A device for joint optimization of radiation emission and sensitivity limits for multi-radio equipment coexistence

Abstract

The present application relates to the field of radiation emission and sensitive limit optimization of multiple devices, and particularly relates to a radiation emission and sensitive limit joint optimization device for multiple radio frequency device coexistence. The device comprises: a coupling gain calculation module, which calculates the radiation coupling gain of a multiple device system composed of multiple transmitting devices and multiple receiving devices; an interference power and interference margin calculation module, which calculates the interference margin of a receiving device at a set frequency point according to the interference power; a target function construction module, which constructs a comprehensive target function; a constraint module, which sets a constraint condition and constructs an optimization problem; an optimization problem solving module, which iteratively solves the optimization problem using a sequential quadratic programming method; and a dynamic adjustment module, which dynamically adjusts the weights of each item in the comprehensive target function, and outputs the emission limit and sensitive limit of the multiple device system at all frequency points when the iteration stop condition is met. The present application is suitable for complex system electromagnetic compatibility design.

Description

Technical Field

[0001] This invention relates to the field of optimization of radiated emissions and sensitivity limits for multiple devices, and more specifically to a device for joint optimization of radiated emissions and sensitivity limits for multiple radio frequency devices coexisting. Background Technology

[0002] On complex platforms such as aircraft and ships, the parallel operation of multiple radio frequency devices can easily lead to electromagnetic interference due to frequency overlap and near-field coupling, resulting in performance degradation or even malfunction of receiving equipment. Current electromagnetic compatibility (EMC) designs rely on uniform radiated emission and radiated susceptibility limits specified in existing standards for single-device testing environments, failing to adequately consider the cumulative effects of interference from multiple devices within the system and the diversity of coupling paths. This results in over-protection or potential risks in engineering applications of existing standards. Although research on limit optimization at the system level has emerged in recent years, most studies remain limited to unilateral optimization of emission or susceptibility limits, lacking a synergistic design approach. Therefore, there is an urgent need to propose a method for joint optimization of radiated emission and radiated susceptibility limits. Summary of the Invention

[0003] The purpose of this invention is to overcome the shortcomings of the prior art and provide a device for joint optimization of radiated emission and sensitivity limits for multiple radio frequency devices coexisting, thereby achieving joint optimization of radiated emission and sensitivity limits for multiple radio frequency devices coexisting and improving the performance and security of multi-device systems.

[0004] The present invention achieves the above-mentioned objectives by adopting the following technical solution: Firstly, the present invention provides a device for joint optimization of radiated emission and sensitivity limits for the coexistence of multiple radio frequency devices, the device comprising:

[0005] The coupling gain calculation module iterates through all transmitting and receiving devices to calculate the radiation coupling gain of a multi-device system consisting of multiple transmitting and receiving devices.

[0006] The interference power and interference margin calculation module obtains the transmission value of each transmitting device at a set frequency point, obtains the sensitivity of each receiving device at a set frequency point, and calculates the superimposed interference power received by the receiving device from all transmitting devices at the set frequency point by combining the radiation coupling gain of the multi-device system. Then, it calculates the interference margin of the receiving device at the set frequency point based on the interference power.

[0007] The objective function construction module constructs a comprehensive objective function that includes the overall cost of the multi-device system, smoothness penalty, and disturbance margin penalty.

[0008] The constraint module sets constraints and constructs optimization problems. It sets upper and lower bound constraints for transmission limits, upper and lower bound constraints for sensitivity limits, hard constraints for minimum interference margin, and constraints for transmission direction consistency at all frequency points, thus forming a frequency-level constraint optimization problem.

[0009] The optimization problem-solving module uses a sequential quadratic programming method to iteratively solve the optimization problem. During the iteration process, frequency points are randomly selected to construct local quadratic programming subproblems, solve for the update direction and step size, and combine line search to update the emission and sensitivity limits.

[0010] The dynamic adjustment module dynamically adjusts the weights of each item in the comprehensive objective function based on the current minimum interference margin of the multi-device system. When the iteration stopping condition is met, it outputs the transmit limit and sensitivity limit of the multi-device system at all frequency points.

