Question

A band pass signal extends from 1 khz to 2 khz. the minimum sampling frequency needed toretain all information in the sampled signal is

Answer 1

Answer:

fs = 2khz

Explanation:

Concept: Minimum sampling frequency needed to retain all information in the sampled signal is given by

fs ≥ 2fh/k

where k = [fh/fh-fs]

(where [ .] represents the floor function)

Given: fh = 2khz

           fs = 1khz

Step by step explanation:

fh = 2khz     fs = 1khz

fh - fs = (2 - 1) = 1khz

k = [fh/fh-fs]        (FORMULA)

∴ k = [2/1]

∴ k = 2

Now for minimum sampling frequency-

fs ≥ 2fh/k            (FORMULA)

∴ fs ≥ 2(2)/2

∴ fs ≥ 2khz

Hence, Minimum sampling frequency needed to retain all information in the sampled signal is 2khz (Answer)

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