NDLI: On the bandlimited extrapolation of discrete signals

Content Provider	IEEE Xplore Digital Library
Author	Hayes, M. Schafer, R.
Copyright Year	1983
Description	Author affiliation: Georgia Institute of Technology, Atlanta, GA (Hayes, M.)
Abstract	The extrapolation of a bandlimited signal from observations taken over a finite interval is an important problem in applications such as spectral estimation and image processing. The extrapolation of bandlimited analog signals is fundamentally different, however, from the band-limited extrapolation of discrete time sequences. Specifically, as has been previously noted, a unique solution to the discrete problem does not exist. In this paper, this fact is demonstrated in a new and convincing way. In particular, two methods are presented for constructing a sequence which, in the frequency domain, is band-limited to an arbitrary cutoff frequency and which, in the time domain, is equal to zero over an interval of arbitrary length. The importance of the existence of these multiple solutions to the general extrapolation problem is emphasized and questions are raised regarding the need for additional constraints in the discrete band-limited extrapolation problem.
Starting Page	1450
Ending Page	1453
File Size	63571
Page Count	4
File Format	PDF
DOI	10.1109/ICASSP.1983.1171922
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1983-04-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Extrapolation Fourier transforms Frequency domain analysis Sampling methods Signal analysis Signal processing Image processing Cutoff frequency Focusing Filters
Content Type	Text
Resource Type	Article

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