Abstract
This chapter discusses the time frequency concepts. Time–frequency signal analysis and processing (TFSAP) deal with the analysis and processing of signals with time-varying frequency content. Such signals are best represented by a time–frequency distribution (TFD), which is intended to show how the energy of the signal is distributed over the two-dimensional time–frequency space. Processing of the signal exploits the features produced by the concentration of signal energy in two dimensions—time and frequency. The chapter describes how clear rationales are developed for justifying the need to use joint time–frequency representations for non-stationary signals such as frequency modulation (FM) signals. An understanding of the concept of instantaneous frequency and its dual time delay is necessary for the interpretation of TFDs. The use of the analytic associate of a given real signal, rather than the signal itself, is useful for reducing the required sampling rate, and essential for obtaining an unambiguous instantaneous frequency.
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