A Fast and Accurate Method for Parameter Estimation of Multi-Component LFM Signals

This letter presents a fast and accurate method for parameter estimation of multi-component linear frequency modulated (MC-LFM) signals. We first show that the auto-terms of signal in fractional auto-correlation (FrAc) domain are concentrated along lines passing through the origin with slopes equal to chirp rates. The connection between the FrAc and fractional Fourier transform (FrFT) is exploited to find the chirp rates. We then easily obtain central frequencies from the same FrFT coefficients which are used for the estimation of chirp rates. We finally propose our efficient algorithm to accelerate the precise estimate of the MC-LFM signal parameters. Simulation results validate performance of the approach.