CN110412522A - A kind of NLFM waveform design method - Google Patents
A kind of NLFM waveform design method Download PDFInfo
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- CN110412522A CN110412522A CN201910587687.6A CN201910587687A CN110412522A CN 110412522 A CN110412522 A CN 110412522A CN 201910587687 A CN201910587687 A CN 201910587687A CN 110412522 A CN110412522 A CN 110412522A
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- frequency modulation
- nonlinear frequency
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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
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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
- G01S7/40—Means for monitoring or calibrating
- G01S7/4004—Means for monitoring or calibrating of parts of a radar system
- G01S7/4008—Means for monitoring or calibrating of parts of a radar system of transmitters
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
Abstract
The invention discloses a kind of NLFM waveform design methods, comprising the following steps: S1: inputting the underlying parameter of NLFM waveform to be designed, determines and analyze parameter needed for relevant parameter and Waveform Design in Waveform Design；S2: according to the underlying parameter and relevant parameter, initial FM Function is obtained；S3: adjustment relevant parameter obtains the nonlinear frequency modulation function under parameter current；S4: obtaining FM signal according to nonlinear frequency modulation function, while seeking correlation function, obtains minor lobe and inhibits ratio；S5: repeating step S3-S4, and records minor lobe and inhibit ratio；S6: inhibiting ratio by comparative analysis minor lobe, determine optimal parameter, while obtaining optimum waveform design.For the present invention by using empirical formula method, Project Realization is convenient, can effectively reduce matched filtering minor lobe, and be easier to obtain the optimal parameter of nonlinear frequency modulation Waveform Design.
Description
Technical field
The invention belongs to waveform design method technical fields, and in particular to a kind of NLFM waveform design method.
Background technique
When transmitted waveform is linear FM signal, to reduce matched filtering minor lobe, the mode of adding window mismatch is generally taken, but
It is that such mode can broaden main lobe while reducing minor lobe, leads to matched filtering output signal energy loss.Nonlinear frequency modulation
Signal is that the frequency of signal does nonlinear change at any time, its most prominent advantage is when being compressed with matched filter, can
It is handled with obtaining lower secondary lobe without weighting, thus avoids the snr loss caused by weighting.Nonlinear frequency modulation wave
Frequently with window function metht, window function metht design is simple for shape design, but when FPGA is realized, to occupy storage resource more, therefore according to being
Parameter of uniting is using empirical formula method regulation coefficient come so that system performance is best.
Summary of the invention
In order to facilitate regulation coefficient, the optimization of system performance is realized, the invention discloses a kind of Waveform Design sides NLFM
Method.
In order to realize above-mentioned technical effect, the present invention is achieved by the following scheme.
A kind of NLFM waveform design method, comprising the following steps:
S1: inputting the underlying parameter of NLFM waveform to be designed, determines relevant parameter and Waveform Design in Waveform Design
Needed for analyze parameter；
S2: according to the underlying parameter and relevant parameter, initial FM Function is obtained；
S3: adjustment relevant parameter obtains the nonlinear frequency modulation function under parameter current；
S4: obtaining FM signal according to nonlinear frequency modulation function, while seeking correlation function, obtains minor lobe and inhibits ratio；
S5: repeating step S3-S4, and records minor lobe and inhibit ratio；
S6: inhibiting ratio by comparative analysis minor lobe, determine optimal parameter, while obtaining optimum waveform design.
As a further improvement of the present invention, the underlying parameter in the step S1 includes system broad B, pulse width T,
The analysis parameter is sample rate f s and signal sampling points L, the signal sampling points L=fs*T.
Specifically, B and T is relevant parameter on nonlinear frequency modulation function, and fs and L is required parameter when analyzing.
As a further improvement of the present invention, relevant parameter is C1 and C2 in the step S1, wherein C1 is for controlling
Minor lobe size, C2 is for controlling nonlinear frequency modulation main lobe width.
In General System, it is desirable that minor lobe is the smaller the better, and it is more narrower better that main lobe requires, but the two can not obtain simultaneously moral
Austria, and minor lobe influences maximum, it is therefore necessary to guarantee in the case where meeting minor lobe requirement, so that main lobe is narrow as far as possible.
As a further improvement of the present invention, the step S4 specifically:
S41: adjustment relevant parameter obtains the nonlinear frequency modulation function under parameter current；
S42: the phase of the NLFM signal is acquired according to above-mentioned nonlinear frequency modulation function；
S43: according to above-mentioned phase, the corresponding NLFM signal of parameter current is acquired；
S43: auto-correlation function is sought according to NLFM signal；
S45: the maximum minor lobe size and main lobe signal energy in auto-correlation function are searched, and minor lobe is sought according to it and is inhibited
Than.
