Arbitrary tilings of phase space

Author

Frederick, Thomas ; Erdöl, NurgÜn

Author_Institution

Analog Products Div., Racal-Datacom Inc., Sunrise, FL, USA

Volume

iii

fYear

1994

fDate

19-22 Apr 1994

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on

Conference_Location

Adelaide, SA

ISSN

1520-6149

Print_ISBN

0-7803-1775-0

Type

conf

DOI

10.1109/ICASSP.1994.390099

Filename

390099