Waveform design is an important topic in the field of signal processing,and the reduction of sidelobes is the research focus of radar waveform design.Generally,the design method of NLFM(non-linear frequency modula-tion)signal is based on the principle of stationary phase with the window function,but the side lobes of the signal designed by this method still have pronounced height.In order to reduce the sidelobes,the phase function of low sidelobe NLFM signals was summarized by comparing the phase functions generated by different window functions,and then a method which was based on constructingthe phase function was proposed for the design of low sidelobes NLFM signals,so that the phase function had an explicit expression,which got rid of the complex calculation for-mula,large fitting error and high sidelobes limitations caused by relying on the generation of the window function for the traditional NLFM signals.Finally,the mainlobe peak to sidelobe peak ratio and tolerance to the Doppler effect were analyzed by simulation in comparison with those of several improved NLFM signal design methods.The simu-lation results showed that the NLFM signal which was designed by this method can achieve a mainlobe peak to side-lobe peak ratio below-60 dB without loss of SNR,and exhibited good tolerance to the Doppler effect.
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