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A Band pass signal has a spectral range that extends from 30KHZ to75KHZ. Find the sampling frequency?
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f1 = 30 kHZ and f2= 75 kHZ

Therefore, Bandwidth B = f2f1 = 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.

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