Dynamic frequency band residence time optimization design method

Abstract

The invention provides a dynamic frequency band residence time optimization design method, which provides rapid theoretical and design guidance for the design of the frequency band residence time of a non-cooperative signal receiving system, solves the problems of time consumption and labor consumption of a trial and error method in practical engineering application, and has the time complexity of O (1). The main operation time is the execution time of the interior point-penalty function nonlinear optimization iterative algorithm, and the overall operation time of the method is not increased along with the increase of the number of new tasks received at the same time. Meanwhile, according to the method, a high-front-end interception probability expected value is specified preferentially, and a frequency band residence time set value is automatically optimized in real time according to signal receiving task parameters, so that the problem of high dependence on knowledge and experience of system operators in actual engineering application is solved, the problem that a fixed value is difficult to adapt to the randomness and diversity requirements of signal receiving tasks is solved, and the method is suitable for large-scale popularization and application. And the high front-end interception probability cannot be ensured.

Description

Technical Field

[0001] The present invention relates to the technical field of non-cooperative signal reception, and in particular to a method for optimizing the design of a dynamic frequency band dwell time. Background Art

[0002] Improving the front-end interception probability of the non-cooperative signal receiving system to ensure fast and accurate interception of external radiation source signals is one of the basic requirements of the system. Based on the working characteristics of the radiation source and the signal receiving system, in addition to meeting the energy conditions, the spatial domain interception conditions and frequency domain interception conditions must also be met to complete a front-end interception. The elements of spatial domain interception include the spatial domain scanning parameters of the radiation source (scanning period and beam width) and the spatial domain scanning parameters of the signal receiving system (scanning period and beam width). The frequency domain interception elements are mainly the frequency search parameters of the signal receiving system (frequency band search range and frequency band dwell time). The spatial domain scanning parameters of the radiation source are determined by the radiation source itself, and the spatial domain scanning parameters of the signal receiving system are mainly determined by the system structure design and the antenna system, which are usually difficult to adjust after the system design is completed. The frequency band search range needs to cover the frequency points of interest, which is generally relatively fixed. The frequency band dwell time is a system configurable item and needs to be optimized to ensure a high front-end interception probability.

[0003] Regarding how to optimize the frequency band dwell time to achieve a high front-end interception probability, domestic and foreign scholars have mainly focused on the impact of the band dwell time on the front-end interception probability, and have not given a specific optimization algorithm; in actual engineering applications, the determination of the frequency band dwell time mostly adopts the trial and error method, which is time-consuming and labor-intensive, and also requires system operators to have a high level of knowledge reserve and practical experience; in addition, the frequency band dwell time determined by on-site trial and error is usually a fixed value, which is difficult to adapt to the randomness and diversity requirements of signal reception tasks, and cannot guarantee a high interception probability. Summary of the invention

[0004] The present invention aims to provide a dynamic frequency band dwell time optimization design method to achieve a high front-end interception probability, solve the time-consuming and labor-intensive problems of trial and error in actual engineering applications and the high dependence on the knowledge and experience of system operators, and solve the problem that fixed values ​​are difficult to adapt to the randomness and diversity requirements of signal reception tasks and cannot guarantee a high front-end interception probability.

[0005] The present invention provides a method for optimizing the design of a dynamic frequency band dwell time, comprising the following steps:

[0006] Step 1: According to the application scenario of the non-cooperative signal receiving system, determine the expected value of the front-end interception probability P, which can correctly sort and identify the required number of interceptions γ≥1;

[0007] Step 2: Confirm whether a new signal receiving task is received. If so, go to step 3. Otherwise, maintain the original execution parameter settings and the original frequency band dwell time setting value.

[0008] Step 3: Determine the new task parameters, including the number of new tasks N received at the same time, the radiation source antenna scanning pattern of the i-th new task, and the rotation speed r 2i , beam width θ 2i , signal frequency domain range F 2i 、Signal airspace range D 2i and pulse repetition period range PRI 2i , and calculate the radiation source spatial scanning period T1 of the new task 2i The window width corresponds to the beam width of the radiation source

[0009] Step 4: Calculate the parameters to be executed based on the current task parameters and the new task parameters, including the radiation source airspace scanning period T1 3 , the beam width of the radiation source corresponds to the window width Signal frequency domain range F 3 , signal airspace range D 3 and pulse repetition period range PRI 3 ;

