CN108089163A - Frequency-agile radar transmit cycle design method based on optical bistable chaotic model - Google Patents
Frequency-agile radar transmit cycle design method based on optical bistable chaotic model Download PDFInfo
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- CN108089163A CN108089163A CN201711082836.0A CN201711082836A CN108089163A CN 108089163 A CN108089163 A CN 108089163A CN 201711082836 A CN201711082836 A CN 201711082836A CN 108089163 A CN108089163 A CN 108089163A
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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
- G01S7/38—Jamming means, e.g. producing false echoes
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Abstract
The invention discloses a kind of frequency-agile radar transmit cycle design method based on optical bistable chaotic model it is characterized in that, to maximize the uncertainty of radar system hop period as optimization aim, the chaos sequence with pseudorandom, noise like and aperiodic characteristic variations is generated using the optical bistable model in chaology, and mapped the sequence and normalized in radar hop period space, so as to carry out adaptive optimal controls to the radar Frequency hopping transmissions cycle.The advantageous effect that is reached of the present invention is：The radar Frequency hopping transmissions cycle is optimized using optical bistable chaotic model, hop period of the generation with pseudorandom, noise like and aperiodic characteristic variations, the maximum uncertainty of frequency-agile radar signal parameter is maximized, so as to promote the radio frequency Stealth Fighter of radar system.
Description
Technical field
The present invention relates to a kind of frequency-agile radar transmit cycle design methods based on optical bistable chaotic model, belong to radar
Hop period design field.
Background technology
In modern electronic warfare, stealth is the key factor that aircraft improves existence and penetration ability, is also to ensure that war
Strive middle first enemy discovery, the essential condition of preemptive attack.From the 1970s, pre research Plan Bureau of mid-term U.S. Department of Defense leads
Since the correlative study work for first carrying out Aircraft Stealth Technology, by the development of nearly half a century, each military power of the world is flying
Significant progress and development are all achieved in machine stealth technology, various new invisbile planes emerge in an endless stream, and invisbile plane is in the modern times
The effect to become more and more important is played on battlefield.The outstanding representative of invisbile plane is the stealthy fighter planes of F-117A in the U.S., and B-2 is stealthy
Bomber and the stealthy fighter plane of the advanced tactics of F-22, they represent invisbile plane different historical stage and stealth technology respectively
Developing direction.Make a general survey of the development course of invisbile plane, Aircraft Stealth Technology include radar stealth technology, infrared stealth technology,
Sound stealth technology, visual stealth technology, laser stealth technology and radio frequency stealth technology etc..
Wherein radio frequency stealth technology is a kind of new stealth technology being suggested in recent years, to resist passive detection system
System, purpose, which is that, allows enemy to be in constantly conjecture, when enemy has found target, with late.Passive Detention System
On the premise of electromagnetic wave is not emitted, far distance can be detected, there is stronger concealment, to the survival ability structure of aircraft
Into serious threat.With the development and application of stealth technology, will appear from future battlefield more and more, function admirable each
Kind Stealth weapons break established attacking and defending balance, promote the various detection systems in system of defense that major transformation occurs, not
The disconnected development for promoting stealth technology.
Radio frequency stealth technology refers to the target signature decrement control technology of radio-frequency radiation signal, it is therefore an objective to increase enemy's radio frequency
Passive Detention System signal detection, the difficulty of sorting identification, realize weapon platform compared with enemy's RF passive detection system
" stealthy ".The propagation of the radiofrequency signal of aircraft radio frequency active sensor radiation and its mistake for being detected, handling by Passive Detention System
Journey schematic diagram is as shown in Figure 1.
Maximum uncertainty strategy is the importance of radio frequency stealthing design, joins radio-frequency radiation signal by certain strategy
Several uncertain maximizations, makes enemy's Passive Detention System be difficult to detect, so as to improve the anti-intercepting and capturing of radiofrequency signal, anti-sorting
With anti-recognition performance.Frequency-agile radar realizes that the pseudorandom of radar signal frequecy characteristic changes using frequency hop sequences, so as to ensure to believe
Number radio frequency Stealth Fighter.
