Resolution Ability of Fractional Fourier Transform in Multi-component LFM Signal Chirp-rate

摘要

Detecting and estimating multi-component LFM signal based on fractional Fourier transform (FrFT) becomes a hot field in recent years. In most situations, it will come across multicomponent LFM signal with similarly parameters in signal processing. This means illegibility occurs in time-frequency analysis and there is a problem about resolution ability. During to this problem, when Multi-component LFM signal has only one center frequency, the expression of resolution ability in chirprate based on FrFT is deduced. What's more, the influence of the sampling time, sampling frequency and chirp-rate upon the resolution ability is analyzed and simulated. Finally, simulation results and analysis indicate that the resolution ability is mainly dependent on the biggest value of chirp-rate, and has the positive exponential relationship about with chirp-rate.