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Proceedings Paper

Practices of irregular sampling
Author(s): Michael Begonia; Shidong Li
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Paper Abstract

Based on a frame theoretical formulation of irregular sampling, conditions on sampling points are derive. Our formulation and sampling conditions are applicable to all subspaces (e.g. shift invariant, Gabor, bandlimited and bandpass subspaces). A focus is paid to the implementation of the algorithm in general. The method starts from constructing a pair of frame for a selected subspace, with which a sequence of sampling functions is fabricated based on a set of given irregular sampling points. The (irregular) sampling reconstruction is implemented through a frame-based iterative algorithm, which is guaranteed to converge. A matlab package with a graphic user interface will be provided for users to view demos as well as try their own sampling reconstruction problem. Users are also allowed to construct their own subspaces. Parameters, sampling points and signals may all be entered by users. The program will automatically check for the fulfillment of the sampling conditions and provide a reconstruction of the signal. We believe that this is a useful tool for studies and practices of irregular samplings.

Paper Details

Date Published: 20 November 2001
PDF: 8 pages
Proc. SPIE 4474, Advanced Signal Processing Algorithms, Architectures, and Implementations XI, (20 November 2001); doi: 10.1117/12.448652
Show Author Affiliations
Michael Begonia, San Francisco State Univ. (United States)
Shidong Li, San Francisco State Univ. (United States)

Published in SPIE Proceedings Vol. 4474:
Advanced Signal Processing Algorithms, Architectures, and Implementations XI
Franklin T. Luk, Editor(s)

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