UM
Two-dimensional frequency-domain system identification
Wang,Xiaoyin1; Qian,Tao2; Leong,Iengtak1; Gao,You3
2020-02-01
Source PublicationIEEE Transactions on Automatic Control
ISSN0018-9286
Volume65Issue:2Pages:577-590
AbstractIn this paper, we propose two iterative algorithms to identify transfer functions of two-dimensional (2-D) systems. The proposed algorithms are modifications of the 2-D adaptive Fourier decomposition (AFD) and weak pre-orthogonal adaptive Fourier decomposition (W-POAFD). 2-D AFD and W-POAFD are newly established adaptive representation theories for multivariate functions utilizing, respectively, the product-TM system and the product-Szegö dictionary. The proposed algorithms give rise to rational approximations with real coefficients to transfer functions. Owing to the modified maximal selection principles, the algorithms achieve a fast convergence rate O(n-1/2). To use 2-D AFD and W-POAFD for system identification not only the theory is revised, but also the practical algorithm codes are provided. Experimental examples show that the proposed algorithms give promising results. The theory and algorithms studied in this paper are valid for any n-D case, n ≥ 2.
KeywordGeneralized partial backward shift operator matching pursuit modified maximal selection principle multidimensional rational approximation product-Szegö dictionary product-TM system two-dimensional (2-D) system identification
DOI10.1109/TAC.2019.2913047
URLView the original
Language英语
Fulltext Access
Citation statistics
Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorQian,Tao
Affiliation1.Department of Mathematics,Faculty of Science and Technology,University of Macau,999078,Macao
2.Macau Institute of Systems Engineering,Macau University of Science and Technology,999078,Macao
3.School of Mathematics,Sun Yat-sen University,Zhuhai,519000,China
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Wang,Xiaoyin,Qian,Tao,Leong,Iengtak,et al. Two-dimensional frequency-domain system identification[J]. IEEE Transactions on Automatic Control,2020,65(2):577-590.
APA Wang,Xiaoyin,Qian,Tao,Leong,Iengtak,&Gao,You.(2020).Two-dimensional frequency-domain system identification.IEEE Transactions on Automatic Control,65(2),577-590.
MLA Wang,Xiaoyin,et al."Two-dimensional frequency-domain system identification".IEEE Transactions on Automatic Control 65.2(2020):577-590.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Wang,Xiaoyin]'s Articles
[Qian,Tao]'s Articles
[Leong,Iengtak]'s Articles
Baidu academic
Similar articles in Baidu academic
[Wang,Xiaoyin]'s Articles
[Qian,Tao]'s Articles
[Leong,Iengtak]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Wang,Xiaoyin]'s Articles
[Qian,Tao]'s Articles
[Leong,Iengtak]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.