A networking radar interception probability performance evaluation method and system

Abstract

The application belongs to but is not limited to the technical field of radar signal processing, and discloses a networking radar interception probability performance evaluation method and system, a networking radar system model is established, the networking radar system comprises a plurality of transmitting nodes; radiation power is calculated: the radiation power of each transmitting node at each position in space is calculated through a radar equation; a critical signal-to-noise ratio of an interception receiver is calculated: the critical signal-to-noise ratio of a signal intercepted by an interceptor is obtained according to the detection probability and the false alarm probability of the interceptor; the equivalent radius of an easy interception area is calculated: according to the radiation power and the critical signal-to-noise ratio, the easy interception area of the networking radar is obtained, and then the corresponding equivalent radius of the easy interception area is calculated. The low-interception performance evaluation index of the application has clear physical meaning, can be used as a target function or a constraint condition to optimize radar parameters in the design of a low-interception probability radar, and reduces the probability that the radar system is intercepted.

Description

TECHNICAL FIELD

[0001] The present application belongs to the technical field of radar signal processing, and particularly relates to a networked radar interception probability performance evaluation method and system. BACKGROUND

[0002] With the increasingly complex battlefield environment and the development of electronic technology, the survivability of radar in actual combat is seriously threatened. In order to ensure the survivability of radar, the low probability of interception (LPI) technology has been greatly applied and developed. In order to obtain good detection performance and anti-interception performance, it is usually necessary to optimize the radar resources by using the LPI technology. The networked radar system composed of multiple radars has stronger detection performance and anti-interception performance. At present, the LPI performance evaluation of networked radar is still a problem worth paying attention to. The existing networked radar LPI evaluation methods mainly include interception factor, interception probability and radiation power. The interception factor of networked radar is obtained by equivalent networked radar to a single radar, so as to calculate the equivalent interception factor, and the LPI performance is realized by minimizing the interception factor of networked radar. However, considering the distribution of radars in the networked system, it is no longer reasonable to simply equivalent networked radar to a single radar from the physical meaning. The interception probability of networked radar is a function of the interceptor, and the prior information of the parameters and position of the interceptor is usually needed, which is not easy to obtain in actual application. Some methods take the radiation power of networked radar as the LPI performance evaluation index, minimize the radiation power of networked radar under the premise of meeting the detection performance, so as to realize the low interception probability. The reduction of the radiation power of networked radar will result in the reduction of the propagation intensity of the signal in space, so that the probability of being intercepted by the enemy reconnaissance machine will be reduced. However, since the radiation power of networked radar is an indirect measure of LPI performance, it is difficult to provide quantitative and intuitive evaluation.

[0003] In view of the above analysis, the existing technical problems to be solved in the prior art are that the existing networked radar interception probability performance evaluation method lacks consideration of the physical meaning and the obtainable prior information, and it is difficult to adapt to the performance evaluation of low probability of interception radar in radar networking, and there is a lack of a networked radar interception probability performance evaluation method which has physical meaning, is quantifiable and intuitive. SUMMARY

[0004] In view of the problems existing in the prior art, the present application provides a networked radar interception probability performance evaluation method, which can evaluate the low probability of interception performance of networked radar, and is a performance measurement method which has physical meaning, is quantifiable and can intuitively represent the low probability of interception performance.

[0005] The present application is implemented in the following manner: a networked radar interception probability performance evaluation method, comprising the following steps:

[0006] Step one, establishing a networking radar system model, the networking radar system comprising a plurality of transmitting nodes;

[0007] Step two, calculating radiation power: calculating the radiation power of each transmitting node at each position in space by radar equation;

[0008] Step three, calculating the critical signal-to-noise ratio of interception receiver: obtaining the critical signal-to-noise ratio of interception signal of the interceptor according to the detection probability and false alarm probability of the interceptor;

[0009] Step four, calculating the equivalent radius of the easy interception area: obtaining the easy interception area of the networking radar according to the radiation power and the critical signal-to-noise ratio, and then calculating the corresponding equivalent radius of the easy interception area.

