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GATE 2024 Communication System Foundation Quiz 37
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Question 1
The PDF of a random variable is fx(x) = ke–bx for x > 0
= 0 for x < 0, and k, b > a
Then k = bP, what is value of P?
Question 2
An LTI system has a wide-sense stationary (WSS) input signal with zero mean. Its output is
Question 3
Consider a random process x(t) and its derivative 
. Assume that the derivatives are well defined. The cross correlation function Rxx(t1, t2) is
. Assume that the derivatives are well defined. The cross correlation function Rxx(t1, t2) isQuestion 4
Consider a matched filter which is matched to the following signal s(t).
Question 5
A random binary wave y(t) is given by
Where p(t) = u(t) – u(t –T), u(t) is the unit function and f is an independent random variable with uniform distribution in [0, T]. The sequence {Xn} consists of independent and identically distributed binary valued random variables with P{Xn = +1} = P{Xn = –1} = 0.5 for each n.
The value of autocorrelation
equals______.
Where p(t) = u(t) – u(t –T), u(t) is the unit function and f is an independent random variable with uniform distribution in [0, T]. The sequence {Xn} consists of independent and identically distributed binary valued random variables with P{Xn = +1} = P{Xn = –1} = 0.5 for each n.
The value of autocorrelation
equals______.- 30 attempts
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