CN111337885B - Radar and communication combined system radio frequency stealth performance optimization method - Google Patents

Radar and communication combined system radio frequency stealth performance optimization method Download PDF

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CN111337885B
CN111337885B CN202010099563.6A CN202010099563A CN111337885B CN 111337885 B CN111337885 B CN 111337885B CN 202010099563 A CN202010099563 A CN 202010099563A CN 111337885 B CN111337885 B CN 111337885B
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时晨光
王奕杰
丁琳涛
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Nanjing University of Aeronautics and Astronautics
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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
    • G01S7/28—Details of pulse systems
    • G01S7/282—Transmitters
    • 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
    • G01S7/35—Details of non-pulse systems
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04—TPC
    • H04W52/30—TPC using constraints in the total amount of available transmission power
    • H04W52/34—TPC management, i.e. sharing limited amount of power among users or channels or data types, e.g. cell loading

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Abstract

The invention discloses a method for optimizing radio frequency stealth performance of a radar and communication combined system, which comprises the following steps: acquiring frequency response prior information of a target detection channel and frequency response of a communication channel; respectively constructing a mutual information expression representing the estimation performance of the target parameter and a data transmission rate expression representing the communication performance; constructing a radio frequency stealth optimization model of a radar and communication combined system; and solving a radio frequency stealth optimization model of the radar and communication combined system to obtain an optimal radar transmitting waveform and optimal communication transmitting power distribution. The method provided by the invention can minimize the total transmitting power of a radar and communication combined system by optimizing the design of radar transmitting waveform and communication transmitting power distribution under the condition of considering the estimation of a predetermined mutual information threshold value parameter and certain communication data rate delivery information, thereby improving the radio frequency stealth performance of the system.

Description

Radar and communication combined system radio frequency stealth performance optimization method
Technical Field
The invention relates to a radar waveform design technology, in particular to a method for optimizing radio frequency stealth performance of a radar and communication combined system.
Background
With the rapid development of computer technology, radar communication technology and integrated circuit technology, the combined radar and communication system has received great attention. The radar and communication combined system can simultaneously estimate the environmental parameters from the radar return signals and decode the received communication signals, and the performance of the radar and communication combined system can obviously reduce the probability that the radar is detected, found and identified by passive electronic reconnaissance equipment and attacked by anti-radiation missiles in the design stage, thereby improving the battlefield viability and the operational efficiency of the radar and a carrying platform thereof.
Currently, two main aspects are considered in the research on the performance optimization method of the radar and communication combined system: the target parameter estimation performance of the radar and the communication performance of the base station are the first. And evaluating the performance of the radar and the communication by respectively using the positioning information rate and the communication data rate, and maximizing the performance of the radar and communication combined system by optimizing the radar waveform design under the given constraint condition.
Although the methods for optimizing the performance of the radar and communication combined system are provided, the target detection performance and the parameter estimation performance of the system in the clutter environment are improved, but the methods do not consider the optimization design based on the radio frequency stealth performance in the radar and communication combined system.
Disclosure of Invention
The purpose of the invention is as follows: in order to overcome the defects in the prior art, the invention provides a method for optimizing the radio frequency stealth performance of a radar and communication combined system, which reduces the total transmitting power of the radar and communication combined system and improves the radio frequency stealth performance of the system.
The technical scheme is as follows: in order to realize the purpose, the invention adopts the following technical scheme:
a radio frequency stealth performance optimization method for a radar and communication combined system comprises the following steps:
(1) acquiring a target detection channel frequency response and a communication channel frequency response;
(2) respectively constructing a mutual information expression representing the estimation performance of the target parameter and a data transmission rate expression representing the communication performance;
(3) constructing a radio frequency stealth optimization model of a radar and communication combined system;
(4) and solving a radio frequency stealth optimization model of the radar and communication combined system to obtain an optimal radar transmitting waveform and optimal communication transmitting power distribution.
Further, in the step (1), a target detection channel frequency response and a communication channel frequency response on each sub-band are obtained according to the priori knowledge.
