Consider the example of discrete time (DT) processing of continuous time (CT) si
ID: 2268104 • Letter: C
Question
Consider the example of discrete time (DT) processing of continuous time (CT) signal we discussed in Friday lecture, where we had a low-pass filter DT LTI system. Suppose that the input z(t) and the DT LTI system (i.e., H(e) are fixed to the examples we used in the lecture. What would happen to the output yr (t) if the sampling frequency grows to infinity? (a) The value of yr(t) at all time points will converge to zero. (b) The value of yr(t) at all time points will grow to infinity. (c) yr(t) will become x(t) O (a) O (b)Explanation / Answer
option (C) is Correct.
As sampling frequency tends to infinity, sampling interval will become 0 because sampling interval is inversely proportional to the sampling frequency. if sampling interval is zero, then there will be huge number of points will be taken into account which will further provide the the original.
In actual, original signal and sampled signal with infinite number of points are same. Thus yr(t) will become x(t)