CN106685441A - Radio frequency stealth radar networking power distribution method based on cooperative game - Google Patents

Radio frequency stealth radar networking power distribution method based on cooperative game Download PDF

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CN106685441A
CN106685441A CN201611128493.2A CN201611128493A CN106685441A CN 106685441 A CN106685441 A CN 106685441A CN 201611128493 A CN201611128493 A CN 201611128493A CN 106685441 A CN106685441 A CN 106685441A
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radar
radio frequency
transmission power
target
power
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CN106685441B (en
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时晨光
汪飞
李海林
周建江
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Nanjing University of Aeronautics and Astronautics
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Nanjing University of Aeronautics and Astronautics
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B1/00—Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/02—Transmitters
    • H04B1/04—Circuits
    • H04B1/0475—Circuits with means for limiting noise, interference or distortion
    • 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
    • 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
    • G01S7/38—Jamming means, e.g. producing false echoes
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2614—Peak power aspects

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Radar Systems Or Details Thereof (AREA)

Abstract

The invention discloses a radio frequency stealth radar networking power distribution method based on a cooperative game. The method comprises steps of firstly acquiring propagation loss between each radar and a target and the RCS of the target relative to each radar according to prior knowledge in the case that each radar works in the same frequency band in a radar networking system; then, taking the maximization of total emission power of the radar networking network as an objective, establishing a radio frequency stealth radar networking power distribution model based on a cooperative game under the condition that the target detection performance is met, and solving the model through the classic Lagrange relaxation algorithm; through iteration calculation, selecting each radar emission power, defined in the description, allowing the total emission power of the radar networking system to be the smallest to be the optimal solution under the condition that the target detection performance is met, and substituting the emission power, defined in the description, of each radar into the distribution model so as to obtain the smallest total emission power, which meets the constraint condition, of the radar networking system. According to the invention, the total emission power of each radar in the system is reduced ad the radio frequency stealth performance of the system is improved.

