Title
Blind adaptation of stable discrete-time IIR filters in state-space form
Abstract
Blind deconvolution consists of extracting a source sequence and impulse response of a linear system from their convolution. In the presence of system zeros close to the unit circle, which give rise to very long impulse responses, infinite-impulse-response (IIR) adaptive structures are of use, whose adaptation should be carefully designed in order to guarantee stability. In this paper, we propose a blind-type discrete-time IIR adaptive filter structure realized in state-space form that, with a suitable parameterization of its coefficients, remains stable. The theory is first developed for a two-pole filter, whose numerical behavior is investigated via numerical experiments. The proposed structure/adaptation theory is then extended to a multipole structure realized as a cascade of two-pole filters. Computer-based experiments are proposed and discussed, which aim at illustrating the behavior of the filter cascade on several cases of study. The numerical results obtained show the proposed filters remain stable during adaptation and provide satisfactory deconvolution results
Year
DOI
Venue
2006
10.1109/TSP.2006.874807
IEEE Transactions on Signal Processing
Keywords
Field
DocType
numerical behavior,blind adaptation,two-pole filter,numerical experiment,multipole structure,proposed filter,state-space form,numerical result,adaptive structure,adaptation theory,stable discrete-time iir filter,proposed structure,filter cascade,adaptive filters,linear systems,iir filter,digital filters,numerical analysis,closed form solution,finite impulse response filter,adaptive filter,image restoration,deconvolution,feature extraction,infinite impulse response,discrete time,linear system,impulse response,intersymbol interference,state space,blind deconvolution
Impulse response,Digital filter,Blind deconvolution,Linear system,Control theory,Infinite impulse response,Deconvolution,2D Filters,Adaptive filter,Mathematics
Journal
Volume
Issue
ISSN
54
7
1053-587X
Citations 
PageRank 
References 
4
0.49
12
Authors
1
Name
Order
Citations
PageRank
Simone Fiori149452.86