Further, mutual information I for representing target parameter estimation performance in step (2)radThe expression is as follows:
Figure GDA0003472491420000021
wherein, Krad＝BradV. Δ f is the number of radar frequency sub-bands, BradFor radar bandwidth,. DELTA.f for subband spacing, TyFor the duration of the signal, Hrad(fk) For sub-band fkFrequency response of upper target sounding channel, | R (f)k)|2For sub-band fkEnergy spectral density of the radar transmission signal;
characterizing communication performanceData transmission rate RcomThe expression is as follows:
Figure GDA0003472491420000022
wherein, Kcom＝Bcom/. DELTA.f number of communication band sub-bands, BcomFor the communication frequency bandwidth, Hcom(fk) Is a sub-band fkFrequency response of communication channel, Pcom(fk) Is a sub-band fkThe energy spectral density of the transmitted signal of the communication,
Figure GDA0003472491420000025
is a sub-band fkNoise power of receiver, k0Is the Boltzmann constant, T0Is the receiver noise temperature.
Further, in the step (3), considering the target parameter estimation mutual information of the radar system and the constraint condition of the data transmission rate of the communication system, establishing a radio frequency stealth optimization model of the radar and communication combined system as follows:
Figure GDA0003472491420000023
and
Figure GDA0003472491420000024
wherein, K israd＝BradV. Δ f is the number of radar frequency sub-bands, BradFor radar bandwidth, | f is the sub-band spacing, | R (f)k)|2For sub-band fkThe power spectral density of the signal transmitted by the radar; iradMutual information characterizing the performance of the target parameter estimation,
Figure GDA0003472491420000031
indicating a predetermined target parameter estimation performance threshold, Kcom＝Bcom/. DELTA.f number of communication band sub-bands, BcomFor the communication frequency bandwidth, Pcom(fk) Is a sub-band fkEnergy spectral density of the transmitted signal of (1)comTo characterize the data transfer rate of the communication performance,
Figure GDA0003472491420000032
indicating a pre-set communication data rate threshold,
Figure GDA0003472491420000033
representing a maximum communication transmit power threshold on each sub-band.
Further, the method for solving the radio frequency stealth optimization model of the radar and communication combined system in the step (4) comprises the following steps:
(41) solving an optimization problem formula (3) of a radio frequency stealth optimization model of the radar and communication combined system to obtain an optimal radar emission waveform;
introducing lagrange multiplier muiAnd more than or equal to 0 and xi is more than or equal to 0, constructing the following Lagrange multiplier:
Figure GDA0003472491420000034
wherein, TyFor the duration of the signal, Hrad(fk) For sub-band fkTarget sounding channel frequency response;
respectively to | R (f)k)|2，μiAnd xi, calculating a partial derivative, and simultaneously enabling:
Figure GDA0003472491420000035
while satisfying | R (f)k)|2Not less than 0 and Carrocon-Cohn-Tak necessary condition, and obtaining sub-band fkEnergy spectral density of radar emission signal | R (f)k)|2The expression is as follows:
Figure GDA0003472491420000036
wherein,
Figure GDA0003472491420000037
parameter A (-xi) Ty·△f；
(42) Solving an optimization problem formula (4) of a radio frequency stealth optimization model of the radar and communication combined system to obtain optimal communication transmitting power distribution;
introducing a Lagrange multiplier phi1,k≥0，φ2,kNot less than 0 and phi3And (3) more than or equal to 0, constructing the following Lagrangian multiplier:
Figure GDA0003472491420000041
wherein, PmaxIn order to be the maximum transmission power value,
Figure GDA0003472491420000042
is a sub-band fkNoise power of receiver, k0Is the Boltzmann constant, T0Is the receiver noise temperature, Hcom(fk) Is a sub-band fkFrequency response of the communication channel;
are respectively aligned with phi1,k，φ2,kAnd phi3Calculating a partial derivative, and simultaneously ordering:
Figure GDA0003472491420000043
simultaneously satisfies 0 ≤ Pcom(fk)≤PmaxAnd the necessary condition of Carlo needs-Cohen-Tak, and obtaining the optimal communication transmission power expression as follows:
Figure GDA0003472491420000044
wherein,
Figure GDA0003472491420000045
parameter C ═ phi3·△f。
Has the advantages that: compared with the prior art, the invention has the following beneficial effects:
(1) according to the invention, under the condition of meeting a certain target parameter estimation mutual information threshold and a communication data transmission rate threshold, the total transmitting power of the radar and communication combined system is effectively reduced by optimizing the design of the radar transmitting waveform and the communication transmitting power distribution, so that the radio frequency stealth performance of the radar and communication combined system is improved.
