[1]
|
J. S. Lim, “Two-Dimensional Signal and Image Processing,” Prentice Hall, Upper Saddle River, 1990.
|
[2]
|
R. C. Gonzalez and R. E. Woods, “Digital Image Processing,” 3rd Edition, Prentice Hall, Upper Saddle River, 2007.
|
[3]
|
W. S. Lu, “Design of Stable 2-D IIR Digital Filters Using Iterative Semidefinite Programming,” Proceedings of ISCAS’00, Geneva, 28-31 May 2000, pp. 395-398.
|
[4]
|
W. S. Lu, “A Unified Approach for the Design of 2-D Digital Filters via Semidefinite Programming,” IEEE Transactions on Circuits and Systems, Vol. 49, June 2002, pp. 814-826. doi:10.1109/TCSI.2002.1010036
|
[5]
|
T. Kailath, “Linear Systems,” Prentice Hall, Upper Saddle River, 1981.
|
[6]
|
K. Premaratne, E. I. Jury and M. Mansour, “An Algorithm for Model Reduction of 2-D Discrete Time Systems,” IEEE Transactions on Circuits and Systems, Vol. 37, No. 9, 1990, pp. 1116-1132. doi:10.1109/31.57600
|
[7]
|
S. Y. Kung, B. C. Levi, M. Morf and T. Kailath, “New Results in 2-D Systems Theory, Part II: 2-D State-Space Models-Realization and the Notions of Controllability, Observability, and Minimality,” Proceedings of IEEE, Vol. 65, No. 6, 1977, pp. 945-961.
|
[8]
|
E. D. Sontag, “On First Order Equations for Multidimensional Filters,” IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 26, No. 5, 1978, pp. 480-482.
|
[9]
|
S. Attasi, “Modélisation et traitement des suites à deux indices,” Technical Report 31, INRIA, Le Chesnay, 1975.
|
[10]
|
J. L. Shanks, S. Treitel and J. H. Justice, “Stability and Synthesis of Tow-Dimensional Recursive Filters,” IEEE Transactions on Audio and Electroacoustics, Vol. 20, No. 2, 1972, pp. 115-128.
|
[11]
|
D. Givone and R. P. Roesser, “Minimization of Multidimensional Linear Iterative Circuits,” IEEE Transactions on Computers, Vol. 22, No. 7, 1973, pp. 673-678.
doi:10.1109/TC.1973.5009134
|
[12]
|
G. E. Antoniou, P. N. Paraskevopoulos and S. J. Varoufakis, “Minimal State-Space Realization of Factorable 2-D Transfer Function,” IEEE Transactions on Circuits and Systems, Vol. 35, No. 8, 1988, pp. 1055-1058.
doi:10.1109/31.1857
|
[13]
|
B. C. Moore, “Principal Component Analysis in Linear Systems: Controllability, Observability and Model Reduction,” IEEE Transactions on Automatic Control, Vol. 26, No. 1, 1981, pp. 17-32.
doi:10.1109/TAC.1981.1102568
|
[14]
|
W. S. Lu, H. Luo and A. Antonio, “Recent Results on Model Reduction Methods for 2-D Discrete Systems,” IEEE Symposium on Circuits and Systems, Atlanta, 12-15 May 1996, Vol. 2, pp. 348-351.
|
[15]
|
W.-S. Lu, E. B. Lee and Q. T. Zhang, “Balanced Approximation of Two-Dimensional and Delay Differential Systems,” International Journal of Control, Vol. 46, No. 6, 1987, pp. 2199-2218.
doi:10.1080/00207178708934043
|
[16]
|
W. Wang, K. Glover, J. C. Doyle and C. Beck, “Model Reduction of LFT Systems,” Proceedings of the 30th IEEE Conference on Decision and Control, Brighton, 11-13 December 1991, pp. 1233-1238.
doi:10.1109/CDC.1991.261574
|
[17]
|
K. Zhou, J. L. Aravena, G. Gu and D. Xiong, “Two-Dimensional System Model Reduction by Quasi-Balanced Truncation and Singular Perturbation,” IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, Vol. 41, No. 9, 1994, pp. 593-602.
doi:10.1109/82.326586
|
[18]
|
A. J. Laub, “On Computing Balancing Transformations,” Proceedings of JACC, San Francisco, Vol. 1, Paper FA8-E, 1980.
|
[19]
|
H. Luo, W. S. Lu and A. Antoniou, “Numerical Solution of the Two-Dimensional Lyapunov Equations and Application in Order Reduction of Recursive Digital Filters,” IEEE Pacific Rim Conference on Communications, Computers and Signal Processing, Victoria, 19-21 May 1993, pp. 232-235.
|
[20]
|
Matlab, “the Matworks?,” Ver. (R2009b).
|