CN111323769A - Airborne radar radio frequency stealth waveform selection method based on waveform library - Google Patents
Airborne radar radio frequency stealth waveform selection method based on waveform library Download PDFInfo
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- CN111323769A CN111323769A CN202010138619.4A CN202010138619A CN111323769A CN 111323769 A CN111323769 A CN 111323769A CN 202010138619 A CN202010138619 A CN 202010138619A CN 111323769 A CN111323769 A CN 111323769A
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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
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/66—Radar-tracking systems; Analogous systems
- G01S13/72—Radar-tracking systems; Analogous systems for two-dimensional tracking, e.g. combination of angle and range tracking, track-while-scan radar
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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
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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
- G01S7/35—Details of non-pulse systems
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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
- G01S7/36—Means for anti-jamming, e.g. ECCM, i.e. electronic counter-counter measures
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Abstract
The invention discloses a method for selecting radio frequency stealth waveforms of an airborne radar based on a waveform library, which comprises the following steps: establishing an airborne radar transmitting waveform library; calculating a predicted target covariance matrix at the next moment; judging whether the airborne radar is started to irradiate and track the target at the next moment; defining an airborne radar waveform selection target function; establishing an airborne radar waveform selection model based on a waveform library; and solving the airborne radar waveform selection model based on the waveform library. The method not only improves the target tracking precision of the airborne radar, but also effectively controls the startup times of the airborne radar, thereby improving the radio frequency stealth performance of the airborne radar.
Description
Technical Field
The invention relates to a radar signal processing technology, in particular to an airborne radar radio frequency stealth waveform selection method based on a waveform library.
Background
Traditional airborne radar transmits a fixed waveform to track a target, and radar measurement of the target depends on the transmitted waveform. Due to the immeasurability of the radar battle environment, the irradiation tracking of the target by adopting a single emission waveform is often difficult to achieve ideal tracking accuracy.
Radio frequency stealth radar is also called as low interception probability radar, and means that radar designers strive to seek a hidden or silent radar working mode, so that the radar is not intercepted by a passive interception receiver during working, and the aims of preventing the radar from being interfered or destroyed and improving the survival capability of the radar are fulfilled.
However, no airborne radar radio frequency stealth waveform selection method based on a waveform library exists in the prior art.
Disclosure of Invention
The purpose of the invention is as follows: in order to overcome the defects of the prior art, the invention provides a method for selecting the radio frequency stealth waveform of an airborne radar based on a waveform library.
The technical scheme is as follows: in order to realize the purpose, the invention adopts the following technical scheme:
a method for selecting airborne radar radio frequency stealth waveforms based on a waveform library comprises the following steps:
(1) establishing an airborne radar transmitting waveform library theta;
(2) calculating a predicted target covariance matrix at the next moment;
(3) judging whether the airborne radar is started to irradiate and track the target at the next moment;
(4) defining an airborne radar waveform selection target function;
(5) establishing an airborne radar waveform selection model based on a waveform library;
(6) and solving the airborne radar waveform selection model based on the waveform library.
Further, the airborne radar transmitting waveform library Θ in the step (1) comprises a triangular pulse signal, a gaussian modulation pulse signal, a chirp signal and a gaussian modulation chirp signal.
Further, tracking and filtering the single target by adopting an interactive multi-model extended Kalman filtering algorithm in the step (2), and predicting the target state at the k +1 moment at the k momentComprises the following steps:
wherein M is the total number of the target motion models,the target state of model m at time k +1 is predicted for time k,predicting the probability of the model m at the k +1 moment for the k moment; thus, a target covariance matrix for the predicted k +1 time at time k is obtainedComprises the following steps:
wherein the content of the first and second substances,a target covariance matrix of the model m at the moment k +1 is predicted for the moment k, and the superscript T represents the transposition operation of the matrix.
Further, in the step (3), if the k time predicts the target covariance matrix at the k +1 timeIs less than the preset target tracking error threshold ξ, i.e.:
the airborne radar is shut down at the moment k +1, and the passive sensor is adopted to cooperatively irradiate and track the target; acquiring a target measurement value at the k +1 moment, and returning to the step (2);
otherwise, the airborne radar is started to irradiate and track the target at the moment k +1, and the step (4) is executed.
