A calculation method for the radar detection power range facing team support jamming

Abstract

The present invention belongs to the field of electromagnetic information, and provides a method for calculating the radar detection power range for accompanying support jamming. The method includes: (10) performing data collection to obtain the basic radar parameters. (20) calculating the maximum detection range of the base radar. (30) determining whether there is an aircraft penetration. If there is no aircraft penetration, directly render through the Cesium tool according to the calculated maximum detection range to display the visualization effect without interference. Otherwise, plan the route of the penetrating aircraft. (40) determining the number of accompanying support jamming forces. (50) calculating the radar detection power range under accompanying support jamming. Render through the Cesium tool to achieve dynamic three-dimensional visualization. The beneficial effects are as follows: combining the visualization system with the interference suppression model to form an accompanying adaptive support interference suppression area model. First, establish a mathematical model based on the radar pattern function and detection distance as parameters through the basic radar equation, and then combine the implementation algorithm of the maximum radar detection range, and use the Cesium visualization tool to render the radar interference exposure area. This method can be used to accurately implement interference and penetration strategies, scientifically plan the assault and escort routes, and verify the effectiveness and rationality of the model system.

Description

Technical Field

[0001] The invention belongs to the field of electromagnetic information and discloses a method for calculating the detection power range of a radar for accompanying support interference. Background Art

[0002] Active radar jamming is a major and important component of radar countermeasures. Based on its tactical use, it can be categorized into long-range support jamming, accompanying support jamming, and self-defense jamming. Self-defense jamming generally protects the carrier itself and often employs deceptive jamming. Long-range support jamming employs large jammers outside the enemy's defense zone to support the attack of the penetration force. In-flight support jamming involves jammer-equipped jammers flying in formation with the attacking penetration force, with the jammers positioned near the target, and often employs suppressive jamming.

[0003] In information-based local warfare, the prerequisite for gaining air superiority is information control, and the core of information control is electromagnetic control. Therefore, electronic warfare aircraft have played a crucial role in every local war since the Gulf War. To achieve air superiority, assault aircraft require effective coordination with long-range jamming and accompanying jamming aircraft during penetration and assault. This can suppress enemy air defenses, rendering them ineffective, ensuring the safety of the assault aircraft and achieving the desired assault effect.

[0004] As aviation's long-range combat capabilities continue to improve, the operational radius of air assault formations will significantly exceed the effective range of long-range support jamming. To meet the need to suppress enemy air defenses, long-range combat formations often incorporate electronic warfare (ECM) aircraft to provide on-board jamming. In recent years, on-board jamming has gained significant attention from major military powers. Powerful nations like the United States and the United Kingdom have developed ECM aircraft based on their mature fighter platforms to provide on-board jamming. These aircraft have demonstrated effective penetration effectiveness in various local wars, significantly increasing the survival potential of on-board fighter aircraft. For example, the US military's EA-18 is a dedicated ECM aircraft equipped with an electronic warfare pod for on-board jamming, and has played a crucial role in its long-term operation.

[0005] The accompanying jamming system primarily consists of a carrier aircraft and a jamming system. In actual combat, there are two basic requirements for the accompanying jamming system to provide full-range accompanying jamming support: first, the jamming system's jamming direction must be roughly aligned with the flight direction of the protected attack aircraft, and second, the carrier aircraft must have a roughly equivalent flight speed to the protected attack aircraft. However, in combat practice, commanders often struggle to grasp the use of electronic countermeasures aviation when formulating long-range aviation combat plans. This is because existing quantitative analysis methods for radar suppression jamming typically calculate the enemy radar's effective jamming sector or effective detection area (jam exposure area) centered on the enemy radar.

