CN106908769A - A kind of multifunction radar detects Waveform generation method - Google Patents
A kind of multifunction radar detects Waveform generation method Download PDFInfo
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- CN106908769A CN106908769A CN201710305680.1A CN201710305680A CN106908769A CN 106908769 A CN106908769 A CN 106908769A CN 201710305680 A CN201710305680 A CN 201710305680A CN 106908769 A CN106908769 A CN 106908769A
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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
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Abstract
The present invention discloses a kind of multifunction radar detection Waveform generation method, comprises the following steps:Generation narrowband linear fm waveform;Carry out windowing process and obtain the narrowband linear fm waveform after windowing process;Generation white Gaussian noise;White Gaussian noise to generating carries out broadband band-pass filter treatment, generates colored Gaussian Gaussian noise;Colored Gaussian noise is modulated to the frequency of sine wave, generates broadband noise fm waveform;Processed through bandstop filter, obtain the broadband noise fm waveform of filtering process;The narrowband linear fm waveform and broadband noise fm waveform of windowing process are synthesized in time domain, generation multifunction radar detection waveform.The present invention can effectively improve the jamming performance of radar detection waveform by the random generation of centre frequency;The detection performance that multifunction radar detects waveform is improved by windowing process;Bandreject filtering treatment is carried out by the broadband noise fm waveform for generating, the multi-functional characteristic of radar detection waveform is effectively improved.
Description
Technical field
The invention belongs to technical field of radar communication, it is related to a kind of multifunction radar detection Waveform generation method.
Background technology
Current scholars have made preliminary research to multifunction radar detection waveform, wherein random bi-phase modulated is encoded
Waveform application is the most extensive, and research exists from phase when finding that random bi-phase modulated coding waveforms detect waveform as multifunction radar
Close the deficiencies such as secondary lobe is too high, degree of randomness is not high, Multifunctional effect is not obvious.Bi-phase modulated multifunction radar detection waveform
Design problem belongs to polynomial complexity uncertain problems, it is difficult to obtain globally optimal solution truly, can only pass through
Locally optimal solution obtains its global suboptimal solution.Because traditional random bi-phase modulated coding waveforms have, interference is poor, interference effect
Not substantially and the too high shortcoming of autocorrelation sidelobe, now by the narrowband linear fm waveform that working frequency range is separated and broadband
Noise FM waveform is synthesized in time domain, is separated on frequency domain, and then obtains a kind of radar of multifunctional all
Detection waveform, and it is easy to Project Realization.
The content of the invention
It is an object of the invention to provide a kind of multifunction radar detection Waveform generation method, traditional multi-functional thunder is solved
Up to detection waveform interference effect not substantially and the too high problem of autocorrelation sidelobe.
The purpose of the present invention can be achieved through the following technical solutions:
A kind of multifunction radar detects Waveform generation method, comprises the following steps:
S1, in the range of the working frequency range of multifunction radar detection waveform randomly choose initial frequency, generate narrowband linear
Fm waveform;
S2, windowing process is carried out to narrowband linear fm waveform using Hamming window, the narrowband linear for obtaining windowing process is adjusted
Frequency waveform;
S3, generation white Gaussian noise;
S4, the white Gaussian noise to generating carry out broadband band-pass filter treatment, generate colored Gaussian Gaussian noise;
S5, the frequency of sine wave is modulated using broadband colored Gaussian noise, generates broadband noise fm waveform;
S6, the broadband noise fm waveform to generating carry out bandstop filter treatment, obtain the broadband noise of filtering process
Fm waveform;
It is S7, the broadband noise fm waveform of the narrowband linear fm waveform of windowing process and filtering process is enterprising in time domain
Row synthesis, generation multifunction radar detection waveform.
Further, the Mathematical Modeling of narrowband linear fm waveform is in the step S1
Wherein, AtAmplitude, f for linear frequency modulated waveform0Centered on frequency,Fs is sample frequency, and k is chirp rate,
Further, the computing formula of Hamming window is in the step S2:
The narrowband linear fm waveform SthN () passes through the Chinese
Narrowband linear fm waveform S after bright window windowing processtN () is St(n)=Sth(n)·W(n·Fs+ 1), wherein, W represents Hamming
The window coefficient of window, Fs is sample frequency,
Further, the formula of generation white Gaussian noise is in the step S3
Wherein, mean is set
Average, var for setVariance,Sum (X) is represented to setAll of element is sued for peace,Equally distributed random change between to obey [0,1]
Amount.
Further, the broadband band-pass filter for being used in the step S4 is Butterworth filter, and its exponent number is 6,
Cut-off frequency coefficient is (f2-f1)/Fs, wherein, Fs is sample frequency.
