Adaptive Fourier Decomposition Based Time-Frequency Analysis

The attempt to represent a signal simultaneously in time and frequency domains is full of challenges.The recently proposed adaptive Fourier decomposition(AFD)offers a practical approach to solve this problem.This paper presents the principles of the AFD based time-frequency analysis in three aspects:instantaneous frequency analysis,frequency spectrum analysis,and the spectrogram analysis.An experiment is conducted and compared with the Fourier transform in convergence rate and short-time Fourier transform in time-frequency distribution.The proposed approach performs better than both the Fourier transform and short-time Fourier transform.