CN110007278A - A kind of more stealthy optimization methods of base radar radio frequency based on this tower Frederick Colberg game - Google Patents
A kind of more stealthy optimization methods of base radar radio frequency based on this tower Frederick Colberg game Download PDFInfo
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- CN110007278A CN110007278A CN201910196135.2A CN201910196135A CN110007278A CN 110007278 A CN110007278 A CN 110007278A CN 201910196135 A CN201910196135 A CN 201910196135A CN 110007278 A CN110007278 A CN 110007278A
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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
- G01S13/003—Bistatic radar systems; Multistatic radar 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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- Radar, Positioning & Navigation (AREA)
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Abstract
The invention discloses a kind of more stealthy optimization methods of base radar radio frequency based on this tower Frederick Colberg game, comprising the following steps: S1: the propagated loss in multistatic radar system between each radar and target and the propagated loss between each radar and enemy's Acquisition Receiver are obtained；S2: according to preset target detection tracing Signal to Interference plus Noise Ratio thresholding and each radar transmission power upper limit, more base radar power distribution models based on non-cooperative game are established；S3: the game income that enemy's Acquisition Receiver is obtained from more Ji Leidachu is calculated；S4: the transmission power iteration expression formula of each radar in multistatic radar system is obtained；S5: Acquisition Receiver increases unit recipient power price, and constantly iteration updates, until the utility function of Acquisition Receiver reaches convergence.The present invention not only meets given target detection tracing performance, but also effectively controls the transmission power of each radar in multistatic radar system, improves the radio frequency Stealth Fighter of more base radars.
Description
Technical field
The present invention relates to Radar Signal Processings, penetrate more particularly to a kind of more base radars based on this tower Frederick Colberg game
Frequently stealthy optimization method.
Background technique
In tech war, radar, which has become, obtains battle field information indispensable equipment and means.In radar
It is opposition " contradiction " both sides in electronic warfare, between radar and Acquisition Receiver.With enemy's Acquisition Receiver, antiradiation missile
The fast development of technology, a side of the radar as " contradiction ", in increasingly complicated EW electromagnetlc environment, the life that itself is subject to
It is further serious to deposit threat.Radio frequency stealth technology is to mention by using the methods of radiation energy management, frequency agility, complex modulation
Rise the effective way of radar battlefield survival.
Existing method proposes more base radar emission control thoughts based on theory of games at present, reduces to a certain extent
The radio-frequency radiation of multistatic radar system, but this method does not take into account enemy's Acquisition Receiver in betting model, and do not examine
Consider the game income of Acquisition Receiver side, therefore existing method relatively has the reduction degree of the radio-frequency radiation of multistatic radar system
Limit.
Summary of the invention
Goal of the invention: the object of the present invention is to provide a kind of more base radar radio frequencies based on this tower Frederick Colberg game are stealthy
Optimization method has taken into account enemy's Acquisition Receiver in betting model, and considers the game income of Acquisition Receiver side,
The radio-frequency radiation of multistatic radar system is more reduced compared with prior art.
Technical solution: more stealthy optimization methods of base radar radio frequency of the present invention based on this tower Frederick Colberg game,
The following steps are included:
S1: propagated loss and each radar and enemy in multistatic radar system between each radar and target are obtained and is cut
Obtain the propagated loss between receiver；
S2: according to preset target detection tracing Signal to Interference plus Noise Ratio thresholding and each radar transmission power upper limit, base is established
In more base radar power distribution models of non-cooperative game；
S3: the game income that enemy's Acquisition Receiver is obtained from more Ji Leidachu is calculated；
S4: the transmission power iteration expression formula of each radar in multistatic radar system is obtained；
S5: Acquisition Receiver increases unit recipient power price, and constantly iteration updates, until the effectiveness of Acquisition Receiver
Function reaches convergence.
Further, the propagated loss in the step S1 between each radar and target and each radar and enemy intercept and capture
Propagated loss between receiver is obtained by formula (1)；
In formula (1),It is lost again to the propagated of i-th of radar for i-th of radar to target,For i-th of radar
It is lost again to the propagated of j-th of radar to target,For the propagated of the direct wave of i-th of radar to j-th of radar
Loss,For the propagated loss of the direct wave of i-th of radar to Acquisition Receiver, GtFor the transmitting antenna of i-th of radar
Gain, GrFor the receiving antenna gain of i-th of radar, G 'tFor the sidelobe emission antenna gain of i-th of radar, G 'rFor i-th of thunder
The secondary lobe receiving antenna gain reached, GIFor the receiving antenna gain of Acquisition Receiver,Thunder for target with respect to i-th of radar
Up to scattering section,Radar cross section for target with respect to i-th of radar and j-th of radar, λ are radar emission signal wave
It is long, RiFor the distance between i-th of radar and target, RjFor the distance between j-th of radar and target, di,jFor i-th of radar
The distance between j-th of radar, diFor the distance between i-th of radar and Acquisition Receiver.