[0010] Further, the transmitting nodes of the networking radar network in step one are m, and the average transmitting power of transmitting node m at time t is P Am,t .

[0011] Further, in step two, it is assumed that each transmitting node is a MIMO radar, and for transmitting node m, the radiation power at a distance of R Im can be expressed as:

[0012]

[0013] Further, in step three, the relationship between the critical signal-to-noise ratio SNR Ith of the intercepted signal, the detection probability p D of the interceptor and the false alarm probability p F can be expressed as:

[0014]

[0015] The critical signal-to-noise ratio SNR Ith of the intercepted signal of the interceptor can be obtained according to the values of the detection probability and the false alarm probability.

[0016] Further, in step four, the easy interception area A t of the networking radar at time t is:

[0017]

[0018] Where Area represents the area of the region satisfying the condition. Where N I represents the noise power of the interceptor, which can be specifically expressed as:

[0019] N I = KT I F I B I (4)

[0020] K is the Boltzmann constant. T I F I and B I These are the absolute temperature, noise figure, and bandwidth of the interceptor, respectively. Then, based on the networked radar's easily interceptable area A... t Calculate the equivalent radius NCEVR of the easily interceptable area. t Specifically, it can be expressed as:

[0021]

[0022] Another object of the present invention is to provide a network radar intercept probability performance evaluation system for a network radar intercept probability performance evaluation method, comprising:

[0023] The network radar system construction module is used to establish a network radar system consisting of multiple transmitting nodes;

[0024] The radiated power calculation module is used to calculate the radiated power of each transmitting node at each location in space using radar equations.

[0025] The critical signal-to-noise ratio calculation module is used to calculate the critical signal-to-noise ratio required for the intercept receiver to capture the signal under certain detection probabilities and false alarm probabilities.

[0026] The equivalent radius calculation module is used to calculate the vulnerable area of ​​the networked radar based on the radiated power and critical signal-to-noise ratio, and then calculate the equivalent radius of the corresponding vulnerable area.

[0027] Another object of the present invention is to provide a computer device, the computer device including a memory and a processor, the memory storing a computer program, and when the computer program is executed by the processor, causing the processor to perform the steps of the network radar interception probability performance evaluation method.

[0028] Another object of the present invention is to provide a computer-readable storage medium storing a computer program, which, when executed by a processor, causes the processor to perform the steps of the network radar interception probability performance evaluation method.

[0029] Another objective of this invention is to provide an information data processing terminal, which includes the aforementioned network radar interception probability performance evaluation system.

[0030] Based on the above technical solutions and the technical problems solved, the advantages and positive effects of the technical solution to be protected by this invention are as follows:

[0031] First, the existing low probability of intercept (LPI) networked radar lacks a physical meaningful, quantifiable and intuitive method for evaluating the probability of intercept (POI) performance. To solve this problem, the present application combines the critical signal-to-noise ratio (SNR) of an intercept receiver and the easy-intercept area (EIA) to calculate the EIA equivalent radius through a networked radar system model, thereby providing a LPI performance evaluation method suitable for networked radars.

[0032] The LPI performance evaluation method of the present application has a clear physical meaning and can be used as a quantitative index of the objective function or constraint condition in the design of a LPI radar to optimize the radar parameters and improve the anti-interception performance of the radar system.

[0033] Second, the technical solution of the present application fills the technical gap of the EIA equivalent radius in radar networking: the conventional EIA equivalent radius is calculated from a single radar EIA, but in radar networking, the conventional EIA equivalent radius and its simple superposition are no longer applicable due to the interaction between multiple radars and the overlap of the EIA. The present application provides an EIA equivalent radius suitable for radar networking and uses it as a LPI performance evaluation method for networked radars.