[0006] Studying the radar detection range can grasp the overall situation of the war and master the battlefield situation at a higher level. However, traditional two-dimensional visualization methods have problems such as insufficient comprehensiveness and excessive abstraction in the display effect. As an indispensable electromagnetic device in the modern battlefield, how to represent the detection situation of the radar in three dimensions is an important content of studying the visualization of the battlefield electromagnetic situation. Combining the actual situation, based on the radar equation, a radar detection range model under different conditions is given, and the visualization of the radar detection range, the radar detection range under multiple interferences, the entity model of weapons and equipment, and the dynamic target process, etc., for the three-dimensional accompany support suppression area radar detection range is realized based on Cesium. Summary of the Invention

[0007] Aiming at the problems that the traditional two-dimensional visualization method in the accompany support interference suppression area has insufficient comprehensiveness and excessive abstraction in the display effect, and it is difficult to accurately represent the maximum radar detection distance range in three dimensions, the present invention proposes a visualization method for the radar detection power range facing accompany support interference.

[0008] The specific steps are as follows:

[0009] (10) Conduct data collection to obtain the basic radar parameters;

[0010] Radar parameters: θ is the azimuth angle; is the elevation angle; P t is the transmitting power of the radar antenna; G r is the power gain of the radar receiving antenna; G t is the power gain of the radar transmitting antenna; σ is the radar cross section; λ is the radar transmitting wavelength; k is the Boltzmann constant; F n is the noise figure; T0 is the receiver noise temperature; B n is the receiver co-frequency bandwidth; 5 Nmin is the minimum detectable signal-to-noise ratio; L is the system loss factor;

[0011] (20) Calculate the maximum detection range of the base radar;

[0012] (21) Set the azimuth sampling step size Fangweijiao_step, the azimuth sampling number Fangweijiao_m, the elevation sampling step size Fuyangjiao_step, and the elevation sampling number Fuyangjiao_m; the azimuth range of the radar detection range area is 0 ≤ θ ≤ 2π, and the azimuth sampling number can be obtained from the following formula: Fangweijiao_m = 2π / Fangweijiao_step; let the index i of the azimuth angle, 0 ≤ i ≤ Fangweijiao_m, then the azimuth angle θ at the i-th sampling point can be obtained:

[0013] θ = 0 + AzimuthAngle_Step × i

[0014] The elevation angle range of the detection range area of the radar is -π / 2 ≤ θ ≤ π / 2. The number of elevation angle sampling points can be obtained from the following formula: ElevationAngle_m = π / ElevationAngle_Step; Let the elevation angle index be j, 0 ≤ j ≤ ElevationAngle_m, then the elevation angle at the jth sampling point can be obtained

[0015]

[0016] (22) Calculation formula for the radar detection range in free space without interference:

[0017]

[0018] A single - unit ground - based radar is adopted. Therefore, the antenna transmit power gain is equal to the antenna receive power gain, that is, G r = G t ; P t is the transmit power of the radar antenna; G r is the power gain of the radar receiving antenna; G t is the power gain of the radar transmitting antenna; σ is the radar cross - section; λ is the radar transmit wavelength; k is the Boltzmann constant; F n is the noise figure; T0 is the receiver noise temperature; B n is the receiver co - frequency bandwidth; S Nmin is the minimum detection signal - to - noise ratio; L is the system loss factor;

[0019] (30) Determine whether there is an aircraft penetration. If there is no aircraft penetration, go to (60), and directly render the visualization effect without interference through the Cesium tool according to the calculated maximum detection range. Otherwise, plan the route of the penetrating aircraft;

[0020] When the escort jammer is performing tasks, it flies in a mixed formation with the penetrating aircraft group, penetrates and approaches the target simultaneously, and the escort jammer implements jamming to cover the combat operations of the penetrating aircraft group and improve the safety of combat operations;

[0021] According to the characteristics of the base radar, when the radar continuously observes a target within a certain time interval (t1, t2), the detection probability of this radar for this target can be obtained:

[0022]

[0023] In the above formula, r(t) represents the instantaneous probability density of detecting the target at time t:

[0024]

[0025] In the above formula, y0 is the detection threshold:

[0026]

[0027] In the above formula, n is the number of pulse accumulations, and S N (t) is the average signal-to-noise ratio of the radar receiver:

[0028]

[0029] P t is the transmitting power of the radar; G t is the gain in the main lobe direction of the radar antenna; σ is the radar cross section of the base radar; B j is the interference signal bandwidth of the escort jammer; L is the radar power loss factor; K is the radar antenna characteristic coefficient; B n is the radar receiver bandwidth; P j is the interference transmitting power of the escort jammer; G j is the gain of the escort jammer in the direction of the radar; R j is the distance between the escort jammer and the base radar; R(t) is the maximum detection distance of the radar; Therefore, the probability that the base radar cannot detect the penetration formation is:

[0030]

[0031] In the formula, the constant

[0032] Therefore, considering various factors based on the above content, plan the penetration route of the penetration aircraft, cooperate effectively with the escort jammer to ensure the safety of the assault aircraft, and achieve the expected assault effect;

[0033] (40) Determine the number of escort jamming forces;

[0034] To calculate the number of escort jamming forces, it is necessary to first master the basic parameters of the base radar, the deployment location, the scale and number of the penetration aircraft formation, the penetration route, the basic parameters of the jammer, and the allowable interference exposure radius R o-min ; The allowable interference exposure radius R o-min takes the distance from the launch position of the assault aircraft to the target;

[0035] It can be seen from the interference equation that under the interference condition, the maximum distance at which the radar can detect the target under the interference effect should be less than R o-min , in order to meet the condition that the penetration formation is not detected by the radar under the interference condition, that is:

[0036]

[0037] P t is the power of the radar transmitter, unit: W; G t is the radar antenna gain; P j is the effective power of the jammer, unit: W; G j is the jammer antenna gain; K j is the suppression coefficient; γ j is the polarization coefficient; σ is the radar cross section of the penetration aircraft on the target radar, unit: m 2 ; R o-min is the minimum exposure radius allowed for combat, unit: km;

[0038] Assume that the assault formation and the jammer are in a dense formation, and the configured jammer aircraft are of the same type. During the route flight phase, consider the jammer aircraft and the assault formation as one entity; that is:

[0039]

[0040]

[0041] m is the number of accompanying support jammers that effectively jam the target radar; n is the number of penetration aircraft in the formation; is the ceiling function; The empirical formula for the radar cross section of the formation is:

[0042]

[0043] (50) Calculate the radar detection power range under accompanying support jamming;

[0044] (51) According to the jammer parameters, the number of jammers m; Set the parameter k = 0; Calculate the parameter fenZi that has nothing to do with the jammer:

[0045]

[0046] (52) If k ≥ m, then execute step (54); Otherwise, calculate the angular difference between the k-th jammer and the current azimuth sampling point position, θ - ξ i , substitute it into the antenna gain G of the radar receiving end suppressed by the jammer i r (θ i ) Calculate:

[0047]

[0048] G r (θ i ) is the antenna gain of the radar receiving end suppressed by the jammer i, θ i is the angle formed by the radar main lobe direction and the line direction from the radar to the jammer i; The formula is:

[0049]

[0050] where θ i is the included angle in the azimuth between the azimuth of the radar main lobe beam radiation and the azimuth of the jammer; θ 0.5 is the width of the radar main lobe; G r is the power gain of the radar receiving antenna; K is a constant, taking 0.04 - 0.1;

[0051] (53) Calculate the variable fenMu related to the jammer k, k = k + 1, and execute step (52);

[0052]

[0053] (54) Calculate the sum of jammer variables fenMuSum;

[0054]

[0055] (55) Calculate Rmaxj;

[0056]

[0057] (56) Calculate the pattern factor Combine the pattern function to calculate the radar's operating range;

[0058] Considering the interference of the jammer on the radar detection range in the elevation angle direction, the radar antenna pattern function is:

[0059]

[0060] where: is the elevation angle of the radar antenna; δ 0.5 is the vertical beam width of the radar; δ is the elevation angle of the jammer; is the directivity function of the radar in the vertical plane;

[0061] Adopt the Gaussian antenna pattern function:

[0062]

[0063] where, is the radar beam width;

[0064] Combine the pattern function to calculate the radar's operating range:

[0065]

[0066] (60) Render through the Cesium tool to achieve dynamic 3D visualization;

[0067] (61) Calculate the coordinate points (X, Y, Z) in the three-dimensional Cartesian rectangular coordinate system of the radar, and add each obtained three-dimensional point coordinate to the array point[].