[0011] Furthermore, the coupling gain calculation module is specifically used to define the radiation coupling matrix of a multi-device system. Radiative coupling matrix Containing elements , Indicates the launching equipment At frequency Receiving equipment The coupling gain is defined as ,in, and These represent the launching equipment. and receiving equipment In frequency The corresponding antenna gain, Indicates the scale fading factor;

[0012] Indicates the path loss factor. ,in For launching equipment and receiving equipment Spatial distance between them This is the path loss index. The speed of light;

[0013] Represents the structural blocking factor. ,in, Indicates the first [unclear] between the transmitting and receiving equipment Attenuation factor of each blocking region;

[0014] Represents the antenna directivity factor. ,in , This refers to the directional offset angle between the transmitting and receiving antennas;

[0015] The final radiation coupling gain of the multi-device system is expressed as: .

[0016] Furthermore, the interference power and interference margin calculation module is specifically used to obtain the interference power and interference margin calculation results for each transmitting device. Setting frequency emission value at the location Each receiving device Setting frequency Sensitivity of the area Combined with the radiation coupling gain of multi-device systems Then the receiving device Setting frequency The superimposed interference power received from all transmitting devices is ,in Background noise, receiving equipment Setting frequency The interference margin at is .

[0017] Furthermore, the objective function construction module is specifically used to define optimization variables, and the specific process is as follows:

[0018] Construct a joint optimization variable vector: ,in and Let be the radiation emission limit and radiation sensitivity limit to be optimized, respectively, and T denote the matrix transpose;

[0019] The objective function is constructed as follows:

[0020] Project implementation cost:

[0021] The adjustment amount for the emission limit is expressed as follows: The cost function for adjusting the launch limit adopts the direction-sensitive index model, i.e. ,in, , , and All values ​​are constant; the cost function of the sensitivity limit Consistent with the launch limit cost function form, the overall cost of a multi-device system resulting from limit adjustments is: ;

[0022] Frequency domain smoothing penalty:

[0023] Regarding launch limits, ;

[0024] Anti-interference limit, ;

[0025] The overall smoothness penalty for multi-device systems is ;

[0026] Interference margin penalty: If the interference margin is lower than the threshold Then a punishment will be imposed: The overall penalty for multi-device systems is ;

[0027] The process of constructing the comprehensive objective function is as follows:

[0028] In the The objective function synthesized in the next iteration is: In the formula, , , Each represents a weight.

[0029] Furthermore, the constraints set in the constraint module are as follows:

[0030] Launch limit upper and lower bound constraints: , , These represent the lower and upper limits of the emission limit, respectively.

[0031] Disturbance immunity upper and lower bound constraints: , , These represent the lower and upper bounds of the disturbance rejection limit, respectively.

[0032] Hard constraint on disturbance margin: .

[0033] Furthermore, the optimization problem-solving module is specifically used to randomly select frequency points, randomly sampling one frequency point in each iteration. ;

[0034] Construct QP subproblems and apply them to the objective function. By making a local second-order approximation and locally linearizing the constraints, a solvable quadratic programming subproblem can be formed.

[0035] To determine the update direction, the step direction is obtained using the KKT conditions. ;

[0036] The step size is determined by line search, and the corresponding step size coefficient µ is selected so that the updated solution satisfies the descent and constraint conditions.

[0037] Update and optimize variables. ;

[0038] If the subproblem is not feasible, the original solution remains unchanged to ensure that the security constraints of the multi-device system are not violated.

[0039] Secondly, the present invention provides a method for joint optimization of radiated emission and sensitivity limits for the coexistence of multiple radio frequency devices, applied to the aforementioned joint optimization device for radiated emission and sensitivity limits for the coexistence of multiple radio frequency devices, the optimization method comprising:

[0040] S1. Traverse all transmitting and receiving devices and calculate the radiation coupling gain of a multi-device system consisting of multiple transmitting and receiving devices.