Further, in the step S2, more base radar power distribution models based on non-cooperative game are obtained according to formula (2)
It arrives:
In formula (2), P-iIndicate the transmission power of the every other radar in multistatic radar system in addition to i-th of radar,
Pi maxIndicate the upper limit of emission power of i-th of radar, QRIt is total for the radar in multistatic radar system,According to preset
I-th of radar target detection tracing Signal to Interference plus Noise Ratio thresholding, Pi maxFor i-th of radar transmission power upper limit, γiFor i-th of thunder
The Signal to Interference plus Noise Ratio reached, PiFor the transmission power of i-th of radar,For the unit recipient power price for i-th of radar,For
I-th of radar to Acquisition Receiver direct wave propagated loss, UMRS,iFor the game benefit function of i-th of radar；γi
It is obtained according to formula (3)；
In formula (3),It is lost again to the propagated of i-th of radar for i-th of radar to target,For i-th of radar
It is lost again to the propagated of j-th of radar to target,For the propagated of the direct wave of i-th of radar to j-th of radar
Loss, PjFor the transmission power of j-th of radar, ci,jIndicate the cross-correlation coefficient between i-th of radar and j-th of radar,For
Noise of radar receiver power.
Further, in the step S3, the game that enemy's Acquisition Receiver is obtained from more Ji Leidachu is calculated by formula (4)
Income:
In formula (4),For the unit recipient power price for i-th of radar, Pi *Reach Nash Equilibrium for i-th of radar
When transmission power,For the propagated loss of the direct wave of i-th of radar to Acquisition Receiver, QRFor multistatic radar system
In radar sum, UINTFor the game benefit function of enemy's Acquisition Receiver.
Further, in the step S4, the transmission power iteration expression formula of each radar passes through formula (5) in multistatic radar system
It obtains:
In formula (5), ite indicates the number of iterations,
Pi (ite+1)The transmission power of i-th of radar, P when for i-th te+1 times iterationi (ite)I-th when for i-th te times iteration
The transmission power of radar,The Signal to Interference plus Noise Ratio of i-th of radar when for i-th te times iteration,For according to preset i-th
The target detection tracing Signal to Interference plus Noise Ratio thresholding of radar, Pi maxFor i-th of radar transmission power upper limit,When for i-th te times iteration
For the unit recipient power price of i-th of radar,For the propagated damage of the direct wave of i-th of radar to Acquisition Receiver
Consumption.
The utility model has the advantages that the invention discloses a kind of more stealthy optimization sides of base radar radio frequency based on this tower Frederick Colberg game
Method, using enemy's Acquisition Receiver as game leader, using multistatic radar system as game follower, Acquisition Receiver is to each
Radar sets unit recipient power price, on this basis, excellent by non-cooperative game between each radar in multistatic radar system
The transmission power for changing adjustment itself minimizes in multistatic radar system under conditions of meeting given target detection tracing performance
The transmission power of each radar establishes more stealthy Optimized models of base radar radio frequency based on this tower Frederick Colberg game.The present invention will
Enemy's Acquisition Receiver has taken into account in betting model, and considers the game income of Acquisition Receiver side, compares existing skill
Art more reduces the radio-frequency radiation of multistatic radar system, not only meets given target detection tracing performance, but also effectively
The transmission power for controlling each radar in multistatic radar system improves the radio frequency Stealth Fighter of more base radars.
Detailed description of the invention
Fig. 1 is the schematic diagram of more base radar power distribution models in the specific embodiment of the invention；
Fig. 2 is the flow chart of method in the specific embodiment of the invention.
Specific embodiment
Present embodiment discloses a kind of more stealthy optimization sides of base radar radio frequency based on this tower Frederick Colberg game
Method, as shown in Figure 2, comprising the following steps:
S1: propagated loss and each radar and enemy in multistatic radar system between each radar and target are obtained and is cut
Obtain the propagated loss between receiver；
S2: according to preset target detection tracing Signal to Interference plus Noise Ratio thresholding and each radar transmission power upper limit, base is established
In more base radar power distribution models of non-cooperative game；More base radar power distribution models are also known as this tower Frederick Colberg game
Model, model are as shown in Figure 1；
S3: the game income that enemy's Acquisition Receiver is obtained from more Ji Leidachu is calculated；
S4: the transmission power iteration expression formula of each radar in multistatic radar system is obtained；
S5: Acquisition Receiver increases unit recipient power price, and constantly iteration updates, until the effectiveness of Acquisition Receiver
Function reaches convergence.
