DocumentCode :
767076
Title :
A direct approach to H2 optimal deconvolution of periodic digital channels
Author :
Zhou, Huan ; Xie, Lihua ; Zhang, Cishen
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
Volume :
50
Issue :
7
fYear :
2002
fDate :
7/1/2002 12:00:00 AM
Firstpage :
1685
Lastpage :
1698
Abstract :
This paper studies the H2 optimal deconvolution problem for periodic finite impulse response (FIR) and infinite impulse response (IIR) channels. It shows that the H2 norm of a periodic filter can be directly quantified in terms of periodic system matrices and linear matrix inequalities (LMIs) without resorting to the commonly used lifting technique. The optimal signal reconstruction problem is then formulated as an optimization problem subject to a set of matrix inequality constraints. Under this framework, the optimization of both the FIR and IIR periodic deconvolution filters can be made convex, solved using the interior point method, and computed by using the Matlab LMI Toolbox. The robust deconvolution problem for periodic FIR and IIR channels with polytopic uncertainties are further formulated and solved, also by convex optimization and the LMIs. Compared with the lifting approach to the design of periodic filters, the proposed approach is simpler yet more powerful in dealing with multiobjective deconvolution problems and channel uncertainties, especially for IIR deconvolution filter design. The obtained solutions are applied to the design of an optimal filterbank yielding satisfactory performance
Keywords :
FIR filters; IIR filters; channel bank filters; circuit CAD; circuit optimisation; deconvolution; digital filters; matrix algebra; network synthesis; signal reconstruction; FIR channels; FIR periodic deconvolution filters; H2 optimal deconvolution; IIR channels; IIR deconvolution filter design; IIR periodic deconvolution filters; Matlab LMI Toolbox; channel uncertainties; convex optimization; direct approach; interior point method; linear matrix inequalities; matrix inequality constraints; multiobjective deconvolution problems; optimal filterbank; optimal signal reconstruction; optimization problem; periodic digital channels; periodic finite impulse response channels; periodic infinite impulse response channels; periodic system matrices; polytopic uncertainties; Constraint optimization; Deconvolution; Finite impulse response filter; IIR filters; Linear matrix inequalities; Nonlinear filters; Optimization methods; Robustness; Signal reconstruction; Uncertainty;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/TSP.2002.1011209
Filename :
1011209
Link To Document :
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