Unified theory of time-sequential sampling

Yoram Bresler; Nathaniel Parker Willis

doi:10.1117/12.143139

8 April 1993 Unified theory of time-sequential sampling

Yoram Bresler, Nathaniel Parker Willis

Proceedings Volume 1903, Image and Video Processing; (1993) https://doi.org/10.1117/12.143139
Event: IS&T/SPIE's Symposium on Electronic Imaging: Science and Technology, 1993, San Jose, CA, United States

Abstract

We consider the sampling of band-limited spatio-temporal signals subject to the time- sequential (TS) constraint that only one spatial sample can be taken at a given time. Using the powerful techniques of lattice theory, we develop a new unifying theory linking TS sampling with generalized multidimensional sampling. The theory, which applies to arbitrary spatial and spectral supports in any dimension, includes tight fundamental performance bounds, which are asymptotically achievable. Simple graphical design algorithms are provided for lattice sampling patterns minimizing the sampling rates, and illustrated by examples.

Citation Download Citation

Yoram Bresler and Nathaniel Parker Willis "Unified theory of time-sequential sampling", Proc. SPIE 1903, Image and Video Processing, (8 April 1993); https://doi.org/10.1117/12.143139

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