[0010] Step 5: Determine the spatial scanning period T2 of the signal receiving system according to the parameters to be executed 3 , the beam width of the signal receiving system corresponds to the window width Frequency band search range corresponds to duration T3 3 , the time required to reach the expected front-end interception probability P is T 3 And the maximum pulse repetition period PRI of the radiation source signal that needs to be correctly sorted and identified max 3 ;

[0011] Step 6: Based on the window function model, we can obtain the coincidence probability P0 at any time, the average coincidence time width τ0, the average coincidence period T0, and T 3 The front-end interception probability P1(T 3 );

[0012] Step 7: Find the frequency band dwell time The maximum value problem is abstracted into a nonlinear optimization problem under constraints;

[0013] Step 8: Solve the nonlinear optimization problem under the constraints in step 7 according to the interior point-penalty function method, and give the initial point τ3 of the iteration 3(0) , the initial barrier factor r0>0, the barrier factor reduction coefficient β∈(0,1), the allowable error ε>0, and the number of iterations λ=0;

[0014] Step 9: Construct barrier function;

[0015] Step 10: If point, the judgment accuracy meets d (λ) <ε, then stop the calculation and get the objective function The approximate minimum point of Go to step 11; otherwise, use the steepest descent method to solve the unconstrained minimum point of the barrier function. Then let r λ+1 =βr λ , λ=λ+1, return to step 9;

[0016] Step 11: Take The opposite of The maximum point

[0017] Step 12: Consider the maximum pulse repetition period PRI max 3 In order to correctly sort and identify the radiation source signal, it is necessary to intercept the signal at least γ times within the same frequency band residence time to obtain the frequency band residence time. Minimum value of

[0018] Step 13: To ensure the front-end interception probability within time T 3 P can be reached within 10 seconds, and at least γ pulses can be intercepted within the same frequency band residence time. The maximum pulse repetition period is PRI max 3 The radiation source signal is used for sorting and identification data processing, and the frequency band dwell time The optimal setting range And take the maximum value within the optimal range as the frequency band residence time of the required execution parameters The optimal setting value

[0019] Furthermore, in step 3, the radiation source spatial scanning period is calculated

[0020] i=1,2,…,N;

[0021] Among them, range 2i is the scanning angle range corresponding to the scanning pattern of the radiation source antenna of the i-th new task. Further, in step 3, the window width corresponding to the radiation source beam width is calculated i=1,2,…,N.

[0022] Furthermore, in step 4, the radiation source spatial scanning period T1 is required to be executed in the parameters. 3, the beam width of the radiation source corresponds to the window width Signal frequency domain range F 3 , signal airspace range D 3 , Pulse repetition period range PRI 3 They are as follows:

[0023] T1 3 =max{T1 1 ,T1 21 ,T1 22 ,…,T1 2i ,…,T1 2N}i=1,2,…,N

[0024]

[0025] F 3 =F 1 ∪F 21 ∪F 22 …∪F 2i …∪F 2N i=1,2,…,N

[0026] D 3 =D 1 ∪D 21 ∪D 22 …∪D 2i …∪D 2N i=1,2,…,N

[0027] PRI 3 =PRI 1 ∪PRI 21 ∪PRI 22 …∪PRI 2i …∪PRI 2N i=1,2,…,N

[0028] In the current mission parameters, the radiation source airspace scanning period is T1 1 , the beam width of the radiation source corresponds to the window width The signal frequency domain range is F 1 , the signal airspace range is D 1 , pulse repetition period range is PRI 1 .

[0029] Furthermore, in step 5, the signal receiving system spatial domain scanning period T2 3 , the beam width of the signal receiving system corresponds to the window width Frequency band search range corresponds to duration T3 3 They are as follows:

[0030]

[0031] Among them, range 3 is the signal spatial domain range D 3 Corresponding angle range, r 3 is the antenna scanning speed of the signal receiving system, θ 3 is the beam width of the signal receiving system, F range 3 F is the signal frequency domain range 3 Corresponding frequency range, Band 3 is the instantaneous working bandwidth of the signal receiving system, is the frequency band dwell time.