Although conventional method proposes radar Frequency Hopping Signal design philosophy, increase the uncertainty of radar signal parameter,
Its radio frequency Stealth Fighter is improved, but these methods do not consider the uncertainty in Frequency hopping transmissions cycle, the frequency hopping week used
Phase is fixed value, and enemy's Passive Detention System still can be by characteristic parameters such as frequency hopping rate, Hopping frequencies collection to radar signal
Estimated, realize intercepting and capturing, sorting and the identification of airborne radar Frequency Hopping Signal.In addition, currently used Logistic chaos is reflected
Although penetrating with good sequence randomness, it is widely used and form is too simple, and enemy easily attacks and decodes, safety
Poor performance；And the radar hop period directly generated by optical bistable chaotic maps is susceptible to the phenomenon that flocks together.
The content of the invention
To solve the deficiencies in the prior art, it is an object of the invention to provide a kind of jumps based on optical bistable chaotic model
Frequency radar emission cycle design method optimizes the radar Frequency hopping transmissions cycle using optical bistable chaotic model, raw
Into the hop period with pseudorandom, noise like and aperiodic characteristic variations, maximize frequency-agile radar signal parameter most very much not
Certainty, so as to promote the radio frequency Stealth Fighter of radar system.
In order to realize above-mentioned target, the present invention adopts the following technical scheme that：
A kind of frequency-agile radar transmit cycle design method based on optical bistable chaotic model, it is characterized in that, including as follows
Step：
Step 1) is according to the stealthy maximum uncertainty strategy of radio frequency, at the beginning of determining optical bistable chaotic model parameter and system
Value；
Step 2) is to maximize the uncertainty of frequency-agile radar transmit cycle as optimization aim, using optical bistable chaos mould
Type carries out frequency-agile radar transmit cycle design, generates optical bistable chaos sequence；
Step 3) designs and determines frequency-agile radar transmit cycle sequence；
Step 4) weighs the uncertainty of frequency-agile radar transmit cycle, to obtain the frequency-agile radar with maximum uncertainty
Transmit cycle.
A kind of foregoing frequency-agile radar transmit cycle design method based on optical bistable chaotic model, it is characterized in that, institute
Stating particular content in step 1) is：Obtain parameter A, B of optical bistable chaotic model and system initial value x0, ensure generated sequence
Row have pseudorandom, noise like and aperiodic characteristic.
A kind of foregoing frequency-agile radar transmit cycle design method based on optical bistable chaotic model, it is characterized in that, institute
State the following x of optical bistable chaotic model in step 2)k+1=Asin2(xk- B), in formula, A and B are systematic parameter, xkRepresent kth time
The sequential value of iteration, xk+1Represent the sequential value of+1 iteration of kth；
For all xk, in given parameters A, B and system initial value x0In the case of, pass through optical bistable chaotic model
Iterative calculation can obtain the optical bistable chaos sequence of random length.
A kind of foregoing frequency-agile radar transmit cycle design method based on optical bistable chaotic model, it is characterized in that, institute
Step 3) is stated to include the following steps：
31) two chaos sequences are determined：Respectively in system initial valueWithLower generation chaos sequenceWithN
For the number in chaos sequence；
32) according to the fixed frequency modulation cycle, chaos sequence to difference and is normalized；
33) result handled according to step 32) determines hop period.
A kind of foregoing frequency-agile radar transmit cycle design method based on optical bistable chaotic model, it is characterized in that, institute
Stating step 32) includes following content：
Two chaos sequences are done into difference, chaos sequence of the generation with pseudorandom, noise like and aperiodic characteristic variationsIt is as follows：
A kind of foregoing frequency-agile radar transmit cycle design method based on optical bistable chaotic model, it is characterized in that, institute
Stating step 33) includes following content：
The fixation hop period of traditional frequency-agile radar is set as Ta, by chaos sequenceIn radar hop period space
Map and normalized is as follows：Wherein,For optical bistable chaos sequenceIn frequency hopping week
Sequence of mapping in phase space；
Frequency-agile radar is according to sequence of mappingSelf adaptive control is carried out to the transmit cycle of Frequency Hopping Signal.
