A new family of orthonormal wavelet bases

Author

Divakaran, Ajay ; Pearlman, William A.

Author_Institution

Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA

fYear

1992

Firstpage

331

Lastpage

334

Abstract

Most existing quadrature mirror filters (QMFs) closely match the derived analytical expression for an efficient class of QMFs. Closed-form expressions are derived for the corresponding family of orthonormal wavelet bases, giving a simple and general analytic framework for wavelet analysis of QMFs. The wavelet scaling function that has the best combined time-frequency localization of all members of this family is found. It is suggested that power complementary QMFs are sufficiently regular in practice. When the number of pyramid stages is small, perfect reconstruction schemes that satisfy regularity considerations are not likely to significantly surpass power complementary QMFs in practice

Keywords

digital filters; filtering and prediction theory; wavelet transforms; QMF; closed form expressions; orthonormal wavelet bases; perfect reconstruction; pyramid stages; quadrature mirror filters; regularity considerations; wavelet scaling function; Band pass filters; Electronic mail; Finite impulse response filter; Fourier series; Fourier transforms; Matched filters; Mirrors; Systems engineering and theory; Time frequency analysis; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium

Conference_Location

Victoria, BC

Print_ISBN

0-7803-0805-0

Type

conf

DOI

10.1109/TFTSA.1992.274171

Filename

274171