Estimation of signal subspace-constrained inputs to linear systems

Alex Fink; Andreas Spanias

doi:10.1109/ACSSC.2011.6190381

Estimation of signal subspace-constrained inputs to linear systems

Alex Fink, Andreas Spanias

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Conference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
Pages	2025-2028
Number of pages	4
DOIs	https://doi.org/10.1109/ACSSC.2011.6190381
State	Published - Dec 1 2011
Event	45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011 - Pacific Grove, CA, United States Duration: Nov 6 2011 → Nov 9 2011

Publication series

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

Other

Other	45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
Country/Territory	United States
City	Pacific Grove, CA
Period	11/6/11 → 11/9/11

Keywords

Input variables
deconvolution
recursive estimation
signal representations

ASJC Scopus subject areas

Signal Processing
Computer Networks and Communications

Access to Document

10.1109/ACSSC.2011.6190381

Cite this

Estimation of signal subspace-constrained inputs to linear systems. / Fink, Alex; Spanias, Andreas.
Conference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011. 2011. p. 2025-2028 6190381 (Conference Record - Asilomar Conference on Signals, Systems and Computers).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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., 6190381, Conference Record - Asilomar Conference on Signals, Systems and Computers, pp. 2025-2028, 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011, Pacific Grove, CA, United States, 11/6/11. https://doi.org/10.1109/ACSSC.2011.6190381

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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.",

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KW - deconvolution

KW - recursive estimation

KW - signal representations

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Estimation of signal subspace-constrained inputs to linear systems

Abstract

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Keywords

ASJC Scopus subject areas

Access to Document

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