CN103018717A - Method and system for generating chaotic frequency modulated radar signals based on combined mapping - Google Patents
Method and system for generating chaotic frequency modulated radar signals based on combined mapping Download PDFInfo
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Abstract
The invention relates to a method and a system for generating chaotic frequency modulated radar signals based on combined mapping. The method comprises the following steps of: 101) generating a combined mapping chaotic sequence which is obtained by using first chaotic mapping as parent mapping, generating child mapping parameters of second chaotic mapping and combining child sequences of the second chaotic mapping under the parameters; and 102) performing radar signal frequency modulation by using the combined mapping sequence to obtain the chaotic frequency modulated radar signals based on the combined mapping, wherein the first chaotic mapping is Logistic mapping, and the second chaotic mapping is Bernoulli mapping. In the process that the digital system realizes the chaotic frequency modulated radar signals, the limitation that the chaotic property of the chaotic sequence is destroyed by quantization word length is eliminated; and compared with the conventional chaotic frequency modulated signals, the performance of the generated chaotic frequency modulated signals is remarkably promoted.
Description
Technical field
The present invention relates to the radar signal design field, particularly utilize chaotic maps design chaotic fm radar signal field in the noise radar.
Background technology
Chaos is the very general phenomenon of nature, and a large amount of dynamical systems of occurring in nature can be thought Chaos dynamic system, and the motion of rule is at relative subrange and exists in the short time.But until U.S. meteorologist Lorenz in 1963 has delivered " determinism cycle " at " atmospheric science " magazine, described famous butterfly effect, just opened the prelude to the further investigation of chaos phenomenon.The seventies, Chaos is formally set up, and has launched the upsurge of chaos study in each scientific domain.In the later stage eighties, chaos technology is widely used at aspects such as secret communication, input.Enter after the nineties, chaology begins to be applied in the radar system.
Noise radar be a kind of with noise source as transmitting or the radar of signal modulation format because the random nature that transmits, noise radar has very excellent low probability of intercept performance and the jamproof ability of electronics.Its ambiguity function is desirable drawing pin type, has simultaneously high distance and velocity resolution.Therefore, as far back as the sixties in 20th century US and European some countries just given widely concern to noise radar.But, owing to be subjected at that time the restriction of manufacturing process and the technical merit of electronic devices and components, substantially all be in the theoretical analysis stage for the research of noise radar.Until after the eighties in 20th century, along with the appearance of solid state microwave device and VLSI (very large scale integrated circuit) allows the realization of noise signal become possibility, just increase gradually for the action oriented research of noise radar.
Chaotic signal is the noise-like signal that is produced by deterministic system, and chaotic signal has the character such as initial value susceptibility, aperiodicity and long-term unpredictability.To the research of chaotic signal, launch from the later stage eighties.Leon OChua has at first studied the chaos phenomenon in the second order digital filter, and uses the chaos digital wave filter to produce pseudo random number.The people such as Torhu Kohda have studied the pseudo-random sequence that is produced by the chaos Nonlinear Mapping, have provided a simple adequate condition of this class mapping generation Bernoulli sequence.Than noise signal, chaotic signal is more prone to produce and control, utilizes chaotic signal to replace noise signal to realize that noise radar is a kind of good selection.
