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Revision as of 16:00, 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

69

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