Real-Time Procedure for Development of an Optimal Time-Frequency Filter Suitable for Non-Linear Highly Nonstationary FM Signals Estimation

Abstract

Estimation of nonstationary one-dimensional and two-dimensional signals represents very challenging problem that has efficiently been solved by using time-frequency and space/spatial-frequency analysis tools, respectively. However, these solutions provide high quality results only in the cases of linear frequency modulated (FM) signals. To this end, regions of support of the developed solutions correspond to the instantaneous frequency (IF) of the estimated signals, whereas the filtering problem is reduced to the IF estimation. Contrarily, non-linear signals occupy certain ranges of frequencies in a time instant, so that the IF estimation-based solutions cannon produce high quality results in this case. Therefore, in this paper the time-frequency filtering solution suitable for the non-linear FM signal estimation is considered.