But the existing secondary lobe that utilizes chaotic signal to carry out the chaotic fm radar signal that radar signal frequency modulation obtains is higher.So proposed many Innovative methods.Document Bin, C., et al., Chaotic Signals with Weak-StructureUsed for High Resohution Radar Imaging.2009:p.325-330. has proposed to utilize the weak structure characteristic to instruct the generation of chaotic maps, and has proposed multistage Bernoulli chaotic maps with this; Document Yang, J., et al.Frequencymodulated radar signals based on high dimensional chaotic maps.in Signal Processing (ICSP), 2010IEEE 10th International Conference on.2010. utilizes the multi-dimension Chaos mapping to produce chaotic fm signal, reduces the secondary lobe of radar signal autocorrelation function with this; Document Yunkai, D., H.Yinghui, and G.Xupu, Hyper ChaoticLogistic Phase Coded Signal and Its Sidelobe Suppression.Aerospace and Electronic Systems, IEEETransactions on, 2010.46 (2): p.672-686. utilize hyperchaos Logistic phase encoding to come suppressed sidelobes in conjunction with the Tikhonov method.But above-mentioned these methods all do not consider to quantize when hardware is realized chaotic maps the impact of word length, and when utilizing digital device to realize chaotic maps in real system, it is always limited to quantize word length.The chaotic signal that produces is a kind of pseudo random signal in essence, and maximum cycle is determined by the word length of digital device.When the word length that quantizes was M, the maximum cycle of one dimension mapping was no more than 2
M, the maximum cycle of N dimension mapping is no more than 2
NM
Quantize the impact that word length is brought in order to solve, this paper has proposed a kind of chaotic fm signal based on combinatorial mapping.Combinatorial mapping has been applied in the secret communication field owing to have more complicated phase space structure, but uses also fewer in field of radar at present.Combinatorial mapping among the present invention is combined by Logistic mapping and Bernoulli mapping, also can be used for the combination of other chaotic maps.As father's mapping, produce the parameter of each Bernoulli mapping with the Logistic mapping, the mapping of the Bernoulli under each parameter subsequence is combined obtains the combinatorial mapping sequence again.
Summary of the invention
The object of the invention is to, produce in the process of Chaotic map sequence at digital device for overcoming prior art, the quantification word length of digital device is destroyed the defective of sequence chaotic characteristic, the invention provides and a kind of digital device is quantized the insensitive chaotic fm radar signal of word length, be i.e. a kind of production method and system of the chaotic fm radar signal based on combinatorial mapping.
For achieving the above object, the invention provides a kind of production method of the chaotic fm radar signal based on combinatorial mapping, described method comprises:
Step 101) produces the combinatorial mapping chaos sequence, described combinatorial mapping chaos sequence is: the first chaotic maps is shone upon as the father, produce the sub-mapping parameters of the second chaotic maps, and the combination of the second chaotic maps subsequence under each parameter is obtained the combinatorial mapping sequence;
Step 102) described combinatorial mapping sequence is used for radar signal frequency modulation, obtains based on combinatorial mapping chaotic fm radar signal;
Wherein, the parameter that described the first range of a mapping process translation and stretching obtain can make the second mapping satisfy chaotic characteristic;
Described the second range of a mapping scope bounded will make this mapping satisfy chaotic characteristic, and the parameter of this mapping need to meet some requirements, and needs to satisfy 1.4＜B＜2 such as the Bernoulli mapping, and the Logistic mapping needs to satisfy 3.569945＜u≤4.
Above-mentioned steps 101) further comprise:
Step 101-1) shines upon as the father with the Logistic mapping, produce the B parameter of each Bernoulli mapping;
Step 101-2) mapping of the Bernoulli under each B parameter subsequence is combined, obtain the combinatorial mapping sequence.
Based on said method, the present invention also provides a kind of generation system of the chaotic fm radar signal based on combinatorial mapping, and described system comprises:
The combinatorial mapping generation module, for generation of the combinatorial mapping chaos sequence, described combinatorial mapping chaos sequence is: the first chaotic maps is shone upon as the father, produce the sub-mapping parameters of the second chaotic maps, and the subsequence combination of the second chaotic maps under each parameter is obtained the combinatorial mapping sequence;
Radar signal frequency modulation module is used for the combinatorial mapping sequence of combinatorial mapping generation module output is used for radar signal frequency modulation, obtains based on combinatorial mapping chaotic fm radar signal.
Above-mentioned the first chaotic maps is the Logistic mapping, and the second chaotic maps is the Bernoulli mapping.
Combinations thereof mapping generation module further comprises:
The first mapping submodule is used for shining upon as the father with the Logistic mapping, produces the B parameter of each Bernoulli mapping;
Combinatorial mapping produces submodule, is used for the sub-sequence of mapping of the Bernoulli under each B parameter is combined, and obtains the combinatorial mapping sequence.
Compared with prior art, the invention has the advantages that:
The present invention can overcome in the process of digital device generation Chaotic map sequence, and the quantification word length of digital device is destroyed the defective of sequence chaotic characteristic.Quantizing in the short situation of word length, the chaotic fm radar signal that the present invention produces still has low peak sidelobe ratio, and strong antijamming capability.Wide lower when identical radar signal, the chaotic fm radar signal that the present invention produces is more suitable for producing the signal of large bandwidth.
