The Detection and Parameter Estimation for Multi- component Chirp Signals Based on the Fractional Fourier Transforms

The fractional Fourier transform is a generalization of the Fourier transform. In this paper,taking advantage of non-stationary feature of linear Chirp signal in the fractional Fourier transforms domain, the methods of detection and parameter estimation for noised multi-component Chirp nonstationary signals based on fractional Fourier transforms are proposed. Theoretic analysis and simulation results show that not only the meaning of this method is clear, but also its computation is simple, and it has no interference as well. It is good at reducing noise comparing with those in time domain or in frequency domain or in joint time-frequency domain.