Composing a Signal
1. x(t) is even and real.
2. x(t) has period N=12.
3. $ a_0=4 $
4. $ \frac{1}{4}\int_{0}^{3} |x(t)|^2 = 5 $
Answer
$ x(t)= 4cos(\frac{\pi}{6}x) $
1. x(t) is even and real.
2. x(t) has period N=12.
3. $ a_0=4 $
4. $ \frac{1}{4}\int_{0}^{3} |x(t)|^2 = 5 $
$ x(t)= 4cos(\frac{\pi}{6}x) $