Description of drawings
Fig. 1 is the structural representation of combinatorial mapping;
Fig. 2 is that the phase space structure of combinatorial mapping and Performance Ratio are than synoptic diagram;
Fig. 3 (a) be when not considering word length combinatorial mapping autocorrelation function and Performance Ratio than synoptic diagram;
Fig. 3 (b) be word length when being 14 combinatorial mapping autocorrelation function and Performance Ratio than synoptic diagram;
Fig. 4 (a) be when not considering word length combinatorial mapping entropy and Performance Ratio than synoptic diagram;
Fig. 4 (b) be word length when being 14 combinatorial mapping entropy and Performance Ratio than synoptic diagram;
Fig. 5 (a) be when not considering word length combinatorial mapping chaotic fm signal autocorrelation function and Performance Ratio than synoptic diagram;
Fig. 5 (b) be word length when being 14 combinatorial mapping chaotic fm signal autocorrelation function and Performance Ratio than synoptic diagram;
Fig. 6 (a) be when not considering word length combinatorial mapping chaotic fm signal power spectrum and Performance Ratio than synoptic diagram;
Fig. 6 (b) be word length when being 14 combinatorial mapping chaotic fm signal power spectrum and Performance Ratio than synoptic diagram;
Fig. 7 (a) is that chaotic fm signal power spectrum variance does not change synoptic diagram with the signal bandwidth when considering word length;
Fig. 7 (b) be word length when being 14 chaotic fm signal power spectrum variance change synoptic diagram with the signal bandwidth;
Fig. 8 quantizes word length the impact of chaotic fm signal power spectrum flatness is changed synoptic diagram with the signal bandwidth;
Embodiment
Below in conjunction with accompanying drawing the present invention is done and to be described in further detail.
To achieve these goals, the invention provides a kind of method for designing of the chaotic fm radar signal based on combinatorial mapping.Wherein, described combinatorial mapping is combined by Logistic mapping and Bernoulli mapping, (for example: first is mapped as Tent mapping and second is mapped as the Bernoulli mapping, and first is mapped as Quadratic mapping (Quadratic Map) and second is mapped as Tent and shines upon etc. also to can be used for the combination of other chaotic maps; And when adopting the first chaotic maps and the second chaotic maps to be respectively tent Tent mapping and Bernoulli mapping, at this moment, because Tent range of a mapping scope is at-0.5＜x
nThe B parameter scope of＜0.5, Bernoulli mapping is in 1.4＜B＜2, and therefore, parameter calculation formula is B
m=0.6x
m+ 1.7).Shine upon as the father with described Logistic mapping, parameter for generation of the mapping of described Bernoulli, the sub-sequence of mapping combination of Bernoulli under the different parameters is obtained the combinatorial mapping sequence, described combinatorial mapping sequence is used for radar signal frequency modulation, obtains the chaotic fm radar signal based on combinatorial mapping.Wherein the method for chaotic fm signal is fixed, and utilizes the method for chaos sequence radar signal frequency modulation to see formula (7).And the innovative point of maximum of the present invention has been to utilize simple method to produce new combinatorial mapping chaos sequence, and utilizing this sequence to carry out radar signal that frequency modulation obtains has significant lifting than the chaotic fm signal of prior art in performance.Solved simultaneously a limitation that realizes chaotic fm signal in digital display circuit: quantize the chaotic characteristic that word length is destroyed chaos sequence.
Above-mentioned Bernoulli mapping and Logistic mapping can be put upside down mutually.Just just different from the parameter calculation formula of the first range of a mapping to the second mapping, if make Bernoulli be mapped as the first mapping, Logistic is mapped as the second mapping, and then the computing formula of parameter should be u
m=0.43x
m+ 3.785, x wherein
mBe Bernoulli sequence of mapping, u
mIt is the parameter of m Logistic mapping subsequence.In the technique scheme, described combinatorial mapping is combined by Logistic mapping and Bernoulli mapping, also can be used for the combination of other chaotic maps.
