The invention discloses a nonlinear
frequency modulation pulse
train waveform design method based on
frequency spectrum modulation agility, which can generate different NLFM waveforms by using a
stationary phase principle based on a
frequency spectrum structure of an LFM
signal, and can effectively suppress the problems of range
ambiguity, interference and
clutter folding. The method comprises the following steps: determining a pulse width T, a bandwidth B, a pulse repetition interval Tr and a
pulse number N of a waveform to be designed, generating linear
frequency modulation signals with the same bandwidth and pulse width, and obtaining a power
spectral density function L(f) of the linear
frequency modulation signals; reserving the out-of-
band shape of the L(f), modulating the amplitude of the in-band power
spectral density function of the L(f) through a random
sinusoidal modulation method, and designing an NLFM waveform power
spectral density function NL (f); calculating a group
delay function Tg(f) of the NLFM
signal based on the NL(f); and determining the instantaneous frequency f(t) of the
signal according to the group
delay function Tg(f): conducting integration on the instantaneous frequency f(t) to obtain a
phase function of the signal, and obtaining a
time domain expression of the designed NLFM waveform according to the
phase function.