Paper Info
Title
Two-Dimensional Frequency-Domain System Identification
Abstract
In 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 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\boldsymbol {O(n^{-\frac{1}{2}})}$</tex-math></inline-formula> . 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 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">${n}$</tex-math></inline-formula> -D case, <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">${n\geq 2}$</tex-math></inline-formula> .
Year
DOI
Venue
2020
10.1109/TAC.2019.2913047
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Approximation algorithms,Transfer functions,Signal processing algorithms,Barium,Dictionaries,Frequency-domain analysis,Matching pursuit algorithms
Journal
65
Issue
ISSN
Citations 
2
0018-9286
1
PageRank 
References 
Authors
0.35
11
4
Name
Order
Citations
PageRank
Xiaoyin Wang174929.19
Tao Qian211919.75
Iengtak Leong310.35
You Gao420.71