[0041] S2. Obtain the transmission value of each transmitting device at the set frequency point, obtain the sensitivity of each receiving device at the set frequency point, combine the radiation coupling gain of the multi-device system, calculate the superimposed interference power received by the receiving device at the set frequency point from all transmitting devices, and then calculate the interference margin of the receiving device at the set frequency point based on the interference power.

[0042] S3. Construct a comprehensive objective function that includes the overall cost of the multi-device system, smoothness penalty, and disturbance margin penalty;

[0043] S4. Set constraints and construct an optimization problem. Set upper and lower bound constraints for transmission limits, upper and lower bound constraints for sensitivity limits, hard constraints for minimum interference margin, and constraints for transmission direction consistency at all frequency points, and form a frequency-level constrained optimization problem.

[0044] S5. The sequential quadratic programming method is used to iteratively solve the optimization problem. During the iteration process, frequency points are randomly selected to construct local quadratic programming subproblems, solve the update direction and step size, and combine line search to update the emission and sensitivity limits.

[0045] S6. Based on the current minimum interference margin of the multi-device system, dynamically adjust the weights of each item in the comprehensive objective function. When the iteration stopping condition is met, output the transmit limit and sensitivity limit of the multi-device system at all frequency points.

[0046] The beneficial effects of this invention are as follows:

[0047] This invention achieves frequency-resolved electromagnetic compatibility optimization for multi-device systems by jointly customizing transmit and receive immunity limits. Based on a radiation coupling model, it accurately characterizes the interference relationships between devices, effectively improving interference margins at key frequencies and reducing system-level interference risks.

[0048] By introducing an engineering cost model and frequency domain smoothing constraints, this invention ensures a safety margin while controlling the adjustment of equipment parameters within an engineering-feasible range, making the generated limit curves more consistent with the actual hardware implementation characteristics.

[0049] This invention employs a sequential quadratic programming solution strategy with random frequency points, enabling the algorithm to maintain efficient convergence in multi-device, wide-band scenarios. This significantly enhances the spectrum coexistence capability, operational performance, security, and reliability of multi-RF device systems. Attached Figure Description

[0050] Figure 1 This is a structural block diagram of a device for joint optimization of radiated emission and sensitivity limits for the coexistence of multiple radio frequency devices provided by the present invention;

[0051] Figure 2 This is a flowchart of a method for joint optimization of radiated emission and sensitivity limits for the coexistence of multiple radio frequency devices provided by the present invention. Detailed Implementation

[0052] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings.

[0053] This invention provides a device for joint optimization of radiated emissions and sensitivity limits for the coexistence of multiple radio frequency devices, such as... Figure 1 As shown, the joint optimization device includes:

[0054] The coupling gain calculation module iterates through all transmitting and receiving devices to calculate the radiation coupling gain of a multi-device system consisting of multiple transmitting and receiving devices.

[0055] The interference power and interference margin calculation module obtains the transmission value of each transmitting device at a set frequency point, obtains the sensitivity of each receiving device at a set frequency point, and calculates the superimposed interference power received by the receiving device from all transmitting devices at the set frequency point by combining the radiation coupling gain of the multi-device system. Then, it calculates the interference margin of the receiving device at the set frequency point based on the interference power.

[0056] The objective function construction module constructs a comprehensive objective function that includes the overall cost of the multi-device system, smoothness penalty, and disturbance margin penalty.

[0057] The constraint module sets constraints and constructs optimization problems. It sets upper and lower bound constraints for transmission limits, upper and lower bound constraints for sensitivity limits, hard constraints for minimum interference margin, and constraints for transmission direction consistency at all frequency points, thus forming a frequency-level constraint optimization problem.

[0058] The optimization problem-solving module uses a sequential quadratic programming method to iteratively solve the optimization problem. During the iteration process, frequency points are randomly selected to construct local quadratic programming subproblems, solve for the update direction and step size, and combine line search to update the emission and sensitivity limits.

[0059] The dynamic adjustment module dynamically adjusts the weights of each item in the comprehensive objective function based on the current minimum interference margin of the multi-device system. When the iteration stopping condition is met, it outputs the transmit limit and sensitivity limit of the multi-device system at all frequency points.

