DocumentCode :
1414554
Title :
Lattice-theoretic analysis of time-sequential sampling of spatiotemporal signals. I
Author :
Willis, N. Parker ; Bresler, Yoram
Author_Institution :
Cardiac Pathways Corp., Sunnyvale, CA, USA
Volume :
43
Issue :
1
fYear :
1997
fDate :
1/1/1997 12:00:00 AM
Firstpage :
190
Lastpage :
207
Abstract :
We consider the sampling of bandlimited spatiotemporal signals subject to the time-sequential (TS) constraint that only one spatial position can be sampled at any given time. Using the powerful techniques of lattice theory, we develop a new unifying theory linking TS sampling with generalized multidimensional sampling. The results have a geometric nature, involving simultaneous packing of the spectral and spatial supports in their respective domains. We provide a complete characterization of TS lattice patterns, and, extending the study to temporally nonuniform patterns, analyze their minimum and average temporal sampling rates. Unlike previous studies of TS sampling, our results apply to very general multidimensional spatial and spectral supports. We present tight bounds on the temporal parameters of those TS sampling patterns that produce zero aliasing error. The use of a TS sampler for bufferless source coding of spatiotemporal signals is considered as an attractive possibility
Keywords :
error analysis; lattice theory; signal sampling; source coding; spectral analysis; TS sampling; average temporal sampling rates; bandlimited spatiotemporal signals; bufferless source coding; generalized multidimensional sampling; lattice-theoretic analysis; minimum temporal sampling rates; packing; spatial position; spatial supports; spectral supports; temporally nonuniform patterns; time-sequential sampling; unifying theory; zero aliasing error; Data compression; Delay; Fourier transforms; Image reconstruction; Laser radar; Magnetic resonance imaging; Multidimensional systems; Sampling methods; Signal design; Spatiotemporal phenomena;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/18.567677
Filename :
567677
Link To Document :
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