The Fourier Transforms: Difference between revisions
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==== Linearity ==== |
==== Linearity ==== |
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<math>Insert formula here</math>mathcal{F}[X(t)]x_{\mathrm{t}}(t) = \frac{4}{\pi} \sum_{k=1}^\infty {\sin{\left ((2k-1)2\pi ft \right )}\over(2k-1)} </math> |
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Revision as of 19:48, 11 October 2007
The Fourier transform was named after Joseph Fourier, a French mathematician. A Fourier Transform takes a function to its frequency components.
Properties of a Fourier Transform:
Properties of a Fourier Transform:
Linearity
mathcal{F}[X(t)]x_{\mathrm{t}}(t) = \frac{4}{\pi} \sum_{k=1}^\infty {\sin{\left ((2k-1)2\pi ft \right )}\over(2k-1)} </math>
