NDLI: Transformation of Shannon's sampling points into Daubechies' wavelet sampling points

Content Provider	IEEE Xplore Digital Library
Author	Zhang Jiankang Bao Zheng Jiao Licheng
Copyright Year	1998
Description	Author affiliation: Key Lab. for Radar Signal Process., Xidian Univ., Xi'an, China (Zhang Jiankang)
Abstract	Recently, diverse wavelet prefiltering algorithms have been developed to improve the approximation performance of transforming the uniform sampling points into the theoretic wavelet sampling points. Particularly for the orthogonal compactly supported wavelet bases, there is simple FIR prefilter, which consists of the values of the scaling function at integer points. Our focus in this paper is on the study of the performance of the transforming errors and the corresponding systematic error of the pyramidal algorithm. We obtain sharp estimations of the upper bounds of errors for bandlimited signals. The results show that the selection of the initial scaling factor depends not only on the wavelet base, but also on the degree of the dispersion or concentration in the frequency of a signal. With this one can determine the initial multiresolution subspace according to the error requirement. Finally, the experiments show that for bandlimited signals with normalized energy, the scaling function D/sub 4/ and J=2 may be generally selected to get accurate initial scaling coefficients to some degree.
Starting Page	305
Ending Page	308
File Size	289077
Page Count	4
File Format	PDF
ISBN	0780343255
DOI	10.1109/ICOSP.1998.770212
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-10-12
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sampling methods Discrete wavelet transforms Continuous wavelet transforms Signal processing algorithms Signal sampling Finite impulse response filter Approximation algorithms Signal processing Upper bound Radar signal processing
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

On optimal prefiltering for wavelet coefficient computation

Design of optimal FIR prefilters for wavelet coefficient computation

Fast algorithms for the continuous wavelet transform

Computing the ambiguity surface

Parametric approximation of room impulse responses based on wavelet decomposition

Discrete-time wavelet extrema representation: design and consistent reconstruction

Fast FIR Algorithms for the Continuous Wavelet Transform From Constrained Least Squares

A mixed Butterworth/Daubechies wavelet analysis/synthesis system

On Hilbert-pairs from non-minimum phase Daubechies filters

Transformation of Shannon's sampling points into Daubechies' wavelet sampling points

Similar Documents

On optimal prefiltering for wavelet coefficient computation

Design of optimal FIR prefilters for wavelet coefficient computation

Fast algorithms for the continuous wavelet transform

Computing the ambiguity surface

Parametric approximation of room impulse responses based on wavelet decomposition

Discrete-time wavelet extrema representation: design and consistent reconstruction

Fast FIR Algorithms for the Continuous Wavelet Transform From Constrained Least Squares

A mixed Butterworth/Daubechies wavelet analysis/synthesis system

On Hilbert-pairs from non-minimum phase Daubechies filters

Transformation of Shannon's sampling points into Daubechies' wavelet sampling points