Initialization of orthogonal discrete wavelet transforms

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2000Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Signal Processing, volume 48, pages 1,474-1,477 (issn: 1053-587X,

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Authors: Jiankang Zhang; Zheng Bao 0001;

doi: 10.1109/78.839995

Initialization of orthogonal discrete wavelet transforms

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Abstract

Summary: The symptotic formulae of both the approximation error and the systematic error of a special prefilter projection and the quantitative estimates of the upper bounds of the errors are obtained. In addition, it is shown that for the Daubechies' orthogonal wavelet basis, the estimated constant is optimal.

Related Organizations

McMaster University
Canada
Xidian University
China (People's Republic of)

Keywords

Signal theory (characterization, reconstruction, filtering, etc.), discrete wavelet transform, initialization, Numerical methods for wavelets, prefilter, Application of orthogonal and other special functions

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