In the technique scheme, as father's mapping, the parameter for generation of the mapping of Bernoulli combines the sub-sequence of mapping of the Bernoulli under the different parameters, obtains the combinatorial mapping sequence with the Logistic mapping.
In the technique scheme, described combinatorial mapping is used for radar signal frequency modulation, obtains the chaotic fm radar signal based on combinatorial mapping.
(1) combination chaotic maps
1.1 the generation of combination chaotic maps
The one-dimensional discrete time form of chaotic maps can be written as f: φ → φ makes φ that (n Δ t) is the discrete form of chaotic maps φ (t), then
φ[(n+1)Δt]＝φ
n+1＝f[φ(nΔt)] (1)
Wherein Δ t represents the sample interval, and f () is the Nonlinear Mapping function, makes sequence { φ
0, φ
1, φ
nHas a fractal property.
The Logistic mapping is an a kind of Nonlinear Dynamic System of widely knowing, and the expression-form of Logistic mapping is
x
n+1＝f(x
n)＝u·x
n·(1-x
n)0＜x
n＜1 (2)
Wherein u is for the control parameter, and when 3.569945＜u≤4, this Logistic mapping has chaotic behavior.
The Bernoulli mapping is defined as:
In order to guarantee that this Bernoulli mapping has chaotic characteristic, need to satisfy Parameter Conditions 1.4＜B＜2.
Logistic mapping and Bernoulli mapping all are the mapping of one dimension, and as the discrete time pseudo-random sequence, when the quantification word length of digital device was M, the maximum cycle of sequence was no more than 2
MIn order to improve the chaotic characteristic of pseudo-random sequence, increase the cycle of pseudo-random sequence, the present invention proposes a kind of combination chaotic maps based on Logistic mapping and Bernoulli mapping.As father's mapping, produce the B parameter of each Bernoulli mapping with the Logistic mapping, again the mapping of the Bernoulli under each B parameter subsequence is combined, obtain the combinatorial mapping sequence.Expression-form of this combination chaotic maps { φ } shown in (4), sequence { x wherein
nThe Logistic chaos sequence, because the span of Logistic chaos sequence is 0＜x
n＜1, the scope of B parameter is 1.4＜B＜2, therefore, and B
m=1.4+0.6x
mThe structure of this combinatorial mapping is seen Fig. 1.
1.2 performance simulation and the comparison of combination chaotic maps
The two-dimensional phase space structure of combinatorial mapping and Logistic mapping and Bernoulli mapping is compared, the result as shown in Figure 2, Logistic mapping and Bernoulli shine upon and have stable, structure clearly, and mapping structure is one to one, and sequence is identified easily and rebuilds.But for the combination chaotic maps, mapping structure is one-to-many, and structure is more complicated.Even known the currency of chaos sequence, the sequence after also can't expecting, the confidential nature of chaos sequence improves a lot.
Autocorrelation function to the combination chaotic maps carries out emulation, and shines upon as a comparison with Logistic mapping and Bernoulli.Simulation result shown in Fig. 3 (a) and Fig. 3 (b), the autocorrelation function of Fig. 3 (a) when not considering word length wherein; Autocorrelation function when Fig. 3 (b) is 14 corresponding to the quantification word length.The sequence length of emulation is 2000.When not considering word length, the autocorrelation function performance of Logistic mapping, Bernoulli mapping and combinatorial mapping approaches.The PSLR of autocorrelation function is about-32dB.When word length was 14, the PSLR of Logistic mapping and Bernoulli mapping autocorrelation function rose a lot, and graing lobe occurred; Wherein the PSLR of Logistic sequence is-12.5dB, and the PSLR of Bernoulli sequence is-17.7dB; And combination chaos sequence PSLR is-32.1dB, and PSLR shines upon more than the low 14dB than Logistic mapping and Bernoulli.Illustrate to quantize the chaotic characteristic that word length has been destroyed Logistic mapping and Bernoulli mapping, but very little on the impact of combinatorial mapping.
Entropy can be measured the randomness of variable, and entropy is larger, and the randomness of variable is better; On the contrary, entropy is less, and the randomness of variable is poorer.For continuous variable, entropy is defined as follows:
Wherein, x is corresponding continuous variable, and p (x) is corresponding probability density.For discrete variable, entropy is defined as:
P
kProbability density corresponding to discrete variable.
