New Time-Frequency Distributions For The Analysis Of Multicomponent Signals

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Abstract
A new conceptualization of time-frequency (t-f) energy distributions is discussed in this paper. Many new t-f distributions with desirable properties may now be designed with relative ease by approaching the problem in terms of the ambiguity plane representation of the kernel. Careful attention to the design principles yields kernels which result in high resolution t-f distributions with a considerable reduction of the sometimes troublesome cross terms observed when using other distributions such as the Wigner Distribution (WD). When these new t-f distributions are applied to some common signals, fascinating new details emerge. Examples are provided for two acoustic transients: joint clicking and marine mammal sounds.

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