CN111693950B - Radio frequency stealth transmitting power optimization method for sub-aperture-frequency control array radar - Google Patents
Radio frequency stealth transmitting power optimization method for sub-aperture-frequency control array radar Download PDFInfo
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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
- G01S7/40—Means for monitoring or calibrating
- G01S7/4004—Means for monitoring or calibrating of parts of a radar system
- G01S7/4008—Means for monitoring or calibrating of parts of a radar system of transmitters
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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
- G01S7/40—Means for monitoring or calibrating
- G01S7/4004—Means for monitoring or calibrating of parts of a radar system
- G01S7/4008—Means for monitoring or calibrating of parts of a radar system of transmitters
- G01S7/4013—Means for monitoring or calibrating of parts of a radar system of transmitters involving adjustment of the transmitted power
Abstract
The invention discloses a radio frequency stealth transmitting power optimization method aiming at a sub-aperture-frequency control array radar, which comprises the following steps: determining the composition of a sub-aperture-frequency control array radar system and target prior information; the estimation performance of the subaperture-frequency control array radar system on the target distance parameter and the azimuth angle parameter is characterized by adopting a Keramen-Row lower bound expression; establishing a radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar; and solving a radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar. The method not only meets the requirements of the given target distance parameter estimation Cramer-Row lower threshold and the target azimuth angle parameter estimation Cramer-Row lower threshold, but also effectively reduces the transmitting power of the sub-aperture-frequency control array radar system, thereby improving the radio frequency stealth performance of the system.
Description
Technical Field
The invention relates to a radar signal processing technology, in particular to a method for optimizing radio frequency stealth transmitting power of a sub-aperture-frequency control array radar.
Background
In 2006, the american scholars Antonik and Wicks first put forward the concept of a frequency-controlled array radar at the annual IEEE radar annual meeting, and then a huge reverberation is caused. A small frequency increment exists between adjacent array elements of the frequency control array radar array, and is far smaller than the carrier frequency. Thus, the beam pointing of the frequency control array radar has both angle dependence and distance dependence.
However, when the frequency-controlled array radar performs joint estimation of azimuth and distance to the target, the lower keramer-ro boundary of the frequency-controlled array radar azimuth and distance estimation becomes large. This is due to the coupling of the frequency-controlled array radar in azimuth and distance directions. Therefore, the traditional frequency control array radar is not suitable for directly carrying out joint estimation on the azimuth angle and the distance parameter of the target, and the sub-aperture-frequency control array radar can better overcome the difficult problem.
The radar radio frequency stealth technology is to shorten the effective acting distance of an enemy passive detection system to a radar by controlling the radio frequency radiation characteristics of own radar signals, and improve the survivability of a radar platform. Radar radio frequency stealth research is throughout the whole process of discovering, sorting, identifying and locating radar signals by an enemy passive detection system. Therefore, radar radio frequency stealth technology has important military significance and practical requirements.
However, no method for optimizing the radio frequency stealth transmit power of the sub-aperture-frequency control array radar 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 method for optimizing the radio frequency stealth transmitting power of the sub-aperture-frequency control array radar, which effectively reduces the transmitting power of the sub-aperture-frequency control array radar system and achieves the purpose of improving the radio frequency stealth performance of the system.
The technical scheme is as follows: in order to achieve the above purpose, the present invention adopts the following technical scheme:
the radio frequency stealth transmitting power optimizing method for the sub-aperture-frequency control array radar comprises the following steps:
(1) Determining the prior information of the sub-aperture-frequency control array radar system composition and the target distance and the target azimuth;
(2) The estimation performance of the subaperture-frequency control array radar system on the target distance parameter and the azimuth angle parameter is characterized by adopting a Keramen-Row lower bound expression;
(3) Establishing a radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar;
(4) And solving a radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar.
Further, the neutron aperture-frequency control array radar system in the step (1) comprises N T The system equally divides the uniform linear radar array into two subarrays, and the number of the array elements contained in each subarray is N S The array element distance of each subarray is D; the two subarrays adopt different frequency increments, wherein the first subarray element transmits the frequency increment of delta F 1 The second sub array element has the emission frequency increment of delta F 2 The wavelength of a sub-aperture-frequency control array radar transmitting signal is lambda;
in addition, according to battlefield prior information, the distance between the target and the sub-aperture-frequency control array radar is R, and the azimuth angle of the target relative to the sub-aperture-frequency control array radar is theta.
