2008•Unpublished venueRequires access
About Fourier series in study of periodic signals
Mioara Boncuţ, Amelia Bucur
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Abstract
This work is about Fourier Series in study of Periodic Signals. A periodic function can be represented by means of Fourier series, which contains all the information about the harmonic structure. The Fourier series is an infinite sum of sinusoidal and cosenoidal terms, however, when the series is truncated, a high frequency phenomenon appears superimposed to the resulting finite Fourier expansion, referred as Gibbs oscillations. In this paper, such a phenomenon is analyzed for a function which is m times differentiable. The case m = 0 is studied in a discontinuous functions.