An input signal \(\rm x(t) = 2 + 5 \sin{(100πt)}\) is sampled with a sampling frequency of \(\rm 400\ Hz\) and applied to the system whose transfer function is represented by\(\rm \frac{{Y\left( z \right)}}{{X\left( z \right)}} = \frac{1}{N}\left( {\frac{{1 - {z^{ - N}}}}{{1 - {z^{ - 1}}}}} \right)\)where, \(\rm N\) represents the number of samples per cycle. The output \(\rm y[n]\) of the system under steady state is

An input signal \(\rm x(t) = 2 + 5 \sin{(100πt)}\) is sampled with a

1.	An input signal \(\rm x(t) = 2 + 5 \sin{(100πt)}\) is sampled with a sampling frequency of \(\rm 400\ Hz\) and applied to the system whose transfer function is represented by\(\rm \frac{{Y\left( z \right)}}{{X\left( z \right)}} = \frac{1}{N}\left( {\frac{{1 - {z^{ - N}}}}{{1 - {z^{ - 1}}}}} \right)\)where, \(\rm N\) represents the number of samples per cycle. The output \(\rm y[n]\) of the system under steady state is
A.	\(\rm 0\)
B.	\(\rm 1\)
C.	\(\rm 2\)
D.	\(\rm 5\)
Answer» D. \(\rm 5\)