Further, the step (2) specifically comprises:
the Claimei-Row lower bound expression of the sub-aperture-frequency control array radar system for estimating the target distance parameter is as follows:
wherein, c is the speed of light,
wherein ,△F1 Transmitting a frequency increment, deltaF, for the first sub-array element 2 Transmitting the frequency increment for the second sub array element, N T Is the number N of array elements in the sub-aperture-frequency control array radar system S The number of array elements contained in each subarray;
SNR represents the output signal-to-noise ratio of a sub-aperture-frequency-controlled array radar receiver, expressed as:
wherein ,Prad The transmitting power of the sub-aperture-frequency control array radar,
for the scattering coefficient of the target relative to the sub-aperture-frequency-controlled array radar +.>
Noise power for a sub-aperture-frequency controlled array radar receiver;
the Claimei-Row lower bound expression of the subaperture-frequency control array radar system for estimating the target azimuth parameter is as follows:
wherein lambda is the wavelength of the transmitting signal of the sub-aperture-frequency control array radar, D is the array element distance of each sub-array, and theta is the azimuth angle of the target relative to the sub-aperture-frequency control array radar.
Further, in step (3), a Keramelteon lower bound threshold value xi is estimated according to a given target distance parameter R And a target azimuth parameter estimation caramet-ro lower bound threshold value ζ θ Establishing a radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar:
wherein ,Prad CRB is the transmitting power of the sub-aperture-frequency control array radar R Kelarmei-ro lower bound, CRB, for target range parameter estimation by sub-aperture-frequency controlled array radar system θ For the lower crimex-ro boundary of the sub-aperture-frequency control array radar system for target azimuth parameter estimation,
is the upper limit of the transmitting power of the sub-aperture-frequency control array radar.
Further, the solving of the radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar in the step (4) is specifically as follows:
order the
Wherein c is the speed of light, ΔF 1 Transmitting a frequency increment, deltaF, for the first sub-array element 2 Transmitting the frequency increment for the second sub array element, N T Is the number N of array elements in the sub-aperture-frequency control array radar system S For the number of array elements contained in each subarray, lambda is the wavelength of the transmitting signal of the subaperture-frequency control array radar, D is the array element distance of each subarray, theta is the azimuth angle of the target relative to the subaperture-frequency control array radar,
substituting the formula (7) and the formula (8) into the radio frequency stealth emission power optimization model of the sub-aperture-frequency control array radar in the step (3), so as to obtain the emission power value which enables the emission power of the sub-aperture-frequency control array radar system to be minimum under the condition that a given target distance parameter estimation Kramer-Row lower threshold and a target azimuth parameter estimation Kramer-Row lower threshold are met:
wherein ,
representing the transmitting power P of the sub-aperture-frequency control array radar rad Min { x, y } represents the minimum value of x and y, max { k, j } represents the maximum value of k and j, and->
Noise power for a sub-aperture-frequency controlled array radar receiver; zeta type toy R Estimating a krameria-roc lower bound threshold, ζ, for a target distance parameter θ Estimating a keramen-ro lower threshold for the target azimuth parameter,/>
For the scattering coefficient of the target relative to the sub-aperture-frequency-controlled array radar +.>
Is the upper limit of the transmitting power of the sub-aperture-frequency control array radar.
The beneficial effects are that: compared with the prior art, the invention has the following advantages:
(1) The invention provides a radio frequency stealth transmitting power optimization method aiming at a sub-aperture-frequency control array radar, which is used for solving the main task that a sub-aperture-frequency control array radar system is considered under the condition that coupling exists in the distance direction and the azimuth direction when the traditional frequency control array radar carries out parameter estimation on a target, a uniform linear radar array is equally divided into two subarrays, and each subarray adopts different frequency increment; based on the above, according to the prior information of the battlefield, the distance between the target and the sub-aperture-frequency control array radar and the azimuth angle of the target relative to the sub-aperture-frequency control array radar are obtained. And then, respectively adopting the Keramen-Row lower bound expression to represent the estimation performance of the sub-aperture-frequency control array radar system on the target distance parameter and the azimuth angle parameter. Secondly, taking a given target distance parameter estimation Kramer-Row lower threshold and a target azimuth angle parameter estimation Kramer-Row lower threshold as constraint conditions, taking the minimum transmitting power of the sub-aperture-frequency control array radar as an optimization target, and establishing a radio frequency stealth transmitting power optimization model aiming at the sub-aperture-frequency control array radar, thereby effectively reducing the transmitting power of the sub-aperture-frequency control array radar and achieving the purpose of improving the radio frequency stealth performance of the system.
