Some Properties of the Perturbed Haar Wavelets

reportActive / Technical Report | Accession Number: ADP013747 | Open PDF

Abstract:

One of the authors has studied the properties of a family of Riesz bases obtained by perturbing the Haar function using B-splines. Although these bases cannot be obtained by multiresolution analyses, they have other interesting properties. The present paper discusses how a discrete signal can be studied by considering a suitable function so that the existing theory for functions defined over a continuous domain can be applied.

Author(s):
Gonzalez, A. L. ; Zalik, R. A.
Author Organization(s):
UNIVERSIDAD NACIONAL DE MAR DEL PLATA (ARGENTINA) INST OF SCIENCE AND MATERIALS TECHNOLOGY RESEARCH
Descriptive Note:
Conference paper
Supplementary Note:
The original document contains color images. All DTIC reproductions will be in black and white. Presented at Algorithms for Approximation IV held in Huddersfield, UK on 16-20 Jul 2001. This article is from ADA412833 Algorithms For Approximation IV. Proceedings of the 2001 International Symposium
Pagination:
0008

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Monitor Series:
X5
 Subject Terms
Joint Capability Areas:
JCA_5.3_Planning; JCA_5_Command and Control
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*WAVELET TRANSFORMS, SIGNAL PROCESSING, UNITED STATES, SYMPOSIA, PERTURBATIONS, ORTHOGONALITY, ARGENTINA
Field(s)/Group(s):
Numerical Mathematics, Theoretical Mathematics
Keyword(s):
COMPONENT REPORT, FOREIGN REPORTS, SPLINES
Report Date:
2001 Jul 01
Creation Date:
2003 May 21