Browsing by Autor "Luis Chacon"

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    On the period of sums of discrete periodic signals
    (Institute of Electrical and Electronics Engineers, 1998) Alfredo Restrepo; Luis 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.