Wavelet coefficient computation with optimal prefiltering

Author

Xia, Xiang-Gen ; Kuo, C. C Jay ; Zhen Zhang

Author_Institution

Dept. of Electr. & Comput. Eng., Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA

Volume

42

Issue

8

fYear

1994

fDate

8/1/1994 12:00:00 AM

Firstpage

2191

Lastpage

2197

Abstract

Discrete wavelet transform (DWT) is often used to approximate wavelet series transform (WST) and continuous wavelet transform (CWT), since it can be computed numerically. In this research, we first study the accuracy of the computed DWT coefficients obtained from the Shensa (see ibid., vol.40, no.10, p.2464-2482, 1992) algorithm as an approximate of the WST coefficients. Based on the accuracy analysis, we then propose a procedure to design optimal FIR prefilters used in the Shensa algorithm to reduce the approximation error. Finally, numerical examples are presented to demonstrate the performance of the optimal FIR prefilters

Keywords

filtering and prediction theory; signal processing; wavelet transforms; CWT; DWT; Shensa algorithm; WST; accuracy analysis; approximation error reduction; continuous wavelet transform; discrete wavelet transform; optimal FIR prefilters; optimal prefiltering; wavelet coefficient; wavelet series transform; Algorithm design and analysis; Approximation algorithms; Continuous wavelet transforms; Discrete wavelet transforms; Finite impulse response filter; Image processing; Signal processing; Wavelet analysis; Wavelet coefficients; Wavelet transforms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.301858

Filename

301858