Abstract | ||
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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 |
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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 Yadav | 1 | 1 | 2.40 |
Gajraj Kuldeep | 2 | 1 | 0.37 |
Shiv Dutt Joshi | 3 | 99 | 13.93 |