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Proceedings Paper

Signal reconstruction from a periodic nonuniform set of samples using H(infinity) optimization
Author(s): Ha T. Nguyen; Minh N. Do
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Paper Abstract

We study the problem of signal reconstruction from a periodical nonuniform set of samples. The considered system takes samples of delayed versions of a continuous signal at low sampling rate, with different fractional delays for different channels. We design IIR synthesis filters so that the overall system approximates a sampling system of high sampling rate using techniques from model-matching problem in control theory with available software (such as Matlab). Unlike traditional signal processing methods, our approach uses techniques from control theory which convert systems with fractional delays into H-norm-equivalent discrete-time systems. The synthesis filters are designed so that they minimize the H(infinity) norm of the error system. As a consequence, the induced error is uniformly small over all (band-limited and band-unlimited) input signals. The experiments are also run for synthesized images.

Paper Details

Date Published: 28 February 2007
PDF: 12 pages
Proc. SPIE 6498, Computational Imaging V, 649814 (28 February 2007); doi: 10.1117/12.715504
Show Author Affiliations
Ha T. Nguyen, Univ. of Illinois at Urbana-Champaign (United States)
Minh N. Do, Univ. of Illinois at Urbana-Champaign (United States)


Published in SPIE Proceedings Vol. 6498:
Computational Imaging V
Charles A. Bouman; Eric L. Miller; Ilya Pollak, Editor(s)

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