The phase of the Daubechies filters.

Djalil Kateb; Pierre Gilles Lemarié-Rieusset

Revista Matemática Iberoamericana (1997)

  • Volume: 13, Issue: 2, page 245-305
  • ISSN: 0213-2230

Abstract

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We give the first term of the asymptotic development for the phase of the N-th (minimum-phased) Daubechies filter as N goes to +∞. We obtain this result through the description of the complex zeros of the associated polynomial of degree 2N+1.

How to cite

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Kateb, Djalil, and Lemarié-Rieusset, Pierre Gilles. "The phase of the Daubechies filters.." Revista Matemática Iberoamericana 13.2 (1997): 245-305. <http://eudml.org/doc/39543>.

@article{Kateb1997,
abstract = {We give the first term of the asymptotic development for the phase of the N-th (minimum-phased) Daubechies filter as N goes to +∞. We obtain this result through the description of the complex zeros of the associated polynomial of degree 2N+1.},
author = {Kateb, Djalil, Lemarié-Rieusset, Pierre Gilles},
journal = {Revista Matemática Iberoamericana},
keywords = {Filtros digitales; Detección de señales; Aproximación polinómica; Desarrollo asintótico; Ondículas; Polinomios de Bernstein; wavelets; linear phase filter; filter bank},
language = {eng},
number = {2},
pages = {245-305},
title = {The phase of the Daubechies filters.},
url = {http://eudml.org/doc/39543},
volume = {13},
year = {1997},
}

TY - JOUR
AU - Kateb, Djalil
AU - Lemarié-Rieusset, Pierre Gilles
TI - The phase of the Daubechies filters.
JO - Revista Matemática Iberoamericana
PY - 1997
VL - 13
IS - 2
SP - 245
EP - 305
AB - We give the first term of the asymptotic development for the phase of the N-th (minimum-phased) Daubechies filter as N goes to +∞. We obtain this result through the description of the complex zeros of the associated polynomial of degree 2N+1.
LA - eng
KW - Filtros digitales; Detección de señales; Aproximación polinómica; Desarrollo asintótico; Ondículas; Polinomios de Bernstein; wavelets; linear phase filter; filter bank
UR - http://eudml.org/doc/39543
ER -

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