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• W2941205156 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-Szego 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 $boldsymbol {O(n^{-frac{1}{2}})}$ . 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, ${ngeq 2}$ ." @default.
• W2941205156 created "2019-05-03" @default.
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• W2941205156 date "2020-02-01" @default.
• W2941205156 modified "2023-10-17" @default.
• W2941205156 title "Two-Dimensional Frequency-Domain System Identification" @default.
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• W2941205156 doi "https://doi.org/10.1109/tac.2019.2913047" @default.
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