Range-space based identification of parametric linear systems

Elad Yarkony, Yuliy Baryshnikov, Yoram Bresler

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抄録

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.

本文言語英語
ホスト出版物のタイトル2016 IEEE 12th Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016
出版社Institute of Electrical and Electronics Engineers Inc.
ISBN(電子版)9781509019298
DOI
出版ステータス出版済み - 8 1 2016
外部発表はい
イベント12th IEEE Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016 - Bordeaux, フランス
継続期間: 7 11 20167 12 2016

出版物シリーズ

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

会議

会議12th IEEE Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016
Countryフランス
CityBordeaux
Period7/11/167/12/16

All Science Journal Classification (ASJC) codes

  • Media Technology
  • Signal Processing

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