The Fourier Transforms: Difference between revisions
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==== Linearity ==== |
==== Linearity ==== |
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<math>\mathcal{F}[a*x(t) + b*y(t)] = </math> |
<math>\mathcal{F}[a*x(t) + b*y(t)] = a*X(f) + b*Y(f)</math> |
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Revision as of 19:54, 11 October 2007
The Fourier transform was named after Joseph Fourier, a French mathematician. A Fourier Transform takes a function to its frequency components.
Properties of a Fourier Transform:
Properties of a Fourier Transform:
Linearity
![{\displaystyle {\mathcal {F}}[a*x(t)+b*y(t)]=a*X(f)+b*Y(f)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/286cb04cdacd549bdd10c6a24be8c36b2bea67a1)