / or block in the flowcharts and / or block diagrams, and combinations of flows and / or blocks in the flowcharts and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to the processors of general-purpose computers, special-purpose computers, embedded processors, or other programmable data processing devices to produce a machine, such that the instructions executed by the processors of the computer or other programmable data processing devices produce means for implementing the functions specified in one or more of the flows Figure 1 one or more flows and / or blocks Figure 1 or means for implementing the functions specified in one or more of the blocks.

[0189] These computer program instructions can also be stored in a computer-readable memory that can direct a computer or other programmable data processing device to operate in a specific manner, such that the instructions stored in the computer-readable memory produce a manufactured article including instruction means that implement the functions specified in one or more of the flows Figure 1 one or more flows and / or blocks Figure 1 or means for implementing the functions specified in one or more of the blocks.

[0190] These computer program instructions can also be loaded onto a computer or other programmable data processing device, such that a series of operational steps are performed on the computer or other programmable device to produce a computer-implemented process, and thus the instructions executed on the computer or other programmable device provide steps for implementing the functions specified in one or more of the flows Figure 1 one or more flows and / or blocks Figure 1 or means for implementing the functions specified in one or more of the blocks.

[0191] The above is only to illustrate the technical idea of the present invention and should not be used to limit the protection scope of the present invention. Any modification made on the basis of the technical solution according to the technical idea proposed by the present invention falls within the protection scope of the claims of the present invention.

Claims

1. The air-to-ground anti-interference transmission game method based on active intelligent metasurface is characterized by: The following steps are involved: Construct communication scenarios including intelligent jammers, legitimate users, active RIS, and drone aerial base stations; Determine the received signal and signal-to-noise ratio at the receiver; construct a game model based on Stackelberg game to obtain the interferer utility function and the legitimate system utility function respectively; According to the obtained jammer utility function, the lower optimization problem in the game model is constructed and solved with the goal of maximizing the jamming utility function, and the jamming strategy of the jammer is obtained; According to the obtained legal system utility function, the upper-level optimization problem in the game model is constructed and solved with the goal of maximizing the legal utility function, and the secure transmission strategy of the legal system is obtained.

2. The air-to-ground anti-interference transmission game method based on active intelligent metasurface according to claim 1 is characterized in that: In the communication scenario, the number of antennas of the legitimate sender S, receiver D and interferer J are N respectively. S , N D , N J ,The legitimate signal in the scenario is transmitted by a fixed position UAV aerial base station, and an ARIS with N number of reflective elements is deployed to assist the system in anti-interference and maximize the reception effect; The channels from legitimate sender S to ARIS, legitimate sender S to receiver D, interferer J to ARIS, interferer J to receiver D, and ARIS to receiver D are: in, is the symbol of the complex domain, N is the number of reflective elements, N S is the number of legal transmitting antennas, N D is the number of antennas at the receiving end, N J is the number of antennas at the interference transmitting end; The diagonal phase shift matrix of ARIS is: Θ = diag(θ), Among them, max{α1,α2,α3,...,α n }≤α max ,α1,α2,α3,....,α n for, , T is the transpose operation.

3. The air-to-ground anti-interference transmission game method based on active intelligent metasurface according to claim 1 is characterized in that: The received signal and received signal-to-noise ratio at the receiver D are: Among them, w D is the receive beamforming vector at the receiver D, x S ,x J are the transmitted signals at the transmitting end and the interference end respectively, w S , w J are the transmit beamforming vectors at the transmitter and interference point, respectively, n R , n D denote the background noise vector at ARIS and receiver D respectively, is the conjugate transpose of the receive beamforming vector at receiver D, y D is the signal vector received by the receiver, is the equivalent channel from the legitimate sender S to the receiver D, is the equivalent channel from interferer J to receiver D, H RD is the channel from RIS to the receiver D, P J is the interference transmission power, P S is the legal transmission power, Θ is the diagonal phase shift matrix of ARIS, is the background noise at ARIS.

4. The air-to-ground anti-interference transmission game method based on active intelligent metasurface according to claim 1 is characterized in that: The disruptor utility function and the legitimate system utility function are: U J (w J ,P J )=-SINR-C J P J U L (w D ,w S ,Θ,P S )=SINR-C S P S Among them, C S , C J is the linear coefficient, w D is the receive beamforming vector at the receiver D, w S , w J are the transmit beamforming vectors at the transmitter and interference point, respectively, U L is the legal utility function, U J is the interference utility function, P S is the legal transmission power, P J is the interference transmission power, Θ is the diagonal phase shift matrix of ARIS, and SINR is the received signal-to-noise ratio.

