The GenLOT: generalized linear-phase lapped orthogonal transform

Author

De Queiroz, Ricardo L. ; Nguyen, Troung Q. ; Rao, K.R.

Author_Institution

Xerox Webster Res. Center, NY, USA

Volume

44

Issue

3

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

497

Lastpage

507

Abstract

The general factorization of a linear-phase paraunitary filter bank (LPPUFB) is revisited. From this new perspective, a class of lapped orthogonal transforms with extended overlap (generalized linear-phase lapped orthogonal transforms (GenLOTs)) is developed as a subclass of the general class of LPPUFB. In this formulation, the discrete cosine transform (DCT) is the order-1 GenLOT, the lapped orthogonal transform is the order-2 GenLOT, and so on, for any filter length that is an integer multiple of the block size. The GenLOTs are based on the DCT and have fast implementation algorithms. The implementation of GenLOTs is explained, including the method to process finite-length signals. The degrees of freedom in the design of GenLOTs are described, and design examples are presented along with image compression tests

Keywords

band-pass filters; data compression; delay circuits; discrete cosine transforms; image coding; image reconstruction; transform coding; GenLOT; LPPUFB; block size; design; discrete cosine transform; fast implementation algorithms; filter length; finite-length signals; general factorization; generalized linear-phase lapped orthogonal transform; image compression tests; linear-phase paraunitary filter bank; signal processing; Discrete cosine transforms; Discrete transforms; Filter bank; Finite impulse response filter; Helium; Image coding; Signal processing; Signal processing algorithms; Testing; USA Councils;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.489023

Filename

489023