Further, the on-board radar waveform selection target function defined in step (4) is as follows:
wherein WSOF represents the waveform selection target function, Tr [ ·, of the airborne radar]Denotes the trace operation of the matrix, Ωk+1Is the emission waveform of the airborne radar at the moment k +1,the target covariance matrix at time k +1, i.e.:
wherein the content of the first and second substances,the probability of model m at time k +1,is the target covariance matrix for model m at time k +1,the target state of model m at time k +1,the target state at time k +1, namely:
further, when the airborne radar is started to irradiate and track the target at the time k +1 in the step (5), an airborne radar waveform selection model based on a waveform library is established, and the following steps are performed:
wherein, Tr [ ·]Denotes the trace operation of the matrix, Ωk+1Is the emission waveform of the airborne radar at the moment k +1,and (2) representing a pre-established airborne radar transmitting waveform library by a target covariance matrix at the moment k + 1.
Further, in the step (6), an objective function is selected from a pre-established airborne radar transmission waveform library thetaThe minimum waveform is used as the emission waveform of the airborne radar at the moment k +1, so that the whole airborne radar emission waveform self-adaptive selection process is completed; and (5) simultaneously, acquiring a target measurement value at the moment k +1, and returning to the step (2).
Has the advantages that: compared with the prior art, the invention has the following advantages:
(1) the main task of the method is to establish an airborne radar transmitting waveform library. Then, considering a battle scene that the airborne radar tracks a single target by adopting an interactive multi-model extended Kalman filtering algorithm, and judging whether the airborne radar is started to irradiate and track the target at the next moment according to the trace of the predicted target covariance matrix at the next moment and a preset target tracking error threshold value. If the target tracking error threshold value is met, the airborne radar is not started at the next moment, and the passive sensor tracks the target; if the preset target tracking error threshold value is not met, the next-time airborne radar is started to irradiate and track the target, an airborne radar waveform selection model based on a waveform library is established, the trace of the minimum target tracking error covariance matrix is taken as an optimization target, the given airborne radar emission waveform library is taken as a constraint condition, the next-time airborne radar emission waveform is subjected to self-adaptive optimization selection, and therefore the target tracking precision is improved, the starting times of the airborne radar are effectively reduced, and the purpose of improving the radio frequency stealth performance of the airborne radar is achieved.
The method has the advantages that the target tracking precision of the airborne radar is improved, the startup times of the airborne radar are effectively controlled, and the radio frequency stealth performance of the airborne radar is improved. The method adopts the airborne radar radio frequency stealth waveform selection method based on the waveform library, and judges whether the airborne radar is started to irradiate and track the target at the next moment according to the trace of the target covariance matrix predicted at the next moment and the preset target tracking error threshold. If the target tracking error threshold value is met, the airborne radar is not started at the next moment, and the passive sensor tracks the target; if the target tracking error threshold value is not met, the airborne radar is started to irradiate and track the target at the next moment, an airborne radar waveform selection model based on a waveform library is established, the trace of the minimum target tracking error covariance matrix is used as an optimization target, the given airborne radar emission waveform library is used as a constraint condition, and adaptive optimization selection is carried out on the airborne radar emission waveform at the next moment.
(2) Compared with the prior art, the airborne radar radio-frequency stealth waveform selection method based on the waveform library not only improves the target tracking precision of the airborne radar, but also effectively controls the startup times of the airborne radar, thereby improving the radio-frequency stealth performance of the airborne radar.
Drawings
Fig. 1 is a flow chart of an airborne radar radio frequency stealth waveform selection algorithm based on a waveform library.
Detailed Description
The structure and operation of the present invention will be further described with reference to the accompanying drawings.
