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A Band pass signal has a spectral range that extends from 30KHZ to75KHZ. Find the sampling frequency?
1 Answer
written 8.8 years ago by |
f1 = 30 kHZ and f2= 75 kHZ
Therefore, Bandwidth B = f2–f1 = 75-30 = 45 kHZ…………..(1)
Let us assume that fS=2B =2*45 = 90 kHZ………………..(2)
From equation (1) and (2) we observe that neither f1 nor f2 is harmonically related to fS. Hence we have to use the general bandpass sampling theorem stated as follows:
If a bandpass signal x (t) has a bandwidth “B” and the highest frequency “fM” then x (t)
can be recovered from its sampled version if fS=(2fM)k where k is the largest integer not
exceeding fMB .All higher sampling rates are not necessarily usable unless they exceed 2 fM.