Further, broadband noise fm waveform S is generated in the step S5jkN the formula of () is
Wherein, AjIt is the amplitude of noise FM waveform,
fjIt is the initial frequency of noise FM waveform, kjIt is chirp rate,
Further, the bandstop filter in the step S6 is Bart Ward wave filter, and passband frequency range isUpper cut-off frequency isPassband lower limit isRipple in passband<3dB, stopband<- 30dB,
Wherein, f0Centered on frequency, BtBandwidth.
Further, the formula of multifunction radar detection waveform S (n) for being generated in the step S7 is S (n)=St(n)+
Sj(n), wherein, StN () is by the narrowband linear fm waveform after Hamming windowing process, SjN () is working frequency range and narrowband line
Property fm waveform StN broadband noise fm waveform that () is separate.
Beneficial effects of the present invention:
Given birth at random by the center frequency point of the linear frequency modulated waveform to generating narrowband linear fm waveform in the present invention
Into, and detection waveform is hidden in interference waveform, improve the jamming performance of radar detection waveform;Adjusted by narrowband linear
Frequency waveform carries out Hamming windowing process so that the autocorrelation of multifunction radar detection waveform is greatly improved, Jin Erti
The detection performance that multifunction radar detects waveform is risen;By using Bart's Ward wave filter to generate broadband noise frequency-modulated wave
Shape carries out bandreject filtering treatment so that the working frequency of broadband noise fm waveform and the working frequency of narrowband linear fm waveform
It is separated, effectively improves the multi-functional characteristic of radar detection waveform.
Brief description of the drawings
Technical scheme in order to illustrate more clearly the embodiments of the present invention, uses required for being described to embodiment below
Accompanying drawing is briefly described, it should be apparent that, drawings in the following description are only some embodiments of the present invention, for ability
For the those of ordinary skill of domain, on the premise of not paying creative work, can also obtain other attached according to these accompanying drawings
Figure.
Fig. 1 multifunction radars detect waveform product process figure;
Fig. 2 is provided without the autocorrelation function graph of Hamming window windowing process;
Fig. 3 uses the autocorrelation function graph of Hamming window windowing process;
Fig. 4 multifunction radars detect waveform frequency spectrum;
Matched filter output when Fig. 5 is noiseless;
Matched filter output when Fig. 6 signal interference ratios are -5dB.
Specific embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete
Site preparation is described, it is clear that described embodiment is only a part of embodiment of the invention, rather than whole embodiments.It is based on
Embodiment in the present invention, it is all other that those of ordinary skill in the art are obtained under the premise of creative work is not made
Embodiment, belongs to the scope of protection of the invention.
The present invention detects Waveform generation method for a kind of multifunction radar, as shown in figure 1, comprising the following steps:
S1, the working frequency range [f that waveform is detected in multifunction radar1 f2] the interior center for randomly generating linear frequency modulated waveform is frequently
Point f0, secondly the bandwidth of operation of linear frequency modulated waveform, pulse width and sample frequency are set, according to center frequency point, band
Wide and sample frequency, narrowband linear fm waveform is generated according to the mode of positive frequency modulation;
Wherein, BtWith [f1 f2] relation be:
Bt/[f1 f2] < 0.1 (1)
Narrowband linear fm waveform Mathematical Modeling is:
In formula (2), AtIt is the amplitude of linear frequency modulated waveform, f0Centered on frequency,f0~U
[f1 f2] represent f0Obey [f1 f2] between be uniformly distributed, Fs is sample frequency, and k is chirp rate,
S2, windowing process is carried out to narrowband linear fm waveform using Hamming window, to improve narrowband linear fm waveform
Autocorrelation, increases main sidelobe magnitudes ratio, wherein, Hamming window computing formula is:
W represents the window coefficient of Hamming window in formula (3), and Fs is sample frequency,
Narrowband linear fm waveform SthN () by being after Hamming window windowing process:
St(n)=Sth(n)·W(n·Fs+1) (4)
S in formula (4)tN () is represented by the narrowband linear fm waveform S of Hamming windowing processt(n);
S3, the method for generation white Gaussian noise are:
N is produced from Gaussian noisezEqually distributed stochastic variable between individual obedience [0,1]
Order
Assuming that setAverage mean and variance var, then according to formula (6) can produce Gauss
White noise:
Wherein,Sum (X) is represented to setAll of element
Sued for peace;
S4, the white Gaussian noise for producing process generation colored Gaussian Gaussian noise through Butterworth filter, wherein, Bart
Butterworth wave filter is broadband band-pass filter, and its exponent number is 6, and cut-off frequency coefficient is (f2-f1)/Fs, Fs is sample frequency;
S5, using broadband colored Gaussian noise Gauss_color (n),To the frequency of sine wave
Rate is modulated, generation broadband noise fm waveform Sjk(n),
Wherein,
In formula (7), AjIt is the amplitude of noise FM waveform, fjIt is the initial frequency of noise FM waveform, kjFor frequency modulation is oblique
Rate,
S6, the broadband noise fm waveform S to generatingjkN () carries out bandreject filtering treatment, obtain working frequency range and narrowband line
Property fm waveform StN broadband noise fm waveform S that () is separatejN bandstop filter that (), wherein bandreject filtering are used is bar
Special Ward wave filter, free transmission range isUpper cut-off frequency isPassband lower limit isIt is logical
With interior ripple<3dB, stopband<- 30dB, wherein, f0Centered on frequency, BtBandwidth;
S7, by narrowband linear fm waveform St(n) and broadband noise fm waveform SjN () is synthesized in time domain, generation
Multifunction radar detects waveform S (n), and its Mathematical Modeling is as follows:
S (n)=St(n)+Sj(n) (8)
In formula (8)StN () is by the narrowband linear frequency-modulated wave after Hamming windowing process
Shape, SjN () is working frequency range and narrowband linear fm waveform StN broadband noise fm waveform that () is separate.