Description

A kind of radio frequency stealth radar networking power distribution method based on cooperative game
Technical field
The invention belongs to the technical field of radar power distribution, and in particular to a kind of stealthy thunder of the radio frequency based on cooperative game Up to networking power distribution method.
Background technology
From the point of view of Weapon Development trend, the characteristics of confrontation between systems is tech war.From web development rule From the point of view of rule, it is the certainty of era development that Radar Network System is integrated with multiple radar system.Rely on the network letter of high development Breath technology, battlefield system networking is the grown form of future war, and the direction that future is changed is " the war centered on sensor Strive " it is converted into " network-centric war ", the battlefield system of networking is relied on, be by Radar Network System information fusion Commander provides real-time, transparent spatial perception.Radar Network System is referred to strange land by specific procotol and equipment Multi-section transmitter, receiver and the Hub that dispersion is disposed connects into organic whole, realizes time domain, frequency domain, spatial domain collaboration Work, completes the comprehensive integrated electronic information to functions such as target reconnaissance, detection, information acquisition, recognition and tracking, firepower guiding System.
However, increasingly sophisticated with current Battle Field Electromagnetic, Passive Detention System causes the living environment of radar to receive Serious threat and challenge is arrived.Radio frequency stealth technology can be shown by methods such as control radar emittance, optimization radar waveforms Write reduction radar to be detected by enemy's passive electronic reconnaissance system, found, recognized, and the probability attacked by antiradiation missile, from And improve the battlefield viability and fighting efficiency of radar itself and its carrying platform.
The existing Radar Network System resource distribution mode stealthy based on radio frequency is broadly divided into two kinds, and one kind is to be based on to be The method of salary distribution of system composition structure, i.e., under conditions of systematic function set in advance is reached, using the radar pair of minimal number Target is detected；A kind of is based on the method for salary distribution of emission parameter, i.e., on the premise of certain performance requirements are met, to lead to Reasonable distribution transmission power is crossed, so as to minimize system total emission power, the radio frequency Stealth Fighter of Radar Network System is lifted.
Although said method proposes the thought based on the stealthy Radar Network System power distribution of radio frequency, improves radar The radio frequency Stealth Fighter of group network system, but these methods do not consider that the Radar Network System power for working in same frequency range divides Match somebody with somebody.Each radar is not affected by other radars in traditional Radar Network System power distribution method hypothesis system.However, It is each in Radar Network System with the continuous expansion sharply increased with bandwidth of operation of radar system quantity in practical application Radar is usually in same frequency range, can produce considerable influence to mutual performance.
The content of the invention
It is an object of the invention to provide a kind of radio frequency stealth radar networking power distribution method based on cooperative game, is examining Consider be operated in actual battlefield same frequency range Radar Network System combined detection is carried out to target in the case of, reduction radar group The total emission power of net system, the radio frequency Stealth Fighter of lift system.
For achieving the above object, the present invention is employed the following technical solutions：
A kind of radio frequency stealth radar networking power distribution method based on cooperative game, comprises the steps：
(1) according to priori, obtain in Radar Network System channel propagation impairments between each radar and target and Radar Cross Section of the target relative to each radar；
(2) radiation parameter and detection thresholding of Radar Network System are determined；
(3) Lagrange multiplier formula is builtAnd determine that satisfaction detects thresholding's Minimum total emission powerExpression formula；
According to the detection thresholding of specified SINRSet up based on receive it is assorted negotiate a price solution cooperative game radio frequency stealth radar group Net power distributionMathematical model：
Wherein, ui() is cooperative game utility function, and i represents radar numbering, p-iRepresent institute in the external system except radar i There are the transmission power of other radars, piThe transmission power of radar i is represented,The maximum transmission power of radar i is represented,Represent The emission maximum general power of Radar Network System, γiFor the Signal to Interference plus Noise Ratio of i-th radar；For specified SINR detection thresholdings；
Introduce Lagrange multiplierWithBuild the Lagrange multiplier formula such as following formula：
To transmission power piSeek local derviation；
(4) design can solve nonlinear equationOptimized classical Lagrange pine Relaxation algorithm
To determine the transmission power of each radarIn the Lagrange multiplier formula that step (3) is builtTo transmission power piLocal derviation is sought, and is made Meet p simultaneouslyi>=0, it is as follows：
(5) nonlinear equation is realizedOptimization
The formula finally given by solution procedure (4), obtains the transmission power of each radarIteration expression formula is：
Wherein,Lagrange multiplier WithRenewal can be iterated by Subgradient Algorithm, it is as follows：
