CN107957573A - A kind of airborne radar hop period design method based on Hybrid chaotic maps - Google Patents
A kind of airborne radar hop period design method based on Hybrid chaotic maps Download PDFInfo
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- CN107957573A CN107957573A CN201710998193.8A CN201710998193A CN107957573A CN 107957573 A CN107957573 A CN 107957573A CN 201710998193 A CN201710998193 A CN 201710998193A CN 107957573 A CN107957573 A CN 107957573A
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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
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Abstract
The invention discloses a kind of airborne radar hop period design method based on Hybrid chaotic maps, the main task that this method is completed is to maximize the uncertainty of airborne radar hop period as optimization aim, the chaos sequence with pseudorandom, noise like and aperiodic characteristic variations is produced using the Hybrid mappings in chaology, and mapped the sequence and normalized in airborne radar hop period space, so as to carry out adaptive optimal controls to the airborne radar Frequency hopping transmissions cycle.Compared with prior art, airborne radar hop period design method proposed by the present invention based on Hybrid chaotic maps, not only meet the maximum uncertainty of radar signal parameter, be conducive to be lifted the radio frequency Stealth Fighter of airborne frequency-agile radar, and Hybrid chaotic maps security is good, it is not easy to be attacked and decoded.
Description
Technical field
The invention belongs to the technical field of radar hop period design, specifically proposes a kind of based on Hybrid chaotic maps
Airborne radar hop period design method.
Background technology
Aircraft radio frequency stealth technology is confrontation enemy's Passive Detention System, protects as a kind of important active stealth
Barrier fighter plane and its first enemy that forms into columns have found, first oppose strike, first oppose the important means of destruction.Specifically, the stealthy skill of aircraft radio frequency
Art refer to the airborne active electronic devices such as airborne radar, data-link, altimeter resist enemy's Passive Detention System intercept and capture, sorting,
The stealth technology of identification, to reduce the intercept probability of Passive Detention System, engagement range as target, so as to lift the battlefield of aircraft
Survival ability and penetration ability.The technologies such as aircraft radio frequency stealth technology and radar invisible, infrared stealth are different, it is necessary to be meeting
Reduce the radio-frequency radiation feature of air environment to greatest extent on the premise of system performance and combat duty, and lift airborne penetrate
The uncertainty of radio-frequency radiation signal parameter.
Maximum uncertainty strategy is the importance of aircraft radio frequency stealthing design, makes airborne radio frequency spoke by certain strategy
The uncertain maximization of signal parameter is penetrated, makes enemy's Passive Detention System be difficult to detect, so as to improve airborne radiofrequency signal
Anti-intercepting and capturing, anti-sorting and anti-recognition performance.Frequency-agile radar realizes that the pseudorandom of radar signal frequecy characteristic becomes using frequency hop sequences
Change, so as to ensure the radio frequency Stealth Fighter of signal.
Although conventional method proposes airborne radar Frequency Hopping Signal design philosophy, increase airborne radar signal parameter not
Certainty, improves its radio frequency Stealth Fighter, but these methods do not consider the uncertainty in Frequency hopping transmissions cycle, what it was used
Hop period is fixed value, and enemy's Passive Detention System still can be by characteristic parameters such as frequency hopping rate, Hopping frequencies collection to thunder
Estimated up to signal, realize the intercepting and capturing, sorting and identification of airborne radar Frequency Hopping Signal.In addition, currently used Logistic
Although chaotic maps have good sequence randomness, it is widely used and form is too simple, and enemy easily attacks and breaks
Translate, security performance is very poor.It is a kind of new chaos sequence maker and Hybrid chaotic maps forms are complex, so peace
Full property is more preferable, it is difficult to by enemy attack and decoding.
The content of the invention
Technical problem underlying to be solved by this invention is：Using Hybrid chaos sequences to airborne radar Frequency hopping transmissions week
Phase optimizes, and hop period of the generation with pseudorandom, noise like and aperiodic characteristic variations, maximizes airborne frequency hopping
The maximum uncertainty of radar signal parameter, so as to lift the radio frequency Stealth Fighter of airborne radar.