[0032] Furthermore, in step 6, the coincidence probability P0 at any time, the average coincidence time width τ0, the average coincidence period T0, and T 3 The front-end interception probability P1(T 3 ), respectively as follows:

[0033]

[0034]

[0035] Furthermore, the objective function and constraints of the nonlinear optimization problem are as follows:

[0036]

[0037] Furthermore, in step 9, the barrier function is:

[0038] Furthermore, in step 10, the accuracy

[0039] Furthermore, in step 12, the frequency band dwell time Minimum value of for:

[0040] In summary, due to the adoption of the above technical solution, the beneficial effects of the present invention are:

[0041] 1. The present invention provides rapid theory and design guidance for the design of frequency band residence time of non-cooperative signal receiving systems, which solves the time-consuming and labor-intensive problem of trial and error in practical engineering applications. The time complexity is O(1), and the main operation time is the execution time of the interior point-penalty function nonlinear optimization iterative algorithm. The overall operation time of the method does not increase with the increase in the number of new tasks received simultaneously.

[0042] 2. The present invention gives priority to specifying an expected value of a high front-end intercept probability, and automatically optimizes the frequency band dwell time setting value in real time according to the signal reception task parameters, thereby solving the problem of high dependence on the knowledge and experience of system operators in actual engineering applications, and solving the problem that fixed values ​​are difficult to adapt to the randomness and diversity requirements of signal reception tasks and cannot guarantee a high front-end intercept probability.

[0043] 3. The present invention is a general method for dynamically optimizing the frequency band dwell time of a non-cooperative signal receiving system. BRIEF DESCRIPTION OF THE DRAWINGS

[0044] Figure 1 The figure is a flow chart of a method for optimizing the dynamic frequency band dwell time in an embodiment of the present invention.

[0045] Figure 2 Schematic diagram of the front-end intercept probability window function model in an embodiment of the present invention.

[0046] Figure 3 In the embodiment of the present invention The objective function value changes with the number of iterations. DETAILED DESCRIPTION

[0047] In order to make the purpose, 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 in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Generally, the components of the embodiments of the present invention described and shown in the drawings here can be arranged and designed in various different configurations.

[0048] Therefore, the following detailed description of the embodiments of the present invention provided in the accompanying drawings is not intended to limit the scope of the invention claimed for protection, but merely represents selected embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0049] Example

[0050] like Figure 1 As shown, this embodiment proposes a dynamic frequency band dwell time optimization design method, including the following steps:

[0051] Step 1: According to the application scenario of the non-cooperative signal receiving system, determine the expected value of the front-end interception probability P, which can correctly sort and identify the required number of interceptions γ≥1;

[0052] Step 2: Confirm whether a new signal receiving task is received. If so, go to step 3. Otherwise, maintain the original execution parameter settings and the original frequency band dwell time setting value.

[0053] Step 3: Determine the new task parameters, including the number of new tasks N received at the same time, the radiation source antenna scanning pattern of the i-th (i=1,2,…,N) new task, and the rotation speed r 2i (unit: r / min), beam width θ 2i (unit: °), signal frequency domain range F 2i , signal airspace range D 2i , Pulse repetition period range PRI 2i , and calculate the radiation source spatial scanning period T1 of the new task 2i (Unit: s), the beam width of the radiation source corresponds to the window width (unit is s), as shown in formulas (1) and (2) respectively;

[0054]

[0055] Among them, range 2i is the scanning angle range corresponding to the antenna scanning pattern of the ith new task radiation source, in degrees;

[0056] Step 4: Calculate the parameters to be executed based on the current task parameters and the new task parameters. Assume that in the current task parameters, the radiation source airspace scanning period is T1. 1 (unit: s), the beam width of the radiation source corresponds to the window width: (unit is s), the signal frequency domain range is F 1 , the signal airspace range is D 1 , pulse repetition period range is PRI 1 , then the radiation source spatial scanning period T1 in the execution parameters needs to be 3 (unit: s), the beam width of the radiation source corresponds to the window width (unit: s), signal frequency domain range F 3 , signal airspace range D 3 , Pulse repetition period range PRI 3 As shown in formulas (3) to (7) respectively;

[0057] T1 3 =max{T1 1 ,T1 21 ,T1 22 ,…,T1 2i ,…,T1 2N}i=1,2,…,N (3)

[0058]

[0059] F 3 =F 1 ∪F 21 ∪F22 …∪F 2i …∪F 2N i=1,2,…,N (5)

[0060] D 3 =D 1 ∪D 21 ∪D 22 …∪D 2i …∪D 2N i=1,2,…,N (6)

[0061] PRI 3 =PRI 1 ∪PRI 21 ∪PRI 22 …∪PRI 2i …∪PRI 2N i=1,2,…,N (7)

