On the period of sums of discrete periodic signals

被引：8
|
作者：
Restrepo, A [1 ]
Chacon, LP [1 ]
机构：
[1] Univ Los Andes, Dept Ingn Elect, Bogota, Colombia
来源：
IEEE SIGNAL PROCESSING LETTERS | 1998年 / 5卷 / 07期
关键词：
D O I：
10.1109/97.700917
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：
Unlike the continuous case, given two discrete periodic signals, their sum is always periodic. We give a characterization for the period of the sum; as shown, the Beast common multiple of the periods of the signals being added is not necessarily the period of the sum. Number theoretical proofs are given for the sake of rigor; examples and an interpretation in the Fourier frequency domain are given for the sake of intuition and applications.
引用
收藏
页码：164 / 166
页数：3
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