Title :
Arbitrary tilings of phase space
Author :
Frederick, Thomas ; Erdöl, NurgÜn
Author_Institution :
Analog Products Div., Racal-Datacom Inc., Sunrise, FL, USA
Abstract :
This paper considers the approximation of the continuous wavelet transform (CWT) for band-limited signals. We present a digital filter design technique to approximate the CWT on arbitrary lattices of points in the phase plane. Using compactly supported wavelets and smoothing functions (which approximate the sinπt/πt scaling function), FIR filters are designed to compute the samples of the CWT directly from the sampled input data. This technique is compared to the discrete wavelet transform algorithm
Keywords :
FIR filters; approximation theory; signal sampling; smoothing methods; wavelet transforms; FIR filters; approximation; band-limited signals; continuous wavelet transform; digital filter design; discrete wavelet transform algorithm; phase plane; phase space; sampled input data; scaling function; signal analysis; smoothing functions; Continuous wavelet transforms; Digital filters; Discrete wavelet transforms; Filter bank; Fourier transforms; Lattices; Sampling methods; Signal analysis; Smoothing methods; Wavelet transforms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-1775-0
DOI :
10.1109/ICASSP.1994.390099