It should be strongly noted that although present embodiment uses in the economics such as game income, power price
Modeling means, but purpose be reduce multistatic radar system radio-frequency radiation, promoted radar radio frequency Stealth Fighter.Therefore, originally
Invention solves the problems, such as that " radio-frequency radiation of multistatic radar system how is effectively reduced " is technical problem, is not economic problems.
Between propagated loss and each radar and enemy's Acquisition Receiver in step S1 between each radar and target
Propagated loss obtained by formula (1)；
In formula (1),It is lost again to the propagated of i-th of radar for i-th of radar to target,For i-th of radar
It is lost again to the propagated of j-th of radar to target,For the propagated of the direct wave of i-th of radar to j-th of radar
Loss,For the propagated loss of the direct wave of i-th of radar to Acquisition Receiver, GtFor the transmitting antenna of i-th of radar
Gain, GrFor the receiving antenna gain of i-th of radar, G 'tFor the sidelobe emission antenna gain of i-th of radar, G 'rFor i-th of thunder
The secondary lobe receiving antenna gain reached, GIFor the receiving antenna gain of Acquisition Receiver,Thunder for target with respect to i-th of radar
Up to scattering section,Radar cross section for target with respect to i-th of radar and j-th of radar, λ are radar emission signal wave
It is long, RiFor the distance between i-th of radar and target, RjFor the distance between j-th of radar and target, di,jFor i-th of radar
The distance between j-th of radar, diFor the distance between i-th of radar and Acquisition Receiver.
In step S2, more base radar power distribution models based on non-cooperative game are obtained according to formula (2):
In formula (2), P-iIndicate the transmission power of the every other radar in multistatic radar system in addition to i-th of radar,
Pi maxIndicate the upper limit of emission power of i-th of radar, QRIt is total for the radar in multistatic radar system,According to preset
I-th of radar target detection tracing Signal to Interference plus Noise Ratio thresholding, Pi maxFor i-th of radar transmission power upper limit, γiFor i-th of thunder
The Signal to Interference plus Noise Ratio reached, PiFor the transmission power of i-th of radar,For the unit recipient power price for i-th of radar,For
I-th of radar to Acquisition Receiver direct wave propagated loss, UMRS,iFor the game benefit function of i-th of radar；γi
It is obtained according to formula (3)；
In formula (3),It is lost again to the propagated of i-th of radar for i-th of radar to target,For i-th of radar
It is lost again to the propagated of j-th of radar to target,For the propagated of the direct wave of i-th of radar to j-th of radar
Loss, PjFor the transmission power of j-th of radar, ci,jIndicate the cross-correlation coefficient between i-th of radar and j-th of radar,For
Noise of radar receiver power.
In step S3, the game income that enemy's Acquisition Receiver is obtained from more Ji Leidachu is calculated by formula (4):
In formula (4),For the unit recipient power price for i-th of radar, Pi *Reach Nash Equilibrium for i-th of radar
When transmission power,For the propagated loss of the direct wave of i-th of radar to Acquisition Receiver, QRFor multistatic radar system
In radar sum, UINTFor the game benefit function of enemy's Acquisition Receiver.
In step S4, the transmission power iteration expression formula of each radar is obtained by formula (5) in multistatic radar system:
In formula (5), ite indicates the number of iterations,
Pi (ite+1)The transmission power of i-th of radar, P when for i-th te+1 times iterationi (ite)I-th when for i-th te times iteration
The transmission power of radar,The Signal to Interference plus Noise Ratio of i-th of radar when for i-th te times iteration,For according to preset i-th
The target detection tracing Signal to Interference plus Noise Ratio thresholding of radar, Pi maxFor i-th of radar transmission power upper limit,When for i-th te times iteration
For the unit recipient power price of i-th of radar,For the propagated damage of the direct wave of i-th of radar to Acquisition Receiver
Consumption.
Claims (5)
1. a kind of more stealthy optimization methods of base radar radio frequency based on this tower Frederick Colberg game, it is characterised in that: including following
Step:
S1: propagated loss and each radar in multistatic radar system between each radar and target are obtained and intercepts and captures and connects with enemy
Propagated loss between receipts machine；
S2: it according to preset target detection tracing Signal to Interference plus Noise Ratio thresholding and each radar transmission power upper limit, establishes based on non-
More base radar power distribution models of cooperative game；
S3: the game income that enemy's Acquisition Receiver is obtained from more Ji Leidachu is calculated；
S4: the transmission power iteration expression formula of each radar in multistatic radar system is obtained；
S5: Acquisition Receiver increases unit recipient power price, and constantly iteration updates, until the utility function of Acquisition Receiver
Reach convergence.
