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
