Wavelet transforms and signal ambiguity functions

Arjuna Peter Chaiyasena, Leon H. Sibul, Augustin Banyaga, Mark L. Fowler

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Abstract

Classical results from group representation theory are used to gain insight into important properties of narrowband and wideband ambiguity functions and wavelet transforms. Wideband ambiguity functions are essentially affine wavelet transforms and narrowband ambiguity functions can be considered to be Heisenberg wavelet transforms. Important invariance properties of the ambiguity functions are consequences of the group representation theory. Examples are presented of derivations of wideband ambiguity function properties.

Original languageEnglish (US)
Pages (from-to)1084-1089
Number of pages6
JournalConference Record - Asilomar Conference on Circuits, Systems & Computers
Volume2
Publication statusPublished - 1991

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All Science Journal Classification (ASJC) codes

  • Engineering(all)

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