[0034] The technical solution of the present application solves the technical problem of the lack of a physical meaningful, quantifiable and intuitive POI performance evaluation method for networked radars: the existing POI evaluation methods for networked radars mainly include the intercept factor, the POI and the radiated power. The intercept factor equivalent networked radars to a single radar, ignoring the position distribution of the sub-radars. The POI requires prior information about the parameters and position of the intercept receiver, which is difficult to obtain in practical applications. The radiated power is an indirect measure of the interception performance and it is difficult to provide quantitative and intuitive evaluation. The present application provides a physical meaningful, quantifiable performance measurement method to intuitively represent the POI performance. BRIEF DESCRIPTION OF DRAWINGS

[0035] Figure 1 Fig. 1 is a flowchart of a networked radar POI performance evaluation method according to an embodiment of the present application;

[0036] Figure 2 Fig. 2 is a schematic diagram of a networked radar EIA according to an embodiment of the present application;

[0037] Figure 3 Fig. 3 is a block diagram of a networked radar POI performance evaluation system according to an embodiment of the present application;

[0038] Figure 4 Fig. 4 is a schematic diagram of a simulation scenario according to an embodiment of the present application;

[0039] Figure 5 Fig. 5 is a simulation result diagram of the networked radar EIA equivalent radius according to an embodiment of the present application. Detailed Implementation

[0040] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention.

[0041] This invention addresses the shortcomings of existing methods for evaluating the probability of intercept (LOI) performance of networked radars, which lack consideration of physical meaning and available prior information and are difficult to adapt to the performance evaluation of low-LOI radars in radar networking. It proposes and adopts the equivalent radius of the easy-to-intercept area of ​​networked radars to evaluate the LIO performance.

[0042] like Figure 1 As shown, this embodiment of the invention provides a method for evaluating the probability of interception performance of a networked radar, including the following steps:

[0043] Step 1: Establish a networked radar system model, which includes multiple transmitting nodes. The transmitting node in the networked radar network is m, and the average transmit power of transmitting node m at time t is P. Am,t .

[0044] Step 2, Calculate Radiated Power: Calculate the radiated power of each transmitting node at its location in space using radar equations. Assume each transmitting node is a MIMO radar, and for transmitting node m, the distance is R. Im The radiated power at that point can be expressed as:

[0045]

[0046] Step 3: Calculate the critical signal-to-noise ratio (SNR) for the interceptor receiver: Based on the detection probability and false alarm probability of the interceptor, obtain the critical SNR of the intercepted signal. The critical SNR of the intercepted signal is SNR. Ith The detection probability p of the interceptor D And the false alarm probability p F The relationship can be represented as:

[0047]

[0048] The critical signal-to-noise ratio (SNR) of the interceptor signal can be obtained from the values ​​of the detection probability and the false alarm probability. Ith .

[0049] Step 4: Calculate the equivalent radius of the vulnerable area: Based on the radiated power and critical signal-to-noise ratio, obtain the vulnerable area of ​​the networked radar, and then calculate the corresponding equivalent radius of the vulnerable area. The vulnerable area A of the networked radar at time t... t for:

[0050]

[0051] where Area represents the area of the region satisfying the condition. Figure 2 A set of MIMO networking radar system easy interception area diagrams are given, and the easy interception area is shown as the shaded part in the figure. Where N I represents the noise power of the interceptor, which can be specifically represented as:

[0052] N I = KT I F I B I (4)

[0053] K is the Boltzmann constant. T I , F I and B I are the absolute temperature, noise figure and bandwidth of the interceptor respectively. Then the equivalent radius NCEVR of the easy interception area A t is calculated according to the easy interception area of the networking radar t , which can be specifically represented as:

[0054]

[0055] As shown in Figure 3 , the embodiment of the present application provides a networking radar interception probability performance evaluation system of a networking radar interception probability performance evaluation method, comprising:

[0056] The networking radar system construction module is used to establish a networking radar system composed of multiple transmitting nodes.

[0057] The radiation power calculation module is used to calculate the radiation power of each transmitting node at each position in space through the radar equation.

