CN111679249B - Radio frequency stealth-based frequency control array radar radiation power control method - Google Patents
Radio frequency stealth-based frequency control array radar radiation power control method Download PDFInfo
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- CN111679249B CN111679249B CN202010504069.3A CN202010504069A CN111679249B CN 111679249 B CN111679249 B CN 111679249B CN 202010504069 A CN202010504069 A CN 202010504069A CN 111679249 B CN111679249 B CN 111679249B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/03—Details of HF subsystems specially adapted therefor, e.g. common to transmitter and receiver
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/023—Interference mitigation, e.g. reducing or avoiding non-intentional interference with other HF-transmitters, base station transmitters for mobile communication or other radar systems, e.g. using electro-magnetic interference [EMI] reduction techniques
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Abstract
The invention discloses a frequency control array radar radiation power control method based on radio frequency stealth, which comprises the following steps: determining the composition of a frequency control array radar system and target priori knowledge; respectively constructing Kelarmei-Row lower bound expressions for representing target azimuth parameter estimation performance and target distance parameter estimation performance of the frequency control array radar; establishing a frequency control array radar radiation power control mathematical model based on radio frequency stealth; and solving a frequency control array radar radiation power control mathematical model based on radio frequency stealth. The method not only meets the preset target azimuth parameter estimation performance and target distance parameter estimation performance requirements, but also effectively reduces the radiation power of the frequency control array radar, thereby improving the radio frequency stealth performance of the frequency control array radar system.
Description
Technical Field
The invention relates to a radar signal processing technology, in particular to a frequency control array radar radiation power control method based on radio frequency stealth.
Background
Since the first proposal of the frequency control array radar concept in 2006, frequency control array radars have received extensive attention from research institutions in various countries. As a novel system radar technology, the frequency control array radar can form a transmitting beam with distance dependence and angle dependence, and can effectively solve the problem that the traditional phased array radar can not effectively control the distance direction of a transmitting waveform. Therefore, the frequency control array radar has wide application prospect in the aspects of cognitive radar, multi-base radar, safety communication, radio frequency stealth and the like.
The radio frequency stealth technology is various active radiation control measures adopted by active electronic equipment such as radars, data chains, electronic interference and the like aiming at an enemy passive detection system. In general, the radiation power of active electronic devices cannot be reduced without limitation, because the electronic devices need to rely on radiated electromagnetic waves for operation. Therefore, the radio frequency stealth is characterized in that the radiation power of the electronic equipment is controlled under the condition of ensuring the required working performance of the electronic equipment, so that the probability of interception by a passive detection system is reduced.
However, no frequency control array radar radiation power control method based on radio frequency stealth exists in the prior art.
Disclosure of Invention
The invention aims to: in order to solve the defects in the prior art, the invention provides the radio frequency stealth-based control method for the radiation power of the frequency control array radar, which reduces the radiation power of the frequency control array radar and achieves the purpose of improving the radio frequency stealth performance of the frequency control array radar.
The technical scheme is as follows: in order to achieve the above purpose, the present invention adopts the following technical scheme:
a frequency control array radar radiation power control method based on radio frequency stealth comprises the following steps:
(1) Determining the composition of a frequency control array radar system and the priori knowledge of the azimuth angle and the position of a target;
(2) Respectively constructing Kelarmei-Row lower bound expressions for representing target azimuth parameter estimation performance and target distance parameter estimation performance of the frequency control array radar;
(3) Establishing a frequency control array radar radiation power control mathematical model based on radio frequency stealth;
(4) And solving a frequency control array radar radiation power control mathematical model based on radio frequency stealth.
Further, the intermediate frequency array control radar system in the step (1) comprises N array elements, wherein the frequency increment between two adjacent array elements is delta f, the array element distance is d, and the radar signal wavelength is lambda; in addition, according to priori knowledge, the azimuth angle of the target is theta, and the distance between the target and the frequency control array radar is R.
