Signal reconstruction from a periodic nonuniform set of samples using <i>H</i><sub>&#8734;</sub> optimization

Ha T. Nguyen; Minh N. Do

doi:10.1117/12.715504

28 February 2007 Signal reconstruction from a periodic nonuniform set of samples using H_(infinity) optimization

Ha T. Nguyen, Minh N. Do

Proceedings Volume 6498, Computational Imaging V; 649814 (2007) https://doi.org/10.1117/12.715504
Event: Electronic Imaging 2007, 2007, San Jose, CA, United States

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.

Citation Download Citation

Ha T. Nguyen and Minh N. Do "Signal reconstruction from a periodic nonuniform set of samples using H_(infinity) optimization", Proc. SPIE 6498, Computational Imaging V, 649814 (28 February 2007); https://doi.org/10.1117/12.715504

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