A Bivariate Matrix Padé-Type Method of the 2-D Filters

Chuan Qing Gu; Rong Rong  Cui

doi:10.4028/www.scientific.net/AMR.756-759.3271

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 756-759A Bivariate Matrix Padé-Type Method of the 2-D...

A Bivariate Matrix Padé-Type Method of the 2-D Filters

Abstract:

In this paper,according to the special generating polynomial, a class of bivariate matrix Padé-type approximation (BMPTA) is given by introducing a bivariate matrix-valued linear functional on the scalar polynomial space.An application in state-space realization of the 2-D filters is also given in the end.

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Periodical:

Advanced Materials Research (Volumes 756-759)

Pages:

3271-3275

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.756-759.3271

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Online since:

September 2013

Authors:

Chuan Qing Gu, Rong Rong Cui

Keywords:

2-D Filters, Linear Functional, Matrix Bivariate Padé-Type Approximation

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References

[1] Baker G.A. and Graves-Morris P.R., Padé Approximation , Part II, , Addison-Wesley Publishing Company, (1981).

Google Scholar

[2] J.R. Cardoso, F.S. Leite, Padé and Gregory error estimates for the logarithm of block triangular matrices, Appl. Numer. Math., 56(2006) 253-267.

DOI: 10.1016/j.apnum.2005.04.003

Google Scholar

[3] N. K. Bose and S. Basu, Theory and recursive computation of 1-D matrix Padé approximants, IEEE Trans. Circuits Syst., CAS-27(1980)323-325.

DOI: 10.1109/tcs.1980.1084803

Google Scholar

[4] Chuan-qing Gu, A Practical Two-Dimensional Thiele-Type Matrix Padé Approximation, IEEE Transactions on Automatic Control, 48(2003), 2259-2263.

DOI: 10.1109/tac.2003.820163

Google Scholar

[5] C. Brezinski, Padé-type Approximation and General Orthogonal Polynomials, in: ISNM, 50Birkha user, Basel, (1980).

Google Scholar

[6] Chuan-qing Gu, Matrix Padé-type approximant and directional matrix Padé approximant in the inner product space,J. Comput. Appl. Math., 164-165(2004), 365-385.

DOI: 10.1016/s0377-0427(03)00487-4

Google Scholar

[7] Youtian Tao, Chuanqing Gu, A two-dimensional matrix Padé-type approximation in the inner product space, J. Comput. Appl. Math., 231(2009), 680-695.

DOI: 10.1016/j.cam.2009.04.013

Google Scholar

[8] C. Gu", Matrix valued rational approxinmation and applications in control theory", Shanghai University Doctor Thesis, (2004).

Google Scholar