The present invention is from practical application, it is proposed that a kind of airborne radar hop period based on Hybrid chaotic maps is set
Meter method, the chaos with pseudorandom, noise like and aperiodic characteristic variations is produced using the Hybrid mappings in chaology
Sequence, and the sequence is mapped and normalized in airborne radar hop period space, maximize airborne frequency hopping thunder
Up to the maximum uncertainty of signal parameter, so as to lift the radio frequency Stealth Fighter of airborne radar.
The present invention uses following technical scheme to solve above-mentioned technical problem：
A kind of airborne radar hop period design method based on Hybrid chaotic maps, includes the following steps：
(1) parameter μ of Hybrid chaotic maps is obtained1、μ2, b and system initial value x0, ensure that generated sequence has puppet
At random, noise like and aperiodic characteristic；
(2) airborne radar hop period design is carried out using Hybrid chaotic maps, Hybrid chaotic maps are as follows：
In formula, μ1、μ2It is systematic parameter with b, xkRepresent the sequential value of kth time iteration, xk+1Represent the sequence of+1 iteration of kth
Train value.For all xk∈ (- 1,1), in given parameters μ1、μ2, b and system initial value x0In the case of, mixed by Hybrid
The iterative calculation of ignorant mapping can obtain the Hybrid chaos sequences of random length.
(3) respectively in system initial valueWithLower generation chaos sequenceWithAnd two chaos sequences are done
Difference, chaos sequence of the generation with pseudorandom, noise like and aperiodic characteristic variationsIt is as follows：
(4) the fixation hop period of traditional frequency-agile radar is set as Tconst, by chaos sequenceIn airborne radar frequency hopping
Carry out mapping in periodic spatial and normalized is as follows：
Wherein,For Hybrid chaos sequencesSequence of mapping in hop period space.Airborne frequency-agile radar
Can be according to sequence of mappingSelf adaptive control is carried out to the transmit cycle of Frequency Hopping Signal.
Compared with prior art, the invention has the advantages that：
It is quick according to the initial value of chaos sequence present invention employs the hop period design method based on Hybrid chaos sequences
Perception, difference is done by Hybrid chaos sequences caused by two different system initial values, and empty in airborne radar hop period
Between in mapped and normalized, to obtain the airborne radar hop period with maximum uncertainty.With the prior art
Compare, the airborne radar hop period design method proposed by the present invention based on Hybrid chaotic maps, not only meet that radar is believed
The maximum uncertainty of number parameter, is conducive to be lifted the radio frequency Stealth Fighter of airborne frequency-agile radar, and Hybrid chaotic maps
Security is good, is not easy to be attacked and decoded.
Brief description of the drawings
Fig. 1 is airborne radar hop period design flow diagram.
Fig. 2 is Hybrid Chaotic map sequences when initial value is 0.5.
Fig. 3 is Hybrid Chaotic map sequences when initial value is 0.6.
Fig. 4 is the hop period correlation curve under distinct methods.
Embodiment
The structure and the course of work of the present invention are described further below in conjunction with the accompanying drawings.
1st, Hybrid chaotic maps parameter and system initial value are determined
The present invention proposes a kind of airborne radar hop period design method based on Hybrid chaotic maps.It considers mixed
The initial value sensitivity of ignorant sequence, therefore, should determine parameter μ in Hybrid chaotic maps first1、μ2, b and system initial value x0。
2nd, Hybrid chaos sequences are generated
Airborne radar hop period design is carried out using Hybrid chaotic maps, Hybrid chaotic maps are as follows：
In formula, μ1、μ2It is systematic parameter with b, xkRepresent the sequential value of kth time iteration, xk+1Represent the sequence of+1 iteration of kth
Train value.For all xk∈ (- 1,1), in given parameters μ1、μ2, b and system initial value x0In the case of, mixed by Hybrid
The iterative calculation of ignorant mapping can obtain the Hybrid chaos sequences of random length.