Wherein, stFor iteration step length.
In step (1), the channel propagation impairments between each radar and target, its mathematical description in Radar Network System are obtained For：
Wherein,For the transmitter antenna gain (dBi) of i-th radar,For the receiving antenna gain of i-th radar,For mesh The RCS of relative i-th radar of mark, λ is radar emission signal wavelength, RiFor between i-th radar and target away from From NtFor radar number in system.
Step (2) is specially：According to the demand of radio frequency Stealth Fighter, it is assumed that i-th radar sends out in Radar Network System Penetrate antenna gain and receiving antenna gain is respectivelyIts maximum transmission power isThe maximum of Radar Network System Total emission power isAdditive white Gaussian noise power at radar receiver is σ2, according to the calculated mesh of specified SINR Mark detection thresholding
In step (3), the Signal to Interference plus Noise Ratio γ of i-th radariIt is represented by the following formula：
Wherein, ci,jRepresent the cross-correlation coefficient between radar i and radar j；Represent radar i and thunder Up to the channel propagation impairments between j；di,jFor the distance between radar i and radar j；σ2For system noise power.
In step (5), Jing iterative calculation will meet the formula that step (5) is obtained WithValue In substituting into the formula that step (4) finally gives, the one group of transmission power point for making Radar Network System total transmission power minimum is tried to achieve With resultAs optimal solution, and finally determine the total transmission power of system.
Beneficial effect：
Compared with prior art, the invention has the advantages that：
1. the present invention proposes a kind of radio frequency stealth radar networking power distribution method based on cooperative game, the method institute The main task for completing is that each radar that same frequency range is operated in Radar Network System is considered carries out combined detection to target On the basis of, to minimize the total transmission power of Radar Network System as target, in the condition for meeting certain target acquisition performance Under, self-adjusted block is carried out to each radar transmission power in system.
The advantage of the invention is both to have reduced the interference in Radar Network System between different radars, is also meeting system Guarantee that there is optimum radio frequency Stealth Fighter in the case of certain target acquisition performance.The reason for producing the advantage is that the present invention is adopted With the cooperative game power distribution method based on NBS, the method will work in each thunder of same frequency range in Radar Network System Up to game participant is regarded as, regard the power distribution result of each radar as game strategies set, to minimize Radar Network System Total transmission power is target, is set up based on the radio frequency stealth radar networking of cooperative game under conditions of certain systematic function is met Power distribution model.
2. compared with prior art, the radio frequency stealth radar networking power distribution side based on cooperative game proposed by the present invention Method, not only allows for impact of the interference in Radar Network System between different radars to target acquisition performance, and ensure that The radio frequency Stealth Fighter of Radar Network System.
Description of the drawings
Fig. 1 is the Radar Network System illustraton of model for working in same frequency range；
Fig. 2 is Radar Network System power distribution flow process figure；
Fig. 3 is each radar transmission power convergence；
Fig. 4 is each radar SINR performance convergences；
Each radar transmission power contrast under Fig. 5 distinct methods；
Fig. 6 is each radar SINR performance comparisons under distinct methods.
Specific embodiment
The present invention is done below in conjunction with the accompanying drawings further is explained.
As shown in Fig. 2 the radio frequency stealth radar networking power distribution method based on cooperative game of the present invention, including it is following Step：
Step 1, determine channel propagation impairments and target RCS
According to the propagation loss between each radar and target and target relative to each radar the priori such as RCS, really RCS of the fixed propagation loss and target between each radar and target relative to each radar.It is assumed that working in the thunder of same frequency range It is as shown in Figure 1 up to group network system model
Channel propagation impairments in Radar Network System between each radar and target, its mathematical description is：
Wherein,For the transmitter antenna gain (dBi) of i-th radar,For the receiving antenna gain of i-th radar,For mesh The RCS (Radar Cross Section, RCS) of relative i-th radar of mark, λ is radar emission signal wavelength, Ri For the distance between i-th radar and target, NtFor radar number in system.
The parameter such as step 2, the radiation parameter for determining Radar Network System and detection thresholding
According to the demand of radio frequency Stealth Fighter, it is assumed that the transmitter antenna gain (dBi) of i-th radar and connect in Radar Network System Receive antenna gain to be respectivelyIts maximum transmission power isThe emission maximum general power of Radar Network System isAdditive white Gaussian noise power at radar receiver is σ2, according to the calculated target acquisition thresholdings of specified SINR
Step 3, structure Lagrange multiplier formulaAnd determine that satisfaction detects thresholdingMinimum total emission powerExpression formula.
According to requirement of the Radar Network System to target acquisition performance, set up based on receiving the assorted solution (Nash that negotiates a price Bargaining Solution, NBS) cooperative game radio frequency stealth radar networking power distributionMathematical model, such as Shown in lower：