[0062] Step 5: Determine the spatial scanning period T2 of the signal receiving system according to the parameters to be executed 3 (unit: s), beam width of signal receiving system corresponds to window width (unit: s), frequency band search range corresponding to duration T3 3 (in seconds), the time required to reach the expected front-end interception probability P T 3 (usually an integer multiple of T1 3 , in seconds) and the maximum pulse repetition period PRI required to correctly sort and identify the radiation source signal max 3 (PRI 3 The maximum PRI within the range, in s), as shown in formula (8) to formula (10);

[0063]

[0064] Among them, range 3 is the signal spatial domain range D 3 Corresponding angle range, unit is °, r 3 is the antenna scanning speed of the signal receiving system, in r / min, θ 3 is the beam width of the signal receiving system, in degrees, F range 3 F is the signal frequency domain range 3 Corresponding frequency range, unit is MHz, Band 3 is the instantaneous working bandwidth of the signal receiving system, in MHz, is the frequency band dwell time, in seconds;

[0065] Step 6: Based on the window function model, we can obtain the coincidence probability P0 at any time, the average coincidence time width τ0, the average coincidence period T0, and T 3 The front-end interception probability P1(T 3 ), as shown in formulas (11) to (14) respectively;

[0066]

[0067] Step 7: Find the frequency band dwell time The maximum problem is abstracted into a nonlinear optimization problem under constraints and converted into the general form of constrained nonlinear optimization. The objective function and constraints are shown in formulas (15) and (16) respectively.

[0068]

[0069]

[0070] Step 8: Solve the nonlinear optimization problem under the constraints in step 7 according to the interior point-penalty function method, and give the initial point τ3 of the iteration 3(0) , the initial barrier factor r0>0, the barrier factor reduction coefficient β∈(0,1), the allowable error ε>0, and the number of iterations λ=0;

[0071] Step 9: Construct a barrier function, as shown in formula (17);

[0072]

[0073] Step 10: Determine the accuracy. If point, satisfying d (λ) <ε, then stop the calculation and get The approximate minimum point of Go to step 11; otherwise, use the steepest descent method to solve the unconstrained minimum point of the barrier function. Then let r λ+1 =βr λ , λ=λ+1, return to step 9, accuracy d (λ) As shown in formula (18);

[0074]

[0075] Step 11: Take The opposite of The maximum point Right now:

[0076]

[0077] Step 12: Consider the maximum pulse repetition period PRImax 3 In order to correctly sort and identify the radiation source signal, it is necessary to intercept the signal at least γ times within the same frequency band residence time, that is, formula (20) is established. According to formula (20), the frequency band residence time can be obtained Minimum value of As shown in formula (21);

[0078] τ0 ≥ γPRI max 3 (20)

[0079]

[0080] Step 13: To ensure the front-end interception probability within time T 3 P can be reached within 10 seconds, and at least γ pulses can be intercepted within the same frequency band residence time. The maximum pulse repetition period is PRI max 3 The radiation source signal is used for sorting and identification data processing, and the frequency band dwell time The optimal setting range of is shown in formula (22), and the maximum value in the optimal range is taken as the frequency band residence time of the required execution parameter The optimal setting value Round down to the nearest 0.001s.

[0081]

[0082] like Figure 2 As shown, the window function model means that the front-end interception probability is a geometric probability problem in a multi-dimensional signal space, which can be described by a window function model, that is, each dimensional interception condition is converted into a standard time window function, and then the front-end interception probability analysis is performed.

[0083] The interior point-penalty function nonlinear optimization algorithm refers to converting a constrained problem into an unconstrained problem by constructing a penalty function, and then solving the constrained problem with an unconstrained optimization method. The interior point method refers to setting an "obstacle" on the boundary of the feasible domain, and the entire iterative solution process is always carried out within the feasible domain.

[0084] The steepest descent method refers to selecting the negative gradient direction, that is, the objective function value The fastest descent direction is The iteration direction makes the objective function value quickly reach the minimum value and quickly obtain the minimum point

[0085] Example:

[0086] Based on Matlab simulation, the overall operation time of the method is 0.206s. The specific implementation steps of a dynamic frequency band dwell time optimization design method are as follows:

[0087] Step 1: Determine the expected value of the front-end intercept probability P = P set , the number of interceptions required for correct sorting and identification γ=γ set ;

[0088] Step 2: Determine whether a new signal receiving task is received;

[0089] Step 3: Receive a new task, and the new task parameters are: radiation source antenna circular scan, speed a 21 r / min, beam width b 21° , the signal frequency domain range is F 21 =[c 21 MHz,d 21 MHz], the signal airspace range is D 21 =[80°, 210°], pulse repetition period range is PRI 21 =[e 21 s,f 21 s], according to formula (1) and formula (2), we can calculate T1 21 =10s,