Respectively in system initial valueWithLower generation chaos sequenceWithAnd two chaos sequences are made the difference
Value, chaos sequence of the generation with pseudorandom, noise like and aperiodic characteristic variationsIt is as follows：
3rd, frequency-agile radar transmit cycle sequence is designed
The fixation hop period of given tradition frequency-agile radar is Tconst, by chaos sequenceIn airborne radar hop period
Carry out mapping in space and normalized is as follows：
In formula,For Hybrid chaos sequencesSequence of mapping in hop period space.Airborne frequency-agile radar
Can be according to sequence of mappingSelf adaptive control is carried out to the transmit cycle of Frequency Hopping Signal.
4th, airborne radar hop period is uncertain weighs
The uncertainty of airborne radar signal parameter is usually characterized using entropy.The uncertainty of signal parameter is bigger, its
Entropy is also bigger.The mathematic(al) representation of entropy is as follows：
In formula, T={ T1,T2,…,Ti,…,TNRepresenting the set that all hop periods are formed, h (T) represents frequency hopping week
The entropy of phase, p (Ti) it is TiProbability density function.
5th, simulation result
Assuming that the parameter in the 1st step is as shown in table 1.
1 simulation parameter of table is set
Hybrid Chaotic map sequences when initial value is 0.5 are as shown in Fig. 2, Hybrid chaos when initial value is 0.6
Sequence of mapping is as shown in Figure 3.It can be seen from the figure that even if initial value difference very little, after successive ignition, Hybrid chaos
Sequential value but differs widely caused by mapping.Therefore, can be by Hybrid chaos sequences caused by two different initial values
Difference is done, is controlled using obtained new sequence pair airborne radar hop period.Hop period contrast under distinct methods is bent
Line is as shown in Figure 4.As shown in Figure 4, jump caused by the airborne radar hop period design method based on Hybrid chaotic maps
The frequency cycle in value range according to pseudorandom, noise like and aperiodic characteristic variations so that enemy's Passive Detention System
It is difficult to Frequency Hopping Signal sequential is estimated and predicted.And conventional on-board frequency-agile radar is had worst using fixed hop period
Uncertainty, easily detected by enemy's Acquisition Receiver.
Entropy contrast under 2 distinct methods of table
The uncertainty of airborne radar hop period is weighed using the comentropy in formula (4).Table 2 gives difference
Entropy contrast under hop period design method.As can be seen from Table 2, the airborne radar frequency hopping week based on Hybrid chaotic maps
The entropy of phase design method is 5.2983, and the hop period fixed employed in hop period method is definite value, its entropy
For 0.Therefore, the signal parameter uncertainty of the airborne radar hop period design method based on Hybrid chaotic maps is much better than
Fixed hop period method, so that with more preferably radio frequency Stealth Fighter.
From above-mentioned simulation result, the airborne radar hop period design method based on Hybrid chaotic maps, with most
The uncertainty of bigization airborne radar hop period is optimization aim, is produced using Hybrid chaotic maps with chaotic characteristic
Pseudo-random sequence, and the sequence is mapped in airborne radar hop period space, adaptive optimal controls frequency-agile radar
Transmit cycle, so as to increase effectively the uncertainty of airborne radar transmission signal parameters, improves its radio frequency Stealth Fighter.
The operation principle and the course of work of the invention：
The present invention is mapped first with the Hybrid in chaology, according to the initial value sensitivity of chaos sequence, setting
Hybrid parameter values and system initial value, chaos sequence of the generation with pseudorandom, noise like and aperiodic characteristic variations；So
Afterwards, to maximize the uncertainty of airborne radar hop period as optimization aim, by caused by two different system initial values
Hybrid chaos sequences do difference, and are mapped in airborne radar hop period space and normalized, you can obtain
Airborne radar hop period with maximum uncertainty
The inventive point of the invention：
1st, mapped using the Hybrid in chaology, according to the initial value sensitivity of chaos sequence, set Hybrid parameters
Value and system initial value, chaos sequence of the generation with pseudorandom, noise like and aperiodic characteristic variations；
2nd, to maximize the uncertainty of airborne radar hop period as optimization aim, utilize Hybrid chaotic maps (1)
The pseudo-random sequence with chaotic characteristic is produced, which is mapped in airborne radar hop period space, and carries out
Normalized, determines the airborne radar Frequency hopping transmissions cycle with maximum uncertainty
Those skilled in the art of the present technique are it is understood that unless otherwise defined, all terms used herein (including skill
Art term and scientific terminology) there is the meaning identical with the general understanding of the those of ordinary skill in fields of the present invention.Also
It should be understood that those terms such as defined in the general dictionary should be understood that with the context of the prior art
The consistent meaning of meaning, and unless defined as here, will not be explained with the implication of idealization or overly formal.