As a further improvement of the present invention, the step S41 specifically: adjustment relevant parameter, when relevant parameter meets
It is required that when, temporary variable is set, and carries it into temporary variable to get the nonlinear frequency modulation function under parameter current.
As a further improvement of the present invention, the temporary variable is D1, D2 and D3, it may be assumed that
D1=C2*t*180/(T*π) (1)
D2=tan (C2) (2)
Bring C1 and C2 into formula (1)-formula (3) to obtain the final product:
In above-mentioned formula, f indicates nonlinear frequency modulation function.
As a further improvement of the present invention, in the step S42, phase fai is specially formula (5):
Fai=2* π ∫ fdt (5).
As a further improvement of the present invention, in the step S43, the NLFM signal sig are as follows:
Sig (t)=exp (j*fai) (6).
As a further improvement of the present invention, in the step S44, the auto-correlation function CONV are as follows:
CONV=∫ sig (t) * sig*(-t)dt (7)。
The beneficial effects of the present invention are:
In the present invention, by using empirical formula method, Project Realization is convenient, can effectively reduce matched filtering minor lobe, and more
It is easy to get the optimal parameter of nonlinear frequency modulation Waveform Design.
Detailed description of the invention
Fig. 1 is the corresponding minor lobe pressing result figure of different parameters value；
Fig. 2 is the pulse pressure result figure of modelled signal in the embodiment of the present invention 2；
Fig. 3 is the minor lobe statistical chart in the embodiment of the present invention 2；
Fig. 4 is the C in the embodiment of the present invention 21=D12, C2The effect picture of=D13；
Fig. 5 is C in the embodiment of the present invention 21=D14, C2The effect picture of=D15；
Fig. 6 is the frequency modulation curve graph in the embodiment of the present invention 2；
Fig. 7 is the phase curve figure in the embodiment of the present invention 2.
Specific embodiment
In order to be easy to understand the technical means, the creative features, the aims and the efficiencies achieved by the present invention, tie below
Specific embodiment is closed, the present invention is further explained.
A kind of NLFM waveform design method, comprising the following steps:
S1: the underlying parameter of NLFM waveform to be designed is inputted, determines the relevant parameter in Waveform Design；
S2: according to the underlying parameter and relevant parameter, initial time-frequency curve is determined；
S3: adjustment relevant parameter obtains the nonlinear frequency modulation function under parameter current；
S4: obtaining FM signal according to nonlinear frequency modulation function, while seeking correlation function, obtains minor lobe and inhibits ratio；
S5: repeating step S3-S4, and records minor lobe and inhibit ratio；
S6: inhibiting ratio by comparative analysis minor lobe, determine optimal parameter, while obtaining optimum waveform design.
As a further improvement of the present invention, the underlying parameter in the step S1 include system broad B, pulse width T,
Sample rate f s and signal sampling points L=fs*T.
As a further improvement of the present invention, relevant parameter is C1 and C2 in the step S1, wherein C1 is for controlling
Minor lobe size, C2 is for controlling nonlinear frequency modulation main lobe width.
As a further improvement of the present invention, in the step S3, relevant parameter is adjusted, is obtained non-thread under parameter current
Property FM Function specifically: first adjust C1, after meeting the requirements, adjust C2, make it while meeting the requirements,
Specifically: if CI is unsatisfactory for requiring, and is directly entered step S6.
If C2 is unsatisfactory for requiring, it is back in adjustment C1 step.
As a further improvement of the present invention, the step S4 specifically:
S41: adjustment relevant parameter obtains the nonlinear frequency modulation function under parameter current；
S42: the phase of the NLFM signal is acquired according to above-mentioned nonlinear frequency modulation function；
S43: according to above-mentioned phase, the corresponding NLFM signal of parameter current is acquired；
S43: auto-correlation function is sought according to NLFM signal；
S45: the maximum minor lobe size and main lobe signal energy in auto-correlation function are searched, and minor lobe is sought according to it and is inhibited
Than.
S45 specifically: structure maximum value is main valved signal energy zbmax, then looks for first local minimum points position
Wz1, the wz1 are the main lobe width of corresponding parameter, the maximum value of remaining autocorrelation result are begun looking for by the wz1, as most
Big minor lobe size fbmax.Minor lobe inhibition, which is sought, according to maximum minor lobe size and main lobe signal energy compares fbyzb=fbmax/
zbmax；It records the corresponding minor lobe of the C1 and C2 parameter and inhibits ratio.
As a further improvement of the present invention, the step S41 specifically: adjustment relevant parameter, when relevant parameter meets
It is required that when, temporary variable is set, and carries it into temporary variable to get the nonlinear frequency modulation function under parameter current.
