The Fourier Transforms: Difference between revisions

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.

$mathcal{F}[X(t)]x_{\mathrm {t} }(t)={\frac {4}{\pi }}\sum _{k=1}^{\infty }{\sin {\left((2k-1)2\pi ft\right)} \over (2k-1)}$

Revision as of 19:48, 11 October 2007 (view source) 172.20.18.233 (talk) (→‎Linearity) ← Older edit		Revision as of 19:48, 11 October 2007 (view source) 172.20.18.233 (talk) (→‎Linearity) Newer edit →
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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>		<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>