Paper Info
Title
Interpolation-based matrix pencil method for parameter estimation of dispersive media in civil engineering
Abstract
In this paper, we propose a modified matrix pencil method for the problem of time delay estimation in dispersive media obeying a particular frequency power law, namely, the constant-Q model. Being based on a Vandermonde decomposition of the prediction matrix, the matrix pencil method produces biased estimates when applied directly to data of the constant-Q model. The proposed approach allows to compensate for the bias inherent to the classical method by restoring the Vandermonde structure via a spline-interpolation technique. The restoration involves an iterative procedure where each iteration selects a set of interpolated samples depending on the value of the quality factor of the previous iteration. The algorithm is tested on simulated data representing radar acquisitions over a stratified dispersive medium, and its performance is assessed against the Cramer-Rao lower bound.
Year
DOI
Venue
2010
10.1016/j.sigpro.2010.03.003
Signal Processing
Keywords
Field
DocType
civil engineering,interpolation-based matrix pencil method,matrix pencil method,ground penetrating radar,vandermonde decomposition,classical method,crlb,previous iteration,simulated data,dispersive media,prediction matrix,time delay estimation,constant-q model,frequency power law,parameter estimation,modified matrix pencil method,vandermonde structure,depth-invariant q -model,lower bound,spline interpolation,power law,quality factor,matrix pencil
Radar,Cramér–Rao bound,Mathematical optimization,Matrix pencil,Matrix (mathematics),Upper and lower bounds,Interpolation,Vandermonde matrix,Estimation theory,Mathematics
Journal
Volume
Issue
ISSN
90
8
Signal Processing
Citations 
PageRank 
References 
3
0.44
7
Authors
3
Name
Order
Citations
PageRank
Khaled Chahine161.19
Vincent Baltazart2478.01
Yide Wang333447.29