NDLI: Sufficient codition for extendibility and two-dimensional power spectrum estimation

Content Provider	IEEE Xplore Digital Library
Author	Nikias, C. Venetsanopoulos, A.
Copyright Year	1985
Description	Author affiliation: University of Connecticut, Storrs, CT, USA (Nikias, C.)
Abstract	A sufficient condition for the extendibility of two-dimensional (2-d) quadratically symmetric autocorrelation samples is derived based on matrix decomposition approaches. This condition is very simple to test because it boils down to a positive definiteness checking of a set of Toeplitz form matrices. It is shown by means of examples that this sufficient condition can be very useful, in some cases, by making the tedious extendibility test unnecessary. This paper also presents a method which can approximate with small error a given quadratically symmetric autocorrelation function (a.c.f) over a square with a new a.c.f that is guaranteed to be extendible. This method is also based on a matrix decomposition approach and employs an iterative gradient algorithm. Its implications to the estimation of a 2-d power spectrum is demonstrated.
Starting Page	792
Ending Page	795
File Size	82515
Page Count	4
File Format	PDF
DOI	10.1109/ICASSP.1985.1168333
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	Spectral analysis Autocorrelation Testing Sufficient conditions Polynomials Extrapolation Chromium Algebra Matrix decomposition
Content Type	Text
Resource Type	Article

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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
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