Derive the full deravtion to obtain the optimum thershold

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Reference no: EM13275954

1- show the fourer transform of the output of the sampling process is the same as the one derived in class :
F[Xδ(t)]=1/Ts Σδ(f-nfs) ,o/p=Σx(t).δ(t-nfs)

2-derive the full deravtion to obtain the optimum thershold which will result in the end :
γ0=(a1+a2)/2

3- in the process of sampling an analog signal g(t) is multiplied by a periodic train of rectangular pulses c(t)each of unit area ,given that the pulse repetition frequency of this periodic train is fs and the duration of each rectangular pulse is T (with fsT<<1) , do the following :
a- find the spectrum of the signal s(t) that result from the sampling ?process you may assume that t=0 correspond to the midpoint of a rectangular pulse in c(t)
b- show that the original signal g(t) may be recovered exactly from its sampled version provided that the conditions embodied in the sampling theorm are satisfied.

Reference no: EM13275954

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