[0068]

[0069] (62) Convert the coordinate points in the three-dimensional Cartesian rectangular coordinate system into geocentric geodetic coordinates, and the coordinate points are represented by longitude L, latitude B, and altitude H.

[0070] (63) Render through the Cesium tool, perform three-dimensional modeling, and realize dynamic three-dimensional visualization.

[0071] The beneficial effects of the present invention are as follows: The present invention comprehensively considers the maximum power range of the radar under the conditions of with and without interference, and can accurately switch the maximum power range of the radar under the conditions of without jammer, one jammer, and multiple jammers.

[0072] The present invention takes into account the basic effectiveness of the escort support jamming, which can be reflected in the adaptive jamming process in a complex and diverse system, switch multiple jammers, and realize an escort support jammer group.

[0073] The present invention renders the three-dimensional radar detection power range through the Cesium tool to realize visualization. According to the dynamic programming jamming process, an escort support jamming model is selected, which has a distance advantage and a power advantage compared with the long-distance support jamming, can improve the jamming efficiency, and reflects the effectiveness and rationality of the model system. BRIEF DESCRIPTION OF THE DRAWINGS

[0074] Figure 1 It is a flowchart of the method steps of the present invention;

[0075] Figure 2 It is a system model diagram of the present invention;

[0076] Figure 3 It is a detailed flowchart of the method of the present invention;

[0077] Figure 4 It is an example of the present invention, a three-dimensional effect diagram when the penetration aircraft has not reached the radar detection range;

[0078] Figure 5 It is an example of the present invention, a three-dimensional effect diagram when the penetration aircraft reaches the radar azimuth angle of π / 3;

[0079] Figure 6 It is an example of the present invention, a three-dimensional effect diagram when the penetration aircraft reaches the radar azimuth angle of π / 2;

[0080] Figure 7 It is an example of the present invention, a three-dimensional effect diagram when the penetration aircraft reaches the radar azimuth angle of 2π / 3;

[0081] Figure 8 For an embodiment of the present invention, a three-dimensional effect diagram when a penetration aircraft flies out of the detection range of a radar.

[0082] To make the objectives, technical solutions and advantages of the present invention clearer and more understandable, the present invention will be further described in detail below with reference to the accompanying drawings.

[0083] The present invention is a calculation method in electromagnetic information, which can accurately realize the three-dimensional visualization of the maximum power range of a radar, so that it can be applied to the accompanying support jamming model to realize the dynamic process of the accompanying support jamming suppression area.

[0084] The design of the present invention proposes a visualization method for the radar detection power range for accompanying support jamming. The specific implementation steps according to the algorithm flow chart are as follows:

[0085] (10) Perform data acquisition to obtain the basic parameters of the radar;

[0086] Radar parameters: θ is the azimuth angle; is the elevation angle; P t is the transmitting power of the radar antenna; G r is the power gain of the radar receiving antenna; G t is the power gain of the radar transmitting antenna; σ is the radar cross section; λ is the radar transmitting wavelength; k is the Boltzmann constant; F n is the noise figure; T0 is the receiver noise temperature; B n is the receiver co-frequency bandwidth; S Nmin is the minimum detection signal-to-noise ratio: L is the system loss factor;

[0087] (20) Calculate the maximum detection range of the base radar;

[0088] (21) Set the azimuth angle sampling step Fangweijiao_step, the azimuth angle sampling number Fangweijiao_m, the elevation angle sampling step Fuyangjiao_step, and the elevation angle sampling number Fuyangjiao_m;

