Transfer function computation for multidimensional systems

Multidimensional Systems and Signal Processing

Volumn 13, Issue 4, 2002, Pages 419-426

  Antoniou, George E ^a  

^a MONTCLAIR STATE UNIVERSITY   (United States)

Author keywords

Algorithm; Fourier transform; Multidimensional systems; Systems theory

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DISCRETE FOURIER TRANSFORMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; POLYNOMIALS; STATE SPACE METHODS; TRANSFER FUNCTIONS;

ADJOINT POLYNOMIAL MATRIX; DETERMINANTAL POLYNOMIAL; FORNASINI-MARCHESINI STATE SPACE MODEL; MULTIDIMENSIONAL SYSTEMS; SOFTWARE PACKAGE MATLAB;

SYSTEM THEORY;

EID: 0036794945     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019936615341     Document Type: Article

References (13)

1. N.K. Bose, Applied Multidimensional Systems Theory, Van Nostrand, 1982.
2. T. Venkateswarlu and C. Eswaran, "Realization of Multidimensional Digital Transfer Functions with Separable Numerator and Denominator Polynomials," Multidimensional Systems and Signal Processing, vol. 10, 1999, pp. 201-211.
3. T. Venkateswarlu, C. Eswaran, and A. Antoniou, "Realization of Multidimensional Digital Transfer Functions," Multidimensional Systems and Signal Processing, vol. 1, 1990. pp. 179-198.
4. K. Galkowski, "State Space Realizations on N-D systems," Wroclaw Technical University, Monograph No. 76, 1994.
5. G.E. Antoniou, "Minimal State Space Realization of Multidimensional Systems Using Continued Fraction Expansions," Control Theory and Advanced Technology, vol. 7, no. 1, 1991, pp. 129-145.
6. G.E. Antoniou, S.J. Varoufakis, and P.N. Paraskevopoulos, "M-Dimensional Continued Fraction Inversion," IEE Proceedings, Part G, vol. 136, pt. G, no. 6, 1989, pp. 307-312.
7. N.E. Mastorakis, "Approximate Stable Multidimensional Polynomial Factorization into Linear m-D Polynomial Factors," Kybernetika, vol. 32, no. 3, 1996, pp. 275-288.
8. N.E. Mastorakis, "Multidimensional Spectral Factorization Through the Reduction Method of Multidimensional Polynomial Factorization," Journal of Applied Mathematics and Computer Science, vol. 5, no. 1, 1995, pp. 11-19.
9. G.O. Glentis, et al., "Transfer Function Determination of Multidimensional Singular Systems Using the FFT," Inter. J. Systems Science, vol. 24, no. 1, 1993, pp. 211-218.
10. E. Fornasini and E. Marchesini, "Doubly Indexed Dynamical Systems: State Space Models and Structural Properties," Math. System Theory, vol. 12, no. 1, 1978, pp. 59-72.
11. G.E. Antoniou, G.O.A. Glentis, S.J. Varoufakis, and D.A. Karras, "Transfer Function Determination of Singular Systems Using the DFT," IEEE Trans. Circuit Syst., vol. CAS-36, 1989, pp. 1140-1142.
12. D.E. Dudgeon and R.M. Mersereau, Multidimensional Digital Signal Processing, Prentice Hall, 1984.
13. T. Kaczorek, Linear Control Systems, John Wiley Publishers, vol. 2, 1993.