The Development of Discrete Version of Laplace Transformation (Sigma (σ) Transformation) Obtained from the Relationship between Laplace and Fourier Transformations
laplace transformation, fourier transformation, relationships, analysis, discrete, sigma (σ) transformation
Abstract
The relationships between Laplace and Fourier transformations are studied very closely. It is observed that Fourier transformation can be obtained from Laplace transformation but the reverse is not true. Based on this, a generic mathematical analysis leads to an expression relating Laplace transformation to Fourier transformation. Further mathematical analysis from that expression leads to something quite new: The Discrete Version of Laplace transformation, which the author calls sigma (σ) transformation.
Downloads
- Article PDF
- TEI XML Kaleidoscope (download in zip)* (Beta by AI)
- Lens* NISO JATS XML (Beta by AI)
- HTML Kaleidoscope* (Beta by AI)
- DBK XML Kaleidoscope (download in zip)* (Beta by AI)
- LaTeX pdf Kaleidoscope* (Beta by AI)
- EPUB Kaleidoscope* (Beta by AI)
- MD Kaleidoscope* (Beta by AI)
- FO Kaleidoscope* (Beta by AI)
- BIB Kaleidoscope* (Beta by AI)
- LaTeX Kaleidoscope* (Beta by AI)
How to Cite
References
Iii Disteffano, J. (2009) Feedback and Control Systems.
J. Ejimanya (2005) Communication Electronics. 361-362.
R. Gabel (2010) Signals & Linear Systems. 126-132.
E. Kreyszig (2005) Advanced Engineering Mathematics.
Canada Toronto (2009) Control Systems Engineering. 2, 65-66.
New Ltd, India (2009) Discrete-Time Control systems. 2, 677-678.
K. Ogata (2010) Modern Control Engineering, 2nd ed. 24-39.
Alexandra Schuster Ltd, Block A, Singapore Pasir Pangjang Road (2011) Mathematical Methods for Science Students.
Language Book Society, Longman. 449-450.
Published
2013-03-18
Issue
Section
License
Copyright (c) 2013 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.