Title :
A multiplicative Zac transform
Author_Institution :
Center for Large Scale Comput., City Univ. of New York, NY, USA
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;
Conference_Titel :
Multidimensional Signal Processing Workshop, 1989., Sixth
Conference_Location :
Pacific Grove, CA
DOI :
10.1109/MDSP.1989.97061
