PR-QMF design with Bernstein polynomials

Author

Caglar, Hakan ; Akansu, Ali N.

Author_Institution

Dept. of Electr. & Comput. Eng., New Jersey Inst. of Technol., Newark, NJ, USA

Volume

2

fYear

1992

fDate

10-13 May 1992

Firstpage

999

Abstract

A generalized, parametric PR-QMF (perfect reconstruction quadrature mirror filter) design technique based on the Bernstein polynomial approximation is developed. The parametric nature of this solution provides very useful insights into the PR-QMF problem. Several well-known orthonormal wavelet filters, PR-QMFs, are shown to be the special cases of the proposed technique. The energy compaction performance of a few popular signal decomposition techniques is presented for AR(1) signal sources. It is shown that the QMF filter banks considered here outperform the block transforms, as expected

Keywords

filtering and prediction theory; polynomials; signal processing; AR(1) signal sources; Bernstein polynomials; design technique; energy compaction performance; orthonormal wavelet filters; perfect reconstruction; polynomial approximation; quadrature mirror filter; signal decomposition techniques; Compaction; Filter bank; Low pass filters; Mirrors; Polynomials; Signal design; Signal processing; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on

Conference_Location

San Diego, CA

Print_ISBN

0-7803-0593-0

Type

conf

DOI

10.1109/ISCAS.1992.230051

Filename

230051