Below with pulse width as 5us, narrowband linear average frequency is 2MHz, and with a width of 4MHz, broadband noise is adjusted
Frequency waveform working frequency range is 5-200MHz, as a example by sample frequency is for the multifunction radar detection waveform of 1000MHz, analyzes its detection
Performance and jamming performance.
The detection performance that multifunction radar detects waveform is analyzed by autocorrelation performance, as shown in Figure 2,3, by linear
Fm waveform carries out non-windowing process and adding window contrast treatment, can be apparent from, and the main lobe after windowing process is higher by secondary lobe 15dB
Amplitude, by windowing process substantially increase multifunction radar detect waveform detection performance, as shown in figure 4, multi-functional thunder
Linear frequency modulated waveform frequency spectrum and noise FM waveform frequency spectrum up to detection waveform are kept completely separate on frequency domain, can effectively improve many work(
The gain of energy radar detection waveform Echo Processing.
Interference to multifunction radar detection waveform is analyzed, if disturbed waveform is 13 Barker code signals, son
Pulse width is 0.5us, and pulsewidth is 5us, and sample frequency is 100MHz, and carrier frequency is 30MHz;And have mesh at 13.5km
Mark, is configured to above-mentioned parameter, and respectively in the case of -5dB is taken without external disturbance and signal interference ratio, 13 Barker code signals are subject to
Multifunction radar detection waveform interference, the effect after echo waveform matched filtering is respectively Fig. 5, Fig. 6, it is seen then that without external disturbance
When, matched filtering output secondary lobe is relatively low, and main secondary lobe difference reaches 23dB or so;When signal interference ratio is -5dB, main secondary lobe is difficult to distinguish,
Interference effect is more apparent.
Given birth at random by the center frequency point of the linear frequency modulated waveform to generating narrowband linear fm waveform in the present invention
Into, and detection waveform is hidden in interference waveform, improve the jamming performance of radar detection waveform;Adjusted by narrowband linear
Frequency waveform carries out Hamming windowing process so that the autocorrelation of multifunction radar detection waveform is greatly improved, Jin Erti
The detection performance that multifunction radar detects waveform is risen;By using Bart's Ward wave filter to generate broadband noise frequency-modulated wave
Shape carries out bandreject filtering treatment so that the working frequency of broadband noise fm waveform and the working frequency of narrowband linear fm waveform
It is separated, effectively improves the multi-functional characteristic of radar detection waveform.
Above content is only to design example and explanation of the invention, affiliated those skilled in the art
Various modifications or supplement are made to described specific embodiment or is substituted using similar mode, without departing from invention
Design or surmount scope defined in the claims, protection scope of the present invention all should be belonged to.
Claims (8)
1. a kind of multifunction radar detects Waveform generation method, it is characterised in that comprise the following steps:
S1, in the range of the working frequency range of multifunction radar detection waveform randomly choose initial frequency, generate narrowband linear frequency modulation
Waveform;
S2, windowing process is carried out to narrowband linear fm waveform using Hamming window, obtain the narrowband linear frequency-modulated wave of windowing process
Shape;
S3, generation white Gaussian noise;
S4, the white Gaussian noise to generating carry out broadband band-pass filter treatment, generate colored Gaussian Gaussian noise;
S5, the frequency of sine wave is modulated using broadband colored Gaussian noise, generates broadband noise fm waveform;
S6, the broadband noise fm waveform to generating carry out bandstop filter treatment, obtain the tune of the broadband noise after filtering process
Frequency waveform;
S7, the broadband noise fm waveform after the narrowband linear fm waveform and filtering process of windowing process is carried out in time domain
Synthesis, generation multifunction radar detection waveform.