A kind of foregoing frequency-agile radar transmit cycle design method based on optical bistable chaotic model, it is characterized in that, institute
The particular content stated in step 4) is：
The uncertainty of radar system transmission signal parameters is characterized using entropy, and the uncertainty of signal parameter is bigger,
Entropy is also bigger, and 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 the entropy of hop period, p (Ti) it is TiProbability density letter
Number.
The advantageous effect that the present invention is reached：1) this method both ensure that the maximum of frequency-agile radar signal parameter was not known
Property improves the radio frequency Stealth Fighter of frequency-agile radar, and optical bistable chaotic model security is good, is not easy to be attacked；2) originally
Method makes the difference optical bistable chaos sequence caused by two different system initial values according to the initial value sensitivity of chaos sequence
Value overcomes traditional optical bistable mapping and directly generates the phenomenon that flocks together of chaos sequence, and in radar hop period space into
Row mapping and normalized, to obtain the frequency-agile radar transmit cycle with maximum uncertainty；3) optical bistable used
Chaotic model form is complex, and security is more preferable, it is difficult to by enemy attack and decoding；4) radar signal parameter is not only met
Maximum uncertainty is conducive to be promoted the radio frequency Stealth Fighter of frequency-agile radar, and optical bistable chaotic model security is good, no
Easily attacked and decoded.
Description of the drawings
Fig. 1 is that aircraft radio frequency radiation signal intercepts and captures process schematic by Passive Detention System；
Fig. 2 is frequency-agile radar transmit cycle design flow diagram；
Fig. 3 is optical bistable chaos sequence when initial value is 0.5；
Fig. 4 is optical bistable chaos sequence when initial value is 0.6；
Fig. 5 is frequency-agile radar transmit cycle when initial value is 0.5；
Fig. 6 is frequency-agile radar transmit cycle when initial value is 0.6；
Fig. 7 is the frequency-agile radar transmit cycle correlation curve under distinct methods.
Specific embodiment
The invention will be further described below in conjunction with the accompanying drawings.Following embodiment is only used for clearly illustrating the present invention
Technical solution, and be not intended to limit the protection scope of the present invention and limit the scope of the invention.
The present invention is first with the optical bistable chaotic model in chaology, according to the initial value sensitivity of chaos sequence,
Optical bistable model parameter value and system initial value are set, generation is with the mixed of pseudorandom, noise like and aperiodic characteristic variations
Ignorant sequence；Then, to maximize the uncertainty of frequency-agile radar transmit cycle as optimization aim, by two different system initial values
Generated optical bistable chaos sequence does difference, and is mapped in radar hop period space and normalized, i.e.,
It can obtain the frequency-agile radar transmit cycle with maximum uncertainty.
It concretely comprises the following steps：
Step 1) determines optical bistable chaotic model parameter and system initial value, this step considers that the initial value of chaos sequence is quick
Perception should determine parameter A, B of optical bistable chaotic model and system initial value x first0, ensure generated sequence have it is pseudo- with
Machine, noise like and aperiodic characteristic.
Step 2) carries out frequency-agile radar transmit cycle design using optical bistable chaotic model, and optical bistable chaotic model is such as
Under：xk+1=Asin2(xk- B), in formula, A and B are systematic parameter, xkRepresent the sequential value of kth time iteration, xk+1Represent kth+1 time
The sequential value of iteration.
For all xk, in given parameters A, B and system initial value x0In the case of, pass through optical bistable chaotic model
Iterative calculation can obtain the optical bistable chaos sequence 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：
Step 3) designs frequency-agile radar transmit cycle sequence：The fixation hop period of given tradition frequency-agile radar is Ta, will
Chaos sequenceIn radar hop period space map and normalized is as follows：In formula,For optical bistable chaos sequenceSequence of mapping in hop period space.Frequency-agile radar can be according to sequence of mappingSelf adaptive control is carried out to the transmit cycle of Frequency Hopping Signal.
Step 4) weighs frequency-agile radar transmit cycle uncertainty, and the uncertainty of radar system transmission signal parameters is usually
It is characterized using entropy.The uncertainty of signal parameter is bigger, and entropy is also bigger.The mathematic(al) representation of entropy is as follows：In formula, T={ T1,T2,…,Ti,…,TNRepresent the set that all hop periods are formed, h
(T) entropy of hop period, p (T are representedi) it is TiProbability density function.