The method has the advantages that the requirements of a given target distance parameter estimation Cramer-Row lower threshold and a target azimuth angle parameter estimation Cramer-Row lower threshold are met, and the transmitting power of the sub-aperture-frequency control array radar system is effectively reduced, so that the radio frequency stealth performance of the system is improved. The method takes the given target distance parameter estimated Kramer-Row lower threshold and the target azimuth parameter estimated Kramer-Row lower threshold as constraint conditions, takes the minimum transmitting power of the sub-aperture-frequency control array radar as an optimization target, and establishes a radio frequency stealth transmitting power optimization model for the sub-aperture-frequency control array radar. By solving the optimization model, the transmitting power value with the minimum transmitting power of the sub-aperture-frequency control array radar system is used as the optimal solution under the condition that the given target distance parameter estimation Kelarmex-Row lower threshold and the target azimuth angle parameter estimation Kelarmex-Row lower threshold are met, so that the radio frequency stealth performance of the sub-aperture-frequency control array radar system is effectively improved.
(2) Compared with the prior art, the method for optimizing the radio frequency stealth transmitting power of the sub-aperture-frequency control array radar not only meets the requirements of estimating the Kramer-Row lower threshold value of a given target distance parameter and estimating the Kramer-Row lower threshold value of a target azimuth angle parameter, but also effectively reduces the transmitting power of the sub-aperture-frequency control array radar system, thereby improving the radio frequency stealth performance of the system.
Drawings
Fig. 1 is a flow chart of the method of the present invention.
Detailed Description
The technical scheme of the invention is described in detail below with reference to the accompanying drawings and specific embodiments.
Starting from the practical engineering application requirement, the invention considers a sub-aperture-frequency control array radar system according to the condition that the coupling exists in the distance direction and the azimuth direction when the traditional frequency control array radar carries out parameter estimation on the target, and equally divides the uniform linear radar array into two subarrays, and each subarray adopts different frequency increment; based on the above, according to the prior information of the battlefield, the distance between the target and the sub-aperture-frequency control array radar and the azimuth angle of the target relative to the sub-aperture-frequency control array radar are obtained. And then, respectively adopting the Keramen-Row lower bound expression to represent the estimation performance of the sub-aperture-frequency control array radar system on the target distance parameter and the azimuth angle parameter. Secondly, taking a given target distance parameter estimation Kramer-Row lower threshold and a target azimuth angle parameter estimation Kramer-Row lower threshold as constraint conditions, taking the minimum transmitting power of the sub-aperture-frequency control array radar as an optimization target, and establishing a radio frequency stealth transmitting power optimization model aiming at the sub-aperture-frequency control array radar, thereby effectively reducing the transmitting power of the sub-aperture-frequency control array radar and achieving the purpose of improving the radio frequency stealth performance of the system.
As shown in fig. 1, the method for optimizing the radio frequency stealth transmitting power of the sub-aperture-frequency control array radar comprises the following steps:
1. determining prior information of sub-aperture-frequency control array radar system components and target distance and direction:
aiming at the condition that coupling exists between the distance direction and the azimuth direction when the traditional frequency control array radar carries out parameter estimation on the target, consider a part of common N T A sub-aperture-frequency control array radar system formed by array elements. The system equally divides a uniform linear radar array into two subarrays, and the number of array elements contained in each subarray is N S And the array element distance of each subarray is D. The two subarrays adopt different frequency increments, wherein the first subarray element transmits the frequency increment of delta F 1 The second sub array element has the emission frequency increment of delta F 2 . The wavelength of the sub-aperture-frequency control array radar transmitting signal is lambda.
