Range-space based identification of parametric linear systems

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

Abstract

Range-space based identification aims at the recovery of a linear system (e.g multi-FIR channel identification for deblurring) by its output span, and constraints on its structure, often given by explicit parameterization. A key question for this inverse problem is under what conditions the recovered system is unique. When the parametrization is polynomial, algebraic geometry is a natural apparatus to analyze this problem. In this paper, we show that the collection of all non-identifiable parameters form an algebraic variety in the parameter space, which under certain conditions is nowhere dense. This allows to develop a simple numerical test to guarantee identifiability of certain parametric families of linear systems.

Original languageEnglish (US)
Title of host publication2016 IEEE 12th Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509019298
DOIs
StatePublished - Aug 1 2016
Event12th IEEE Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016 - Bordeaux, France
Duration: Jul 11 2016Jul 12 2016

Publication series

Name2016 IEEE 12th Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016

Other

Other12th IEEE Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016
CountryFrance
CityBordeaux
Period7/11/167/12/16

Keywords

  • Algebraic Geometry
  • Blind Deconvolution
  • Channel Equalization
  • Identification

ASJC Scopus subject areas

  • Media Technology
  • Signal Processing

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  • Cite this

    Yarkony, E., Baryshnikov, Y., & Bresler, Y. (2016). Range-space based identification of parametric linear systems. In 2016 IEEE 12th Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016 [7528192] (2016 IEEE 12th Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IVMSPW.2016.7528192