[0058] The critical signal-to-noise ratio calculation module is used to calculate the critical signal-to-noise ratio required by the interception receiver to intercept the signal under the condition of a certain detection probability and false alarm probability.

[0059] The equivalent radius calculation module is used to calculate the easy interception area of the networking radar according to the radiation power and the critical signal-to-noise ratio, and then calculate the corresponding equivalent radius of the easy interception area.

[0060] Embodiment 1

[0061] (1) Establish a networking radar system model

[0062] In this embodiment, it is assumed that there are three transmitting nodes, denoted as node 1, node 2 and node 3. For simplicity, it is assumed that they are located on the same horizontal plane and are distributed at certain intervals. The average transmitting power of each node at a certain time is about 10 kilowatts (this value is only for example). Since the powers of the three nodes are the same, their coverage radiation characteristics can be uniformly processed in subsequent analysis.

[0063] (2) Calculation of radiation power

[0064] In calculating the radiation power of a node, a simplified radar equation can be used, mainly considering the average transmitting power of the node, the antenna gain, the effective scattering cross section, the distance and the path loss, etc. If it is assumed that the path loss factor (used to represent the power attenuation when propagating in free space or approximately free space) is 2, then as the distance increases, the power radiated by the node at each point in space will decay in the form of distance square. By performing grid calculation on the radiation power distribution of each node, and then superimposing the radiation distributions of the three nodes, the integrated radiation power of the system at any position can be obtained.

[0065] (3) Calculation of critical signal-to-noise ratio of intercept receiver

[0066] The critical signal-to-noise ratio of the intercept receiver is related to its ability to achieve a certain detection probability and control false alarm probability. Assuming that the detection probability is required to be 0.9 and the false alarm probability is one ten-thousandth (i.e. 1 x 10 -6 , in this embodiment, a threshold signal-to-noise ratio can be obtained by referring to relevant tables or using signal processing software according to conventional signal detection theory. For example, the threshold signal-to-noise ratio is about 13 decibels (converted to linear scale value about 20). When the ratio of the signal received by the receiver to the noise exceeds this threshold, the set detection and false alarm requirements can be met.

[0067] (4) Calculation of easily intercepted area and its equivalent radius

[0068] 1) Determine noise power

[0069] Assuming that the receiving bandwidth of the intercept receiver is 10 megahertz, the absolute temperature is 290 kelvin, and the noise figure is about 2, the system noise power can be calculated to be about 10 -14 watt level combined with the Boltzmann constant.

[0070] 2) Determine the easily intercepted area

[0071] When the ratio of the radiation power of the system at a point to the noise power of the intercept receiver is greater than the threshold signal-to-noise ratio determined above, the point belongs to the easily intercepted area. By traversing or grid dividing the entire monitoring plane, the easily intercepted area composed of all points satisfying this condition can be obtained. If the easily intercepted area obtained through numerical simulation is about 5.2 x 104 If the area is 1 square meter, it can be regarded as an equivalent circle, and the equivalent radius is about 128.5 meters.

[0072] 3) Result interpretation

[0073] This equivalent radius indicates that, under the combined force radiation of the three nodes of the networked radar, if the intercepting machine is within about 128.5 meters from the center of the system or the main coverage area (only referring to the concept of equivalent circular distance), it can obtain a signal that is sufficient to exceed the threshold signal-to-noise ratio, thereby achieving interception of the radar radiation.

[0074] Example 2

[0075] (1) Establishing a networked radar system model

[0076] In the second example, it is assumed that the networked radar includes four transmitting nodes with different transmitting powers, such as 15 kW for node 1, 10 kW for node 2, 8 kW for node 3, and 12 kW for node 4. Each node is distributed in a certain area and is also on the same horizontal plane. Due to the different power levels of the nodes, the individual node coverage distribution is no longer consistent, and needs to be calculated separately and then superimposed.

