TY - GEN
T1 - Range-space based identification of parametric linear systems
AU - Yarkony, Elad
AU - Baryshnikov, Yuliy
AU - Bresler, Yoram
PY - 2016/8/1
Y1 - 2016/8/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84991818993&partnerID=8YFLogxK
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U2 - 10.1109/IVMSPW.2016.7528192
DO - 10.1109/IVMSPW.2016.7528192
M3 - Conference contribution
AN - SCOPUS:84991818993
T3 - 2016 IEEE 12th Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016
BT - 2016 IEEE 12th Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 12th IEEE Image, Video, and Multidimensional Signal Processing Workshop, IVMSP 2016
Y2 - 11 July 2016 through 12 July 2016
ER -