[0089] The azimuth angle range of the radar detection range area is 0 ≤ θ ≤ 2π, and the azimuth angle sampling number can be obtained from the following formula: Fangweijiao_m = 2π / Fangweijiao_step; Let the index of the azimuth angle be i, 0 ≤ i ≤ Fangweijiao_m, then the azimuth angle θ at the i-th sampling point can be obtained:

[0090] θ = 0 + Fangweijiao_step × i

[0091] The elevation angle range of the detection range area of the radar is -π / 2 ≤ θ ≤ π / 2, and the number of elevation angle sampling points can be obtained from the following formula: Fuyangjiao_m = π / Fuyangjiao_step; Let the elevation angle index be j, 0 ≤ j ≤ Fuyangjiao_m, then the elevation angle at the j-th sampling point can be obtained.

[0092]

[0093] (22) Radar detection range calculation formula in free space without interference:

[0094]

[0095] A single - unit ground - based radar is adopted. Therefore, the antenna transmit power gain is equal to the antenna receive power gain, that is, G r = G t ; P t is the transmit power of the radar antenna; G r is the power gain of the radar receiving antenna; G t is the power gain of the radar transmitting antenna; σ is the radar cross - section; λ is the radar transmit wavelength; k is the Boltzmann constant; F n is the noise figure; T0 is the receiver noise temperature; B n is the receiver co - frequency bandwidth; S Nmin is the minimum detection signal - to - noise ratio; L is the system loss factor;

[0096] (30) Determine whether there is an aircraft penetration. If there is no aircraft penetration, go to step (60); otherwise, plan the route of the penetrating aircraft.

[0097] When the escort jammer is performing tasks, it will fly in a mixed formation with the penetrating aircraft group, penetrate and approach the target simultaneously. The escort jammer will implement jamming to cover the combat operations of the penetrating aircraft group and improve the safety of combat operations.

[0098] According to the characteristics of the base radar, when the radar continuously observes a target within a certain time interval (t1, t2), the detection probability of this radar for this target can be obtained:

[0099]

[0100] In the above formula, r(t) represents the instantaneous probability density of detecting the target at time t:

[0101]

[0102] In the above formula, y0 is the detection threshold:

[0103]

[0104] In the above formula, n is the number of pulse accumulations, and S n (t) is the average signal-to-noise ratio of the radar receiver:

[0105]

[0106] P t is the transmitting power of the radar; G t is the gain in the main lobe direction of the radar antenna; σ is the scattering cross-section area of the base radar; B j is the interference signal bandwidth of the accompanying support jammer; L is the radar power loss factor; K is the radar antenna characteristic coefficient; B n is the radar receiver bandwidth; P j is the interference transmitting power of the accompanying support jammer; G j is the gain of the accompanying support jammer in the direction of the radar; R j is the distance between the accompanying support jammer and the base radar; R(t) is the maximum detection distance of the radar; Therefore, the probability that the base radar cannot detect the penetration formation is:

[0107]

[0108] In the formula, the constant

[0109] Therefore, considering various factors based on the above content, plan the penetration route of the penetration aircraft, cooperate effectively with the accompanying support jammer to ensure the safety of the assault aircraft and achieve the expected assault effect;

[0110] (40) Determine the number of accompanying support jamming forces;

[0111] To calculate the number of accompanying support jamming forces, it is necessary to first master the basic parameters of the base radar, the deployment location, the scale and number of the penetration aircraft formation, the penetration route, the basic parameters of the jammer, and the allowable interference exposure radius R o-min ; The allowable interference exposure radius R o-min takes the distance from the launch position of the assault aircraft to the target;

[0112] It can be seen from the interference equation that under interference conditions, the maximum distance at which the radar can detect the target under the action of interference should be less than R o-min , in order to meet the requirement that the penetration formation is not detected by the radar under interference conditions, that is:

[0113]