In addition, according to battlefield prior information, the distance between the target and the sub-aperture-frequency control array radar is R, and the azimuth angle of the target relative to the sub-aperture-frequency control array radar is theta.
2. The estimated performance of the subaperture-frequency control array radar system on the target distance parameter and the azimuth angle parameter is characterized by adopting a Keramen-Row lower bound expression respectively, and the estimated performance is as follows:
the Claimei-Row lower bound expression of the sub-aperture-frequency control array radar system for estimating the target distance parameter is as follows:
wherein c is the speed of light;
SNR represents the output signal-to-noise ratio of a sub-aperture-frequency-controlled array radar receiver, and can be expressed as:
wherein ,Prad The transmitting power of the sub-aperture-frequency control array radar,
for the scattering coefficient of the target relative to the sub-aperture-frequency-controlled array radar +.>
Is the noise power of the sub-aperture-frequency control array radar receiver.
The Claimei-Row lower bound expression of the subaperture-frequency control array radar system for estimating the target azimuth parameter is as follows:
3. establishing a radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar:
estimating a krameria-roc lower threshold value ζ from a given target distance parameter R And a target azimuth parameter estimation caramet-ro lower bound threshold value ζ θ Establishing a radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar:
wherein ,
is the upper limit of the transmitting power of the sub-aperture-frequency control array radar.
4. Solving an optimization model formula (6):
order the
Substituting the formula (7) and the formula (8) into an optimization model formula (6) to obtain the minimum transmitting power value of the sub-aperture-frequency control array radar system under the condition that a given target distance parameter estimation Keramen-Row lower threshold and a target azimuth parameter estimation Keramen-Row lower threshold are met:
wherein superscript denotes the optimal solution, i.e
Representing the transmitting power P of the sub-aperture-frequency control array radar rad Min { x, y } represents the minimum value of x and y, and max { k, j } represents the maximum value of k and j.
Description of the working principle and working process created by the invention:
aiming at the condition that coupling exists between the distance direction and the azimuth direction when the traditional frequency control array radar carries out parameter estimation on a target, a sub-aperture-frequency control array radar system is considered, a uniform linear radar array is equally divided into two subarrays, and each subarray adopts different frequency increment; based on the above, according to the prior information of the battlefield, the distance between the target and the sub-aperture-frequency control array radar and the azimuth angle of the target relative to the sub-aperture-frequency control array radar are obtained. However, the method is thatAnd then, respectively adopting the Keramen-Row lower bound expression to represent the estimation performance of the sub-aperture-frequency control array radar system on the target distance parameter and the azimuth angle parameter. Secondly, taking a target distance parameter estimation Cramer-Row lower threshold and a target azimuth angle parameter estimation Cramer-Row lower threshold as constraint conditions, taking the minimum transmitting power of the sub-aperture-frequency control array radar as an optimization target, and establishing a radio frequency stealth transmitting power optimization model aiming at the sub-aperture-frequency control array radar. And finally, solving the established optimization model. By solving the optimization model, the transmission power value which enables the transmission power of the sub-aperture-frequency control array radar system to be minimum under the condition that the given target distance parameter estimation Cramer-Row lower threshold and the target azimuth parameter estimation Cramer-Row lower threshold are met is obtained
And as an optimal solution, the sub-aperture-frequency control array radar system radio frequency stealth transmitting power meeting the constraint condition can be obtained. />
Claims (4)
1. The radio frequency stealth transmitting power optimizing method for the sub-aperture-frequency control array radar is characterized by comprising the following steps of:
(1) Determining the prior information of the sub-aperture-frequency control array radar system composition and the target distance and the target azimuth;
(2) The estimation performance of the subaperture-frequency control array radar system on the target distance parameter and the azimuth angle parameter is characterized by adopting a Keramen-Row lower bound expression;
(3) Establishing a radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar;
(4) Solving a radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar; the method comprises the following steps:
order the
Wherein c is the speed of light, ΔF 1 Transmitting a frequency increment, deltaF, for the first sub-array element 2 Transmitting the frequency increment for the second sub array element, N T Is the number N of array elements in the sub-aperture-frequency control array radar system S For the number of array elements contained in each subarray, lambda is the wavelength of the transmitting signal of the subaperture-frequency control array radar, D is the array element distance of each subarray, theta is the azimuth angle of the target relative to the subaperture-frequency control array radar,
substituting the formula (7) and the formula (8) into the radio frequency stealth emission power optimization model of the sub-aperture-frequency control array radar in the step (3), so as to obtain the emission power value which enables the emission power of the sub-aperture-frequency control array radar system to be minimum under the condition that a given target distance parameter estimation Kramer-Row lower threshold and a target azimuth parameter estimation Kramer-Row lower threshold are met:
wherein ,
representing the transmitting power P of the sub-aperture-frequency control array radar rad Min { x, y } represents the minimum value of x and y, max { k, j } represents the maximum value of k and j, and->
Noise power for a sub-aperture-frequency controlled array radar receiver; zeta type toy R Estimating a Keramen-Row lower bound threshold for a target distance parameterValue, xi θ Estimating a keramen-ro lower threshold for the target azimuth parameter,/>
For the scattering coefficient of the target relative to the sub-aperture-frequency-controlled array radar +.>
Is the upper limit of the transmitting power of the sub-aperture-frequency control array radar.
