SURVEY OF VARIOUS Z-DOMAIN TO S-DOMAIN TRANSFORMATIONS.

Tapan K. Sarkar; N. Radhakrishna; Huanqun Chen

doi:10.1109/TIM.1986.6499125

SURVEY OF VARIOUS Z-DOMAIN TO S-DOMAIN TRANSFORMATIONS.

Tapan K. Sarkar, N. Radhakrishna, Huanqun Chen

Department of Electrical Engineering & Computer Science

Research output: Contribution to journal › Conference Article › peer-review

2 Scopus citations

Abstract

The unity in diversity of the various Z-domain to S-domain transformations is studied to achieve three objectives. The first is to find under what conditions they yield similar results. The various transformations include impulse invariant, step invariant, bilinear transformation, and ramp invariant transformations. The second objective is to find out under what conditions the continuous differential equation describing the system may be approximated by a difference equation for all the various Z-domain transformations. The third objective is to find out under what assumptions the discrete version of the impulse response becomes a sampled version of the continuous response. Numerical results are also presented to study the degree of accuracy of various approximations as a function of the samplinig rate.

Original language	English (US)
Pages (from-to)	508-520
Number of pages	13
Journal	IEEE Transactions on Instrumentation and Measurement
Volume	IM-35
Issue number	4
DOIs	https://doi.org/10.1109/TIM.1986.6499125
State	Published - 1986
Event	Sel Pap IMTC/86 -Third Annu Instrum and Meas Technol Conf - Boulder, CO, USA Duration: Mar 25 1986 → Mar 27 1986

ASJC Scopus subject areas

Instrumentation
Electrical and Electronic Engineering

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10.1109/TIM.1986.6499125

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title = "SURVEY OF VARIOUS Z-DOMAIN TO S-DOMAIN TRANSFORMATIONS.",

abstract = "The unity in diversity of the various Z-domain to S-domain transformations is studied to achieve three objectives. The first is to find under what conditions they yield similar results. The various transformations include impulse invariant, step invariant, bilinear transformation, and ramp invariant transformations. The second objective is to find out under what conditions the continuous differential equation describing the system may be approximated by a difference equation for all the various Z-domain transformations. The third objective is to find out under what assumptions the discrete version of the impulse response becomes a sampled version of the continuous response. Numerical results are also presented to study the degree of accuracy of various approximations as a function of the samplinig rate.",

author = "Sarkar, {Tapan K.} and N. Radhakrishna and Huanqun Chen",

year = "1986",

doi = "10.1109/TIM.1986.6499125",

language = "English (US)",

volume = "IM-35",

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journal = "IEEE Transactions on Instrumentation and Measurement",

issn = "0018-9456",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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note = "Sel Pap IMTC/86 -Third Annu Instrum and Meas Technol Conf ; Conference date: 25-03-1986 Through 27-03-1986",

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TY - JOUR

T1 - SURVEY OF VARIOUS Z-DOMAIN TO S-DOMAIN TRANSFORMATIONS.

AU - Sarkar, Tapan K.

AU - Radhakrishna, N.

AU - Chen, Huanqun

PY - 1986

Y1 - 1986

N2 - The unity in diversity of the various Z-domain to S-domain transformations is studied to achieve three objectives. The first is to find under what conditions they yield similar results. The various transformations include impulse invariant, step invariant, bilinear transformation, and ramp invariant transformations. The second objective is to find out under what conditions the continuous differential equation describing the system may be approximated by a difference equation for all the various Z-domain transformations. The third objective is to find out under what assumptions the discrete version of the impulse response becomes a sampled version of the continuous response. Numerical results are also presented to study the degree of accuracy of various approximations as a function of the samplinig rate.

AB - The unity in diversity of the various Z-domain to S-domain transformations is studied to achieve three objectives. The first is to find under what conditions they yield similar results. The various transformations include impulse invariant, step invariant, bilinear transformation, and ramp invariant transformations. The second objective is to find out under what conditions the continuous differential equation describing the system may be approximated by a difference equation for all the various Z-domain transformations. The third objective is to find out under what assumptions the discrete version of the impulse response becomes a sampled version of the continuous response. Numerical results are also presented to study the degree of accuracy of various approximations as a function of the samplinig rate.

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DO - 10.1109/TIM.1986.6499125

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EP - 520

JO - IEEE Transactions on Instrumentation and Measurement

JF - IEEE Transactions on Instrumentation and Measurement

IS - 4

T2 - Sel Pap IMTC/86 -Third Annu Instrum and Meas Technol Conf

Y2 - 25 March 1986 through 27 March 1986

ER -

SURVEY OF VARIOUS Z-DOMAIN TO S-DOMAIN TRANSFORMATIONS.

Abstract

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