The invention provides a method for selecting airborne radar radio frequency stealth waveforms based on a waveform library from actual engineering application. Then, considering a battle scene that the airborne radar tracks a single target by adopting an interactive multi-model extended Kalman filtering algorithm, and judging whether the airborne radar is started to irradiate and track the target at the next moment according to the track of the predicted target covariance matrix at the next moment obtained by calculation and a preset target tracking error threshold. If the target tracking error threshold value is met, the airborne radar is not started at the next moment, and the passive sensor tracks the target; if the preset target tracking error threshold value is not met, the next-time airborne radar is started to irradiate and track the target, at the moment, the waveform of the airborne radar is defined to select a target function, an airborne radar waveform selection model based on a waveform library is established, the trace of a minimum target tracking error covariance matrix is taken as an optimization target, the given airborne radar emission waveform library is taken as a constraint condition, the next-time airborne radar emission waveform is subjected to self-adaptive optimization selection, the target tracking precision is improved, meanwhile, the starting times of the airborne radar are effectively reduced, and the purpose of improving the radio frequency stealth performance of the airborne radar is achieved. Specifically, the method comprises the following steps:
as shown in fig. 1, a method for selecting an airborne radar radio-frequency stealth waveform based on a waveform library includes the following steps:
1. establishing an airborne radar transmitting waveform library;
the waveform library Θ includes radar waveforms such as a triangular pulse signal, a gaussian modulated pulse signal, a chirp signal, and a gaussian modulated chirp signal. And the transmitting waveforms of the airborne radar at the next moment are all selected from the waveform library.
2. Calculating a predicted target covariance matrix at the next moment;
the invention adopts an interactive multi-model extended Kalman filtering algorithm to track and filter a single target, so that the target state at the k +1 moment is predicted at the k momentComprises the following steps:
wherein M is the total number of the target motion models,the target state of model m at time k +1 is predicted for time k,the probability of model m at time k +1 is predicted for time k. Thus, a target covariance matrix for the predicted k +1 time at time k can be obtainedComprises the following steps:
wherein the content of the first and second substances,a target covariance matrix of the model m at the moment k +1 is predicted for the moment k, and the superscript T represents the transposition operation of the matrix.
3. Judging whether the airborne radar is started to irradiate and track the target at the next moment;
if the target covariance matrix at the k +1 moment is predicted at the k momentIs less than the preset target tracking error threshold ξ, i.e.:
the airborne radar is shut down at the moment k +1, the passive sensor is adopted to cooperatively perform irradiation tracking on the target, a target measurement value at the moment k +1 is obtained, and then the step 2 is returned;
otherwise, the airborne radar is started to irradiate and track the target at the moment k +1, and the step 4 is executed.
4. Defining an airborne radar waveform selection target function;
defining an airborne radar waveform selection objective function as:
wherein, WSOF represents machineSelection of target function, Tr [. to carry radar waveform]Denotes the trace operation of the matrix, Ωk+1Is the emission waveform of the airborne radar at the moment k +1,the target covariance matrix at time k +1, i.e.:
wherein the content of the first and second substances,the probability of model m at time k +1,is the target covariance matrix for model m at time k +1,the target state of model m at time k +1,the target state at time k +1, namely:
5. establishing an airborne radar waveform selection model based on a waveform library;
when the airborne radar is started to irradiate and track a target at the moment of k +1, establishing an airborne radar waveform selection model based on a waveform library, wherein the model is as follows:
wherein, Θ represents a pre-established airborne radar transmitting waveform library.
6. Solving an airborne radar waveform selection model based on a waveform library:
from pre-establishmentSelecting a target function from a transmitting waveform library theta of the airborne radarAnd the minimum waveform is used as the emission waveform of the airborne radar at the moment k +1, so that the whole airborne radar emission waveform self-adaptive selection process is completed.
And meanwhile, acquiring a target measurement value at the moment k +1, and returning to the step 2.
The working principle and the working process of the invention are as follows:
the method firstly establishes an airborne radar transmitting waveform library theta. Then, considering an operation scene that the airborne radar tracks a single target by adopting an interactive multi-model extended Kalman filtering algorithm, and predicting a target covariance matrix at the k +1 moment according to the k momentJudging whether the airborne radar is started to perform irradiation tracking on the target at the moment k +1 with a preset target tracking error threshold; traces using a k +1 time target covariance matrixSelecting a target function as an airborne radar waveform; predicting the trace of the target covariance matrix according to the calculated next momentJudging whether the airborne radar is started to irradiate and track the target at the next moment or not according to a preset target tracking error threshold value ξ, if the preset target tracking error threshold value is met, the airborne radar is not started at the next moment, the passive sensor tracks the target, and if the preset target tracking error threshold value is not met, the airborne radar is started to irradiate and track the target at the next momentAnd establishing an airborne radar waveform selection model based on a waveform library to minimize target tracking errorsThe trace of the difference covariance matrix is taken as an optimization target, a given airborne radar transmitting waveform library is taken as a constraint condition, and a target function is selected from a pre-established airborne radar transmitting waveform libraryAnd the minimum waveform is used as the emission waveform of the airborne radar at the next moment, so that the whole airborne radar emission waveform self-adaptive selection process is completed.
