Title
Ramanujan Sums as Derivatives and Applications.
Abstract
In 1918, S. Ramanujan defined a family of trigonometric sums now known as Ramanujan sums. In this letter, we define a class of operators based on the Ramanujan sums termed here as Ramanujan class of operators. We then prove that these operators possess properties of first derivative and with a particular shift, of second derivative also. Applications of Ramanujan class of operators for edge detect...
Year
DOI
Venue
2018
10.1109/LSP.2017.2721966
IEEE Signal Processing Letters
Keywords
Field
DocType
Image edge detection,Estimation,Noise level,Kernel,Signal processing,Presses
Kernel (linear algebra),Trigonometry,Signal processing,Mathematical optimization,Second derivative,Ramanujan's sum,Edge detection,Derivative,Pure mathematics,Operator (computer programming),Mathematics
Journal
Volume
Issue
ISSN
25
3
1070-9908
Citations 
PageRank 
References 
1
0.37
0
Authors
3
Name
Order
Citations
PageRank
Devendra Kumar Yadav112.40
Gajraj Kuldeep210.37
Shiv Dutt Joshi39913.93