inverse 2-D z transform for 2-D recursive discrete system (Scripts) Publisher's description
from Yang Xiao
The program can get the 2-D impulse response of a 2-D recursive discrete system in 2-D digital domain
The program can get the 2-D impulse response of a 2-D recursive discrete system in 2-D digital domain. For a 2-D recursive discrete system, the inverse 2-D z transform can be implemented by a 2-D IIR filter [1-3].
Copyright (C) Yang XIAO, Beijing Jiaotong University, Aug.1, 2007, E-Mail: firstname.lastname@example.org.
Resort to the theorems in Ref. [1-3], we can get a stable 2-D recursive discrete system, with stable transfer function H(z1,z2)=A(z1,z2)/B(z1,z2) in 2-D z-domain. Since the transfer function is stable, the 2-D impulse response h(n1,n2) of the system equals the solution of a 2-D IIR filter to process a unit impulse in 2-D digital domain . Then this program can get the 2-D impulse response of a given 2-D recursive discrete system in 2-D digital domain if the system is stable.
The stability test for the two examples is provided in Ref [1-3]. In the two examples, the program verifies the convergence of the 2-D impulse response, here, one is of stable denominator polynomial, and the other is of an unstable one. According to the theorems in [1-3], the stability of the systems is depended on that of the denominator polynomial B(z1,z2), the program let us to observe the stability from the 2-D impulse responses of the two systems.
 XIAO Yang, Unbehauen R. вЂњNew stability test algorithm for two-dimensional digital filtersвЂќ, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Volume 45, Issue 7, July 1998 Page(s):739 - 741
 Yang XIAO, Unbehauen R. вЂњSchur stability of polytopes of bivariate polynomialsвЂќ, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Volume 49, Issue 7, July 2002 Page(s):1020 вЂ“ 1023.
 XIAO Yang, Stability Analysis of Multidimensional Systems, Shanghai Science and Technology Press, Shanghai, 2003.
The papers  and  can be downloaded from Web site of IEEE Explore.
System Requirements:MATLAB 6.5.1 (R13SP1)
Program Release Status: New Release
Program Install Support: Install and Uninstall