The simulation result of the present invention is illustrated in conjunction with the embodiments：
Assuming that the parameter in the 1st step is as shown in table 1.
1 simulation parameter of table is set
Optical bistable chaos sequence when initial value is 0.5 is as shown in figure 3, optical bistable chaos when initial value is 0.6
Sequence as shown in figure 4, frequency-agile radar transmit cycle when initial value is 0.5 as shown in figure 5, frequency hopping thunder when initial value is 0.6
It is as shown in Figure 6 up to transmit cycle.
It can be seen from the figure that even if initial value difference very little, after successive ignition, optical bistable chaotic maps are produced
Raw sequential value but differs, but the phenomenon that significantly flocks together occurs.Therefore, by optics caused by two different initial values
Bistable chaos sequence does difference, is controlled using obtained new sequence pair radar hop period.
Hop period correlation curve under distinct methods is as shown in Figure 7.As shown in Figure 7, based on optical bistable chaotic model
Frequency-agile radar transmit cycle design method caused by hop period in value range according to pseudorandom, noise like and non-week
Phase characteristic variations overcome the phenomenon that flocks together that traditional optical bistable mapping directly generates hop period, so that enemy is passive
Detection system is difficult to that Frequency Hopping Signal sequential is estimated and predicted.And traditional frequency-agile radar is had using fixed hop period
Worst uncertainty is easily detected by enemy's Acquisition Receiver.
Entropy comparison under 2 distinct methods of table
The uncertainty of frequency-agile radar transmit cycle is weighed using the comentropy in step 4).Table 2 gives not
With the entropy comparison under hop period design method.As can be seen from Table 2, the frequency-agile radar hair based on optical bistable chaotic model
The entropy for penetrating cycle design method is 5.7038, and the hop period fixed employed in hop period method is definite value,
Entropy is 0.Therefore, the signal parameter of the frequency-agile radar transmit cycle design method based on optical bistable chaotic model is uncertain
It is much better than fixed hop period method, so as to more preferably radio frequency Stealth Fighter.
From above-mentioned simulation result, the frequency-agile radar transmit cycle design method based on optical bistable chaotic model, with
The uncertainty of radar hop period is maximized as optimization aim, is generated using optical bistable chaotic maps with chaotic characteristic
Pseudo-random sequence, and the sequence is mapped in radar hop period space, the transmitting of adaptive optimal controls frequency-agile radar
Cycle so as to increase effectively the uncertainty of radar emission signal parameter, further improves its radio frequency Stealth Fighter.
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, without departing from the technical principles of the invention, several improvement and deformation can also be made, these are improved and deformation
Also it should be regarded as protection scope of the present invention.
Claims (7)
1. a kind of frequency-agile radar transmit cycle design method based on optical bistable chaotic model, it is characterized in that, including walking as follows
Suddenly：
Step 1) determines optical bistable chaotic model parameter and system initial value according to the stealthy maximum uncertainty strategy of radio frequency；
Step 2) with maximize frequency-agile radar transmit cycle uncertainty for optimization aim, using optical bistable chaotic model into
Row frequency-agile radar transmit cycle designs, and generates optical bistable chaos sequence；
Step 3) designs and determines frequency-agile radar transmit cycle sequence；
Step 4) weighs the uncertainty of frequency-agile radar transmit cycle, is emitted with the frequency-agile radar for obtaining having maximum uncertainty
Cycle.
2. a kind of frequency-agile radar transmit cycle design method based on optical bistable chaotic model according to claim 1,
It is characterized in that particular content is in the step 1)：Obtain the parameter of optical bistable chaotic model and system initial value x0, ensure institute
The sequence of generation has pseudorandom, noise like and aperiodic characteristic.
