2-D Laplace-Z Transformation

Yang XIAO; Moon Ho LEE

doi:10.1093/ietfec/e89-a.5.1500

2-D Laplace-Z Transformation

Yang XIAO, Moon Ho LEE

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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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.5 pp.1500-1504

Publication Date: 2006/05/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.5.1500

Type of Manuscript: LETTER

Category: Digital Signal Processing

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Yang XIAO, Moon Ho LEE, "2-D Laplace-Z Transformation" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 5, pp. 1500-1504, May 2006, doi: 10.1093/ietfec/e89-a.5.1500.
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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.5.1500/_p

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@ARTICLE{e89-a_5_1500,
author={Yang XIAO, Moon Ho LEE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={2-D Laplace-Z Transformation},
year={2006},
volume={E89-A},
number={5},
pages={1500-1504},
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.},
keywords={},
doi={10.1093/ietfec/e89-a.5.1500},
ISSN={1745-1337},
month={May},}

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TY - JOUR
TI - 2-D Laplace-Z Transformation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1500
EP - 1504
AU - Yang XIAO
AU - Moon Ho LEE
PY - 2006
DO - 10.1093/ietfec/e89-a.5.1500
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2006
AB - 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.
ER -