[0077] (2) Calculate the radiation power

[0078] In order to be more realistic, the path loss factor can be set between 1.8 and 2.2 to represent a more complex propagation environment. At this time, for each node, its own transmitting power, antenna gain, and scattering characteristics need to be considered, and numerical simulation and calculation of power attenuation in different radii or directions are needed. The radiation power generated by the four nodes in space is superimposed to obtain the comprehensive radiation value of the overall networked radar system at each point.

[0079] (3) Calculate the critical signal-to-noise ratio of the intercepting receiver

[0080] If in this example, the intercepting machine needs to ensure a higher detection probability, such as 0.95, and the false alarm probability is set to 1×10 -7 Then, through the same principle, a higher critical signal-to-noise ratio can be obtained, such as about 15 decibels (corresponding to a linear scale value of about 31.6). This means that the intercepting machine must receive a stronger signal to meet the required detection and false alarm indicators.

[0081] (4) Calculate the easy-to-intercept area and its equivalent radius

[0082] 1) Determine the noise power

[0083] If the receiving bandwidth of the intercepting machine is increased to 20 MHz, the noise figure is still 2, and the temperature is 290 K, the noise power calculated by combining the Boltzmann constant is slightly increased compared with Embodiment 1, about 10 -13 Watt level.

[0084] 2) Determine the easy-to-intercept area

[0085] According to the above method, the integrated radiation power of the networking radar system at each position is compared with the noise power, and compared with the higher critical signal-to-noise ratio, to obtain a new easy-to-intercept area. If the easy-to-intercept area estimated by simulation is 8.3 x 10 4 square meters, then the equivalent radius corresponding to the area is further calculated to be about 162.6 meters.

[0086] 3) Result interpretation

[0087] Due to the larger number of nodes, higher power of some nodes, and certain degree of superposition gain in the embodiment, although the detection threshold of the intercepting machine is improved, it still shows a larger easy-to-intercept area overall, indicating that in a wider range, the intercepting machine reaches the required signal-to-noise ratio and successfully intercepts the radar radiation.

[0088] In the above two embodiments, by giving the number of transmitting nodes, power level and path loss parameters, combined with the detection and false alarm requirements of the actual intercepting machine, the radiation power distribution of the networking radar is calculated, the critical signal-to-noise ratio of the intercepting machine is determined, and then the easy-to-intercept area of each system under different conditions is determined, and finally the easy-to-intercept area and the equivalent radius are quantitatively represented. The method of the present application can be flexibly applied to the performance evaluation of the confrontation between the networking radar and the intercepting machine in various station arrangement modes, frequency bands and power configurations. It can also be extended and analyzed in depth in combination with more complex terrain environment and motion platform factors.

[0089] The present application can be applied to the field of low-interception networking radar resource scheduling. The proposed performance evaluation method of the interception probability of the networking radar can be used as a performance parameter of the interception probability to optimize the objective function or constraint condition of the model, so as to realize the resource scheduling of the low-interception networking radar and improve the anti-interception performance.

[0090] In order to further demonstrate the positive effect of the performance evaluation method of the interception probability of the present application, it can be used as a performance parameter of the interception probability to optimize the model. Under the constraint condition of the detection performance, the equivalent radius of the easy-to-intercept area of the networking radar is minimized by scheduling the radar resources, so as to improve the anti-interception performance of the networking radar. For example Figure 4As an example, the networked radar performs a detection task on targets 1 to 10, and the networked radar specifically includes radars 1, 2, 3 and 4, and the motion trajectories are shown by dashed lines. Figure 5 The simulation results show that the application provides a physical and quantifiable performance measurement method to intuitively represent the interception probability performance, and the method can be used for optimization of the anti-interception performance of the networked radar, thereby improving the anti-interception performance of the networked radar, and the positive effect of the resource allocation method is embodied.

