小波多项式和相关的零点位置

2012 International Conference on Communications and Information Technology (ICCIT) Pub Date : 2012-06-26 DOI:10.1109/ICCITECHNOL.2012.6285792

J. Karam, Samer E. Mansour

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摘要

有条件强加于滤波器的系数，因此对二项式多项式的根与Daubechies小波的构造有关。本文从这种构造中导出了一类特殊的多项式。它的系数是二项式多项式的比值。导出了这类多项式根的极限，并给出了获得最优半径的条件，并举例说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Wavelets polynomials and associated zeros locations

There are conditions imposed on the coefficients of filters and therefore on the roots of the binomial polynomials associated with the construction of Daubechies Wavelets. In this paper, a particular class of polynomials is derived from such construction. It bears as coefficients the ratios of those of the binomial polynomials. Limits for the roots of this family of polynomials are derived and the conditions for obtaining optimum radius are identified along with some illustrations.

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2012 International Conference on Communications and Information Technology (ICCIT)

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