Specifically, the temporary variable is D1, D2 and D3, it may be assumed that
D1=C2*t*180/(T*π) (1)
D2=tan (C2) (2)
Bring C1 and C2 into formula (1)-formula (3) to obtain the final product:
In above-mentioned formula, f is indicated.
As a further improvement of the present invention, in the step S42, phase fai is specially formula (5):
Fai=2* π ∫ fdt (5).
As a further improvement of the present invention, in the step S43, the NLFM signal sig are as follows:
Sig (t)=exp (j*fai) (6).
As a further improvement of the present invention, in the step S44, the auto-correlation function CONV are as follows:
CONV=∫ sig (t) * sig*(-t)dt (7)。
Embodiment 1
In the present embodiment, FM Function is first calculated according to parameter C1 and C2, is then obtained according to FM Function non-thread
Property FM signal phase, designed NLFM signal is determined with this, is obtained finally by analysis design non-linear
The performances such as the Sidelobe Suppression ratio of the auto-correlation function of FM signal, so that it is determined that required parameter C1 and C2, is to induction signal
For required NLFM signal.The specific implementation steps are as follows:
Step 1: C1, C2 initial value C1_csz and C2_csz is respectively set, step value C1_bjz and C2_bjz (can be according to meter
Calculation amount requires to be configured) and variation range (C1 steps to D2 from D1, and C2 steps to D4 from D3)；
In the present embodiment, initial value C1_csz and initial value C2_csz are generally set by experience, generally
Integer greater than 0；And when step value C1_bjz and C2_bjz selection, if excessive, operand is although small, but obtained ginseng
Number accuracy；If step value is too small, it will lead to operand increase and become larger, therefore two variations are 1 to step to from D1
D2, C2 step to D4 from D3.And D1-D4 remains as the numerical value being rule of thumb arranged, typically greater than 0 positive number, upper limit value and
Lower limit value is excessive or too small, all not any meaning of obtained result, and for Waveform Design, nonsensical.
Step 2: update C1 is C1_csz+C1_bjz, and sets C2_csz for C2, is entered step if C1 is less than D2
3,10 are otherwise entered step,
Step 3: update C2 is C2_csz+C2_bjz, enters step 4 if C2 is less than D4, otherwise return step 2.
In the present embodiment, D4 is the maximum value of C2 variable range, may then change C1 greater than D4, continue cycling through, until C1
Until exceeding variable range with C2, then according to analysis record as a result, statistics optimal parameter.
C1 and C2 value is substituted into the N1~N3 temporary variable of formula (1) into formula (3) by step 4；
Temporary variable is D1, D2 and D3, it may be assumed that
D1=C2*t*180/(T*π) (1)
D2=tan (C2) (2)
Step 5: temporary variable N1~N3 in step 4 is substituted into (1-3) respectively to get under current C1 and C2 parameter
Nonlinear frequency modulation function；
Step 6: the phase fai of the NLFM signal is sought according to the nonlinear frequency modulation function in step 5, i.e.,
Fai=2* π ∫ fdt
Step 7: the corresponding NLFM signal sig of parameter current C1 and C2 can be obtained by the phase information in step 6
Are as follows:
Sig (t)=exp (j*fai)
Step 8: seek the auto-correlation function CONV of NLFM signal:
CONV=∫ sig (t) * sig*(-t)dt
Step 9: seeking minor lobe and inhibit ratio.
Lookup autocorrelation result maximum value is main valved signal energy zbmax, then looks for first local minimum points position
Wz1, the wz1 are the main lobe width of corresponding parameter, the maximum value of remaining autocorrelation result are begun looking for by the wz1, as most
Big minor lobe size fbmax.Minor lobe inhibition, which is sought, according to maximum minor lobe size and main lobe signal energy compares fbyzb=fbmax/
zbmax；It records the corresponding minor lobe of the C1 and C2 parameter and inhibits ratio, and return step 2；
In this step, it is to look for step, is the performance for analyzing parameter current, record minor lobe inhibition when corresponds to parameter,
Inhibition be can recorde than a kind of corresponding relationship with C1 and C2 parameter, be a kind of analysis means.
Step 10: inhibit ratio to analyze recorded minor lobe, seeks maximum value and corresponding C1 and C2 parameter, it is resulting
C1 and C2 parameter be required optimal parameter.
Embodiment 2
To be illustrated for certain system requirements bandwidth 20M, pulsewidth 1us；
D1~D15 of the present invention is rule of thumb and theory calculates obtained fixed constant value, takes C1For D1~D2, C2For
The Sidelobe Suppression effect of D3~D4, the lower designed waveform of different parameters setting are as shown in Figure 1.Fig. 2 is the present invention in the present embodiment
The pulse pressure result of designed signal.
