Time-Frequency Filtering for LFM Based on Time S-Transform and Time Inverse S-Transform

Abstract

The Linear Frequency Modulation (LFM) signal is a classical non-stationary random signal. And the processing method to LFM must expand from frequency domain to time-frequency domain. The S transform (ST) is a time-frequency analysis method which has an adaptive window, and the width changes with frequency. The classical ST algorithm is Time S-transform, and the corresponding inverse ST (IST) is Time IST. In this paper, the Time ST and Time IST algorithms are applied to the filtering of LFM. Simulation results show us that the method is effective to the LFM filtering.