Title:

# Matrix-Based Ramanujan-Sums Transforms

Chen, Guangyi, Krishnan, Sridhar and Bui, Tien D. (2013) Matrix-Based Ramanujan-Sums Transforms. IEEE Signal Processing Letters, 20 (10). pp. 941-944. ISSN 1070-9908

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Official URL: http://dx.doi.org/10.1109/LSP.2013.2273973

## Abstract

In this letter, we study the Ramanujan Sums (RS) transform by means of matrix multiplication. The RS are orthogonal in nature and therefore offer excellent energy conservation capability. The 1-D and 2-D forward RS transforms are easy to calculate, but their inverse transforms are not defined in the literature for non-even function $({rm mod}~ {rm M})$. We solved this problem by using matrix multiplication in this letter.

Divisions: Concordia University > Gina Cody School of Engineering and Computer Science > Computer Science and Software Engineering Article Yes Chen, Guangyi and Krishnan, Sridhar and Bui, Tien D. IEEE Signal Processing Letters 2013 10.1109/LSP.2013.2273973 Fourier transform (FT) Gaussian white noise Ramanujan Sums (RS) 977893 DANIELLE DENNIE 01 Oct 2013 19:39 18 Jan 2018 17:45

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