Title :
On the period of sums of discrete periodic signals
Author :
Restrepo, Alfredo ; Chacón, Liliana P.
Author_Institution :
Dept. de Ingenieria Electr., Univ. de Los Andes, Bogota, Colombia
fDate :
7/1/1998 12:00:00 AM
Abstract :
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 least 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.
Keywords :
Fourier analysis; frequency-domain analysis; signal processing; spectral analysis; Fourier frequency domain; discrete periodic signals; greatest common divisor; least common multiple; period of sums; signal processing; spectral analysis; Frequency domain analysis;
Journal_Title :
Signal Processing Letters, IEEE
