Radar interference decision-making method under incomplete information

Abstract

The invention discloses a radar interference decision-making method under incomplete information, and the method comprises the steps: building a strategy set of an interference party and a state set of a radar party based on a model of a game theory; according to the characteristics of each interference strategy, the earnings when each interference strategy is adopted in each radar state are set, so that a profit matrix is constructed; obtaining radar state information from the reconnaissance information, and selecting different target functions to calculate a maximum profit value according to whether the radar state information is completely obtained or not, so as to select an interference strategy with the best profit; according to the method, the interference decision is made by using the model of the game theory, so that the flexibility and adaptability of the decision are improved, and the uncertainty in a complex battlefield environment can be effectively dealt with. Through systematic analysis and modeling, a decision maker can make more accurate interference strategy selection, so that the overall combat ability is improved.

Description

Technical Field

[0001] The invention belongs to the technical field of radar countermeasures, and in particular relates to a radar interference decision-making method under incomplete information. Background Art

[0002] With the continuous development of radar signal processing, electronic information technology and hardware facilities, the structure of radar is becoming increasingly complex and its functions are becoming more and more powerful. Modern radar can not only measure basic information such as the distance, angle, speed, etc. of the target, but also perform more complex operations such as target identification, imaging and tracking.

[0003] Radar jammers and radar anti-jamming are naturally in a non-cooperative game. The radar hopes to improve its detection performance as much as possible, while the jammer hopes to damage the radar's detection performance as much as possible. Most current literature assumes that both parties in the game have complete knowledge of each other's strategies and utility functions. This assumption deviates from the facts. Due to the non-cooperation and conflict between the two parties, it is almost impossible for the radar and the jammer to fully grasp each other's information. The game between the two parties is an incomplete information game. Summary of the invention

[0004] The present invention proposes a radar jamming decision-making method under incomplete information. Under the actual condition of incomplete information, by setting the probability of each possible radar state, the weighted profit value of each jamming under all possible radar states is calculated, and the jamming strategy with the highest profit value is selected as the jamming strategy result, thereby deciding a more effective jamming strategy.

[0005] The technical solution to realize the present invention is: a radar interference decision method under incomplete information, the steps are as follows:

[0006] Step 1: Construct radar state set S and jamming strategy set G.

[0007] Step 2: According to the constructed radar state set S and jamming strategy set G, establish the profit matrix E.

[0008] Step 3: Obtain radar status information based on reconnaissance information.

[0009] Step 4: Determine whether the reconnaissance information is completely obtained, and then select different objective functions to calculate the maximum profit value.

[0010] Step 5: Recommend an interference strategy based on the calculated maximum profit value.

[0011] Compared with the prior art, the present invention has the following significant advantages: in actual games, the reconnaissance information is usually incomplete. Under the condition of actual incomplete information, the present method can calculate the weighted profit value of each interference under all possible radar states by setting the probability of each possible radar state, and select the interference strategy with the highest profit value as the interference strategy result, thereby deciding on a more effective interference strategy. BRIEF DESCRIPTION OF THE DRAWINGS

[0012] Figure 1 The figure is a flow chart of a radar interference decision-making method under incomplete information of the present invention.

[0013] Figure 2 A pulse pressure diagram drawn to simulate the use of suppression interference on a jammer.

[0014] Figure 3 A CFAR diagram drawn for simulating the use of suppression-type jamming on a jammer.

[0015] Figure 4 The identification curve diagram drawn for simulation using passive centroid interference. DETAILED DESCRIPTION

[0016] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. 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.

[0017] The following will further introduce the specific implementation method, as well as the technical difficulties and inventive points of this invention in combination with this design example.

[0018] The radar interference decision-making method under incomplete information described in the present invention comprises the following steps:

[0019] Step 1: Construct the radar state set S and the jamming strategy set G, as follows:

[0020] The radar state set consists of its working state and anti-interference measures. The radar working state set W = {w1, w2} = {search, tracking}, and the radar anti-interference measures set A = {a1, a2, a3, a4} = {agile frequency, sidelobe cancellation, co-frequency passive, front tracking}, so the radar state set S can be obtained by the permutation and combination of the elements in its working state set and the anti-interference measures set:

[0021]

[0022] Among them, s iIndicates radar status, i=1,2...8;

[0023] The jamming strategy consists of suppressive jamming, deceptive jamming, and passive jamming. The jamming strategy set G is obtained according to the jamming strategy:

[0024] G = {g1, g2, g3, g4, g5, g6, g7} (2)

[0025] Among them, g1 represents aiming interference, g2 represents blocking interference, g3 represents sweeping interference, g4 represents dragging interference, g5 represents false target interference, g6 represents passive center of mass interference, and g7 represents passive dilution interference.

