2-D Laplace-Z Transformation*This project is supported by the National Natural Science Foundation of China under grant: 60572093 and Brain Pool Program of Korea under grant: 051S-3-5.

  • Authors:

  • Yang Xiao;Moon Ho Lee

  • Affiliations:

  • The author is with Institute of Information Science, Beijing Jiaotong University, Beijing 100044, China. E-mail: yxiao@center.njtu.edu.cn,;The author is with Institute of Information & Communication, Chonbuk National University, Jeonju 561-765, Korea. E-mail: moonho@chonbuk.ac.kr

  • Venue:
  • IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
  • Year:
  • 2006

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Abstract

Based on recent results for 2-D continuous-discrete systems, this paper 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 the paper. To verify the results of this paper, we also derived a numerical inverse 2-D Laplace-z transform, applying it to show the 2-D pulse response of a stable 2-D continuous-discrete system.