2. more stealthy optimization methods of base radar radio frequency according to claim 1 based on this tower Frederick Colberg game, special
Sign is: the loss of propagated in the step S1 between each radar and target and each radar and enemy's Acquisition Receiver it
Between propagated loss obtained by formula (1)；
In formula (1),It is lost again to the propagated of i-th of radar for i-th of radar to target,For i-th of radar to mesh
Mark is lost to the propagated of j-th of radar again,Propagated for the direct wave of i-th of radar to j-th of radar is lost,For the propagated loss of the direct wave of i-th of radar to Acquisition Receiver, GtFor the transmitter antenna gain (dBi) of i-th of radar,
GrFor the receiving antenna gain of i-th of radar, Gt' be i-th of radar sidelobe emission antenna gain, Gr' it is i-th of radar
Secondary lobe receiving antenna gain, GIFor the receiving antenna gain of Acquisition Receiver,Radar for target with respect to i-th of radar dissipates
Section is penetrated,Radar cross section for target with respect to i-th of radar and j-th of radar, λ are radar emission signal wavelength, Ri
For the distance between i-th of radar and target, RjFor the distance between j-th of radar and target, di,jFor i-th of radar and jth
The distance between a radar, diFor the distance between i-th of radar and Acquisition Receiver.
3. more stealthy optimization methods of base radar radio frequency according to claim 1 based on this tower Frederick Colberg game, special
Sign is: in the step S2, more base radar power distribution models based on non-cooperative game are obtained according to formula (2):
In formula (2), P-iIndicate the transmission power of the every other radar in multistatic radar system in addition to i-th of radar, Pi maxTable
Show the upper limit of emission power of i-th of radar, QRIt is total for the radar in multistatic radar system,For according to preset i-th
The target detection tracing Signal to Interference plus Noise Ratio thresholding of a radar, Pi maxFor i-th of radar transmission power upper limit, γiFor i-th radar
Signal to Interference plus Noise Ratio, PiFor the transmission power of i-th of radar,For the unit recipient power price for i-th of radar,It is i-th
A radar to Acquisition Receiver direct wave propagated loss, UMRS,iFor the game benefit function of i-th of radar；γiRoot
It is obtained according to formula (3)；
In formula (3),It is lost again to the propagated of i-th of radar for i-th of radar to target,For i-th of radar to mesh
Mark is lost to the propagated of j-th of radar again,Propagated for the direct wave of i-th of radar to j-th of radar is lost,
PjFor the transmission power of j-th of radar, ci,jIndicate the cross-correlation coefficient between i-th of radar and j-th of radar,For radar
Receiver noise power.
4. more stealthy optimization methods of base radar radio frequency according to claim 1 based on this tower Frederick Colberg game, special
Sign is: in the step S3, the game income that enemy's Acquisition Receiver is obtained from more Ji Leidachu is calculated by formula (4):
In formula (4),For the unit recipient power price for i-th of radar, Pi *When reaching Nash Equilibrium for i-th of radar
Transmission power,For the propagated loss of the direct wave of i-th of radar to Acquisition Receiver, QRFor in multistatic radar system
Radar sum, UINTFor the game benefit function of enemy's Acquisition Receiver.
5. more stealthy optimization methods of base radar radio frequency according to claim 1 based on this tower Frederick Colberg game, special
Sign is: in the step S4, the transmission power iteration expression formula of each radar is obtained by formula (5) in multistatic radar system:
In formula (5), ite indicates the number of iterations,
Pi (ite +1)The transmission power of i-th of radar, P when for i-th te+1 times iterationi (ite)The transmitting function of i-th of radar when for i-th te times iteration
Rate,The Signal to Interference plus Noise Ratio of i-th of radar when for i-th te times iteration,To be visited according to the target of preset i-th of radar
Survey tracking Signal to Interference plus Noise Ratio thresholding, Pi maxFor i-th of radar transmission power upper limit,To be directed to i-th of thunder when i-th te times iteration
The unit recipient power price reached,For the propagated loss of the direct wave of i-th of radar to Acquisition Receiver.
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| CN111726192A (en) * | 2020-06-12 | 2020-09-29 | 南京航空航天大学 | Communication countermeasure medium frequency decision optimization method based on log linear algorithm |
| CN111726192B (en) * | 2020-06-12 | 2021-10-26 | 南京航空航天大学 | Communication countermeasure medium frequency decision optimization method based on log linear algorithm |
| CN111812628A (en) * | 2020-06-28 | 2020-10-23 | 南京航空航天大学 | Power control method of radar communication integrated networking system based on non-cooperative game |
| CN115616488A (en) * | 2022-09-30 | 2023-01-17 | 南京航空航天大学 | Low-interception distributed multi-carrier radar network non-cooperative game power distribution method |
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