[0026] Step 2: According to the constructed radar state set S and jamming strategy set G, establish the profit matrix E, as follows:

[0027] When the radar is in state s i , the jammer uses jamming method g j The profit function indicator is e ij Indicates that, the profit matrix of the interferer is E.

[0028]

[0029] The profit matrix construction principles are as follows:

[0030] 1) When the radar status is s i , i∈{1,2,3,4}, the jammer adopts the jamming strategy g j ,j∈{1,2,3,7} has better effect;

[0031] 2) When the radar status is s i ,i∈{5,6,7,8}, the jammer adopts the jamming strategy g j ,j∈{4,5,6} has better effect;

[0032] 3) When the radar status is s i , i∈{1,5}, the jammer adopts the jamming strategy g j ,j∈{2,3} has better effect;

[0033] 4) When the radar status is s i ,i∈{2,6}, the jammer adopts the jamming strategy g j ,j∈{1,2,3,4,5} has better effect;

[0034] 5) When the radar status is s i , i∈{4,8}, the jammer adopts the jamming strategy g j ,j∈{6,7} has a better effect.

[0035] Step 3: Obtain radar status information based on reconnaissance information, including:

[0036] Step 3.1: Obtain radar working status information w based on reconnaissance information m ;

[0037] Step 3.2: Obtain the anti-interference measures adopted by the radar based on the reconnaissance information n .

[0038] Step 4: Determine whether the reconnaissance information is completely obtained, and then select different objective functions to calculate the maximum profit value; specifically,

[0039] Step 4.1: If the radar status is complete, select the corresponding objective function to calculate the maximum profit value x k , the formula is as follows:

[0040]

[0041] Step 4.2: If the obtained radar status is incomplete, select the corresponding objective function to calculate the maximum profit value according to the strict criteria. The formula is as follows:

[0042]

[0043] Where P s5 ,P s6 ,P s7 ,P s8 is the probability of the radar adopting various anti-interference measures during the tracking phase, e 5j ,e 6j ,e 7j ,e 8j The profit value that can be obtained by adopting each interference strategy when the radar is in tracking state.

[0044] Step 5: Recommend an interference strategy based on the calculated maximum profit value.

[0045] Compared with the prior art, the advantages of the present invention are: in actual games, the reconnaissance information is usually incomplete. Under the condition of actual incomplete information, the method can calculate the weighted profit value of each interference under all possible radar states by setting the probability of each possible radar state, and select the interference strategy with the highest profit value as the interference strategy result, thereby deciding on a more effective interference strategy.

[0046] The contents involved in the above embodiment are described below in conjunction with a preferred embodiment.

[0047] Experimental scenario: The jammer interferes with the radar, where the radar parameters are as follows: the transmission power is 6000w, the center frequency is 3.1×109 Hz, pulse width is 100us, pulse repetition frequency is 2000Hz, bandwidth is 5MHz, and the target is 40km away from the radar. The profit matrix is ​​shown in Table 1.

[0048] Table 1 Profit Matrix

[0049] g1 g2 g3 g4 g5 g6 g7 s1 0.75 0.86 0.77 0.38 0.38 0.55 0.78 s2 0.72 0.66 0.73 0.31 0.35 0.49 0.83 s3 0.69 0.73 0.79 0.38 0.38 0.61 0.78 s4 0.67 0.76 0.69 0.38 0.38 0.72 0.86 s5 0.42 0.84 0.38 0.73 0.71 0.82 0.54 s6 0.43 0.46 0.45 0.76 0.73 0.86 0.63 s7 0.31 0.34 0.32 0.68 0.69 0.82 0.66 s8 0.41 0.43 0.45 0.79 0.73 0.76 0.82

[0050] Experimental results:

[0051] (1) If the radar is considered to be in the search state, the maximum benefit is:

[0052]

[0053] That is, the jammer can obtain the maximum profit value by using blocking jamming.

