TY - GEN
T1 - Estimation of signal subspace-constrained inputs to linear systems
AU - Fink, Alex
AU - Spanias, Andreas
PY - 2011/12/1
Y1 - 2011/12/1
N2 - 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.
AB - 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.
KW - Input variables
KW - deconvolution
KW - recursive estimation
KW - signal representations
UR - http://www.scopus.com/inward/record.url?scp=84861318488&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84861318488&partnerID=8YFLogxK
U2 - 10.1109/ACSSC.2011.6190381
DO - 10.1109/ACSSC.2011.6190381
M3 - Conference contribution
AN - SCOPUS:84861318488
SN - 9781467303231
T3 - Conference Record - Asilomar Conference on Signals, Systems and Computers
SP - 2025
EP - 2028
BT - Conference Record of the 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
T2 - 45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
Y2 - 6 November 2011 through 9 November 2011
ER -