[0060] In one embodiment of the present invention, the coupling gain calculation module is specifically used to define the radiation coupling matrix of the multi-device system for the multi-device system. Radiative coupling matrix Containing elements , Indicates the launching equipment At frequency Receiving equipment The coupling gain is defined as ,in, and These represent the launching equipment. and receiving equipment In frequency The corresponding antenna gain, Indicates the scale fading factor;

[0061] Indicates the path loss factor. ,in For launching equipment and receiving equipment Spatial distance between them This is the path loss index. The speed of light;

[0062] Represents the structural blocking factor. ,in, Indicates the first [unclear] between the transmitting and receiving equipment Attenuation factor of each blocking region;

[0063] Represents the antenna directivity factor. ,in , This refers to the directional offset angle between the transmitting and receiving antennas;

[0064] The final radiation coupling gain of the multi-device system is expressed as: .

[0065] In one embodiment of the present invention, the interference power and interference margin calculation module is specifically used to obtain the interference power and interference margin calculation for each transmitting device. Setting frequency emission value at the location Each receiving device Setting frequency Sensitivity of the area Combined with the radiation coupling gain of multi-device systems Then the receiving device Setting frequency The superimposed interference power received from all transmitting devices is ,in Background noise, receiving equipment Setting frequency The interference margin at is .

[0066] In one embodiment of the present invention, the objective function construction module is specifically used to define optimization variables, and the specific process is as follows:

[0067] Construct a joint optimization variable vector: ,in and Let be the radiation emission limit and radiation sensitivity limit to be optimized, respectively, and T denote the matrix transpose;

[0068] The objective function is constructed as follows:

[0069] Project implementation cost:

[0070] The adjustment amount for the emission limit is expressed as follows: The cost function for adjusting the launch limit adopts the direction-sensitive index model, i.e. ,in, , , and All values ​​are constant; the cost function of the sensitivity limit Consistent with the launch limit cost function form, the overall cost of a multi-device system resulting from limit adjustments is: ;

[0071] Frequency domain smoothing penalty:

[0072] Regarding launch limits, ;

[0073] Anti-interference limit, ;

[0074] The overall smoothness penalty for multi-device systems is ;

[0075] Interference margin penalty: If the interference margin is lower than the threshold Then a punishment will be imposed: The overall penalty for multi-device systems is ;

[0076] The process of constructing the comprehensive objective function is as follows:

[0077] In the The objective function synthesized in the next iteration is: In the formula, , , Each represents a weight.

[0078] In one embodiment of the present invention, the constraints set by the constraint module are as follows:

[0079] Launch limit upper and lower bound constraints: , , These represent the lower and upper limits of the emission limit, respectively.

[0080] Disturbance immunity upper and lower bound constraints: , , These represent the lower and upper bounds of the disturbance rejection limit, respectively.

[0081] Hard constraint on disturbance margin: .

[0082] In one embodiment of the present invention, the optimization problem-solving module is specifically used for:

[0083] Randomly select a frequency point; randomly select a frequency point in each iteration. ;

[0084] Construct QP subproblems and apply them to the objective function. By making a local second-order approximation and locally linearizing the constraints, a solvable quadratic programming subproblem can be formed.

[0085] To determine the update direction, the step direction is obtained using the KKT conditions. ;

[0086] The step size is determined by line search, and the corresponding step size coefficient µ is selected so that the updated solution satisfies the descent and constraint conditions.

[0087] Update and optimize variables. ;

[0088] If the subproblem is not feasible, the original solution remains unchanged to ensure that the security constraints of the multi-device system are not violated.

[0089] This invention also provides a method for joint optimization of radiated emissions and sensitivity limits for the coexistence of multiple radio frequency devices, such as... Figure 2 As shown, it includes the following steps:

[0090] S1. Traverse all transmitting and receiving devices and calculate the radiation coupling gain of a multi-device system consisting of multiple transmitting and receiving devices.