Above-described embodiment, has carried out the purpose of the present invention, technical solution and beneficial effect further
Describe in detail, it should be understood that the foregoing is merely the embodiment of the present invention, be not limited to this hair
Bright, within the spirit and principles of the invention, any modification, equivalent substitution, improvement and etc. done, should be included in the present invention
Protection domain within.
Claims (2)
1. a kind of airborne radar hop period design method based on Hybrid chaotic maps, it is characterised in that utilize Hybrid
Chaotic maps produce Hybrid chaos sequences, and the Hybrid chaos sequences are reflected in airborne radar hop period space
Penetrate and normalized, obtain sequence of mapping of the Hybrid chaos sequences in hop period space, airborne frequency-agile radar
Self adaptive control is carried out to the transmit cycle of Frequency Hopping Signal according to the sequence of mapping, obtains that there is the airborne of maximum uncertainty
Radar hop period.
2. a kind of airborne radar hop period design method based on Hybrid chaotic maps according to claim 1, its
It is characterized in that, specific steps include：
Step 1：Obtain the parameter μ of Hybrid chaotic maps1、μ2, b and system initial value x0；
Step 2：Generate Hybrid chaos sequences；
Hybrid chaotic maps are as follows：
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</mfenced>
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In formula, μ1、μ2It is systematic parameter with b, xkRepresent the sequential value of kth time iteration, xk+1Represent the sequence of+1 iteration of kth
Value；
Respectively in system initial valueWithLower generation chaos sequenceWithAnd two chaos sequences are done into difference, it is raw
Into Hybrid chaos sequencesIt is as follows：
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Step 3：Generate sequence of mapping of the Hybrid chaos sequences in hop period space；
The fixation hop period of given tradition frequency-agile radar is Tconst, by chaos sequenceIn airborne radar hop period space
In map and normalized it is as follows：
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In formula,For Hybrid chaos sequencesSequence of mapping in hop period space；
Step 4：Airborne frequency-agile radar is according to sequence of mappingSelf adaptive control is carried out to the transmit cycle of Frequency Hopping Signal, is obtained
Airborne radar hop period with maximum uncertainty
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| CN107231228A (en) * | 2017-07-11 | 2017-10-03 | 厦门声戎科技有限公司 | The low communication interception design method of mixed chaos |
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2017
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|---|---|---|---|---|
| WO2016161134A1 (en) * | 2015-03-31 | 2016-10-06 | Board Of Regents, The University Of Texas System | Method and apparatus for hybrid encryption |
| CN106100695A (en) * | 2016-06-14 | 2016-11-09 | 西安电子科技大学 | A kind of pattern modulation frequency hopping Anti TBIgG method based on Constructing Chaotic Code |
| CN107094072A (en) * | 2017-03-28 | 2017-08-25 | 广东工业大学 | A kind of mixed chaos encryption method based on general Henon Map |
| CN107231228A (en) * | 2017-07-11 | 2017-10-03 | 厦门声戎科技有限公司 | The low communication interception design method of mixed chaos |
Non-Patent Citations (4)
| Title |
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| 张朝霞: "超宽带通信系统中跳时序列的研究", 《中国博士学位论文全文数据库 信息科技辑》 * |
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| 杨宇晓等: "基于混沌序列的射频隐身跳频周期设计方法", 《航空兵器》 * |
| 罗启彬等: "基于混沌理论的伪随机序列的产生及性能分析", 《2005通信理论与技术新进展——第十届全国青年通信学术会议论文集》 * |
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