Wherein, ui() is cooperative game utility function, and i represents radar numbering, p-iRepresent institute in the external system except radar i There are the transmission power of other radars, piThe transmission power of radar i is represented,The maximum transmission power of radar i is represented,Represent The emission maximum general power of Radar Network System, γiFor the Signal to Interference plus Noise Ratio of i-th radar；For specified SINR detection thresholdings；
Introduce Lagrange multiplierWithBuild shown in Lagrange multiplier formula such as formula (2)：
Signal to Interference plus Noise Ratio (Signal-to-Interference-plus-Noise Ratio, the SINR) γ of i-th radari It is represented by the following formula：
Wherein, ci,jRepresent the cross-correlation coefficient between radar i and radar j；Represent radar i and thunder Up to the channel propagation impairments between j；di,jFor the distance between radar i and radar j；σ2For system noise power.
Step 4, design can solve nonlinear equationOptimized classical glug is bright Day relaxed algorithm
To determine the transmission power of each radarBy in (2) formulaTo launching work( Rate piLocal derviation is sought, and is madeMeet p simultaneouslyi>=0, it is as follows：
Step 5, realize nonlinear equationOptimization
By solving formula (3), the transmission power of each radar can be obtainedIteration expression formula is：
Wherein,Lagrange multiplier WithRenewal can be iterated by Subgradient Algorithm, it is as follows：
Wherein, stFor iteration step length.
Jing is iterated to calculate, and will meet formula (5)WithIn value substitution formula (4), trying to achieve makes thunder Up to one group of transmission power allocation result that group network system total transmission power is minimumAs optimal solution, and finally determine system Total transmission power.
Step 6, simulation result
Assume that the parameter in step 2 is as shown in table 1.
The simulation parameter of table 1 is arranged
Assume that the distance between each radar and target are respectively 60km, 100km, 80km, 50km, the relatively each radar of target RCS is 1m2.With SINR performances convergence respectively as shown in Figure 3, Figure 4, it is represented with target range not each radar transmission power Same radar with game number of times to increasing corresponding transmission power level and SINR performance evolution processes, it can be seen that in system Every radar probably after the game of 5~8 times, is obtaining good convergence, so as to demonstrate based on cooperative game The convergence of radio frequency stealth radar networking power distribution method, while ensure that the existence of NBS.In addition, can by Fig. 3, Fig. 4 Know, in the case where certain target acquisition performance is met, the transmission power of Radar Network System is distributed mainly by each radar and mesh Mark the distance between and target relative to each radar RCS determine, in the assignment procedure, system emission power mainly distribute to away from From target farther out, the less radar of target RCS, it is ensured that the radio frequency Stealth Fighter of Radar Network System.
Fig. 5, Fig. 6 sets forth each radar transmission power and SINR performance comparisons under distinct methods.Can from figure Go out, relative to traditional cooperative game method, the radio frequency stealth radar networking power distribution method based on cooperative game can be On the premise of meeting certain target acquisition performance, launch minimum power, this is because institute's extracting method is by improving cooperative game Utility function, the SINR performances that ensure that distance objective radar farther out meet the demand of target acquisition so that radar is not blindly By increase transmission power and increase SINR, therefore, institute's extracting method can be effectively reduced total transmitting of Radar Network System Power.In addition, relative to non-cooperative game K-G methods, institute's extracting method is not the increase of the simple blindness effectiveness of itself, but By bargaining with other radars in system, it is ensured that the overall performance of system is optimum, so as to the radio frequency for improving system is stealthy Performance.
From above-mentioned simulation result, based on the radio frequency stealth radar networking power distribution method of cooperative game, by radar Each radar that same frequency range is worked in group network system is set up based on the Cooperative reference of NBS, to minimize radar network composite system The total emission power of system is target, and to each radar transmission power in system self-adjusted block is carried out, so as to set the goal in satisfaction one Under conditions of detection performance, total emission power is significantly reduced, improve the radio frequency Stealth Fighter of system.
The present invention is in the case that first each radar works in same frequency range in Radar Network System, according to priori, RCS of the propagation loss and target in acquisition system between each radar and target relative to each radar；Then, minimizing thunder Total transmission power up to group network system is target, under conditions of certain target acquisition performance is met, sets up and is based on cooperative game Radio frequency stealth radar networking power distribution model, and model is solved by classical Lagrangian Relaxation Algorithm.Jing changes In generation, calculates, and is chosen at and meets each radar emission that Radar Network System total emission power minimum is caused under target acquisition performance condition PowerAs optimal solution, by the transmission power of each radarIn substitution formula (1), you can obtain meeting constraints Radar Network System minimum total emission power.
The above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should It is considered as protection scope of the present invention.

