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

Tapan Kumar Sarkar, N. Radhakrishna, Huanqun Chen

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)508-520
Number of pages13
JournalIEEE Transactions on Instrumentation and Measurement
VolumeIM-35
Issue number4
StatePublished - Dec 1986

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Difference equations
Impulse response
Differential equations
impulses
difference equations
ramps
unity
differential equations
approximation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Instrumentation

Cite this

Sarkar, T. K., Radhakrishna, N., & Chen, H. (1986). SURVEY OF VARIOUS Z-DOMAIN TO S-DOMAIN TRANSFORMATIONS. IEEE Transactions on Instrumentation and Measurement, IM-35(4), 508-520.

SURVEY OF VARIOUS Z-DOMAIN TO S-DOMAIN TRANSFORMATIONS. / Sarkar, Tapan Kumar; Radhakrishna, N.; Chen, Huanqun.

In: IEEE Transactions on Instrumentation and Measurement, Vol. IM-35, No. 4, 12.1986, p. 508-520.

Research output: Contribution to journalArticle

Sarkar, TK, Radhakrishna, N & Chen, H 1986, 'SURVEY OF VARIOUS Z-DOMAIN TO S-DOMAIN TRANSFORMATIONS.', IEEE Transactions on Instrumentation and Measurement, vol. IM-35, no. 4, pp. 508-520.
Sarkar, Tapan Kumar ; Radhakrishna, N. ; Chen, Huanqun. / SURVEY OF VARIOUS Z-DOMAIN TO S-DOMAIN TRANSFORMATIONS. In: IEEE Transactions on Instrumentation and Measurement. 1986 ; Vol. IM-35, No. 4. pp. 508-520.
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