2. The method for optimizing radio frequency stealth transmit power for a sub-aperture-frequency controlled array radar as set forth in claim 1, wherein the sub-aperture-frequency controlled array radar system of step (1) comprises N T The system equally divides the uniform linear radar array into two subarrays, and the number of the array elements contained in each subarray is N S The array element distance of each subarray is D; the two subarrays adopt different frequency increments, wherein the first subarray element transmits the frequency increment of delta F 1 The second sub array element has the emission frequency increment of delta F 2 The wavelength of a sub-aperture-frequency control array radar transmitting signal is lambda;
in addition, according to battlefield prior information, the distance between the target and the sub-aperture-frequency control array radar is R, and the azimuth angle of the target relative to the sub-aperture-frequency control array radar is theta.
3. The method for optimizing radio frequency stealth transmit power for a sub-aperture-frequency controlled array radar according to claim 1, wherein the step (2) is specifically:
the Claimei-Row lower bound expression of the sub-aperture-frequency control array radar system for estimating the target distance parameter is as follows:
wherein, c is the speed of light,
wherein ,△F1 Transmitting a frequency increment, deltaF, for the first sub-array element 2 Transmitting the frequency increment for the second sub array element, N T Is the number N of array elements in the sub-aperture-frequency control array radar system S The number of array elements contained in each subarray;
SNR represents the output signal-to-noise ratio of a sub-aperture-frequency-controlled array radar receiver, expressed as:
wherein ,Prad The transmitting power of the sub-aperture-frequency control array radar,
for the scattering coefficient of the target relative to the sub-aperture-frequency-controlled array radar +.>
Noise power for a sub-aperture-frequency controlled array radar receiver;
the Claimei-Row lower bound expression of the subaperture-frequency control array radar system for estimating the target azimuth parameter is as follows:
wherein lambda is the wavelength of the transmitting signal of the sub-aperture-frequency control array radar, D is the array element distance of each sub-array, and theta is the azimuth angle of the target relative to the sub-aperture-frequency control array radar.
4. The method for optimizing radio frequency stealth transmit power for a sub-aperture-frequency controlled array radar as claimed in claim 1, wherein in step (3), the krameria-roc lower bound threshold ζ is estimated according to a given target distance parameter R And a target azimuth parameter estimation caramet-ro lower bound threshold value ζ θ Establishing a radio frequency stealth emission power optimization model aiming at the sub-aperture-frequency control array radar:
wherein ,Prad CRB is the transmitting power of the sub-aperture-frequency control array radar R Kelarmei-ro lower bound, CRB, for target range parameter estimation by sub-aperture-frequency controlled array radar system θ For the lower crimex-ro boundary of the sub-aperture-frequency control array radar system for target azimuth parameter estimation,
is the upper limit of the transmitting power of the sub-aperture-frequency control array radar. />
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| JP7226857B2 (en) | 2023-02-21 |
| JP2022539279A (en) | 2022-09-08 |
| CN111693950A (en) | 2020-09-22 |
| WO2021244030A1 (en) | 2021-12-09 |
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