NDLI: A comparison of three methods for discrete-time signal extrapolation

Content Provider	IEEE Xplore Digital Library
Author	Sullivan, B.
Copyright Year	1985
Description	Author affiliation: Northwestern University, Evanston, Illinois (Sullivan, B.)
Abstract	Methods for the extrapolation of a band-limited signal based on three different approaches for solving systems of linear equations--singular value decomposition, conjugate gradients, and A-minimal iterations--are compared with respect to the computational complexity of their implementations, the effect of noise on their performance, and the manner in which each addresses the problem of a poorly conditioned system. It is observed that the solution obtained by the SVD approach is theoretically best in the least squares sense, although it is computationally the most expensive. Decreases in computational costs are paralleled by decreases in the expected and observed quality of the extrapolation produced by the three methods. The use of decimation with the SVD approach to reduce computation as discussed in previous work [1] is seen to make SVD competitive with the two conjugate direction techniques in this respect.
Starting Page	469
Ending Page	472
File Size	76409
Page Count	4
File Format	PDF
DOI	10.1109/ICASSP.1985.1168475
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1985-04-26
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Extrapolation Equations Symmetric matrices Eigenvalues and eigenfunctions Degradation Sampling methods Iterative methods Signal processing Random sequences Bandwidth
Content Type	Text
Resource Type	Article

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