[0090] Step 4: Calculate the parameters to be executed based on the current task parameters and the new task parameters. Assume that the current task parameters of the system are the circular scanning of the radiation source antenna and the rotation speed a. 1 r / min, beam width b 1° , the signal frequency domain range is F 1 =[c 1 MHz,d 1 MHz], the signal airspace range is D 1 =[80°, 200°], pulse repetition period range is PRI 1 =[e 1 s,f 1 s], T1 can be calculated based on the radiation source antenna scanning pattern, rotation speed, and beam width 1 =12s, According to formulas (3) to (7), we can calculate that T1 3 =12s, F 3 =[m 3 MHz,n 3 MHz], D 3 =[80°, 210°], PRI 3 =[x 3 s,y 3 s];

[0091] Step 5: Signal receiving system instantaneous working bandwidth g 3 MHz, beam width h3°, antenna scanning speed a 3 r / min, calculated based on the parameters to be executed and formulas (8) to (10), T 3 =10T1 3 = 120s (10 times the radiation source airspace scanning period to achieve the expected front-end interception probability P set ), PRI max 3 =y 3 s(PRI 3 Maximum PRI within the range);

[0092] Step 6: T1 3 , T 3 Substituting into formulas (11) to (14), we can obtain the coincidence probability P0 at any time, the average coincidence time width τ0, the average coincidence period T0, and T 3 The front-end interception probability P1(T 3 );

[0093] Step 7: Find the frequency band dwell time The maximum value problem is abstracted into a nonlinear optimization problem under constraints. 3 ) and P are substituted into formulas (15) and (16) to obtain the objective function and constraint conditions;

[0094] Step 8: Given the initial point of iteration τ3 3(0) =0.05s, initial obstacle factor r0=1, obstacle factor reduction coefficient β=0.05, allowable error ε=1.000×10 -6 , the number of iterations λ = 0;

[0095] Step 9: Construct the barrier function according to formula (17);

[0096] Step 10: Determine the accuracy. After 12 iterations, d (12) =4.001×10 -7 <1.000×10 -6 , stop the calculation, the iteration ends, at this time Figure 3 Shown Curve showing objective function value changing with the number of iterations;

[0097] Step 11: Take The opposite of The maximum point get

[0098] Step 12: Consider the maximum pulse repetition period PRI max 3 =y 3 The correct sorting and identification of the radiation source signal of s requires that at least γ = γ be intercepted within the same frequency band dwell time. set According to formula (21), we can get

[0099] Step 13: To ensure the front-end interception probability within time T 3 =P = P can be reached within 120s set , and within the same frequency band dwell time, at least γ = γ set The second maximum pulse repetition period is PRI max 3 =y 3 s radiation source signal is used for sorting and identification data processing, and the frequency band residence time The optimal setting range is Take the maximum value within the optimal range as the frequency band dwell time of the required execution parameter The optimal setting value Round down to 0.001s, that is

