Arbitrary bandwidth wavelet sets

Author

Evangelista, Gianpaolo ; Cavaliere, Sergio

Author_Institution

Dept. of Phys. Sci., Univ. Federico II, Napoli, Italy

Volume

3

fYear

1998

fDate

12-15 May 1998

Firstpage

1801

Abstract

In this paper we consider an extension of the wavelet transform leading to the construction of wavelets with arbitrary bandwidth. The new wavelets are complete, orthonormal and dyadic; nevertheless their bandwidth is not constrained to be one octave, rather it may be designed by selecting a set of parameters. The construction of the new bases starts in the discrete-time domain, exploiting properties of the Laguerre transform. Furthermore, we provide a procedure to define continuous-time warped wavelets. The flexibility of the bandwidth allocation allows for more and improved applications of the wavelet transform, such as signal coding, the design of auditory model based filterbanks and transient detection in pseudoperiodic signals, pointed out in the paper

Keywords

continuous time filters; discrete time filters; stochastic processes; wavelet transforms; Laguerre transform; arbitrary bandwidth wavelet sets; auditory model based filterbanks; bandwidth allocation; bases; continuous-time warped wavelets; design; discrete-time domain; pseudoperiodic signals; signal coding; transient detection; wavelet transform; Bandwidth; Channel allocation; Continuous wavelet transforms; Discrete wavelet transforms; Filtering theory; Frequency; IIR filters; Mirrors; Signal design; Signal detection;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on

Conference_Location

Seattle, WA

ISSN

1520-6149

Print_ISBN

0-7803-4428-6

Type

conf

DOI

10.1109/ICASSP.1998.681810

Filename

681810