Title
Finite-Frequency Model Reduction of Two-Dimensional Digital Filters
Abstract
This technical note is concerned with the model reduction problem of two-dimensional (2-D) digital filters over finite-frequency ranges. The 2-D digital filter is described by the Fornasini-Marchesini local state-space (FM LSS) model. With the aid of the generalized Kalman-Yakubovich-Popov (GKYP) lemma for 2-D systems, sufficient conditions for the finite-frequency model reduction problem are derived. Compared with full-frequency methods, the proposed finite-frequency method can get a better approximation performance over finite-frequency ranges. An example is given to demonstrate the effectiveness of the proposed method.
Year
DOI
Venue
2015
10.1109/TAC.2014.2359305
Automatic Control, IEEE Transactions
Keywords
Field
DocType
Reduced order systems,Symmetric matrices,Frequency modulation,Mathematical model,Approximation error,Optimization
Technical note,Digital filter,Control theory,Symmetric matrix,Frequency modulation,Approximation error,Mathematics,Lemma (mathematics)
Journal
Volume
Issue
ISSN
60
6
0018-9286
Citations 
PageRank 
References 
15
0.65
4
Authors
3
Name
Order
Citations
PageRank
Da-Wei Ding11818.36
Xin Du212726.78
Xiaoli Li37611.26