DocumentCode :
48980
Title :
Matrix-Based Ramanujan-Sums Transforms
Author :
Chen, Gang ; Krishnan, Sridhar ; Bui, Tien D.
Author_Institution :
Department of Electrical and Computer Engineering, Ryerson University, Toronto, Canada
Volume :
20
Issue :
10
fYear :
2013
fDate :
Oct. 2013
Firstpage :
941
Lastpage :
944
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 
. We solved this problem by using matrix multiplication in this letter.
Keywords :
Energy conservation; Fourier transforms; White noise; Fourier transform (FT); Gaussian white noise; Ramanujan Sums (RS);
fLanguage :
English
Journal_Title :
Signal Processing Letters, IEEE
Publisher :
ieee
ISSN :
1070-9908
Type :
jour
DOI :
10.1109/LSP.2013.2273973
Filename :
6563143
Link To Document :