By can be seen that in figure, C1And C2Optimum value is D5 and D6~D7, and specifically, the result after pulse pressure is as shown in Fig. 2, can
See that main lobe is wider, Sidelobe Suppression effect is preferable.Parameters variation step-length is further refined, i.e., respectively by C1And C2Take D8~D9
With D10~D11, minor lobe statistical result is as shown in Figure 3, it can be seen that, minor lobe optimal inhibition is and right at C1=D12 and C2=D13
The pulse pressure result answered is as shown in figure 4, Sidelobe Suppression effect is best, but main lobe is wider；And in C1=D14 and C2Pulse pressure knot at=D15
Fruit minor lobe as shown in Figure 5 inhibits relatively high, and main lobe has obvious improvement.Comprehensively consider, is meeting system index situation
Under, using C1 and C2 value D14 and D15, frequency modulation curve and the phase curve difference of designed waveform are as shown in Figure 6 and Figure 7, can
To find out the corresponding FM Function of optimal parameter and phase.
In the present invention, by using empirical formula method, Project Realization is convenient, and can by according to current system parameter,
The nonlinear frequency modulation function that design is wanted, and can be with the main lobe parameter for seeing designed waveform under different parameters of simple, intuitive
And minor lobe inhibits the performances such as ratio, it, can be easily quick in main lobe width according to system requirements by changing parameter step value
Than between compromise with inhibition, obtains the optimal parameter of nonlinear frequency modulation Waveform Design.
The above shows and describes the basic principles and main features of the present invention and the advantages of the present invention.The technology of the industry
Personnel are it should be appreciated that the present invention is not limited to the above embodiments, and the above embodiments and description only describe this
The principle of invention, without departing from the spirit and scope of the present invention, various changes and improvements may be made to the invention, these changes
Change and improvement all fall within the protetion scope of the claimed invention.The claimed scope of the invention by appended claims and its
Equivalent thereof.
Claims (9)
1. a kind of NLFM waveform design method, which comprises the following steps:
S1: inputting the underlying parameter of NLFM waveform to be designed, determines institute in relevant parameter and the Waveform Design in Waveform Design
The analysis parameter needed；
S2: according to the underlying parameter and relevant parameter, initial FM Function is obtained；
S3: adjustment relevant parameter obtains the nonlinear frequency modulation function under parameter current；
S4: obtaining FM signal according to nonlinear frequency modulation function, while seeking correlation function, obtains minor lobe and inhibits ratio；
S5: repeating step S3-S4, and records minor lobe and inhibit ratio；
S6: inhibiting ratio by comparative analysis minor lobe, determine optimal parameter, while obtaining optimum waveform design.
2. a kind of NLFM waveform design method according to claim 1, which is characterized in that the basis ginseng in the step S1
Number includes system broad B, pulse width T, and the analysis parameter is sample rate f s and signal sampling points L, the signal are adopted
Number of samples L=fs*T.
3. a kind of NLFM waveform design method according to claim 1, which is characterized in that relevant parameter in the step S1
For C1 and C2, wherein C1 is for controlling minor lobe size, and C2 is for controlling nonlinear frequency modulation main lobe width.
4. a kind of NLFM waveform design method according to claim 3, which is characterized in that the step S4 specifically:
S41: adjustment relevant parameter obtains the nonlinear frequency modulation function under parameter current；
S42: the phase of the NLFM signal is acquired according to above-mentioned nonlinear frequency modulation function；
S43: according to above-mentioned phase, the corresponding NLFM signal of parameter current is acquired；
S43: auto-correlation function is sought according to NLFM signal；
S45: the maximum minor lobe size and main lobe signal energy in auto-correlation function are searched, and minor lobe is sought according to it and inhibits ratio.
5. a kind of NLFM waveform design method according to claim 4, which is characterized in that the step S41 specifically: adjust
Temporary variable is arranged when relevant parameter is met the requirements in whole relevant parameter, and carries it into temporary variable to get current ginseng
Nonlinear frequency modulation function under several.
6. a kind of NLFM waveform design method according to claim 5, which is characterized in that the temporary variable is D1, D2
And D3, it may be assumed that
D1=C2*t*180/(T*π) (1)
D2=tan (C2) (2)
Bring C1 and C2 into formula (1)-formula (3) to obtain the final product:
In above-mentioned formula, f indicates nonlinear frequency modulation function.
7. a kind of NLFM waveform design method according to claim 6, which is characterized in that in the step S42, phase
Fai is specially formula (5):
Fai=2* π ∫ fdt (5).
8. a kind of NLFM waveform design method according to claim 6, which is characterized in that described non-in the step S43
Linear FM signal sig are as follows:
Sig (t)=exp (j*fai) (6).
9. a kind of NLFM waveform design method according to claim 8, which is characterized in that in the step S44, it is described from
Correlation function CONV are as follows:
CONV=∫ sig (t) * sig*(-t)dt (7)。
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