Multi-Dimensional Rajan Transform

1
K. Thiagarajan
K. Thiagarajan
2
Manish Prateek
Manish Prateek
3
Ethirajan Govindarajan
Ethirajan Govindarajan

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GJCST Volume 20 Issue G6

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In this paper, we describe the formulation of a novel transform called Multi-Dimensional Rajan Transform, which is an extension of Rajan Transform. Basically, Rajan Transform operates on a number sequence, whose length is a power of two. It transforms any sequence of arbitrary numbers into a sequence of interrelated numbers. As regards 2D Rajan Transform, there are two methods to implement it: (i) Row-Column method and (ii) Column-Row method. The 2D Rajan Transform obtained using the first method need not be the same as that obtained using second method. Similarly, one can implement 3-D Rajan Transform using the following approaches: (i) Row-Column-Depth approach, (ii) Row-Depth-Column approach, (iii) Column-Row-Depth approach, (iv) Column-Depth-Row approach, (v) Depth-Row-Column approach and (vi) Depth-Column-Row approach. This paper explains these approaches to implement two and three dimensional Rajan Transforms.

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References

  1. K Sudha,B Shenbagabalakrishnan,T Chitravel,T Kumar (2020). Systematic long-term investigation on Cu2ZnCdS4 wide band gap semiconducting materials for optics and luminescence applications.

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No external funding was declared for this work.

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The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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k._thiagarajan. 2021. \u201cMulti-Dimensional Rajan Transform\u201d. Global Journal of Computer Science and Technology - G: Interdisciplinary GJCST-G Volume 20 (GJCST Volume 20 Issue G6): .

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GJCST Volume 20 Issue G6
Pg. 19- 27
Journal Specifications

Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

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GJCST-G Classification: F.2.1
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v1.2

Issue date

January 8, 2021

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English

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Multi-Dimensional Rajan Transform

K. Thiagarajan
K. Thiagarajan
Manish Prateek
Manish Prateek
Ethirajan Govindarajan
Ethirajan Govindarajan

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