10/10,13,16,17 - Fourier Transform Properties: Difference between revisions
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|<math>=e^{-j\,2\pi f\,t_0}\,F[x(t)]</math> |
|<math>=e^{-j\,2\pi f\,t_0}\,F[x(t)]</math> |
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===??=== |
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|<math>F\left[e^{j\,2\pi f\,t}x(t)\right]</math> |
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|<math>=\int_{-\infty}^{\infty}\left[e^{j\,2\pi f_0\,t}x(t)\right]e^{-j\,2\pi f\,t}\,dt</math> |
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|<math>=\int_{-\infty}^{\infty}x(t)\,e^{-j\,2\pi (f-f_0)\,t}\,dt</math> |
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|<math>=X(f-f_0)\,\!</math> |
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Revision as of 18:08, 21 November 2008
Properties of the Fourier Transform
Linearity
Time Invariance (Delay)
Let and | ||