NDLI: An insight into a redundant signal decomposition on bases in a vector space

Content Provider	IEEE Xplore Digital Library
Author	Zavarsky, P. Kambayashi, N. Myoken, T.
Copyright Year	1998
Description	Author affiliation: Dept. of Electr. Eng., Nagaoka Univ. of Technol., Niigata, Japan (Zavarsky, P.)
Abstract	Expansions of complex discrete-time signals onto a single basis in the given vector space provide an incomplete and in a way potentially misleading information about the signals in signal analysis applications. We use a simple example to illustrate the incompleteness of the information about the signal in the decompositions on a single basis. Then, we limit our attention to an oversampled decimated perfect reconstruction filter bank. It is illustrated that oversampled decimated filter banks can serve as a tool which provides more complete information about the signal and at the same time the filter banks can enjoy an efficient polyphase component implementation of maximally decimated, i.e. nonredundant, filter banks. In an oversampled decimated filter bank the relation between analysis filters given by H/sub k/(z)=H/sub 0/(zW/sub M//sup k/) does not in general imply that the filter bank formed by these filters is a uniform filter bank with center frequencies of the filters uniformly spaced on the frequency axis. A simple example which removes a possible surprise which accompanies this statement is provided. It is also shown that if the complete set of filters H/sub k/(z)=H/sub 0/(zW/sub M//sup k/) of the oversampled decimated filter bank can be derived from more than a single prototype then the efficient polyphase implementations of the oversampled decimated filter bank can be readily available. Relation of the considered oversampled decimated filter bank with a decomposition of the discrete-time signal onto several bases of the given vector space is emphasized throughout the paper.
Starting Page	423
Ending Page	426
File Size	332095
Page Count	4
File Format	PDF
ISBN	0780351460
DOI	10.1109/APCCAS.1998.743800
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-11-24
Publisher Place	Thailand
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal resolution Filter bank Space technology Signal analysis Signal processing Frequency domain analysis Signal design Signal detection
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

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