The method has the advantages that the requirements of the given target parameter estimation performance and the data transmission rate are met, and the total transmission power of the radar and communication combined system is effectively reduced. The method adopts the method for optimizing the radio frequency stealth performance of the radar and communication combined system, takes the condition of meeting the preset target parameter estimation mutual information threshold and the communication data transmission rate threshold as constraint conditions, takes the total transmitting power of the minimized radar and communication combined system as an optimization target, establishes a radar and communication combined system radio frequency stealth performance optimization design model, and optimizes radar waveform design and communication power distribution. By solving the radar transmitting waveform and communication power distribution result obtained by the optimization model, the total transmitting power of the radar and communication combined system can be effectively reduced and the radio frequency stealth performance of the radar and communication combined system can be improved under the condition that a certain target parameter estimation mutual information threshold and a communication data transmission rate threshold are met.
(2) Compared with the prior art, the method for optimizing the radio frequency stealth performance of the radar and communication combined system not only meets the preset target parameter estimation performance and communication transmission rate requirements, but also improves the radio frequency stealth performance of the system.
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FIG. 1 is a flow chart of the method of the present invention.
Detailed Description
The technical solution of the present invention is described in detail below with reference to the accompanying drawings and specific embodiments.
According to the method for optimizing the radio frequency stealth performance of the radar and communication combined system, under the condition that the preset mutual information threshold parameter estimation and certain communication data rate delivery information are considered, the total transmitting power of the radar and communication combined system is minimized by optimizing the radar transmitting waveform design and the communication transmitting power distribution, and therefore the radio frequency stealth performance of the system is improved. Specifically, the method comprises the following steps:
as shown in fig. 1, a method for optimizing radio frequency stealth performance of a radar and communication combined system includes the following steps:
1. and acquiring the frequency response of the target detection channel and the frequency response of the communication channel.
And acquiring the frequency response of the target detection channel and the frequency response of the communication channel on each sub-band according to the prior knowledge.
2. And respectively constructing a mutual information expression representing the estimation performance of the target parameters and a data transmission rate expression representing the communication performance.
Mutual information (i.e. mutual information) I representing target parameter estimation performance of radar and communication combined systemradThe expression is as follows:
Figure GDA0003472491420000051
wherein, TyFor the duration of the signal, Krad＝BradV. Δ f is the number of radar frequency sub-bands, BradFor radar bandwidth,. DELTA.f for subband spacing, Hrad(fk) For sub-band fkFrequency response of upper target sounding channel, | R (f)k)|2For sub-band fkThe radar of (4) transmits a signal energy spectral density.
Data transmission rate (i.e. data transmission rate for characterizing communication performance) R for characterizing communication performance of radar and communication combined systemcomThe expression is as follows:
Figure GDA0003472491420000061
wherein, Kcom＝Bcom/. DELTA.f number of communication band sub-bands, BcomFor the communication frequency bandwidth, Hcom(fk) Is a sub-band fkFrequency response of communication channel, Pcom(fk) Is a sub-band fkThe energy spectral density of the transmitted signal of the communication,
Figure GDA0003472491420000062
is a sub-band fkNoise power of receiver, k0Is the Boltzmann constant, T0Is the receiver noise temperature.
3. And constructing a radio frequency stealth optimization model of the radar and communication combined system.
Considering the target parameter estimation mutual information of the radar system and the constraint condition of the data transmission rate of the communication system, and establishing a radio frequency stealth optimization model of the radar and communication combined system as follows:
Figure GDA0003472491420000063
and
Figure GDA0003472491420000064
wherein,
Figure GDA0003472491420000065
indicating a pre-set target parameter estimation performance threshold,
Figure GDA0003472491420000066
indicating a pre-set communication data rate threshold,
Figure GDA0003472491420000067
representing a maximum communication transmit power threshold on each sub-band.
