Orthogonal compactly supported wavelet construction using beta functions

Author

Hamidi, Seyed M. ; Adhami, Reza R. ; Bruce, Lori M.

Author_Institution

Dept. of Electr. & Comput. Eng., Alabama Univ., Huntsville, AL, USA

fYear

1994

fDate

25-28 Oct 1994

Firstpage

401

Lastpage

404

Abstract

We present a simple method of constructing maximally flat halfband filters based on normalized incomplete beta functions which can easily be used to construct orthonormal compactly supported wavelets. We show how the halfband beta filters can be appropriately factored to yield linear phase and conjugate quadrature filters for use in exact reconstruction subband coders. The linear phase solutions provide finite impulse response filters with simple coefficients which can be easily generated for large order filters. The CQF solutions are shown to be the same as the wavelet solutions obtained by Daubechies

Keywords

FIR filters; delay circuits; filtering theory; signal reconstruction; transform coding; wavelet transforms; CQF solutions; beta functions; conjugate quadrature filters; exact reconstruction subband coders; finite impulse response filters; halfband beta filters; large order filters; linear phase filters; maximally flat halfband filters; orthogonal compactly supported wavelet construction; wavelet solutions; Filter bank; Finite impulse response filter; Interpolation; Lagrangian functions; Mathematics; Nonlinear filters; Polynomials; Signal analysis; Transfer functions; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on

Conference_Location

Philadelphia, PA

Print_ISBN

0-7803-2127-8

Type

conf

DOI

10.1109/TFSA.1994.467217

Filename

467217