Filtering real signals through frequency modulation and peak detection in the time-frequency plane

Abstract

A novel technique for filtering a real signal is presented. The method is based upon encoding the signal as an instantaneous frequency (IF) and using IF analysis techniques to recover a filtered version of it. A general iterative time-frequency peak filtering (TFPF) scheme based on this method is formulated. Simulations are given which show extremely clean recovery of signals in noise levels down to -9 dB. Applications to estimating the polynomial phase coefficients of nonstationary signals and differentiating noisy signals are presented.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>