Malvar wavelets with asymmetrically overlapped windows

Author

Xia, Xiang-Gen ; Suter, Bruce W. ; Oxley, Mark E.

Author_Institution

Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA

Volume

44

Issue

3

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

723

Lastpage

728

Abstract

Malvar (see ibid., vol.38, p.969-78, June 1990) wavelets (or tapped orthogonal transforms) with symmetric overlaps have been studied extensively. We consider Malvar wavelets with asymmetric overlaps in both continuous-time and discrete-time cases. We present conditions on window functions in continuous-time case so that Malvar wavelets can be constructed from different local bases. However, in discrete-time cases, we show that Malvar wavelets are impossible unless the overlaps are symmetric. Numerical examples are presented to illustrate the theory. We consider real valued signals and bases

Keywords

signal processing; wavelet transforms; Malvar wavelets; asymmetrically overlapped windows; continuous-time case; discrete-time case; local bases; real valued signals; symmetric overlaps; tapped orthogonal transforms; window functions; Continuous wavelet transforms; Discrete transforms; Discrete wavelet transforms; Filter bank; Finite impulse response filter; Image reconstruction; Laboratories; Mathematics; Statistics; Transform coding;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.489049

Filename

489049