Wavelet Rational Filters and Regularty Analysis

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Abstract

In this paper, we choose the trigonometric rational functions as wavelet filters and use them to derive various wavelets. Especially for a certain family of wavelets generated by the rational filters, the better smoothness results than Daubechies' are obtained.

Keywords:

Wavelet Filter Rational filter Regularity.
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Wavelet Rational Filters and Regularty Analysis. (2000). Journal of Computational Mathematics, 18(5), 481-486. https://global-sci.com/index.php/JCM/article/view/11384