inverse 2-D Laplace-z transform
The program can get spatial-time response of 2-D Continuous-Discrete systems by taking inverse 2-D Laplace-z transform [1]. The detailed algorithm is provided in Ref. [1].
Copyright (C) Yang XIAO, BJTU, July 28, 2007, E-Mail: yxiao@bjtu.edu.cn.
Based on recent results for 2-D continuous-discrete systems, Ref. [1] develops 2-D Laplace-z transform, which can be used to analyze 2-D continuous-discrete signals and system in Laplace-z hybrid domain. Current 1-D Laplace transformation and z transform can be combined into the new 2-D s-z transform. However, 2-D s-z transformation is not a simple extension of 1-D transform, in 2-D case, we need consider the 2-D boundary conditions which don’t occur in 1-D case. The hybrid 2-D definitions and theorems are given in Ref. [1]. This program is derived from the numerical inverse 2-D Laplace-z transform, it shows the 2-D pulse response of a stable 2-D continuous-discrete system.
Ref:
[1] Y. Xiao and M. –H. Lee, “2-D Laplace-Z Transformation”, IEICE TRANS. FUNDAMENTALS, VOL. E89-A, No. 5, May, 2006, pp.1500-1504.
The paper [1] can be downloaded from Web Site of IEICE.
Cite As
Yang Xiao (2024). inverse 2-D Laplace-z transform (https://www.mathworks.com/matlabcentral/fileexchange/15725-inverse-2-d-laplace-z-transform), MATLAB Central File Exchange. Retrieved .
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- Signal Processing > Signal Processing Toolbox > Transforms, Correlation, and Modeling > Transforms > z-transforms >
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