Time frequency signal analysis: Past, present and future trends

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Time frequency signal analysis: Past, present and future trends

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Title: Time frequency signal analysis: Past, present and future trends
Author: Boashash, B
Abstract: This chapter is written to provide both an historical review of past work and an overview of recent advances in time-frequency signal analysis (TFSA). It is aimed at complementing the texts which appeared recently in [1], [2], [3] and [4]. The chapter is organised as follows. Section 1 discusses the need for time-frequency signal analysis, as opposed to either time or frequency analysis. Section 2 traces the early theoretical foundations of TFSA, which were laid prior to 1980. Section 3 covers the many faceted developments which occurred in TFSA in the 1980's and early 1990's. It covers bilinear or energetic time-frequency distributions (TFDs). Section 4 deals with a generalisation of bilinear TFDs to multilinear Polynomial TFDs. Section 5 provides a coverage of the Wigner- Ville trispectrum, which is a particular polynomial TFD, used for analysing Gaussian random amplitude modulated processes. In Section 6, some issues related to multicomponent signals and time-varying polyspectra are addressed. Section 7 is devoted to conclusions. 1.1
Description: This chapter includes a tutorial review of important issues in time-frequency analysis, and an overview of multi-linear representations.. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated).
URI: http://hdl.handle.net/10576/10816
Date: 1996

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