Orthonormal wavelets with simple closed-form expressions

Author

Walter, G.G. ; Zhang, J.

Author_Institution

Dept. of Math., Wisconsin Univ., Milwaukee, WI, USA

Volume

46

Issue

8

fYear

1998

fDate

8/1/1998 12:00:00 AM

Firstpage

2248

Lastpage

2251

Abstract

Two classes of orthonormal wavelets that have simple closed-form expressions are derived from pulses with the raised-cosine spectrum. These wavelets, which are bandlimited and polynomial-decaying in time, are found to be particular examples of the Lemarie-Meyer (1992, 1993) wavelets. The derivation reveals interesting connections between wavelet construction and intersymbol interference (ISI)-free signaling for digital communications

Keywords

digital communication; signal processing; spectral analysis; telecommunication signalling; wavelet transforms; ISI-free signaling; Lemarie-Meyer wavelets; bandlimited wavelets; closed-form expressions; digital communications; frequency domain; intersymbol interference; orthonormal wavelets; polynomial-decaying wavelets; raised-cosine spectrum; sampling functions; signal processing; time domain; wavelet construction; Closed-form solution; Digital communication; Discrete wavelet transforms; Finite impulse response filter; Frequency; Image coding; Intersymbol interference; Polynomials; Signal processing; Wavelet analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.705452

Filename

705452