How Does the Fourier Transform Relate to f(t-a) and Its Calculation?

Thread starter spaghetti3451
Start date May 31, 2011
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Fourier Fourier transform Transform

May 31, 2011

spaghetti3451

I have to show that the Fourier transform of f(t-a) is exp(-iwa)*F(w).

Any headstart?

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May 31, 2011

micromass

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Hi failexam!

Apply substitution u=t-a in the integral.

May 31, 2011

spaghetti3451

I see, but then F(w) is not the Fourier transform of f(t), but of f(t-a) !

May 31, 2011

micromass

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I don't see that, can you make the calculation? It'll turn out nicely...

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