Time-varying lapped transforms and wavelet packets

Author

De Queiroz, Ricardo L. ; Rao, K.R.

Author_Institution

Dept. of Electr. Eng., Texas Univ., Arlington, TX, USA

Volume

41

Issue

12

fYear

1993

fDate

12/1/1993 12:00:00 AM

Firstpage

3293

Lastpage

3305

Abstract

The perfect reconstruction conditions for a time-varying lapped transform (paraunitary filter bank) are developed through the factorization of the transform matrix into sparse factors. A general formulation is presented allowing one to switch between two paraunitary filter banks. However, the extended lapped transform (ELT) is often used as an example. Furthermore, an adaptive wavelet packet is developed employing a time varying, tree association of ELTs. In all cases perfect reconstruction is inherently assured

Keywords

adaptive filters; digital filters; filtering and prediction theory; time-varying networks; trees (mathematics); wavelet transforms; ELT; adaptive wavelet packet; extended lapped transform; factorization; paraunitary filter bank; reconstruction; sparse factors; time varying tree association; time-varying lapped transform; transform matrix; Digital signal processing; Discrete transforms; Discrete wavelet transforms; Filter bank; Finite impulse response filter; Modems; Sparse matrices; Switches; Wavelet packets; Wavelet transforms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.258074

Filename

258074