A New Method for Non-stationary Signal Analysis using Eigenvalue Decomposition of the Hankel Matrix and Hilbert Transform

摘要

Non-stationary signal analysis is an essential part for many engineering fields. Time-frequency analysis methods are commonly used methods for analysis of non-stationary signals. In this paper, a new domain for time-frequency analysis has been proposed which has been studied for the analysis of non-stationary signals. The proposed method combines two techniques namely, iterative eigenvalue decomposition of the Hankel matrix (IEVD-HM) and the Hilbert transform (HT). The IEVD-HM technique provides a set of mono-component signals where the HT has been employed to determine amplitude envelopes and instantaneous frequencies of these monocomponent signals. These amplitude envelope and instantaneous frequency estimations have been used to determine the time-frequency representation. The obtained time-frequency representation has been studied for the analysis of synthetic nonstationary signals in order to show the effectiveness of the proposed method.