On the smoothness of orthonormal wavelets arising from HDAFs

Lixin Shen; Jiansheng Yang; M. Papadakis; I. Kakadiaris; D. J. Kouri; D. K. Huffman

doi:10.1016/j.acha.2003.08.001

On the smoothness of orthonormal wavelets arising from HDAFs

Lixin Shen, Jiansheng Yang, M. Papadakis, I. Kakadiaris, D. J. Kouri, D. K. Huffman

Research output: Contribution to journal › Letter › peer-review

2 Scopus citations

Abstract

An estimation for the smoothness of a family of symmetric orthonormal wavelets arising from Hermite Distributed Approximating Functionals (HDAFs) was presented. Wavelets associated with low pass filters, which are not trignometric polynomials were implemented by infinite impulse response (IIR) filter banks. The associated low pass filters were found symmetric with respect to the origin.

Original language	English (US)
Pages (from-to)	242-254
Number of pages	13
Journal	Applied and Computational Harmonic Analysis
Volume	15
Issue number	3
DOIs	https://doi.org/10.1016/j.acha.2003.08.001
State	Published - Nov 2003

ASJC Scopus subject areas

Applied Mathematics

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@article{32309824755440ab81c0eee75454a274,

title = "On the smoothness of orthonormal wavelets arising from HDAFs",

abstract = "An estimation for the smoothness of a family of symmetric orthonormal wavelets arising from Hermite Distributed Approximating Functionals (HDAFs) was presented. Wavelets associated with low pass filters, which are not trignometric polynomials were implemented by infinite impulse response (IIR) filter banks. The associated low pass filters were found symmetric with respect to the origin.",

author = "Lixin Shen and Jiansheng Yang and M. Papadakis and I. Kakadiaris and Kouri, \{D. J.\} and Huffman, \{D. K.\}",

note = "Funding Information: This research was supported in part by the following grants: Texas Higher Education Coordinating board ARP 003652-0071-2001, NSF DMS-0070376, NSF CHE-0074311, and R.A. Welch Foundation E-0608. Financial support was also provided by the Texas Learning and Computation Center of the University of Houston and by a University of Houston GEAR 2002 grant.",

year = "2003",

month = nov,

doi = "10.1016/j.acha.2003.08.001",

language = "English (US)",

volume = "15",

pages = "242--254",

journal = "Applied and Computational Harmonic Analysis",

issn = "1063-5203",

publisher = "Academic Press",

number = "3",

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TY - JOUR

T1 - On the smoothness of orthonormal wavelets arising from HDAFs

AU - Shen, Lixin

AU - Yang, Jiansheng

AU - Papadakis, M.

AU - Kakadiaris, I.

AU - Kouri, D. J.

AU - Huffman, D. K.

N1 - Funding Information: This research was supported in part by the following grants: Texas Higher Education Coordinating board ARP 003652-0071-2001, NSF DMS-0070376, NSF CHE-0074311, and R.A. Welch Foundation E-0608. Financial support was also provided by the Texas Learning and Computation Center of the University of Houston and by a University of Houston GEAR 2002 grant.

PY - 2003/11

Y1 - 2003/11

N2 - An estimation for the smoothness of a family of symmetric orthonormal wavelets arising from Hermite Distributed Approximating Functionals (HDAFs) was presented. Wavelets associated with low pass filters, which are not trignometric polynomials were implemented by infinite impulse response (IIR) filter banks. The associated low pass filters were found symmetric with respect to the origin.

AB - An estimation for the smoothness of a family of symmetric orthonormal wavelets arising from Hermite Distributed Approximating Functionals (HDAFs) was presented. Wavelets associated with low pass filters, which are not trignometric polynomials were implemented by infinite impulse response (IIR) filter banks. The associated low pass filters were found symmetric with respect to the origin.

UR - https://www.scopus.com/pages/publications/0242413828

UR - https://www.scopus.com/inward/citedby.url?scp=0242413828&partnerID=8YFLogxK

U2 - 10.1016/j.acha.2003.08.001

DO - 10.1016/j.acha.2003.08.001

M3 - Letter

AN - SCOPUS:0242413828

SN - 1063-5203

VL - 15

SP - 242

EP - 254

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

IS - 3

ER -

On the smoothness of orthonormal wavelets arising from HDAFs

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