[0114] P t is the power of the radar transmitter, unit: W; G t is the radar antenna gain; P j is the effective power of the jammer, unit: W; Gj is the antenna gain of the jammer; K j is the suppression coefficient; γ j is the polarization coefficient; σ is the radar cross section of the penetration aircraft on the target radar, unit: m 2 ; R o-min is the minimum exposure radius allowed for combat, unit: km;

[0115] Assume that the assault formation and the jammer are in a dense formation, and the configured jammer aircraft are of the same type. During the route flight phase, the jammer aircraft and the assault formation can be regarded as a whole; that is:

[0116]

[0117]

[0118] m is the number of accompanying support jammers that effectively jam the target radar; n is the number of penetration aircraft in the formation; is the ceiling function; the empirical formula for the radar cross section of the formation is:

[0119]

[0120] (50) Calculate the radar detection power range under accompanying support jamming;

[0121] [[ID=3"]](51) According to the jammer parameters, the number of jammers m; set the parameter k = 0; calculate the parameter fenZi that has nothing to do with the jammer:

[0122]

[0123] (52) If k ≥ m, then execute step (54); otherwise, calculate the angle difference θ - ξ between the k-th jammer and the current azimuth sampling point position i , and substitute it into the antenna gain G r (θ i ) to calculate:

[0124]

[0125] G r (θ i ) is the antenna gain of the radar receiving end suppressed by the jammer i, and θ i is the angle formed by the main lobe direction of the radar and the line direction from the radar to the jammer i; the formula is:

[0126]

[0127] where θ i is the azimuth angle between the azimuth of the main lobe beam radiation of the radar and the azimuth of the jammer; θ0.5 is the main lobe width of the radar; G r is the power gain of the radar receiving antenna; K is a constant, taking 0.04 - 0.1;

[0128] (53) Calculate the variable fenMu related to the jammer k, k = k + 1, and execute step (52);

[0129]

[0130] (54) Calculate the sum of jammer variables fenMuSum;

[0131]

[0132] (55) Calculate Rmaxj;

[0133]

[0134] (56) Calculate the pattern factor Combine the pattern function to calculate the radar's operating range;

[0135] Considering the interference of the jammer on the radar detection range in the elevation angle direction, the radar antenna pattern function is:

[0136]

[0137] Where: is the elevation angle of the radar antenna; δ 0.5 is the vertical beam width of the radar; δ is the elevation angle of the jammer; is the directivity function of the radar in the vertical plane;

[0138] Adopt the Gaussian antenna pattern function:

[0139]

[0140] Where, is the radar beam width;

[0141] Combine the pattern function to calculate the radar's operating range:

[0142]

[0143] (60) Render through the Cesium tool to achieve dynamic 3D visualization;

[0144] (61) Calculate the coordinates (X, Y, Z) of the radar in the three-dimensional Cartesian coordinate system, and add each obtained three-dimensional point coordinate to the array point[];

[0145]

[0146] (62) Convert the coordinate points in the three-dimensional Cartesian rectangular coordinate system into geocentric geodetic coordinates, and the coordinate points are represented by longitude L, latitude B, and elevation H;

[0147] (63) Render through the Cesium tool, perform three-dimensional modeling, and achieve dynamic three-dimensional visualization.

[0148] Case analysis:

[0149] Adopt a single ground radar, and the basic parameters of the base radar are:; The transmit power P of the radar antenna t = 630 kW; The power gain G of the radar receiving antenna r = 33; The power gain G of the radar transmitting antenna t = 33; The radar cross-sectional area σ = 5; The radar transmission wavelength λ = 0.056; The Boltzmann constant k = 1.38e-23; The receiver's co-frequency bandwidth B n = 1600 kW; The minimum detection signal-to-noise ratio S Nmin = 2; The system loss factor L = 12; The number of pulse accumulations n = 16; The vertical beam width Horizontal beam width Antenna elevation angle

[0150] According to the plan, a follow-on support jammer is used to suppress the single ground radar, and the jammer parameters are: The number of jammers m = 1; The interference suppression coefficient K j = 2; The power P of the jammer j = 15000 W; The gain G of the jammer in the direction of the radar j = 9; The polarization loss γ of the interference signal of the jammer j = 0.5; The distance R from the jammer to the radar antenna j = 5000; The transmission bandwidth B of the jammer j = 1600 kW; The system loss factor L of the jammer j = 7; The azimuth angle of the jammer

[0151] Adopt the Gaussian radar pattern function, render through the Cesium tool, and finally obtain the three-dimensional visualization effect diagram.

