@inproceedings{2062f69204ea4561ac85de99c76867e2,
title = "Signal reconstruction from a periodic nonuniform set of samples using H∞ optimization",
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∞ 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.",
keywords = "Filter design, Fractional delay, H optimization, IIR filter, Lifting, Model-matching, Polyphase, Super-resolution",
author = "Nguyen, {Ha T.} and Do, {Minh N.}",
year = "2007",
doi = "10.1117/12.715504",
language = "English (US)",
isbn = "0819466115",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
booktitle = "Proceedings of SPIE-IS and T Electronic Imaging - Computational Imaging V",
note = "Computational Imaging V ; Conference date: 29-01-2007 Through 31-01-2007",
}