Question

Consider the signal with amplitude spectrum shown, if the signal is sampled at a sampling period of 0.1 s. The peak amplitude of the spectrum of the sampled signal is _________.

• A. 100

Answer 1

The correct option is A 100
$Sampledspectrum=\frac{1}{T_s}\left[\sum _{n=-\infty }^{\infty }AX\right(\omega -n{\omega }_s\left)\right]$

$=\frac{A}{T_s}\sum _{n=-\infty }^{\infty }X(\omega -n{\omega }_s)$
Where
A is amplitude of the x(t)
$T_s$ is sampling time period

$\therefore Amplitudeofsampledspectrum=\frac{A}{T_s}=\frac{10}{0.1}=100$