4. Solving the radio frequency stealth optimization model of the radar and communication combined system in the step 3 to obtain an optimal radar transmitting waveform and optimal communication transmitting power distribution; the method specifically comprises the following steps:
4.1, solving an optimization problem formula (3) of a radio frequency stealth optimization model of the radar and communication combined system to obtain an optimal radar emission waveform;
introducing lagrange multiplier muiAnd more than or equal to 0 and xi is more than or equal to 0, constructing the following Lagrange multiplier:
Figure GDA0003472491420000068
respectively to | R (f)k)|2，μiAnd xi, calculating a partial derivative, and simultaneously enabling:
Figure GDA0003472491420000071
while satisfying | R (f)k)|2Obtaining a sub-band f under the necessary conditions of not less than 0 and Carrocon-Kuhn-Tucker (KKT)kEnergy spectral density of radar emission signal | R (f)k)|2The expression is as follows:
Figure GDA0003472491420000072
wherein,
Figure GDA0003472491420000073
parameter A (-xi) Ty·△f。
4.2, solving an optimization problem formula (4) of a radio frequency stealth optimization model of the radar and communication combined system to obtain optimal communication transmitting power distribution;
introducing a Lagrange multiplier phi1,k≥0，φ2,kNot less than 0 and phi3And (3) more than or equal to 0, constructing the following Lagrangian multiplier:
Figure GDA0003472491420000074
wherein, PmaxIs the maximum transmit power value. Are respectively aligned with phi1,k，φ2,kAnd phi3Calculating a partial derivative, and simultaneously ordering:
Figure GDA0003472491420000075
simultaneously satisfies 0 ≤ Pcom(fk)≤PmaxAnd KKT necessary conditions, and obtaining an optimal communication transmitting power expression as follows:
Figure GDA0003472491420000076
wherein,
Figure GDA0003472491420000077
parameter C ═ phi3·△f。
The working principle and the working process of the invention are as follows:
firstly, aiming at a radar and communication combined system, acquiring target detection channel frequency response and communication channel frequency response on each sub-frequency band according to prior knowledge; then, respectively constructing a mutual information expression representing the estimation performance of the target parameters and a data transmission rate expression representing the communication performance; on the basis, a preset target parameter estimation mutual information threshold and a communication data transmission rate are met as constraint conditions, the total emission power of the radar and communication combined system is minimized as an optimization target, a radar and communication combined system radio frequency stealth performance optimization design model is established, and radar emission waveform design and communication emission power distribution are optimized. By adopting a Lagrange multiplier method and KKT necessary conditions, the optimal radar transmitting waveform and optimal communication transmitting power distribution are obtained by solving the optimization model, the total transmitting power of the radar and communication combined system can be effectively reduced under the condition that a certain target parameter estimation performance mutual information threshold value and a certain data transmission rate threshold value are met, and the radio frequency stealth performance of the radar and communication combined system is improved.

Claims (4)

1. A radio frequency stealth performance optimization method for a radar and communication combined system is characterized by comprising the following steps:
(1) acquiring a target detection channel frequency response and a communication channel frequency response;
(2) respectively constructing a mutual information expression representing the estimation performance of the target parameter and a data transmission rate expression representing the communication performance;
(3) constructing a radio frequency stealth optimization model of a radar and communication combined system; specifically, the method comprises the following steps:
considering the target parameter estimation mutual information of the radar system and the constraint condition of the data transmission rate of the communication system, and establishing a radio frequency stealth optimization model of the radar and communication combined system as follows:
Figure FDA0003472491410000011
and
Figure FDA0003472491410000012
wherein, Krad＝BradV. Δ f is the number of radar frequency sub-bands, BradFor radar bandwidth, | f is subband spacing, | R (f)k)|2For sub-band fkThe power spectral density of the signal transmitted by the radar; iradMutual information characterizing the performance of the target parameter estimation,
Figure FDA0003472491410000013
indicating a predetermined target parameter estimation performance threshold, Kcom＝Bcom/. DELTA.f number of communication band sub-bands, BcomFor the communication frequency bandwidth, Pcom(fk) Is a sub-band fkEnergy spectral density of the transmitted signal of (1)comData to characterize communication performanceThe rate of the output is set by the user,
Figure FDA0003472491410000014
indicating a pre-set communication data rate threshold,
Figure FDA0003472491410000015
representing a maximum communication transmit power threshold on each sub-band;
(4) and solving a radio frequency stealth optimization model of the radar and communication combined system to obtain an optimal radar transmitting waveform and optimal communication transmitting power distribution.
