Consider the system depicted in figure. The impulse response is given by
\(h\left( t \right) = \frac{{\sin \left( {11\pi t} \right)}}{{\pi t}}\)
if \(x\left( t \right) = \mathop \sum \limits_{k = 1}^\infty \frac{1}{{{k^2}}}\cos \left( {k5\pi t} \right)\) and
\(g\left( t \right) = \mathop \sum \limits_{k = 1}^{10} \cos \left( {k8\pi t} \right)\)
then y (t) is
1
\(\frac{1}{2}\cos 3\pi t + \frac{1}{8}\cos 2\pi t\)
2
\(\frac{1}{2}\sin 3\pi t + \frac{1}{8}\cos 2\pi t\)
3
\(\frac{1}{2}\sin 3\pi t - \frac{1}{8}\cos 2\pi t\)
4
\(\frac{1}{2}\cos 3\pi t + \frac{1}{8}\sin 2\pi t\)