Claims (7)
1. A method for selecting airborne radar radio frequency stealth waveforms based on a waveform library is characterized by comprising the following steps:
(1) establishing an airborne radar transmitting waveform library theta;
(2) calculating a predicted target covariance matrix at the next moment;
(3) judging whether the airborne radar is started to irradiate and track the target at the next moment;
(4) defining an airborne radar waveform selection target function;
(5) establishing an airborne radar waveform selection model based on a waveform library;
(6) and solving the airborne radar waveform selection model based on the waveform library.
2. The method for selecting the radio-frequency stealth waveform of the airborne radar based on the waveform library according to claim 1, wherein the transmitted waveform library Θ of the airborne radar in the step (1) includes a triangular pulse signal, a gaussian modulated pulse signal, a chirp signal and a gaussian modulated chirp signal.
3. The method for selecting the airborne radar radio-frequency stealth waveform based on the waveform library according to claim 1, wherein in the step (2), tracking filtering is performed on a single target by adopting an interactive multi-model extended Kalman filtering algorithm, so that the target state at the k +1 moment is predicted at the k momentComprises the following steps:
wherein M is the total number of the target motion models,the target state of model m at time k +1 is predicted for time k,predicting the probability of the model m at the k +1 moment for the k moment; thus, a target covariance matrix for the predicted k +1 time at time k is obtainedComprises the following steps:
4. The method for selecting airborne radar radio frequency stealth waveforms based on the waveform library according to claim 1, wherein in the step (3), if the k time is predicted to be the k +1 time, the target covariance matrix is predictedIs less than the preset target tracking error threshold ξ, i.e.:
the airborne radar is shut down at the moment k +1, and the passive sensor is adopted to cooperatively irradiate and track the target; acquiring a target measurement value at the k +1 moment, and returning to the step (2);
otherwise, the airborne radar is started to irradiate and track the target at the moment k +1, and the step (4) is executed.
5. The method for selecting the airborne radar radio-frequency stealth waveform based on the waveform library according to claim 1, wherein the airborne radar waveform selection target function defined in the step (4) is as follows:
wherein WSOF represents the waveform selection target function, Tr [ ·, of the airborne radar]Denotes the trace operation of the matrix, Ωk+1Is the emission waveform of the airborne radar at the moment k +1,the target covariance matrix at time k +1, i.e.:
wherein the content of the first and second substances,the probability of model m at time k +1,is the target covariance matrix for model m at time k +1,the target state of model m at time k +1,the target state at time k +1, namely:
6. the method for selecting the airborne radar radio-frequency stealth waveform based on the waveform library according to claim 1, wherein in the step (5), when the airborne radar is powered on to perform irradiation tracking on the target at the time k +1, an airborne radar waveform selection model based on the waveform library is established as follows:
wherein WSOF represents the waveform selection target function, Tr [ ·, of the airborne radar]Denotes the trace operation of the matrix, Ωk+1Is the emission waveform of the airborne radar at the moment k +1,and (2) representing a pre-established airborne radar transmitting waveform library by a target covariance matrix at the moment k + 1.
7. The method for selecting radio-frequency stealth waveforms of airborne radar based on waveform library according to claim 1, wherein in step (6), the objective function is selected from a pre-established airborne radar transmission waveform library ΘThe minimum waveform is used as the emission waveform of the airborne radar at the moment k +1, so that the whole airborne radar emission waveform self-adaptive selection process is completed; and (5) simultaneously, acquiring a target measurement value at the moment k +1, and returning to the step (2).
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