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Asymptotics and Numerics of Zeros of Polynomials That Are Related to Daubechies Wavelets

✍ Scribed by Nico M. Temme

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 211 KB
Volume: 4
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.1997.0218

No coin nor oath required. For personal study only.

✦ Synopsis

We give asymptotic approximations of the zeros of certain high degree polynomials. The zeros can be used to compute the filter coefficients in the dilation equations which define the compactly supported orthogonal Daubechies wavelets. Computational schemes are presented to obtain the numerical values of the zeros within high precision.

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