As seen from Figure 4, when not considering word length, the entropy of combinatorial mapping and Bernoulli mapping is very approaching, and the entropy of Logistic mapping is minimum, illustrates that the randomness performance of combinatorial mapping and Bernoulli mapping approaches, and the random character of Logistic mapping is the poorest.When word length was 14, the entropy of Bernoulli mapping and Logistic mapping had descended a lot, and along with sampled point is more, the slippage of entropy is also larger.And the entropy of combinatorial mapping does not have anything to change substantially.Explanation is under the impact that quantizes word length, and the chaotic characteristic of Bernoulli mapping and Logistic mapping has suffered destruction, and combinatorial mapping is quantized the impact of word length hardly.(2) combinatorial mapping chaotic fm radar signal
2.1 the generation of combinatorial mapping chaotic fm radar signal
The model of chaotic fm signal is:
Wherein A is the amplitude of chaotic fm signal, and K is coefficient of frequency modulation; The instantaneous frequency of s emission signal s (t) is K φ (t), and the frequency band range of s (t) is K φ
Min(t)≤f≤K φ
Max(t), guaranteeing in the distortionless situation of signal sampling, need to satisfy Nyquist sampling law, i.e. f
s〉=K[φ
Max(t)-φ
Min(t)], sampling time interval is t
s=1/f
sThe discrete form of s (t) is:
2.2 the performance simulation of combinatorial mapping chaotic fm signal and comparison
The autocorrelation function of radar signal has been described the range resolution characteristic of signal, and its expression-form is:
R(τ)＝E{s(t)s
*(t+τ)} (10)
Wherein τ is corresponding delay, and corresponding discrete form is:
R(m)＝E{s(n)s
*(n+m)} (11)
Because the existing DDS(Direct Digital Synthesizer that produces radar signal) common maximum quantification word length is 14, therefore in order to analyze the performance of combinatorial mapping, is that 14 two kinds of situations are carried out emulation to not considering word length and word length.Wide during the signal of emulation is 10us, and the number of sampled point is 1000, and corresponding bandwidth is 100MHz.Because the class random character of chaos sequence in order to guarantee result's reliability, has been realized 50 times the chaotic fm signal of different initial values in simulation process, then the autocorrelation function of 50 signals is averaged.The autocorrelation function simulation result of combinatorial mapping chaotic fm signal is shown in Fig. 5 (a) and Fig. 5 (b).
Can see from Fig. 5 (a) and Fig. 5 (b), when not considering word length, the PSLR of the chaotic fm signal that Logistic mapping, Bernoulli mapping and combinatorial mapping produce is respectively-13dB ,-31.3dB and-28.2dB.When the quantification word length is 14, the PSLR of the chaotic fm signal that Logistic mapping, Bernoulli mapping and combinatorial mapping produce is respectively-12dB ,-18.9dB and-27.7dB, wherein the chaotic fm radar signal that produces of Logistic mapping has produced graing lobe.Combinatorial mapping is than the low 8.8dB of PSLR of Logistic mapping and Bernoulli mapping generation.This is because the quantification word length is shone upon Logistic and the chaotic characteristic of Bernoulli mapping, and is but very little on the impact of combinatorial mapping.
The range resolution of radar determines that by the effective bandwidth that transmits under identical spectrum width, the power spectrum that transmits is more smooth, and then effective bandwidth is larger, and corresponding range resolution is higher; Simultaneously, power spectrum is more smooth, and more close to the power spectrum of white noise, the low intercepting and capturing performance that transmits is better for the power spectrum of signal.Therefore, in the process of radar signal design, the power spectrum of radar signal is more smooth better.
According to Wei Na-khintchine's theorem, the power spectrum density of radar signal is the Fourier transform of autocorrelation function.But in order to reduce variance and to improve confidence level, adopt period map method to carry out power Spectral Estimation.For the chaotic fm signal of M different initial values, the autocorrelation function of M signal is averaging, carry out again Fourier transform.The spectra calculation formula of period map method is:
R wherein
kIt is the autocorrelation function of k chaotic fm signal.Simulation result shown in Fig. 6 (a) and Fig. 6 (b), the power spectrum of Fig. 6 (a) chaotic fm signal when not considering that word length affects wherein, the power spectrum of chaotic fm signal when Fig. 6 (b) is 14 for word length.