[0152] Through the above analysis, the established model can be used to analyze the system performance.

[0153] The invention is not limited to the above embodiments. Anyone should know that the technical solutions identical or similar to the present invention made under the inspiration of the present invention shall fall within the protection scope of the present invention.

Claims

1. A method for calculating the radar detection power range for in-team support jamming, characterized in that The steps of the method are as follows: (10) Conduct data acquisition to obtain the basic radar parameters; (20) Calculate the maximum detection range of the base radar; Calculate the azimuth sampling step, the number of azimuth sampling points, and the elevation angle in the maximum detection distance of the radar. The azimuth range of the detection range area of the radar with the sampling step and the number of elevation angle sampling points is 0 ≤ θ ≤ 2π. The number of azimuth sampling points is obtained from the following formula: Fangweijiao_m = 2π / Fangweijiao_step; Let the index i of the azimuth angle satisfy 0 ≤ i ≤ Fangweijiao_m, then the azimuth angle θ at the i-th sampling point can be obtained as follows: θ = 0 + Fangweijiao_step × i The pitch angle range of the detection range area of the radar is -π / 2 ≤ θ ≤ π / 2, and the number of pitch angle sampling points is obtained by the following formula: Fuyangjiao_m = π / Fuyangjiao_step; Let the pitch angle index be j, 0 ≤ j ≤ Fuyangjiao_m, then the pitch angle at the j-th sampling point can be obtained Calculate the maximum detection distance Rmax(θ) at the azimuth angle corresponding to the i-th sampling point according to the input parameters; Calculate the maximum detection range under the monostatic radar based on the radar equation: Adopting a single - unit radar, the antenna transmit power gain is equal to the antenna receive power gain, i.e., G r = G t ; P t is the transmit power of the radar antenna; G r is the power gain of the radar receiving antenna; G t is the power gain of the radar transmitting antenna; σ is the radar cross - section; λ is the radar transmit wavelength; k is the Boltzmann constant; F n is the noise figure; T0 is the receiver noise temperature; B n is the receiver intermediate - frequency bandwidth; S Nmin is the minimum detectable signal - to - noise ratio; L is the system loss factor; (30) Determine whether there is an aircraft penetration. If there is no aircraft penetration, go to step (60); otherwise, plan the route of the penetrating aircraft; Determine whether there is an aircraft penetration. If there is no aircraft penetration, go to (60); otherwise, plan the route of the penetrating aircraft; When the escort jammer is performing a mission, it will fly in a mixed formation with the penetrating aircraft group, penetrate and approach the target simultaneously. The escort jammer will implement jamming to cover the combat operations of the penetrating aircraft group and improve the safety of combat operations; According to the characteristics of the base radar, when the radar continuously observes a target within a certain time interval (t1, t2), the detection probability of the radar for this target can be obtained: In the above formula, r(t) represents the instantaneous probability density of detecting the target at time t: In the above formula, y0 is the detection threshold: In the above formula, n is the number of pulse accumulations, and s N (t) is the average signal-to-noise ratio of the radar receiver: P t is the transmission power of the radar; G t is the gain in the main lobe direction of the radar antenna; σ is the radar cross section of the base radar; B j is the interference signal bandwidth of the escort jammer; L is the radar power loss factor; K is the radar antenna characteristic coefficient; B n is the bandwidth of the radar receiver; P j is the interference transmission power of the escort jammer; G j is the gain of the escort jammer in the direction of the radar; R j is the distance between the escort jammer and the base radar; R(t) is the maximum detection distance of the radar; Therefore, the probability that the base radar cannot detect the penetrating formation is: In the formula, the constant So, considering various factors based on the above content, plan the penetration route of the penetrating aircraft, cooperate effectively with the escort jammer to ensure the