NDLI: Algebraic Signal Processing Theory: Sampling for Infinite and Finite 1-D Space

Content Provider	IEEE Xplore Digital Library
Author	Kovacevic, J. Puschel, M.
Copyright Year	1991
Abstract	We derive a signal processing framework, called space signal processing, that parallels time signal processing. As such, it comes in four versions (continuous/discrete, infinite/finite), each with its own notion of convolution and Fourier transform. As in time, these versions are connected by sampling theorems that we derive. In contrast to time, however, space signal processing is based on a different notion of shift, called space shift, which operates symmetrically. Our work rigorously connects known and novel concepts into a coherent framework; most importantly, it shows that the sixteen discrete cosine and sine transforms are the space equivalent of the discrete Fourier transform, and hence can be derived by sampling. The platform for our work is the algebraic signal processing theory, an axiomatic approach and generalization of linear signal processing that we recently introduced.
Sponsorship	IEEE Signal Processing Society
Starting Page	242
Ending Page	257
Page Count	16
File Size	1980305
File Format	PDF
ISSN	1053587X
Volume Number	58
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal processing Signal sampling Biomedical signal processing Fourier transforms Discrete Fourier transforms Convolution Visualization Discrete transforms Eigenvalues and eigenfunctions Algebra convolution Discrete cosine and sine transforms Fourier cosine transform space shift signal model module
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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