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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.
K. Thiagarajan, Manish Prateek, Ethirajan Govindarajan. 2021. "Multi-Dimensional Rajan Transform". Global Journal of Computer Science and Technology, Global Journal of Computer Science and Technology - G: Interdisciplinary GJCST-G Volume 20 (GJCST Volume 20 Issue G6).
Crossref Journal DOI 10.17406/gjcst
Print ISSN 0975-4350
e-ISSN 0975-4172
v1.2
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Total Score: 143
Country: Unknown
Subject: Global Journal of Computer Science and Technology
Authors: K. Thiagarajan, Manish Prateek, Ethirajan Govindarajan, (PhD/Dr. count: 0)
View Count (all-time): 505
Total Views (Real + Logic): 911
Total Downloads (simulated): 69
Publish Date: 2020 01, Wed
Monthly Totals (Real + Logic):
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