Signals and systems/GF Fourier: Difference between revisions

Revision as of 21:05, 28 October 2006

The Fourier series is used to analyze arbitrary periodic functions by showing them as a composite of sines and cosines.

A function is considered periodic if $x(t)=x(t+T)\,$ for $T\neq 0$ .

Remember that $e^{j\theta }=cos\theta +jsin\theta \,$

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 The Fourier series is used to analyze arbitrary periodic functions by showing them as a composite of sines and cosines.
-A function is considered periodic if <math> x(t) \equiv x(t+T) </math> for <math> T \neq 0 </math>.
+A function is considered periodic if <math> x(t) = x(t+T)\, </math> for <math> T \neq 0 </math>.
-<math>e^j theta) = cos </math>
+Remember that <math>e^{j\theta} = cos \theta + jsin \theta \, </math>