[0054] The jammer uses blocking jamming to simulate the effect. Figure 2-3 ; Figure 2 The figure shows the pulse pressure diagram drawn by simulating the jammer using blocking interference; Figure 3 The following is a CFAR diagram drawn by simulating the jammer using blocking interference. Figure 2-Figure 3 It can be seen that when blocking interference is used, the radar cannot detect target information;

[0055] (2) If the radar status information cannot be obtained, according to the strict criteria, it is assumed that the radar is in tracking state and the probability of the radar adopting various anti-interference measures is equal, that is,

[0056]

[0057] The interferer can obtain the maximum profit x6 by taking g6

[0058]

[0059] That is, the maximum profit value can be obtained by adopting passive centroid interference.

[0060] The identification curve drawn by simulation using passive centroid interference is as follows: Figure 4 .from Figure 4 It can be seen that when passive centroid interference is used, the radar detects the target time mark with an angle deviation.

Claims

1. A radar jamming decision-making method under incomplete information, characterized in that: Here are the steps: Step 1: Construct radar state set S and jamming strategy set G; Step 2: Establish a profit matrix E based on the constructed radar state set S and jamming strategy set G; Step 3: Obtain radar status information based on reconnaissance information; Step 4: Determine whether the reconnaissance information is completely obtained, and then select different objective functions to calculate the maximum profit value; Step 5: Recommend an interference strategy based on the calculated maximum profit value.

2. The radar jamming decision-making method under incomplete information according to claim 1, characterized in that: In step 1, the radar state set S and the jamming strategy set G are constructed as follows: The radar status set consists of its working status and anti-interference measures; The radar working state set W = {w1, w2} = {search, tracking}, and the radar anti-interference measures set A = {a1, a2, a3, a4} = {agile frequency, sidelobe cancellation, co-frequency passive, front tracking}, so the radar state set S is obtained by the permutation and combination of the elements in its working state set and the anti-interference measures set: Among them, s i Indicates radar status, i=1,2...8; The jamming strategy consists of suppressive jamming, deceptive jamming, and passive jamming. The jamming strategy set G is obtained according to the jamming strategy: G={g1,g2,g3,g4,g5,g6,g7} (2) Among them, g1 represents aiming interference, g2 represents blocking interference, g3 represents sweeping interference, g4 represents dragging interference, g5 represents false target interference, g6 represents passive center of mass interference, and g7 represents passive dilution interference.

3. The radar jamming decision-making method under incomplete information according to claim 1, characterized in that: In step 2, the profit matrix E is established based on the constructed radar state set S and jamming strategy set G, as follows: When the radar is in state s i , the jammer uses jamming method g j The profit function indicator is e ij Indicates that the profit matrix of the interferer is E; 4. The radar jamming decision-making method under incomplete information according to claim 3 is characterized in that: The profit matrix construction principles are as follows: 1) When the radar status is s i , i∈{1,2,3,4}, the jammer adopts the jamming strategy g j ,j∈{1,2,3,7} has better effect; 2) When the radar status is s i ,i∈{5,6,7,8}, the jammer adopts the jamming strategy g j ,j∈{4,5,6} has better effect; 3) When the radar status is s i , i∈{1,5}, the jammer adopts the jamming strategy g j ,j∈{2,3} has better effect; 4) When the radar status is s i ,i∈{2,6}, the jammer adopts the jamming strategy g j ,j∈{1,2,3,4,5} has better effect; 5) When the radar status is s i , i∈{4,8}, the jammer adopts the jamming strategy g j ,j∈{6,7} has better effect; Step 3: Obtain radar status information based on reconnaissance information, including: Step 3.1: Obtain radar working status information w based on reconnaissance information m ; Step 3.2: Obtain the anti-interference measures adopted by the radar based on the reconnaissance information n .

5. The radar jamming decision-making method under incomplete information according to claim 4 is characterized in that: In step 4, it is determined whether the reconnaissance information is completely obtained, and then different objective functions are selected to calculate the maximum profit value, including: Step 4.1: If the radar status is complete, select the corresponding objective function to calculate the maximum profit value x k , the formula is as follows: Step 4.2: If the obtained radar status is incomplete, select the corresponding objective function to calculate the maximum profit value according to the strict criteria. The formula is as follows: Where P s5 ,P s6 ,P s7 ,P s8 is the probability of the radar adopting various anti-interference measures during the tracking phase, e 5j ,e 6j ,e 7j ,e 8j The profit value that can be obtained by adopting each interference strategy when the radar is in tracking state.

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