NDLI: Extrapolation of discrete-time band-limited signals using singular value decomposition with decimation

Content Provider	IEEE Xplore Digital Library
Author	Sullivan, B. Bede Liu
Copyright Year	1984
Description	Author affiliation: Princeton University, Princeton, N.J. (Sullivan, B.)
Abstract	The problem of extrapolating a band-limited signal in discrete-time is viewed as one of solving an underdetermined system of linear equations. The matrix to be inverted is also generally ill-conditioned. Singular value decomposition (SVD) provides both a means for implementing the inverse and a method for improving the numerical stability of the problem. An expression for the mean-square error incurred in solving a system of linear equations via SVD is derived. This expression can be used to estimate the number of singular values needed to form the inverse. Further examination of the expression indicates that, in the case of an oversampled signal, decimation can be applied without significantly degrading the extrapolation. The results developed for the one-dimensional case can be extended to higher dimensions, as illustrated by the two-dimensional case. Examples of the SVD approach to extrapolation are given, along with examples using other extrapolation techniques for comparison. The SVD approach is seen to yield the best extrapolation of the known minimum-norm least-squares methods.
Starting Page	626
Ending Page	629
File Size	108377
Page Count	4
File Format	PDF
DOI	10.1109/ICASSP.1984.1172616
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1984-03-19
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Extrapolation Singular value decomposition Equations Eigenvalues and eigenfunctions Additive noise Degradation Numerical stability Signal processing Frequency Computational complexity
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