10/09 - Fourier Transform: Difference between revisions

Revision as of 02:21, 17 November 2008

$⟨ e^{j 2 π n t / T} ∣ e^{j 2 π m t / T} ⟩$	$= \int_{- \infty}^{\infty} e^{j 2 π n t / T} e^{- j 2 π m t / T} d t$
	$= \int_{- \infty}^{\infty} e^{j 2 π (n - m) t / T} d t$

This is undefined due to the limits. The notes say that the integral = T, but no limits were defined. How would you know to do -T/2 to T/2?

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-==Fourier Transform==
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 *This is undefined due to the limits. The notes say that the integral = T, but no limits were defined. How would you know to do -T/2 to T/2?
+==Fourier Transform==