Can see from Fig. 6 (a) and Fig. 6 (b), when not considering word length, the chaotic fm signal power spectrum flatness that Bernoulli mapping and combinatorial mapping produce is basically identical, fluctuation range is all in 5dB, and the power spectrum flatness of Logsitic chaotic fm signal is very poor, and fluctuation range surpasses 15dB.When word length was 14, the power spectrum flatness of Logistic and Bernoulli chaotic fm signal is variation all; Wherein, Logistic chaotic fm signal power spectrum fluctuation range surpasses 30dB, the power spectrum variation range of Bernoulli chaotic fm signal is also near 25dB, and the power spectrum of combination chaotic fm signal does not but change substantially, and fluctuation range is still in 5dB.
For the flatness qualities of quantitative analysis chaotic fm signal power spectrum, calculate the power spectrum variance of chaotic fm signal.Variance is less, and then the fluctuation of power spectrum signal is less, and power spectrum is more smooth; On the contrary, variance is larger, and power spectrum is more uneven.Respectively to not considering that word length and word length are that 14 chaotic fm signals in two kinds of situations carry out emulation, in the emulation signal the time wide be 10us, the bandwidth variation range is from 50MHz to 200MHz, simulation result as shown in Figure 7 and Figure 8.
Can see that from Fig. 7 and Fig. 8 when not considering word length, the chaotic fm signal power spectrum variance that Bernoulli mapping and combinatorial mapping produce is very approaching, the power spectrum variance of Logistic chaotic fm signal is maximum.When word length was 14, the power spectrum variance of combination chaotic fm signal did not change substantially, and the power spectrum variance of the chaotic fm signal that Bernoulli mapping and Logistic mapping produce has increased a lot.Illustrate to quantize the chaotic fm signal power spectrum flatness that word length has been destroyed Logistic mapping and Bernoulli mapping generation, and along with signal bandwidth is larger, the increase of power spectrum variance is more.Wide lower when identical, and the power spectrum flatness impact of the chaotic fm signal that combinatorial mapping is produced is very little.Below wide when identical, combinatorial mapping is fit to produce the chaotic fm radar signal of large bandwidth more.
In a word, the invention provides a kind of method for designing of the chaotic fm radar signal based on combinatorial mapping, described combinatorial mapping is shone upon by Logistic mapping and Bernoulli and combines, and also can be used for the combination of other chaotic maps.As father's mapping, produce the parameter of described Bernoulli mapping with described Logistic mapping, the combination of the mapping of the Bernoulli under different parameters subsequence is obtained the combinatorial mapping sequence.Described combinatorial mapping is used for radar signal frequency modulation, obtains described combinatorial mapping chaotic fm radar signal.The present invention has overcome the defective of quantification word length destruction sequence chaotic characteristic in producing the chaotic maps process of digital device, than traditional chaotic fm signal, the present invention more also can produce low peak sidelobe ratio in the quantification word length, has stronger antijamming capability; Be more suitable for the chaotic fm radar signal of the larger bandwidth of wide lower generation when identical.
It should be noted last that above embodiment is only unrestricted in order to technical scheme of the present invention to be described.Although with reference to embodiment the present invention is had been described in detail, those of ordinary skill in the art is to be understood that, technical scheme of the present invention is made amendment or is equal to replacement, do not break away from the spirit and scope of technical solution of the present invention, it all should be encompassed in the middle of the claim scope of the present invention.
Claims (8)
1. production method based on the chaotic fm radar signal of combinatorial mapping, described method comprises:
Step 101) produces the combinatorial mapping chaos sequence, described combinatorial mapping chaos sequence is: the first chaotic maps is shone upon as the father, produce the sub-mapping parameters of the second chaotic maps, and the combination of the second chaotic maps subsequence under each parameter is obtained the combinatorial mapping sequence;
Step 102) described combinatorial mapping sequence is used for radar signal frequency modulation, obtains based on combinatorial mapping chaotic fm radar signal;
Wherein, the parameter that the process translation of the codomain of described the first chaotic maps and stretching obtain can make the second mapping satisfy the condition of chaotic characteristic;
Described the second range of a mapping scope bounded satisfies chaotic characteristic simultaneously.