Further, the step (2) specifically comprises:
fisher information of frequency control array radar target azimuth parameter estimation is expressed as:
wherein d is the array element spacing, θ is the target azimuth angle, λ is the radar signal wavelength, N is the number of array elements in the frequency control array radar system, Δf is the frequency increment between two adjacent array elements, c is the light velocity, and SNR is the output signal-to-noise ratio of the frequency control array radar receiver, expressed as:
wherein P is t For the radiation power of the frequency control array radar, alpha is the scattering coefficient of the target relative to the frequency control array radar,noise power for a frequency-controlled array radar receiver;
similarly, fisher information for frequency-controlled array radar target distance parameter estimation is expressed as:
according to the formulas (1) and (3), respectively to J θ And J R And (3) obtaining inverse numbers to obtain a Kelarmei-Row lower bound expression of the target azimuth parameter estimation performance and the target distance parameter estimation performance of the frequency control array radar, wherein the Kelarmei-Row lower bound expression is as follows:
further, the step (3) specifically comprises:
estimating a performance threshold delta according to a preset target azimuth parameter θ And a target distance parameter estimation performance threshold delta R Establishing a frequency control array radar radiation power control mathematical model based on radio frequency stealth:
wherein P is t For controlling the radiation power of the array radar, CRLB θ Kelarmei-ro lower bound, CRLB, for estimating performance for frequency-controlled array radar target azimuth parameters R Estimating the lower crimex-ro bound, P of performance for target distance parameters max Is the maximum radiation power of the frequency control array radar.
Further, the step (4) specifically comprises:
order the
Wherein d is the array element distance, θ is the target azimuth angle, λ is the radar signal wavelength, N is the number of array elements in the frequency control array radar system, Δf is the frequency increment between two adjacent array elements, and c is the light speed;
through basic mathematical operation, solving a frequency control array radar radiation power control mathematical model based on radio frequency stealth, namely obtaining the radiation power value which enables the minimum radiation power of the frequency control array radar system to be:
wherein P is t * Representing frequency-controlled array radar radiation power P t Delta of the optimal solution θ Estimating a performance threshold, delta, for a target azimuth parameter R Estimating a performance threshold for the target distance parameter, alpha being a scattering coefficient of the target relative to the frequency control array radar,noise power, P, for a frequency-controlled array radar receiver max For the maximum radiation power of the frequency-controlled array radar, min { p, q } represents the minimum value of p and q, and max { a, b } represents the maximum value of a and b.
The beneficial effects are that: compared with the prior art, the invention has the following advantages:
(1) The invention provides a radio frequency stealth-based frequency control array radar radiation power control method, which is used for achieving the main task of considering a uniform linear array frequency control array radar consisting of a plurality of array elements and acquiring a target azimuth angle and a distance between the target and the frequency control array radar according to priori knowledge; then, respectively constructing Kelarmey-Row lower bound expressions for representing target azimuth parameter estimation performance and target distance parameter estimation performance of the frequency control array radar; on the basis, the method takes a preset target azimuth parameter estimation performance threshold and a preset target distance parameter estimation performance threshold as constraint conditions, takes the maximally reduced frequency control array radar radiation power as an optimized target, and establishes a frequency control array radar radiation power control mathematical model based on radio frequency stealth, so that the radiation power of the frequency control array radar is reduced, and the purpose of improving the radio frequency stealth performance of the frequency control array radar is achieved.
The method has the advantages that the method meets the preset target azimuth angle parameter estimation performance and target distance parameter estimation performance requirements, and effectively reduces the radiation power of the frequency control array radar, so that the radio frequency stealth performance of the frequency control array radar system is improved. The method takes a preset target azimuth parameter estimation performance threshold and a preset target distance parameter estimation performance threshold as constraint conditions, takes the minimum frequency control array radar radiation power as an optimization target, and establishes a frequency control array radar radiation power control mathematical model based on radio frequency stealth. By solving the mathematical model, the radiation power value with the minimum radiation power of the frequency control array radar system is used as an optimal solution under the condition that a preset target azimuth parameter estimation performance threshold and a preset target distance parameter estimation performance threshold are met, so that the aim of improving the radio frequency stealth performance of the frequency control array radar is fulfilled.
(2) Compared with the prior art, the radio frequency stealth-based control method for the radio frequency stealth-based control array radar radiation power not only meets the preset target azimuth parameter estimation performance and target distance parameter estimation performance requirements, but also effectively reduces the radiation power of the radio frequency stealth-based control array radar, thereby improving the radio frequency stealth performance of a radio frequency stealth-based control array radar system.