[0091] It should be noted that the embodiments of the application can be realized by hardware, software or a combination of hardware and software. The hardware part can be realized by special logic; the software part can be stored in a memory and executed by a suitable instruction execution system, such as a microprocessor or a specially designed hardware. Those skilled in the art can understand that the above-mentioned devices and methods can be realized by computer executable instructions and / or included in processor control codes, for example, such codes are provided on a carrier medium such as a magnetic disk, CD or DVD-ROM, a programmable memory such as a read-only memory (firmware) or a data carrier such as an optical or electronic signal carrier. The devices of the application and their modules can be realized by hardware circuits such as very large scale integrated circuits or gate arrays, semiconductors such as logic chips, transistors, etc., or programmable hardware devices such as field programmable gate arrays, programmable logic devices, etc., or by software executed by various types of processors, or by a combination of the above-mentioned hardware circuits and software, such as firmware.

[0092] The above is only a specific embodiment of the application, but the protection scope of the application is not limited thereto, and any modification, equivalent replacement and improvement made by those skilled in the art within the technical range disclosed by the application, as long as it is within the spirit and principle of the application, should be covered within the protection scope of the application.

Claims

1. A method for evaluating the radar acquisition probability performance of a network, characterized in that, The method comprises the following steps: Step one, establishing a networking radar system model, the networking radar system comprising a plurality of transmitting nodes; Step two, calculating radiation power: calculating the radiation power of each transmitting node at each position in space by a radar equation; Step three, calculating a critical signal-to-noise ratio of an intercept receiver: obtaining the critical signal-to-noise ratio of the intercept receiver in intercepting a signal according to a detection probability and a false alarm probability of the intercept receiver; Step four, calculating an equivalent radius of an easy-intercept area: obtaining the easy-intercept area of the networking radar according to the radiation power and the critical signal-to-noise ratio, and then calculating the equivalent radius corresponding to the easy-intercept area. The transmitting nodes of the networked radar network in the step one are m, and the average transmitting power of the transmitting node m at the time t is ; Each of the transmit nodes in the step two is a MIMO radar, and for the transmit node m, the distance is The radiation power at the point is represented as: (1) The step four in the t moment networked radar's easy interception area Is: (3) wherein represents an area of a condition-satisfied region; represents a critical signal-to-noise ratio for intercepting a signal; wherein represents a noise power of an intercepting machine, specifically represented as: (4) is the Boltzmann constant; , and are the absolute temperature, the noise figure and the bandwidth of the intercept receiver, respectively. Then the equivalent radius of the easy interception area of the netted radar is calculated The equivalent radius of the easy interception area is calculated which is specifically represented as (5)。 2. The networked radar probability of intercept performance evaluation method of claim 1, wherein, The critical signal-to-noise ratio of the intercepted signal in the third step The relationship between the detection probability of the intercept machine And the false alarm probability Is expressed as: (2) The critical signal-to-noise ratio at which the intercept machine intercepts the signal is obtained from the values of the detection probability and the false alarm probability .

3. A system for evaluating the probability of intercept performance of a netted radar according to the method of any one of claims 1 to 2, characterized in that, The method comprises: a networking radar system construction module, configured to establish a networking radar system comprising a plurality of transmitting nodes; a radiation power calculation module, configured to calculate the radiation power of each transmitting node at each position in space by a radar equation; a critical signal-to-noise ratio calculation module, configured to calculate a critical signal-to-noise ratio required by an intercept receiver in intercepting a signal under a certain detection probability and false alarm probability; an equivalent radius calculation module, configured to calculate an easy-intercept area of the networking radar according to the radiation power and the critical signal-to-noise ratio, and then calculate the equivalent radius corresponding to the easy-intercept area.

4. A computer device, comprising: The computer device comprises a memory and a processor, the memory stores a computer program, and the computer program is executed by the processor to make the processor execute the steps of the networking radar intercept probability performance evaluation method according to any one of claims 1-2.

5. A computer readable storage medium, characterized in that, The computer program is stored in the memory and is executed by the processor to make the processor execute the steps of the networking radar intercept probability performance evaluation method according to any one of claims 1-2.

6. An information data processing terminal, characterized by The information data processing terminal comprises the networking radar intercept probability performance evaluation system according to claim 3.

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