An iterative method for instantaneous frequency estimation

Abstract

In this paper, we propose an iterative method to estimate the instantaneous frequency of a signal based on the discrete evolutionary transform (DET). The DET provides a representation for nonstationary signals and a time-frequency kernel that permits us to obtain the time-dependent spectrum of the signal. We will show the instantaneous phase and the corresponding instantaneous frequency (IF) can also be computed from the evolutionary kernel. Estimation of IF is of general interest in time-frequency analysis. Implementation of the IF estimation is done by masking and a recursive nonlinear correction procedure. The proposed estimation is valid for monocomponent as well as multicomponent signals. The estimation procedure is illustrated by means of examples.