Sparse system identification using orthogonal rational functions

Xiong Dan, Chai Li, Jingxin Zhang

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

9 Citations (Scopus)

Abstract

We consider the problem of reconstructing a real sparse coefficient θ of a transfer function under the orthogonal rational functions from a limit number of linear measurements. Given m randomly selected samples of Φθ, where Φ is a sample matrix constructed by orthogonal rational functions at samples in the unit circle, we show that ℓ1 minimization can recover the coefficient θ from the real part model or the imaginary part model for the real and imaginary part of Φ have the similar structure of the orthogonal matrix.
Original languageEnglish
Title of host publication2014 11th World Congress on Intelligent Control and Automation (WCICA)
EditorsHong Wang
Place of PublicationPiscataway NJ USA
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages2340 - 2345
Number of pages6
ISBN (Print)9781479958269
DOIs
Publication statusPublished - 2015
EventWorld Congress on Intelligent Control and Automation 2014 - Shenyang, China
Duration: 29 Jun 20144 Jul 2014
Conference number: 11th

Conference

ConferenceWorld Congress on Intelligent Control and Automation 2014
Abbreviated titleWCICA 2014
Country/TerritoryChina
CityShenyang
Period29/06/144/07/14

Keywords

  • Compressed sensing
  • Orthogonal rational function
  • System identification
  • TM basis

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