Performance analysis of a special prefiltering algorithm for orthogonal M-band wavelets

Jiankang Zhang; Zheng Bao

doi:10.1117/12.323561

25 September 1998 Performance analysis of a special prefiltering algorithm for orthogonal M-band wavelets

Jiankang Zhang, Zheng Bao

Proceedings Volume 3545, International Symposium on Multispectral Image Processing (ISMIP'98); (1998) https://doi.org/10.1117/12.323561
Event: International Symposium on Multispectral Image Processing, 1998, Wuhan, China

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.

Citation Download Citation

Jiankang Zhang and Zheng Bao "Performance analysis of a special prefiltering algorithm for orthogonal M-band wavelets", Proc. SPIE 3545, International Symposium on Multispectral Image Processing (ISMIP'98), (25 September 1998); https://doi.org/10.1117/12.323561

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