Instantaneous frequency, instantaneous bandwidth and the analysis of multicomponent signals

The definitions of instantaneous frequency are reviewed in the context of signal theory, communication theory and discrete time implementations. The spread of a signal about its instantaneous frequency, or instantaneous bandwidth, is investigated for several common time-frequency distributions by simulations. The instantaneous frequency of a multicomponent signal is examined. Further investigation of the time-frequency representation of a multicomponent signal leads to an adaptive algorithm which may improve time-frequency resolution of multicomponent signals.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>