[0091] For multi-device systems, define the radiation coupling matrix of the multi-device system. Radiative coupling matrix Containing elements , Indicates the launching equipment At frequency Receiving equipment The coupling gain is defined as ,in, and These represent the launching equipment. and receiving equipment In frequency The corresponding antenna gain;

[0092] The path loss factor is represented by the Friis formula, which is related to distance and frequency. ,in For launching equipment and receiving equipment Spatial distance between them This is the path loss index. The speed of light;

[0093] The structural blocking factor is derived from statistics on blocking areas within a multi-device system. ,in, Indicates the first [unclear] between the transmitting and receiving equipment Attenuation factor of each blocking region;

[0094] Represents the antenna directivity factor. ,in , This refers to the directional offset angle between the transmitting and receiving antennas;

[0095] According to the launching equipment and receiving equipment For line-of-sight transmission, either the Rician or Rayleigh model is chosen to represent the small-scale fading factor. Among them, line-of-sight transmission uses the Rician distribution, while non-line-of-sight transmission uses the Rayleigh distribution.

[0096] The final radiation coupling gain of the multi-device system is expressed as: .

[0097] S2. Obtain the transmission value of each transmitting device at the set frequency point, obtain the sensitivity of each receiving device at the set frequency point, combine the radiation coupling gain of the multi-device system, calculate the superimposed interference power received by the receiving device at the set frequency point from all transmitting devices, and then calculate the interference margin of the receiving device at the set frequency point based on the interference power.

[0098] Obtain each launch device Setting frequency emission value at the location Each receiving device Setting frequency Sensitivity of the area Combined with the radiation coupling gain of multi-device systems Then the receiving device Setting frequency The superimposed interference power received from all transmitting devices is ,in Background noise, receiving equipment Setting frequency The interference margin at is .

[0099] S3. Construct a comprehensive objective function that includes the overall cost of the multi-device system, smoothness penalty, and disturbance margin penalty;

[0100] Step S301: Define optimization variables;

[0101] Construct a joint optimization variable vector: ,in and Let be the radiation emission limit and radiation sensitivity limit to be optimized, respectively, and T denote the matrix transpose;

[0102] Step S302: Construct the objective function;

[0103] Project implementation cost:

[0104] The adjustment amount for the emission limit is expressed as follows: The cost function for adjusting the launch limit adopts the direction-sensitive index model, i.e. ,in, , , and All are constant values; similarly, the cost function of the sensitivity limit. Consistent with the launch limit cost function form, the overall cost of a multi-device system resulting from limit adjustments is: ;

[0105] Frequency domain smoothing penalty (security):

[0106] Regarding launch limits, ;

[0107] Anti-interference limit, ;

[0108] The overall smoothness penalty for multi-device systems is ;

[0109] Interference margin penalty: If the interference margin is lower than the threshold Then a punishment will be imposed: The overall penalty for multi-device systems is ;

[0110] Step S303: Construct the comprehensive objective function;

[0111] In the The objective function synthesized in the next iteration is: In the formula, , , These represent the weights of each item, and the weights will be dynamically adjusted in step S6.

[0112] S4. Set constraints and construct an optimization problem. Set upper and lower bound constraints for transmission limits, upper and lower bound constraints for sensitivity limits, hard constraints for minimum interference margin, and constraints for transmission direction consistency at all frequency points, and form a frequency-level constrained optimization problem.

[0113] Launch limit upper and lower bound constraints: , , These represent the lower and upper limits of the emission limit, respectively.

[0114] Disturbance immunity upper and lower bound constraints: , , These represent the lower and upper bounds of the disturbance rejection limit, respectively.

[0115] Hard constraint on disturbance margin: .

[0116] Directional consistency constraints (avoiding both tightening and loosening at the same frequency point), taking the emission limit adjustment as an example: Let... ,Require This indicates that the transmission limit for the same frequency point cannot be adjusted upwards and downwards simultaneously.

[0117] S5. The sequential quadratic programming method is used to iteratively solve the optimization problem. During the iteration process, frequency points are randomly selected to construct local quadratic programming subproblems, solve the update direction and step size, and combine line search to update the emission and sensitivity limits.

[0118] Step S501: Randomly select a frequency point. In each iteration, a frequency point is randomly selected. ;

[0119] Step S502: Construct QP subproblems and apply them to the objective function. By making a local second-order approximation and locally linearizing the constraints, a solvable quadratic programming subproblem can be formed.

