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Asymptotic Behavior of the Daubechies Filters

✍ Scribed by Djalil Kateb; Pierre Gilles Lemarie-Rieusset

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
96 KB
Volume
2
Category
Article
ISSN
1063-5203

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πŸ“œ SIMILAR VOLUMES

Asymptotics of Daubechies Filters, Scali
Asymptotics of Daubechies Filters, Scaling Functions, and Wavelets
✍ Jianhong Shen; Gilbert Strang πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 325 KB

We study the asymptotic form as p r Ο± of the Daubechies orthogonal minimum phase filter h p [n], scaling function f p (t), and wavelet w p (t). Kateb and Lemarie Β΄calculated the leading term in the phase of the frequency response leads us to a problem in stationary phase, for an oscillatory integra

Asymptotics and Numerics of Zeros of Pol
Asymptotics and Numerics of Zeros of Polynomials That Are Related to Daubechies Wavelets
✍ Nico M. Temme πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 211 KB

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 value