Reconstruction of Multi-component Signals Based on the Analogous Fourier Transform
类傅里叶变换的多分量信号分离重构

A novel method of analogous Fourier transform is proposed for reconstruction of multi-component signals, and the behaviors of this method are investigated. This method transforms multi-component signals, which are aliasing in frequency domain but not overlapping in time-frequency spectrogram, into analogous Fourier frequency domain where no aliasing appears. Compared with the method of optimal filtering in fractional Fourier domain, this method has better applicability. Simulation results show that this method can produce reliable reconstruction signals. This method has a variety of applications in the aspect of signal detection and analysis.