Estimation of signal subspace-constrained inputs to linear systems

Alex Fink, Andreas Spanias

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

1 Scopus citations

Abstract

Estimation of inputs to deterministic linear systems is of interest in applications from target tracking to sound resynthesis. Considering prior information about inputs, such as the time-limited nature of striking a musical instrument, estimates may be made to meet known constraints. This paper presents a method of estimating, based on noisy observations, inputs in terms of a basis expansion, where the inputs are known a priori to be constrained to a signal subspace. It is shown how input estimates may be obtained via least-squares estimation, including recursive algorithms. Simulation results are given to show the improvement of estimation where constraints are known. Additionally, application to sound resynthesis is presented.

Original languageEnglish (US)
Title of host publicationConference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
Pages2025-2028
Number of pages4
DOIs
StatePublished - Dec 1 2011
Event45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011 - Pacific Grove, CA, United States
Duration: Nov 6 2011Nov 9 2011

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers
ISSN (Print)1058-6393

Other

Other45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
CountryUnited States
CityPacific Grove, CA
Period11/6/1111/9/11

Keywords

  • Input variables
  • deconvolution
  • recursive estimation
  • signal representations

ASJC Scopus subject areas

  • Signal Processing
  • Computer Networks and Communications

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  • Cite this

    Fink, A., & Spanias, A. (2011). Estimation of signal subspace-constrained inputs to linear systems. In Conference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011 (pp. 2025-2028). [6190381] (Conference Record - Asilomar Conference on Signals, Systems and Computers). https://doi.org/10.1109/ACSSC.2011.6190381