The Development of Discrete Version of Laplace Transformation (Sigma (If) Transformation) Obtained from the Relationship Between Laplace and Fourier Transformations

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Umana Itaketo
Umana Itaketo
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Dr. Umana Thompson Itaketo
Dr. Umana Thompson Itaketo
α University of Uyo University of Uyo

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The Development of Discrete Version of Laplace Transformation (Sigma (If) Transformation) Obtained from the Relationship Between Laplace and Fourier Transformations

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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.

References

7 Cites in Article
  1. J Ejimanya (2005). Communication Electronics.
  2. R Gabel (2010). Signals & Linear Systems.
  3. E Kreyszig (2005). Advanced Engineering Mathematics.
  4. Alok Katiyar,Sheikh Manihar Ahmed (2009). Effect of Transient Surge on Electronic Instrument and system with different Suppressing Techniques.
  5. K Ogata (2009). Discrete-Time Control systems.
  6. K Ogata (2010). Modern Control Engineering.
  7. G Stephen (2011). Referencias.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Umana Itaketo. 2013. \u201cThe Development of Discrete Version of Laplace Transformation (Sigma (If) Transformation) Obtained from the Relationship Between Laplace and Fourier Transformations\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F3): .

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Issue Cover
GJSFR Volume 13 Issue F3
Pg. 47- 55
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

May 6, 2013

Language
en
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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.

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The Development of Discrete Version of Laplace Transformation (Sigma (If) Transformation) Obtained from the Relationship Between Laplace and Fourier Transformations

Dr. Umana Thompson Itaketo
Dr. Umana Thompson Itaketo

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