Signal reconstruction from a periodic nonuniform set of samples using H optimization

Ha T. Nguyen, Minh N. Do

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE-IS and T Electronic Imaging - Computational Imaging V
DOIs
StatePublished - 2007
EventComputational Imaging V - San Jose, CA, United States
Duration: Jan 29 2007Jan 31 2007

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6498
ISSN (Print)0277-786X

Other

OtherComputational Imaging V
Country/TerritoryUnited States
CitySan Jose, CA
Period1/29/071/31/07

Keywords

  • Filter design
  • Fractional delay
  • H optimization
  • IIR filter
  • Lifting
  • Model-matching
  • Polyphase
  • Super-resolution

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

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