3. a kind of frequency-agile radar transmit cycle design method based on optical bistable chaotic model according to claim 2,
It is characterized in that the following x of optical bistable chaotic model in the step 2)k+1=Asin2(xk- B), in formula, A and B are systematic parameter,
xkRepresent the sequential value of kth time iteration, xk+1Represent the sequential value of+1 iteration of kth；
For all xk, in given parameters A, B and system initial value x0In the case of, pass through changing for optical bistable chaotic model
In generation, calculates the optical bistable chaos sequence that can obtain random length.
4. a kind of frequency-agile radar transmit cycle design method based on optical bistable chaotic model according to claim 1,
It is characterized in that the step 3) includes the following steps：
31) two chaos sequences are determined：Respectively in system initial valueWithLower generation chaos sequenceWithN is mixed
Number in ignorant sequence；
32) according to the fixed frequency modulation cycle, chaos sequence to difference and is normalized；
33) result handled according to step 32) determines hop period.
5. a kind of frequency-agile radar transmit cycle design method based on optical bistable chaotic model according to claim 4,
It is characterized in that the step 32) includes following content：
Two chaos sequences are done into difference, chaos sequence of the generation with pseudorandom, noise like and aperiodic characteristic variations
It is as follows：
6. a kind of frequency-agile radar transmit cycle design method based on optical bistable chaotic model according to claim 5,
It is characterized in that the step 33) includes following content：
The fixation hop period of traditional frequency-agile radar is set as Ta, by chaos sequenceIt is carried out in radar hop period space
It maps and normalized is as follows：Wherein,For optical bistable chaos sequenceIt is empty in hop period
Between in sequence of mapping；
Frequency-agile radar is according to sequence of mappingSelf adaptive control is carried out to the transmit cycle of Frequency Hopping Signal.
7. a kind of frequency-agile radar transmit cycle design method based on optical bistable chaotic model according to claim 6,
It is characterized in that the particular content in the step 4) is：
The uncertainty of radar system transmission signal parameters is characterized using entropy, uncertain bigger, the entropy of signal parameter
Also bigger, the mathematic(al) representation of entropy is as follows：In formula, T={ T1,T2,…,Ti,…,TNTable
Show the set that all hop periods are formed, h (T) represents the entropy of hop period, p (Ti) it is TiProbability density function.
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| US11509042B2 (en) | 2019-12-09 | 2022-11-22 | Arbe Robotics Ltd. | Radome for automotive radar patch antenna |
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| US11650286B2 (en) | 2017-01-24 | 2023-05-16 | Arbe Robotics Ltd. | Method for separating targets and clutter from noise, in radar signals |
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| US11811142B2 (en) | 2018-09-05 | 2023-11-07 | Arbe Robotics Ltd. | Skewed MIMO antenna array for use in automotive imaging radar |
| US11852747B2 (en) | 2018-07-19 | 2023-12-26 | Arbe Robotics Ltd. | Apparatus and method of eliminating settling time delays in a radar system |
| US11921195B2 (en) | 2018-07-19 | 2024-03-05 | Arbe Robotics Ltd. | Apparatus and method of RF built in self-test (RFBIST) in a radar system |
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| US11650286B2 (en) | 2017-01-24 | 2023-05-16 | Arbe Robotics Ltd. | Method for separating targets and clutter from noise, in radar signals |
| US11520003B2 (en) | 2017-11-29 | 2022-12-06 | Arbe Robotics Ltd. | Detection, mitigation and avoidance of mutual interference between automotive radars |
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| US11808881B2 (en) | 2018-07-19 | 2023-11-07 | Arbe Robotics Ltd. | Apparatus and method of two-stage signal processing in a radar system |
| US11852747B2 (en) | 2018-07-19 | 2023-12-26 | Arbe Robotics Ltd. | Apparatus and method of eliminating settling time delays in a radar system |
| US11921195B2 (en) | 2018-07-19 | 2024-03-05 | Arbe Robotics Ltd. | Apparatus and method of RF built in self-test (RFBIST) in a radar system |
| US11811142B2 (en) | 2018-09-05 | 2023-11-07 | Arbe Robotics Ltd. | Skewed MIMO antenna array for use in automotive imaging radar |
| US11509042B2 (en) | 2019-12-09 | 2022-11-22 | Arbe Robotics Ltd. | Radome for automotive radar patch antenna |
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Application publication date: 20180529 |