safety of the assault aircraft and achieve the expected assault effect; (40) Determine the number of escort jammer forces; To calculate the number of accompanying support jamming forces, it is necessary to first master the basic parameters of the base radar, the deployment location, the scale and quantity of the penetration aircraft formation, the penetration route, the basic parameters of the jammer, and the allowable jamming exposure radius R for the operation o-min ; the allowable jamming exposure radius R for the operation o-min Take the distance from the launch position of the assault aircraft to the target; It can be seen from the interference equation that under interference conditions, the maximum distance at which the radar detects the target under the action of interference is less than R o-min , which can meet the requirement that the assault formation cannot be detected by the radar under interference conditions, that is: P t is the radar transmitter power, unit: W; G t is the radar antenna gain; P j is the jammer effective power, unit: W; G j is the jammer antenna gain; K j is the suppression coefficient; γ j is the polarization coefficient; σ is the radar cross section of the penetration aircraft on the target radar, unit: m 2 ; R o-min The minimum exposure radius allowed for combat, unit: km; The assault formation and the jammers are in a dense formation, and the configured jammer aircraft are of the same type. During the route flight stage, the jammer aircraft and the assault formation are regarded as one entity, that is: m is the number of escort jammer for effectively jamming the target radar; n is the number of penetration aircraft within the formation; is the ceiling function; The empirical formula for the radar cross section of the formation is: (50) Calculate the radar detection power range under the escort jamming; According to the jammer parameters, the number of jammers m, set the parameter k = 0; Calculate the parameter fenZi that has nothing to do with the jammer: If k ≥ m, calculate the sum of jammer variables; otherwise, calculate the angular difference θ - ξ between the k-th jammer and the position of the current azimuth sampling point i , and substitute it into the antenna gain G of the radar receiving end suppressed by the jammer i r (θ i ) for calculation: G r (θ i ) is the antenna gain of the radar receiving end suppressed by the jammer i, and θ i is the included angle formed by the main lobe direction of the radar and the direction of the line connecting the radar to the jammer i. The formula is: where θ i is the included angle in the azimuth between the azimuth of the radar main lobe beam radiation and the azimuth of the jammer; θ 0.5 is the width of the radar main lobe; Gr is the power gain of the radar receiving antenna; K is a constant, taking 0.04 to 0.1; Calculate the variable fenMu related to the jammer k: k = k + 1, return to the previous step to judge k ≥ m; Calculate the sum of the jammer variables fenMuSum: Calculate Rmaxj: Calculate the pattern factor Combine the pattern function to calculate the radar's operating range, considering the interference of the jammer on the radar detection range in the elevation angle direction. The radar antenna pattern function is as follows: Wherein: is the elevation angle of the radar antenna; δ 0.5 is the vertical beam width of the radar; δ is the pitch angle of the jammer; is the directivity function of the radar in the vertical plane; Adopt the Gaussian antenna pattern function: Among them, is the radar beam width; Calculate the action range of the radar in combination with the pattern function: (60) Render through the Cesium tool to achieve dynamic three-dimensional visualization.

2. The radar detection power range calculation method for in-team support jamming according to claim 1, wherein The specific division steps of (60) are as follows: Calculate the coordinate points (X, Y, Z) in the three-dimensional Cartesian rectangular coordinate system of the radar, and add each obtained three-dimensional point coordinate to the array point[]; Convert the coordinate points in the three-dimensional Cartesian rectangular coordinate system into geocentric geodetic coordinates, and the coordinate points are represented by longitude L, latitude B, and elevation H; Render through the Cesium tool, perform 3D modeling, and achieve dynamic 3D visualization.

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