2. the production method of the chaotic fm radar signal based on combinatorial mapping according to claim 1 is characterized in that, described the first chaotic maps is the Logistic mapping, and the second chaotic maps is the Bernoulli mapping.
3. the production method of the chaotic fm radar signal based on combinatorial mapping according to claim 2 is characterized in that described step 101) further comprise:
Step 101-1) shines upon as the father with the Logistic mapping, produce the B parameter of each Bernoulli mapping;
Step 101-2) mapping of the Bernoulli under each B parameter subsequence is combined, obtain the combinatorial mapping sequence.
4. the production method of the chaotic fm radar signal based on combinatorial mapping according to claim 1 is characterized in that, described the first chaotic maps is the Tent mapping, and the second chaotic maps is the Bernoulli mapping.
5. generation system based on the chaotic fm radar signal of combinatorial mapping, described system comprises:
The combinatorial mapping generation module, for generation of the combinatorial mapping chaos sequence, described combinatorial mapping chaos sequence is: the first chaotic maps is shone upon as the father, produce the sub-mapping parameters of the second chaotic maps, and the subsequence combination of the second chaotic maps under each parameter is obtained the combinatorial mapping sequence;
Radar signal frequency modulation module is used for the combinatorial mapping sequence of combinatorial mapping generation module output is used for radar signal frequency modulation, obtains based on combinatorial mapping chaotic fm radar signal.
6. the generation system of the chaotic fm radar signal based on combinatorial mapping according to claim 5 is characterized in that, described the first chaotic maps is the Logistic mapping, and the second chaotic maps is the Bernoulli mapping.
7. the generation system of the chaotic fm radar signal based on combinatorial mapping according to claim 6 is characterized in that described combinatorial mapping generation module further comprises:
The first mapping submodule is used for shining upon as the father with the Logistic mapping, produces the B parameter of each Bernoulli mapping;
The combinatorial mapping submodule is used for the mapping of the Bernoulli under each B parameter subsequence is combined, and obtains the combinatorial mapping sequence.
8. the generation system of the chaotic fm radar signal based on combinatorial mapping according to claim 5 is characterized in that, described the first chaotic maps is the Tent mapping, and the second chaotic maps is the Bernoulli mapping.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103308891A (en) * | 2013-04-17 | 2013-09-18 | 中国科学院空间科学与应用研究中心 | Group delay modulation based ultra-low side lobe chaotic radar signal generation and achievement method |
| CN104090270A (en) * | 2014-07-22 | 2014-10-08 | 中国科学院空间科学与应用研究中心 | Signal generator used for generating chaos radar signals in real time |
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Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN100434931C (en) * | 2004-08-27 | 2008-11-19 | 中国科学院电子学研究所 | Method for using chaos frequency-modulated signal as pulse compression Radar signal source |
| CN101578799A (en) * | 2006-12-01 | 2009-11-11 | 欧洲Gnss监督管理局 | Chaotic spreading codes and their generation |
| CN102708534A (en) * | 2012-04-12 | 2012-10-03 | 江苏技术师范学院 | Generating method of variable-parameter multistage chaotic pseudorandom sequence |
-
2012
- 2012-11-26 CN CN201210488556.0A patent/CN103018717B/en not_active Expired - Fee Related
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN100434931C (en) * | 2004-08-27 | 2008-11-19 | 中国科学院电子学研究所 | Method for using chaos frequency-modulated signal as pulse compression Radar signal source |
| CN101578799A (en) * | 2006-12-01 | 2009-11-11 | 欧洲Gnss监督管理局 | Chaotic spreading codes and their generation |
| CN102708534A (en) * | 2012-04-12 | 2012-10-03 | 江苏技术师范学院 | Generating method of variable-parameter multistage chaotic pseudorandom sequence |
Non-Patent Citations (2)
| Title |
|---|
| ASHTARI. A等: "Radar Signal Design Using Chaotic Signals", 《WAVEFORM DIVERSITY AND DESIGN CONFERENCE, 2007. INTERNATIONAL》 * |
| 孙晓辉等: "基于组合混沌映射的伪随机数发生器", 《仪器仪表学报》 * |
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