(New page: == Question == <font size="3">Supposing we are given a signal <math>x(t)</math> 1) <math>x(t)</math> is real and odd 2) <math>x(t)</math> is periodic with period <math>T = 5</math> and ...) |
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Revision as of 16:39, 24 September 2008
Question
Supposing we are given a signal $ x(t) $
1) $ x(t) $ is real and odd
2) $ x(t) $ is periodic with period $ T = 5 $ and has Fourier coefficients $ a_{k} $
3) $ a_{k}=0 $ for $ k<0 $ and $ k>2 $
4) $ \frac{1}{2}\int_{0}^{4}|x(t)|^2dt=1 $
Specify a signal that satisfies the given conditions.
Answer