2. The method for optimizing the radio frequency stealth performance of the radar and communication combined system according to claim 1, wherein in the step (1), the frequency response of the target detection channel and the frequency response of the communication channel on each sub-band are obtained according to a priori knowledge.
3. The method as claimed in claim 1, wherein the mutual information l characterizing the estimation performance of the target parameter in step (2) is used to optimize the radio frequency stealth performance of the radar and communication combined systemradThe expression is as follows:
Figure FDA0003472491410000021
wherein, Krad＝BradV. Δ f is the number of radar frequency sub-bands, BradFor radar bandwidth,. DELTA.f for subband spacing, TyFor the duration of the signal, Hrad(fk) For sub-band fkFrequency response of upper target sounding channel, | R (f)k)|2For sub-band fkEnergy spectral density of the radar transmission signal;
data transmission rate R characterizing communication performancecomThe expression is as follows:
Figure FDA0003472491410000022
wherein, Kcom＝Bcom/. DELTA.f number of communication band sub-bands, BcomFor the communication frequency bandwidth, Hcom(fk) Is a sub-band fkFrequency response of communication channel, Pcom(fk) Is a sub-band fkThe energy spectral density of the transmitted signal of the communication,
Figure FDA0003472491410000023
is a sub-band fkNoise power of receiver, k0Is the Boltzmann constant, T0Is the receiver noise temperature.
4. The method for optimizing the radio frequency stealth performance of the radar and communication combined system according to claim 1, wherein the method for solving the radio frequency stealth optimization model of the radar and communication combined system in the step (4) comprises the following steps:
(41) solving an optimization problem formula (3) of a radio frequency stealth optimization model of the radar and communication combined system to obtain an optimal radar transmitting waveform;
introducing lagrange multiplier muiAnd more than or equal to 0 and xi is more than or equal to 0, constructing the following Lagrange multiplier:
Figure FDA0003472491410000024
wherein, TyFor the duration of the signal, Hrad(fk) For sub-band fkTarget sounding channel frequency response;
respectively to | R (f)k)|2，μiAnd xi, calculating a partial derivative, and simultaneously enabling:
Figure FDA0003472491410000031
while satisfying | R (f)k)|2Not less than 0 and Carrocan-libraryEn-tak requirement, obtaining sub-band fkEnergy spectral density of radar emission signal | R (f)k)|2The expression is as follows:
Figure FDA0003472491410000032
wherein,
Figure FDA0003472491410000033
parameter A (-xi) Ty·△f；
(42) Solving an optimization problem formula (4) of a radio frequency stealth optimization model of the radar and communication combined system to obtain optimal communication transmitting power distribution;
introducing a Lagrange multiplier phi1,k≥0，φ2,kNot less than 0 and phi3And (3) more than or equal to 0, constructing the following Lagrangian multiplier:
Figure FDA0003472491410000034
wherein, PmaxIn order to be the maximum transmission power value,
Figure FDA0003472491410000035
is a sub-band fkNoise power of receiver, k0Is the Boltzmann constant, T0Is the receiver noise temperature, Hcom(fk) Is a sub-band fkFrequency response of the communication channel;
are respectively aligned with phi1,k，φ2,kAnd phi3Calculating a partial derivative, and simultaneously ordering:
Figure FDA0003472491410000036
simultaneously satisfies 0 ≤ Pcom(fk)≤PmaxObtaining optimal communication according to Carlo-Cohen-Tak necessary conditionThe radio power expression is:
Figure FDA0003472491410000037
wherein,
Figure FDA0003472491410000041
parameter C ═ phi3·△f。
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