[0120] Step S503: Solve for the update direction and obtain the step direction using the KKT conditions. ;

[0121] Step S504: Determine the step size through line search, select the corresponding step size coefficient µ, and make the updated solution satisfy the descent and constraint conditions;

[0122] Step S505: Update and optimize variables. ;

[0123] Step S506: If the subproblem is not feasible, keep the original solution unchanged to ensure that the security constraints of the multi-device system are not violated.

[0124] S6. Based on the current minimum disturbance margin Dynamically adjust the weights of each term in the objective function , , To ensure the optimization process is stable, controllable, and gradually converges, once the iteration stopping condition is met, the transmit limits and sensitivity limits of the multi-device system at all frequency points are output.

[0125] The above description is merely a preferred embodiment of the present invention. It should be understood that the present invention is not limited to the forms disclosed herein and should not be construed as excluding other embodiments. It can be used in various other combinations, modifications, and environments, and can be altered within the scope of the concept described herein through the above teachings or related technologies or knowledge. Modifications and variations made by those skilled in the art that do not depart from the spirit and scope of the present invention should be within the protection scope of the appended claims.

Claims

1. A device for joint optimization of radiated emission and sensitivity limits for the coexistence of multiple radio frequency devices, characterized in that, The device includes: The coupling gain calculation module iterates through all transmitting and receiving devices to calculate the radiation coupling gain of a multi-device system consisting of multiple transmitting and receiving devices. The interference power and interference margin calculation module obtains the transmission value of each transmitting device at a set frequency point, obtains the sensitivity of each receiving device at a set frequency point, and calculates the superimposed interference power received by the receiving device from all transmitting devices at the set frequency point by combining the radiation coupling gain of the multi-device system. Then, it calculates the interference margin of the receiving device at the set frequency point based on the interference power. The objective function construction module constructs a comprehensive objective function that includes the overall cost of the multi-device system, smoothness penalty, and disturbance margin penalty. The constraint module sets constraints and constructs optimization problems. It sets upper and lower bound constraints for transmission limits, upper and lower bound constraints for sensitivity limits, hard constraints for minimum interference margin, and constraints for transmission direction consistency at all frequency points, thus forming a frequency-level constraint optimization problem. The optimization problem-solving module uses a sequential quadratic programming method to iteratively solve the optimization problem. During the iteration process, frequency points are randomly selected to construct local quadratic programming subproblems, solve for the update direction and step size, and combine line search to update the emission and sensitivity limits. The dynamic adjustment module dynamically adjusts the weights of each item in the comprehensive objective function based on the current minimum interference margin of the multi-device system. When the iteration stopping condition is met, it outputs the transmit limit and sensitivity limit of the multi-device system at all frequency points.

2. The radiated emission and sensitivity limit joint optimization device for coexistence of multiple radio frequency devices according to claim 1, characterized in that, The coupling gain calculation module is specifically used to define the radiation coupling matrix of a multi-device system. Radiative coupling matrix Containing elements , Indicates the launching equipment At frequency Receiving equipment The coupling gain is defined as ,in, and These represent the launching equipment. and receiving equipment In frequency The corresponding antenna gain, Indicates the scale fading factor; Indicates the path loss factor. ,in For launching equipment and receiving equipment Spatial distance between them This is the path loss index. The speed of light; Represents the structural blocking factor. ,in, Indicates the first [unclear] between the transmitting and receiving equipment Attenuation factor of each blocking region; Represents the antenna directivity factor. ,in , This refers to the directional offset angle between the transmitting and receiving antennas; The final radiation coupling gain of the multi-device system is expressed as: .

3. The radiated emission and sensitivity limit joint optimization device for coexistence of multiple radio frequency devices according to claim 1, characterized in that, The interference power and interference margin calculation module is specifically used to obtain the interference power and interference margin calculation results for each transmitting device. Setting frequency emission value at the location Each receiving device Setting frequency Sensitivity of the area Combined with the radiation coupling gain of multi-device systems Then the receiving device Setting frequency The superimposed interference power received from all transmitting devices is ,in Background noise, receiving equipment Setting frequency The interference margin at is .

