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Lecture 4: Exponential Fourier Spectra

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As for the trigonometric F.S. we can make a plot of the F.S. by plotting the magnitude and phase of the complex numbers. For the example above,

\begin{displaymath}D_0 = 1/2 \quad \vert D_0\vert = 1/2\quad \angle D_0 = 0
\begin{displaymath}D_1 = 1/\pi \quad \vert D_1\vert = 1/\pi \quad \angle D_1 = 0
\begin{displaymath}D_{-1} = 1/\pi \quad \vert D_{-1}\vert = 1/\pi \quad \angle D_{-1} = 0 \end{displaymath}
\begin{displaymath}D_{2} = 0 \quad D_{-2} = 0 \end{displaymath}

When plotting the spectrum, both positive and negative values of $n$ need, in general, to be plotted.

Copyright 2008, by the Contributing Authors. Cite/attribute Resource . admin. (2006, May 23). Lecture 4: Exponential Fourier Spectra. Retrieved January 07, 2011, from Free Online Course Materials — USU OpenCourseWare Web site: This work is licensed under a Creative Commons License Creative Commons License