Alfredo RestrepoLuis Chacon2026-03-222026-03-22199810.1109/97.700917https://doi.org/10.1109/97.700917https://andeanlibrary.org/handle/123456789/48468Citaciones: 16Unlike 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.enDiscrete frequency domainFrequency domainPeriod (music)Mathematical proofPeriodic functionMathematicsIntuitionFourier seriesDiscrete Fourier seriesFourier analysisarticle