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Proceedings Paper

Performance analysis of a special prefiltering algorithm for orthogonal M-band wavelets
Author(s): Jiankang Zhang; Zheng Bao
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Paper Abstract

This paper analyzes the approximation performance of a special prefiltering algorithm for the orthogonal wavelet base. When the scaling factor is sufficiently large, we obtain a asymptotic formula of the approximation error of the prefiltering projection for the smooth signal. Also, we obtain a sharp upper bound of the approximation error of the prefiltering projection for the bandlimited signal. The results show that the convergent order of the prefiltering projection is the same as that of the orthogonal projection. With this one can determine the initial scaling factor and furthermore determine the corresponding initial scaling coefficients by the algorithm to satisfy the given error requirement. Finally, the experiments show that for the signals with normalized energy, the scaling function D4 and J equals 2 may be generally selected to get the accurate initial scaling coefficients to some degree.

Paper Details

Date Published: 25 September 1998
PDF: 4 pages
Proc. SPIE 3545, International Symposium on Multispectral Image Processing (ISMIP'98), (25 September 1998); doi: 10.1117/12.323561
Show Author Affiliations
Jiankang Zhang, Xidian Univ. (China)
Zheng Bao, Xidian Univ. (China)


Published in SPIE Proceedings Vol. 3545:
International Symposium on Multispectral Image Processing (ISMIP'98)
Ji Zhou; Anil K. Jain; Tianxu Zhang; Yaoting Zhu; Mingyue Ding; Jianguo Liu, Editor(s)

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