Matrix-Based Ramanujan-Sums Transforms

被引：7

作者：

Chen, Guangyi ^{[1
,2
]}

Krishnan, Sridhar ^{[1
]}

Bui, Tien D. ^{[2
]}

机构：

[1] Ryerson Univ, Dept Elect & Comp Engn, Toronto, ON M5B 2K3, Canada

[2] Concordia Univ, Dept Comp Sci & Software Engn, Montreal, PQ H3G 1M8, Canada

来源：

IEEE SIGNAL PROCESSING LETTERS | 2013年 / 20卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Fourier transform (FT); Gaussian white noise; Ramanujan Sums (RS);

D O I：

10.1109/LSP.2013.2273973

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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 (mod M). We solved this problem by using matrix multiplication in this letter.

引用

页码：941 / 944

页数：4

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