Consider a signal x(t) having bandwidth less than
B.
We sample x(t) at a rate
2B and pass into an Ideal low-pass filter
of bandwidth
B..
The signal x(t) and the signal () obtained by multiplying the signal by a periodic train of impulses, separated by , having strength 1 are shown below.
into an Ideal low-pass filter
of bandwidth
B.
.
) obtained by multiplying the signal by a periodic train of impulses, separated by 
, having strength 1 are shown below. 
