The Fourier Transforms: Difference between revisions

Revision as of 20:54, 11 October 2007

The Fourier transform was named after Joseph Fourier, a French mathematician. A Fourier Transform takes a function to its frequency components.

${\mathcal {F}}[a*x(t)+b*y(t)]=a*X(f)+b*Y(f)$

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	==== Linearity ====		==== Linearity ====

	<math>\mathcal{F}[ax(t) + by(t)] = </math>		<math>\mathcal{F}[ax(t) + by(t)] = aX(f) + bY(f)</math>