DocumentCode
1993166
Title
A multiplicative Zac transform
Author
Tolimieri, R.
Author_Institution
Center for Large Scale Comput., City Univ. of New York, NY, USA
fYear
1989
fDate
6-8 Sep 1989
Firstpage
109
Abstract
Summary form only given. A multiplicative Zac transform that plays the same role in analyzing affine group wavelets as the standard Zac transform plays in Heisenberg-Weyl wavelet theory has been defined in frequency space for causal signals. This construction is based on dilated complex exponentials that are eigenvectors of a sequence of dilation operators. Algorithms, based on the finite Fourier transform have been designed for analysis and synthesis of signals passing through the multiplicative Zac transform
Keywords
signal processing; signal synthesis; transforms; wave equations; Heisenberg-Weyl wavelet theory; affine group wavelets; causal signals; dilated complex exponentials; dilation operators; eigenvectors; finite Fourier transform; frequency space; multiplicative Zac transform; signal analysis; signal synthesis; Algorithm design and analysis; Fourier transforms; Frequency; Large-scale systems; Signal analysis; Signal design; Signal synthesis; Wavelet analysis; Wavelet transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Multidimensional Signal Processing Workshop, 1989., Sixth
Conference_Location
Pacific Grove, CA
Type
conf
DOI
10.1109/MDSP.1989.97061
Filename
97061
Link To Document