4. The radiated emission and sensitivity limit joint optimization device for coexistence of multiple radio frequency devices according to claim 1, characterized in that, The objective function building module is specifically used to define optimization variables, and the specific process is as follows: Construct a joint optimization variable vector: ,in and Let be the radiation emission limit and radiation sensitivity limit to be optimized, respectively, and T denote the matrix transpose; The objective function is constructed as follows: Project implementation cost: The adjustment amount for the emission limit is expressed as follows: The cost function for adjusting the launch limit adopts the direction-sensitive index model, i.e. ,in, , , and All values ​​are constant; the cost function of the sensitivity limit Consistent with the launch limit cost function form, the overall cost of a multi-device system resulting from limit adjustments is: ; Frequency domain smoothing penalty: Regarding launch limits, ; Anti-interference limit, ; The overall smoothness penalty for multi-device systems is ; Interference margin penalty: If the interference margin is lower than the threshold Then a punishment will be imposed: The overall penalty for multi-device systems is ; The process of constructing the comprehensive objective function is as follows: In the The objective function synthesized in the next iteration is: In the formula, , , Each represents a weight.

5. The radiated emission and sensitivity limit joint optimization device for coexistence of multiple radio frequency devices according to claim 1, characterized in that, The constraints set in the constraint module are as follows: Launch limit upper and lower bound constraints: , , These represent the lower and upper limits of the emission limit, respectively. Disturbance immunity limit upper and lower bound constraints: , , These represent the lower and upper bounds of the disturbance rejection limit, respectively. Hard constraint on disturbance margin: .

6. The radiated emission and sensitivity limit joint optimization device for coexistence of multiple radio frequency devices according to claim 1, characterized in that, The optimization problem-solving module is specifically used to randomly select frequency points, and to randomly extract one frequency point in each iteration. ; Construct QP subproblems and apply them to the objective function. By making a local second-order approximation and locally linearizing the constraints, a solvable quadratic programming subproblem can be formed. To determine the update direction, the step direction is obtained using the KKT conditions. ; The step size is determined by line search, and the corresponding step size coefficient µ is selected so that the updated solution satisfies the descent and constraint conditions. Update and optimize variables. ; If the subproblem is not feasible, the original solution remains unchanged to ensure that the security constraints of the multi-device system are not violated.

7. A method for joint optimization of radiated emission and sensitivity limits for the coexistence of multiple radio frequency devices, characterized in that, The radiated emission and sensitivity limit joint optimization apparatus for the coexistence of multiple radio frequency devices as described in any one of claims 1-6, wherein the joint optimization method comprises the following steps: S1. Traverse all transmitting and receiving devices and calculate the radiation coupling gain of a multi-device system consisting of multiple transmitting and receiving devices. S2. Obtain the transmission value of each transmitting device at the set frequency point, obtain the sensitivity of each receiving device at the set frequency point, combine the radiation coupling gain of the multi-device system, calculate the superimposed interference power received by the receiving device at the set frequency point from all transmitting devices, and then calculate the interference margin of the receiving device at the set frequency point based on the interference power. S3. Construct a comprehensive objective function that includes the overall cost of the multi-device system, smoothness penalty, and disturbance margin penalty; S4. Set constraints and construct an optimization problem. Set upper and lower bound constraints for transmission limits, upper and lower bound constraints for sensitivity limits, hard constraints for minimum interference margin, and constraints for transmission direction consistency at all frequency points, and form a frequency-level constrained optimization problem. S5. The sequential quadratic programming method is used to iteratively solve the optimization problem. During the iteration process, frequency points are randomly selected to construct local quadratic programming subproblems, solve the update direction and step size, and combine line search to update the emission and sensitivity limits. S6. Based on the current minimum interference margin of the multi-device system, dynamically adjust the weights of each item in the comprehensive objective function. When the iteration stopping condition is met, output the transmit limit and sensitivity limit of the multi-device system at all frequency points.

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