DocumentCode
1991903
Title
Wavelets: a general overview
Author
Auslander, L.
Author_Institution
Defense Adv. Res. Projects Agency, Arlington, VA, USA
fYear
1989
fDate
6-8 Sep 1989
Firstpage
97
Abstract
Summary form only given, as follows. The Heisenberg group and its representation theory plays an important role in the theory of Gabor expansions, ambiguity functions and Wigner distributions and wavelets built from translations in time and frequency. A multiplicative Heisenberg group whose representation theory can be used to study affine group wavelets and wideband ambiguity functions is defined. The standard Zac transform can be interpreted as an intertwining operator between two unitary representations of the Heisenberg group. A multiplicative Zac transform that plays an analogous role for the multiplicative Heisenberg group is constructed
Keywords
functional equations; group theory; signal processing; transforms; wave equations; Gabor expansions; Wigner distributions; frequency; multiplicative Heisenberg group; multiplicative Zac transform; representation theory; time; translations; wavelets; wideband ambiguity functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Multidimensional Signal Processing Workshop, 1989., Sixth
Conference_Location
Pacific Grove, CA
Type
conf
DOI
10.1109/MDSP.1989.97050
Filename
97050
Link To Document