GATE Papers >> ECE >> 2010 >> Question No 54

Question No. 54 ECE | GATE 2010

Consider a baseband binary PAM receiver shown below. The additive channel noise n(t) is whit with power spectral density Sk(f)=N0/2=10-20 W/Hz. The low-pass is ideal with unity gain and cutoff frequency  1MHZ Let Yk represent  the random variable y(tk)

Yk=Nk   if transmitted bit bk=0

 Yk=a+N if transmitted bit bk=1

Where Nk represents the noise sample value. The noise sample has a probability density function PNk(n)=0.5αe-α|n| (This has mean zero and variance 2/α2) Assume transmitted bits to be equiprobable and thresold Z is set to a/2=10-6v

The value of the parameter α(in  V-1) is

Answer : (B) 107

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