2. a kind of multifunction radar according to claim 1 detects Waveform generation method, it is characterised in that:The step S1
The Mathematical Modeling of middle narrowband linear fm waveform isWherein, AtIt is linear frequency modulated waveform
Amplitude, f0Centered on frequency,Fs is sample frequency, and k is chirp rate,
3. a kind of multifunction radar according to claim 1 detects Waveform generation method, it is characterised in that:The step S2
The computing formula of middle Hamming window is:The narrowband linear frequency-modulated wave
Shape SthN () is by the narrowband linear fm waveform S after Hamming window windowing processtN () is St(n)=Sth(n)·W(n·Fs+ 1),
Wherein, W represents the window coefficient of Hamming window, and Fs is sample frequency,
4. a kind of multifunction radar according to claim 1 detects Waveform generation method, it is characterised in that:In the step S3
Generate white Gaussian noise formula beWherein, mean is setAverage, var for setVariance,
Sum (X) is represented to setAll of element is sued for peace,Between to obey [0,1]
Equally distributed stochastic variable.
5. a kind of multifunction radar according to claim 1 detects Waveform generation method, it is characterised in that:The step S4
The middle broadband band-pass filter for using is Butterworth filter, and its exponent number is 6, and cut-off frequency coefficient is (f2-f1)/Fs, its
In, Fs is sample frequency.
6. a kind of multifunction radar according to claim 1 detects Waveform generation method, it is characterised in that:The step S5
Middle generation broadband noise fm waveform SjkN the formula of () is
Wherein, AjIt is the amplitude of noise FM waveform, fjIt is the initial frequency of noise FM waveform, kjIt is chirp rate,Gauss_color (n) is broadband colored Gaussian noise sequence,
7. a kind of multifunction radar according to claim 1 detects Waveform generation method, it is characterised in that:The step S6
In bandstop filter be Bart Ward wave filter, passband frequency range isUpper cut-off frequency isPassband lower limit isRipple in passband<3dB, stopband<- 30dB, wherein, f0Centered on frequency, BtBandwidth.
8. a kind of multifunction radar according to claim 1 detects Waveform generation method, it is characterised in that:The step S7
The formula of middle generation multifunction radar detection waveform S (n) is S (n)=St(n)+Sj(n), wherein, StN () is by Hamming adding window
Narrowband linear fm waveform after treatment, SjN () is working frequency range and narrowband linear fm waveform StN broadband noise that () is separate
Fm waveform.
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CN109873695A (en) * | 2017-12-05 | 2019-06-11 | 航天信息股份有限公司 | It is a kind of based on insect feeler emulation interference waveform insertion point determine method and device |
CN110031821A (en) * | 2019-03-25 | 2019-07-19 | 北京环视光技术有限公司 | A kind of vehicle-mounted avoidance laser radar waveform extracting method, laser radar and medium |
CN111693976A (en) * | 2020-06-08 | 2020-09-22 | 电子科技大学 | MIMO radar beam forming method based on residual error network |
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Cited By (7)
Publication number | Priority date | Publication date | Assignee | Title |
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CN109873695A (en) * | 2017-12-05 | 2019-06-11 | 航天信息股份有限公司 | It is a kind of based on insect feeler emulation interference waveform insertion point determine method and device |
CN109873695B (en) * | 2017-12-05 | 2022-05-06 | 航天信息股份有限公司 | Method and device for determining insertion point of interference waveform based on insect antenna simulation |
CN108427032A (en) * | 2018-01-29 | 2018-08-21 | 中国电子科技网络信息安全有限公司 | Inversion method when a kind of spectral decomposition method and frequency |
CN108427032B (en) * | 2018-01-29 | 2020-12-11 | 中国电子科技网络信息安全有限公司 | Frequency spectrum decomposition method and frequency-time inversion method |
CN110031821A (en) * | 2019-03-25 | 2019-07-19 | 北京环视光技术有限公司 | A kind of vehicle-mounted avoidance laser radar waveform extracting method, laser radar and medium |
CN110031821B (en) * | 2019-03-25 | 2020-11-17 | 白犀牛智达(北京)科技有限公司 | Vehicle-mounted obstacle avoidance laser radar waveform extraction method, laser radar and medium |
CN111693976A (en) * | 2020-06-08 | 2020-09-22 | 电子科技大学 | MIMO radar beam forming method based on residual error network |
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