Drawings
FIG. 1 is a flow chart of a method for controlling the radiation power of a frequency control array radar based on radio frequency stealth;
fig. 2 is a diagram of a frequency-controlled array radar transmission array model.
Detailed Description
The construction and operation of the present invention will be further described with reference to the accompanying drawings.
According to the invention, from the practical engineering application requirement, a part of uniform linear array frequency control array radar consisting of a plurality of array elements is considered, and a target azimuth angle and the distance between the target and the frequency control array radar are obtained according to priori knowledge; then, respectively constructing Kelarmey-Row lower bound expressions for representing target azimuth parameter estimation performance and target distance parameter estimation performance of the frequency control array radar; on the basis, the method takes a preset target azimuth parameter estimation performance threshold and a preset target distance parameter estimation performance threshold as constraint conditions, takes the maximally reduced frequency control array radar radiation power as an optimized target, and establishes a frequency control array radar radiation power control mathematical model based on radio frequency stealth, so that the radiation power of the frequency control array radar is reduced, and the purpose of improving the radio frequency stealth performance of the frequency control array radar is achieved.
As shown in fig. 1, a frequency control array radar radiation power control method based on radio frequency stealth comprises the following steps:
1. determining the composition of a frequency control array radar system and the priori knowledge of the azimuth angle and the position of a target;
consider a uniform linear array frequency-controlled array radar consisting of N array elements, as shown in fig. 2, where the frequency increment between two adjacent array elements is Δf, the array element spacing is d, and the radar signal wavelength is λ. In addition, according to priori knowledge, the azimuth angle of the target is theta, and the distance between the target and the frequency control array radar is R.
2. Respectively constructing Kelarmei-Row lower bound expressions for representing target azimuth parameter estimation performance and target distance parameter estimation performance of the frequency control array radar;
fisher information of the frequency control array radar target azimuth parameter estimation can be expressed as:
wherein c is the speed of light, and SNR is the output signal-to-noise ratio of the frequency control array radar receiver, which can be expressed as:
wherein P is t For the radiation power of the frequency control array radar, alpha is the scattering coefficient of the target relative to the frequency control array radar,is the noise power of the frequency control array radar receiver.
Similarly, fisher information for frequency-controlled array radar target distance parameter estimation can be expressed as:
according to the formulas (1) and (3), respectively to J θ And J R And obtaining a Kelarmey-Row lower bound expression of the target azimuth parameter estimation performance and the target distance parameter estimation performance of the frequency control array radar by solving the reciprocal, wherein the Kelarmey-Row lower bound expression is as follows:
3. establishing a frequency control array radar radiation power control mathematical model based on radio frequency stealth;
estimating a performance threshold delta according to a preset target azimuth parameter θ And a target distance parameter estimation performance threshold delta R Establishing a frequency control array radar radiation power control mathematical model based on radio frequency stealth:
wherein P is max Is the maximum radiation power of the frequency control array radar.
4. Solving a mathematical model formula (6):
order the
Through basic mathematical operation, solving a model formula (6), and obtaining the radiation power value which enables the radiation power of the frequency control array radar system to be minimum under the condition that the preset target azimuth parameter estimation performance threshold and the preset target distance parameter estimation performance threshold are met:
wherein the superscript indicates the optimal solution, i.e. P t * Representing frequency-controlled array radar radiation power P t Min { p, q } represents the minimum value of p and q, and max { a, b } represents the maximum value of a and b.
The working principle and the working process of the invention are as follows:
firstly, considering a uniform linear array frequency control array radar composed of a plurality of array elements, and acquiring a target azimuth angle and a distance between the target and the frequency control array radar according to priori knowledge; then, respectively constructing Kelarmey-Row lower bound expressions for representing target azimuth parameter estimation performance and target distance parameter estimation performance of the frequency control array radar; on the basis, a preset target azimuth parameter estimation performance threshold and a preset target distance parameter estimation performance threshold are used as constraint conditions, the radiation power of the frequency control array radar is reduced to the maximum extent as an optimization target, and a frequency control array radar radiation power control mathematical model based on radio frequency stealth is established; finally, the constructed mathematical model is solved. By solving the mathematical model, the radiation power value P which enables the radiation power of the frequency control array radar system to be minimum under the condition that the preset target azimuth parameter estimation performance threshold and the preset target distance parameter estimation performance threshold are met is obtained t * As the optimal solution.