5. The air-to-ground anti-interference transmission game method based on active intelligent metasurface according to claim 1 is characterized in that: The lower-level optimization problem in the game model is constructed and solved with the goal of maximizing the jamming utility function, and the jamming strategy of the jammer is obtained, which is as follows: Fixed P J , optimize w J ; From the maximum ratio transmission MRT Used to solve the upper-level optimization problems in the game model; Fixed w J , optimize P J ; The optimal interference power is derived by making the first derivative of the utility function zero Then we get the jammer with P J is the transmission power, expressed in W J is the jamming strategy for the transmit beamforming vector.

6. The air-to-ground anti-interference transmission game method based on active intelligent metasurface according to claim 5 is characterized in that: Optimum interference power in, is the optimal interference power, P S is the legal transmission power, is the conjugate transpose of the receive beamforming vector at receiver D, is the equivalent channel from the legitimate sender S to the receiver D, w S is the transmit beamforming vector at the transmitter, is the background noise at ARIS, H RD is the channel from RIS to the receiver D, Θ is the diagonal phase shift matrix of ARIS, is the background noise at the receiver D, C J is the cost coefficient in the interference utility function, is the equivalent channel from interferer J to receiver D, The maximum power limit for interference transmission.

7. The air-to-ground anti-interference transmission game method based on active intelligent metasurface according to claim 5 is characterized in that: The utility function of the jammer is maximized: Among them, U J is the utility function of the jammer, w J is the transmit beamforming vector at the interference location, P J is the interference transmission power, SINR is the received signal-to-noise ratio, C J is the cost coefficient in the interference utility function, The maximum power limit for interference transmission.

8. The air-to-ground anti-interference transmission game method based on active intelligent metasurface according to claim 1 is characterized in that: The upper optimization problem in the game model is constructed and solved with the goal of maximizing the legal utility function, and the secure transmission strategy of the legal system is obtained, which is as follows: Fixed w D ,w S ,Θ,Optimize P S ,P J ; Introduce auxiliary variables Convert the original problem into a convex optimization problem, and then use the CVX toolkit to solve u,P J , and then by P S =u 2 Solve for P S , get the power allocation for legal transmission; Fixed P S ,P J ,w S ,Θ, optimize w D ; Convert the original objective function into the generalized Rayleigh entropy and generalized eigenvalue problem, and solve it to get Fixed P S ,P J ,w D ,Θ, optimize w S ; Obtained from the maximum ratio transmission MRT theory Fixed P S ,P J ,w S ,w D , optimize Θ; Integrate each sub-problem into a BCD framework to achieve overall optimization of the original problem and obtain the optimal strategy for active metasurface-assisted secure transmission. The overall optimization of the original problem is as follows: Among them, U L is a legal utility function, is the legal transmission power of the t-1th iteration, is the transmit beamforming vector for the t-1th iteration, is the receive beamforming vector of the t-1th iteration, Θ (t-1) is the diagonal phase shift matrix of ARIS at the t-1th iteration, is the legal transmission power of the tth iteration, is the transmit beamforming vector of the tth iteration, is the receive beamforming vector of the tth iteration, Θ (t) is the diagonal phase shift matrix of ARIS at the tth iteration.

9. The air-to-ground anti-interference transmission game method based on active intelligent metasurface according to claim 8 is characterized in that: The utility function of the legal system is maximized: Among them, w D is the receive beamforming vector at the receiver D, w S is the transmit beamforming vector at the transmitter, P S is the legal transmission power, Θ is the diagonal phase shift matrix of ARIS, U L is the legal utility function, is the conjugate transpose of the receive beamforming vector at receiver D, is the equivalent channel from the legitimate sender S to the receiver D, is the equivalent channel from interferer J to receiver D, w J is the transmit beamforming vector of interferer J, is the background noise at ARIS, H RD is the channel from RIS to the receiver D, is the background noise at the receiver D, C S is the cost coefficient in the legal utility function, is the maximum power limit for legal transmission, H SR is the channel from the legitimate sender S to ARIS, H JR is the channel from interferer J to ARIS, is the maximum power limit of ARIS, α max is the maximum magnification limit of ARIS, is a set of natural numbers, is the optimal transmit beamforming vector of interferer J, is the optimal interference power, U J is the interference utility function.

10. An air-to-ground anti-interference transmission game system based on active intelligent metasurface, characterized in that: include: The scenario module builds communication scenarios including intelligent jammers, legitimate users, active RIS, and drone aerial base stations; Function module, determines the received signal at the receiver and the expression of signal-to-noise ratio; constructs a game model based on Stackelberg game to obtain the interferer utility function and the legal system utility function respectively; The jamming module, based on the obtained jammer utility function, constructs and solves the lower optimization problem in the game model with the goal of maximizing the jamming utility function to obtain the jammer's jamming strategy; The transmission module, based on the obtained legal system utility function, constructs and solves the upper-level optimization problem in the game model with the goal of maximizing the legal utility function, and obtains the safe transmission strategy of the legal system.

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