Section A
Q1.
A random process Y(t) is obtained by multiplication of a stationary process X(t) with a sinusoidal wave cos(2πfct + θ) where the phase θ is a random variable that is uniformly distributed over the interval [0, 2π]. Express the power spectral density of random process Y(t) in terms of power spectral density of X(t). Assume that random variable θ is independent of X(t). Consider the system shown below:
Determine the steady state error due to unit step input and a step disturbance of 10 unit. Find out the time complexity of the following code segment: Determine the divergence of the vector field \vecA and evaluate them at the specified point: Use Euler path method to find out optimal gate ordering for the stick diagram and layout of CMOS implementation of the Boolean expression \overlineA(B + C) + DE. A bit stream 10011101 is received (LSB is received first). The transmitter is using standard CRC method with the generator polynomial x3 + 1. Show the actual bit stream transmitted. Show that the error is detectable at the receiver's side.
(a) Here G1(s) = (100(s + 5))/(s + 2) and G2(s) = (5)/(s(s + 4))
(a)
for (i = n/2; i < n; i++)
for (k = 1; k < i; k *= 2)
count += n * n;
(a) \vecA = \rho z sin \phi \hata_\rho + 3\rho z2 cos \phi \hata_\phi at (5, π/2, 1).