Claims (2)
1. A radio frequency stealth-based frequency control array radar radiation power control method is characterized by comprising the following steps:
(1) Determining the composition of a frequency control array radar system and the priori knowledge of the azimuth angle and the position of a target;
(2) Respectively constructing Kelarmei-Row lower bound expressions for representing target azimuth parameter estimation performance and target distance parameter estimation performance of the frequency control array radar; the method comprises the following steps:
fisher information of frequency control array radar target azimuth parameter estimation is expressed as:
wherein d is the array element spacing, θ is the target azimuth angle, λ is the radar signal wavelength, N is the number of array elements in the frequency control array radar system, Δf is the frequency increment between two adjacent array elements, c is the light velocity, and SNR is the output signal-to-noise ratio of the frequency control array radar receiver, expressed as:
wherein P is t For the radiation power of the frequency control array radar, alpha is the scattering coefficient of the target relative to the frequency control array radar,noise power for a frequency-controlled array radar receiver;
similarly, fisher information for frequency-controlled array radar target distance parameter estimation is expressed as:
according to the formulas (1) and (3), respectively to J θ And J R And (3) obtaining inverse numbers to obtain a Kelarmei-Row lower bound expression of the target azimuth parameter estimation performance and the target distance parameter estimation performance of the frequency control array radar, wherein the Kelarmei-Row lower bound expression is as follows:
(3) Establishing a frequency control array radar radiation power control mathematical model based on radio frequency stealth; the method comprises the following steps:
estimating a performance threshold delta according to a preset target azimuth parameter θ And a target distance parameter estimation performance threshold delta R Establishing a frequency control array radar radiation power control mathematical model based on radio frequency stealth:
wherein P is t For controlling the radiation power of the array radar, CRLB θ Kelarmei-ro lower bound, CRLB, for estimating performance for frequency-controlled array radar target azimuth parameters R Estimating the lower crimex-ro bound, P of performance for target distance parameters max Maximum radiation power of the frequency control array radar;
(4) Solving a frequency control array radar radiation power control mathematical model based on radio frequency stealth; the method comprises the following steps:
order the
Wherein d is the array element distance, θ is the target azimuth angle, λ is the radar signal wavelength, N is the number of array elements in the frequency control array radar system, Δf is the frequency increment between two adjacent array elements, and c is the light speed;
through basic mathematical operation, solving a frequency control array radar radiation power control mathematical model based on radio frequency stealth, namely obtaining the radiation power value which enables the minimum radiation power of the frequency control array radar system to be:
wherein P is t * Representing frequency-controlled array radar radiation power P t Delta of the optimal solution θ Estimating a performance threshold, delta, for a target azimuth parameter R Estimating a performance threshold for the target distance parameter, alpha being a scattering coefficient of the target relative to the frequency control array radar,noise power, P, for a frequency-controlled array radar receiver max For the maximum radiation power of the frequency-controlled array radar, min { p, q } represents the minimum value of p and q, and max { a, b } represents the maximum value of a and b.
2. The radio frequency stealth-based frequency control array radar radiation power control method according to claim 1, wherein the frequency control array radar system in the step (1) comprises N array elements, wherein the frequency increment between two adjacent array elements is Δf, the array element distance is d, and the radar signal wavelength is λ; in addition, according to priori knowledge, the azimuth angle of the target is theta, and the distance between the target and the frequency control array radar is R.
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| CN106896351A (en) * | 2017-02-09 | 2017-06-27 | 南京航空航天大学 | A kind of radar network composite Poewr control method based on non-cooperative game |
| CN108880647A (en) * | 2018-04-19 | 2018-11-23 | 深圳大学 | A kind of beam-steering methods based on frequency diversity array antenna |
| CN110426687A (en) * | 2019-08-08 | 2019-11-08 | 南京航空航天大学 | Bistatic radar radio frequency Stealth Waveform optimum design method |
Non-Patent Citations (2)
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| （"Frequency Diverse Array Radar Cramér-Rao Lower Bounds for Estimating Direction, Range, and Velocity";Yongbing Wang等;《International Journal of Antennas and Propagation》;20140408;第2014卷;第1-16页 * |
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