1. Find the power spectrum of the random process with autocorrelation function - 0, otherwise. Problem...
PROBLEM # 1 Random signal I(), having a power spectrum is applied to a single pole low pass filter frequency response Hjo) . The filter response is denoted by Y(t). a) Find the average power in X() b) Find the autocorrelation and power spectrum of process Y(t). c) Find the average power in Y(). d) Repeat part (c) for H(jo)
I. The autocorrelation function of a random signal is R(r) !-ⓞrect rect a. Find the power spectral density of the signal. b. Plot the amplitude of the power spectral density with Matlab (Let Ts -2) c. Find the null-to-null bandpass bandwidth, and the 0-to-null baseband bandwidth (in terms of Ts).
Determine and plot the autocorrelation function rxx[l] of the
signal 1, 0≤n≤N−1
x[n] = 0, otherwise .
Determine and plot the autocorrelation function r] of the signal x[n] = 0, otherwise
1) Random Processes: Suppose that a wide-sense stationary Gaussian random process X (t) is input to the filter shown below. The autocorrelation function of X(t) is 2xx (r) = exp(-ary Y(t) X(t) Delay a) (4 points) Find the power spectral density of the output random process y(t), ΦΥΥ(f) b) (1 points) What frequency components are not present in ΦYYU)? c) (4 points) Find the output autocorrelation function Фуу(r) d) (1 points) What is the total power in the output process...
Problem 5 A Wide-sense stationary random process X(t), with mean value 10 and power spectrum Sxx = 15078(0) +3/[1 + (0/2)?] is applied to a network with impulse response h(t) = 10exp(-4/11) Find (a) H(o) for the network (b) the mean value of the response (C) Syy(Q), the power spectrum of the response
Q.6 Determine the autocorrelation function and power spectral density of the random process olt)= m(t) cos(21f t+), where m(t) is wide sense stationary random process, and is uniformly distributed over (0,2%) and independent of m(t).
5. A stationary random process V (t) having an autocorrelation function Sin(101) Rv.v. (1) - is applied to the network shown below T 692 4 MF 1 mH a) Find Sv.v,(w). b) Find |H(w)|? c) Find Sv.v.(w).
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function of Y(t)
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function...
Let X(t) be a wide-sense stationary random process with the autocorrelation function : Rxx(τ)=e-a|τ| where a> 0 is a constant. Assume that X(t) amplitude modulates a carrier cos(2πf0t+θ), Y(t) = X(t) cos(2πf0t+θ) where θ is random variable on (-π,π) and is statistically independent of X(t). a. Determine the autocorrelation function Ryy(τ) of Y(t), and also give a sketch of it. b. Is y(t) wide-sense stationary as well?
A random process X(t) has an autocorrelation function Rxx (T) = 9 + 2e-1| If X(t) defined in question 11 is the input to a system having an impulse response h(t) = e-stu(t), where is a positive constant Find the mean value of the output process