Claims (5)

1. a kind of radio frequency stealth radar networking power distribution method based on cooperative game, it is characterised in that：Comprise the steps：
(1) according to priori, channel propagation impairments and target between each radar and target in Radar Network System are obtained Relative to the Radar Cross Section of each radar；
(2) radiation parameter and detection thresholding of Radar Network System are determined；
(3) Lagrange multiplier formula is builtAnd determine that satisfaction detects thresholdingMinimum Total emission powerExpression formula；
According to the detection thresholding of specified SINRSet up based on receive it is assorted negotiate a price solution cooperative game radio frequency stealth radar networking power DistributionMathematical model：
max { p i , i = 1 , ... , N t } Σ i = 1 N t u i ( p i , p - i ) = Σ i = 1 N t h i ln ( γ i - γ t h min γ i ) , s . t . : γ i ≥ γ t h min , i = 1 , ... , N t 0 ≤ p i ≤ p i max , i = 1 , ... , N t Σ i = 1 N t p i ≤ p t o t max
Wherein, ui() is cooperative game utility function, and i represents radar numbering, p-iRepresent except radar i external system in it is all its The transmission power of his radar, piThe transmission power of radar i is represented,The maximum transmission power of radar i is represented,Represent radar The emission maximum general power of group network system, γiFor the Signal to Interference plus Noise Ratio of i-th radar；For specified SINR detection thresholdings；
Introduce Lagrange multiplierWithBuild the Lagrange multiplier formula such as following formula：
(4) design can solve nonlinear equationOptimized classical Lagrange relaxation is calculated Method
To determine the transmission power of each radarIn the Lagrange multiplier formula that step (3) is builtTo transmission power piLocal derviation is sought, and is made Meet p simultaneouslyi>=0, it is as follows：
(5) nonlinear equation is realizedOptimization
The formula finally given by solution procedure (4), obtains the transmission power of each radarIteration expression formula is：
p i ( n + 1 ) = 1 2 ( p i ( n ) &gamma; i ( n ) &gamma; t h min + A ) , 0 < p i ( n + 1 ) < p i max p i max , p i ( n + 1 ) &GreaterEqual; p i max
Wherein,Lagrange multiplierWith Renewal can be iterated by Subgradient Algorithm, it is as follows：
Wherein, stFor iteration step length.
2. the radio frequency stealth radar networking power distribution method based on cooperative game according to claim 1, its feature exists In：In step (1), the channel propagation impairments between each radar and target in Radar Network System are obtained, its mathematical description is：
h i , i = G i t G i r &sigma; i R C S &lambda; 2 ( 4 &pi; ) 3 R i 4 , i = 1 , 2 , ... , N t
Wherein,For the transmitter antenna gain (dBi) of i-th radar,For the receiving antenna gain of i-th radar,It is relative for target The RCS of i-th radar, λ be radar emission signal wavelength, RiFor the distance between i-th radar and target, NtFor Radar number in system.
3. the radio frequency stealth radar networking power distribution method based on cooperative game according to claim 1, its feature exists In：Step (2) is specially：According to the demand of radio frequency Stealth Fighter, it is assumed that the transmitting antenna of i-th radar in Radar Network System Gain and receiving antenna gain are respectivelyIts maximum transmission power isThe emission maximum of Radar Network System is total Power isAdditive white Gaussian noise power at radar receiver is σ2, according to the calculated target acquisitions of specified SINR Thresholding
4. the radio frequency stealth radar networking power distribution method based on cooperative game according to claim 1, its feature exists In：In step (3), the Signal to Interference plus Noise Ratio γ of i-th radariIt is represented by the following formula：
&gamma; i = h i , i p i &Sigma; j = 1 , j &NotEqual; i N t c i , j h i , j p j + &sigma; 2 , i = 1 , 2 , ... , N t
Wherein, ci,jRepresent the cross-correlation coefficient between radar i and radar j；Represent radar i and radar j Between channel propagation impairments；di,jFor the distance between radar i and radar j；σ2For system noise power.
5. the radio frequency stealth radar networking power distribution method based on cooperative game according to claim 1, its feature exists In：In step (5), Jing iterative calculation will meet the formula that step (5) is obtainedWithValue is substituted into In the formula that step (4) finally gives, the one group of transmission power distribution knot for making Radar Network System total transmission power minimum is tried to achieve ReallyAs optimal solution, and finally determine the total transmission power of system.
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