[0100] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

Claims

1. A dynamic frequency band dwell time optimization design method, characterized in that: The steps include: Step 1: According to the application scenario of the non-cooperative signal receiving system, determine the expected value of the front-end interception probability P, which can correctly sort and identify the required number of interceptions γ≥1; Step 2: Confirm whether a new signal receiving task is received. If so, go to step 3. Otherwise, maintain the original execution parameter settings and the original frequency band dwell time setting value. Step 3: Determine the new task parameters, including the number of new tasks N received at the same time, the radiation source antenna scanning pattern of the i-th new task, and the rotation speed r 2i , beam width θ 2i , signal frequency domain range F 2i 、Signal airspace range D 2i and pulse repetition period range PRI 2i , and calculate the radiation source spatial scanning period T1 of the new task 2i The window width corresponds to the beam width of the radiation source Step 4: Calculate the parameters to be executed based on the current task parameters and the new task parameters, including the radiation source airspace scanning period T1 3 , the radiation source beam width corresponds to the window width Signal frequency domain range F 3 、Signal airspace range D 3 and pulse repetition period range PRI 3 ; Step 5: Determine the airspace scanning period of the signal receiving system based on the parameters to be executed Signal receiving system beam width corresponds to window width Frequency band search range corresponding to the duration The time required to reach the expected front-end interception probability P is T 3 And the maximum pulse repetition period PR of the radiation source signal that needs to be correctly sorted and identified max 3 ; Step 6: Based on the window function model, we can obtain the coincidence probability P0 at any time, the average coincidence time width τ0, the average coincidence period T0, and T 3 The front-end interception probability P1(T 3 ); Step 7: Find the frequency band dwell time The maximum value problem is abstracted into a nonlinear optimization problem under constraints; Step 8: Solve the nonlinear optimization problem under the constraints in step 7 according to the interior point-penalty function method, and give the initial point τ3 of the iteration 3(0) , the initial barrier factor r0>0, the barrier factor reduction coefficient β∈(0,1), the allowable error ε>0, and the number of iterations λ=0; Step 9: Construct barrier function; Step 10: If point, the judgment accuracy meets d (λ) <ε, then stop the calculation and get the objective function The approximate minimum point of Go to step 11; otherwise, use the steepest descent method to solve the unconstrained minimum point of the barrier function. Then let r λ+1 =βr λ , λ=λ+1, return to step 9; Step 11: Take The opposite of The maximum point Step 12: Consider the maximum pulse repetition period PRI max 3 In order to correctly sort and identify the radiation source signal, it is necessary to intercept the signal at least γ times within the same frequency band residence time to obtain the frequency band residence time. Minimum value of Step 13: To ensure the front-end interception probability within time T 3 P can be reached within 10 seconds, and at least γ pulses can be intercepted within the same frequency band residence time. The maximum pulse repetition period is PRI max 3 The radiation source signal is used for sorting and identification data processing, and the frequency band dwell time The optimal setting range And take the maximum value within the optimal range as the frequency band residence time of the required execution parameters The optimal setting value 2. The dynamic frequency band dwell time optimization design method according to claim 1, characterized in that: In step 3, calculate the radiation source spatial scanning period Among them, range 2i is the scanning angle range corresponding to the antenna scanning pattern of the ith new task radiation source.

3. The dynamic frequency band dwell time optimization design method according to claim 1, characterized in that: In step 3, calculate the window width corresponding to the beam width of the radiation source 4. The method for optimizing the dynamic frequency band dwell time according to claim 1, characterized in that: In step 4, the parameters to be executed include the radiation source spatial scanning period T1 3 , the radiation source beam width corresponds to the window width Signal frequency domain range F 3 、Signal airspace range D 3 , Pulse repetition period range PRI 3 They are as follows: T1 3 =max{T1 1 ,T1 21 ,T1 22 ,…,T1 2i ,…,T1 2N } i=1,2,…,N F 3 =F 1 ∪F 21 ∪F 22 …∪F 2i …∪F 2N i=1,2,…,N D 3 =D 1 ∪D 21 ∪D 22 …∪D 2i …∪D 2N i=1,2,…,N PRI 3 =PRI 1 ∪PRI 21 ∪PRI 22 …∪PRI 2i …∪PRI 2N i=1,2,…,N In the current mission parameters, the radiation source airspace scanning period is T1 1 , the beam width of the radiation source corresponds to the window width The signal frequency domain range is F 1 , the signal airspace range is D 1 , pulse repetition period range is PRI 1 .

5. The dynamic frequency band dwell time optimization design method according to claim 1, characterized in that: In step 5, the signal receiving system scans the airspace for period T2 3 , the beam width of the signal receiving system corresponds to the window width Frequency band search range corresponds to duration T3 3 They are as follows: Among them, range 3 is the signal spatial domain range D 3 Corresponding angle range, r 3 is the antenna scanning speed of the signal receiving system, θ 3 is the beam width of the signal receiving system, F range 3 F is the signal frequency domain range 3 Corresponding frequency range, Band 3 is the instantaneous working bandwidth of the signal receiving system, is the frequency band dwell time.

6. The dynamic frequency band dwell time optimization design method according to claim 1, characterized in that: In step 6, the coincidence probability P0 at any time, the average coincidence time width τ0, the average coincidence period T0, and T 3 The front-end interception probability P1(T 3 ), respectively as follows:

7. The method for optimizing the dynamic frequency band dwell time according to claim 1, characterized in that: In step 7, the objective function and constraints of the nonlinear optimization problem are as follows:

8. The method for optimizing the dynamic frequency band dwell time according to claim 1, characterized in that: In step 9, the barrier function is:

9. The method for optimizing the dynamic frequency band dwell time according to claim 1, characterized in that: In step 10, the accuracy 10. The method for optimizing the dynamic frequency band dwell time according to claim 1, characterized in that: In step 12, the frequency band dwell time Minimum value of for:

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