NFLM signal optimization method and device based on augmented Lagrangian genetic algorithm
A genetic algorithm and signal technology, applied in the field of nonlinear frequency modulation signal optimization method and device, can solve the problems of main lobe width restriction, waste of computing resources and time, reduction of side lobe broadening of main lobe, etc.
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Embodiment 1
[0035] Embodiment 1 of the present invention provides an NLFM signal optimization method based on the augmented Lagrangian genetic algorithm, such as figure 1 As shown, the method includes:
[0036] S101, establishing a time-domain function of the NLFM signal based on the Bezier curve;
[0037] In one embodiment, the time-domain function of establishing the NLFM signal based on the Bezier curve includes: establishing the time-frequency relationship of the NLFM signal based on the Bezier curve, and determining the phase function of the NLFM signal according to the time-frequency relationship of the NLFM signal , determining the time-domain function of the NLFM signal according to the phase function of the NLFM signal.
[0038] In one embodiment, the time-frequency relationship of the NLFM signal is established based on the Bezier curve, the phase function of the NLFM signal is determined according to the time-frequency relationship of the NLFM signal, and the NLFM signal is de...
Embodiment 2
[0120] In the embodiment of the present invention, the NLFM signal optimization method based on the augmented Lagrangian genetic algorithm provided in the first embodiment of the present invention is further described, as follows figure 2 As shown, the method includes:
[0121] S201. Using the Bezier curve to describe the time-frequency relationship of the NLFM signal, solving the phase function of the NLFM signal, and then defining the signal time domain function;
[0122] In the Cartesian coordinate system, the time-frequency relationship coordinates of the NLFM signal are defined as (t, f). Suppose the pulse width of the signal is T r , the signal bandwidth is B r , the sampling frequency is f s , then the signal time interval vector is Given n+1 control points in the time-frequency coordinate relationship plane, it is defined as P={(x i ,y i )|i=0,1...,n}, using the Bezier curve to describe the time-frequency relationship of the NLFM signal can be described as:
...
Embodiment 3
[0176] In the embodiment of the present invention, the NLFM signal obtained by the NLFM signal optimization method based on the augmented Lagrangian genetic algorithm provided by the embodiment of the present invention is described in conjunction with the design parameters of the large duration signal commonly used in the specific synthetic aperture radar system.
[0177] Design parameters for large time-width signals include:
[0178] The pulse width is 10us, the bandwidth is 100MHz, and the sampling frequency is 130MHz, wherein, the initialization NLFM signal is generated according to equations (1)-(9) and (15).
[0179]Based on the above-mentioned design parameters, the design includes LFM waveform, Taylor window design waveform, optimized waveform 1 and optimized waveform 2, wherein the optimized waveform 1 and optimized waveform 2 are based on the augmented Lagrangian genetic algorithm provided according to the embodiment of the present invention For the NFLM signal gener...
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