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Lecture 5: Review of Fourier Series Formulas

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Schedule :: Fourier Series Formulas :: Nonperiodic Functions :: Useful Functions :: Simple Functions :: Fourier Transforms :: Properties :: System Analysis :: Signal Distortion :: Filters :: Parseval's Formulas

Let $f(t)$ be periodic with period $T_0$. Then

\begin{displaymath}\boxed{f(t) = \sum_n D_n e^{j n \omega_0 t} } \end{displaymath}
where $\omega_0 = 2\pi/T_0$ and

\begin{displaymath}\boxed{D_n = \frac{1}{T_0} \int_{T_0} f(t) e^{-j n \omega_0 t} \,dt.} \end{displaymath}
Copyright 2008, by the Contributing Authors. Cite/attribute Resource. admin. (2006, May 26). Lecture 5: Review of Fourier Series Formulas. Retrieved November 23, 2009, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Electrical_and_Computer_Engineering/Signals_and_Systems/5_1node1.html. This work is licensed under a Creative Commons License. Creative Commons License
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