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On the period of sums of discrete periodic signals

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2 Author(s)
A. Restrepo ; Dept. de Ingenieria Electr., Univ. de Los Andes, Bogota, Colombia ; L. P. Chacon

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.

Published in:

IEEE Signal Processing Letters  (Volume:5 ,  Issue: 7 )