On the period of sums of discrete periodic signals

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dc.contributor.authorAlfredo Restrepo
dc.contributor.authorLuis Chacon
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T14:46:30Z
dc.date.available2026-03-22T14:46:30Z
dc.date.issued1998
dc.descriptionCitaciones: 16
dc.description.abstractUnlike 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.
dc.identifier.doi10.1109/97.700917
dc.identifier.urihttps://doi.org/10.1109/97.700917
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/48468
dc.language.isoen
dc.publisherInstitute of Electrical and Electronics Engineers
dc.relation.ispartofIEEE Signal Processing Letters
dc.sourceUniversidad de Los Andes
dc.subjectDiscrete frequency domain
dc.subjectFrequency domain
dc.subjectPeriod (music)
dc.subjectMathematical proof
dc.subjectPeriodic function
dc.subjectMathematics
dc.subjectIntuition
dc.subjectFourier series
dc.subjectDiscrete Fourier series
dc.subjectFourier analysis
dc.titleOn the period of sums of discrete periodic signals
dc.typearticle

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