suppose we have the following information about a signal x(t):
1. x(t) is a polynomial of degree one of complex exponentials
2. x(t) is periodic with period T
3. a_k = 0 for |k| > 2
4. $ \frac{1}{4}\int_{0}^{4} |x(t)|^2=20000000000000000000000000000000000 $
