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

页码：164 / 166

页数：3

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