What is meant by a stationary random process? Describe an example of a nonstationary random signal, and sketch 2 or 3 example sample functions for your nonstationary random process/signal.
What is meant by a stationary random process? Describe an example of a nonstationary random signal,...
2. Consider the random process x(t) defined by x(t) a cos(wt + 6).where w and a are constants, and 0 is a random variable uniformly distributed in the range (-T, ) Sketch the ensemble (sample functions) representing x(t). (2.5 points). a. b. Find the mean and variance of the random variable 0. (2.5 points). Find the mean of x(t), m (t) E(x(t)). (2.5 points). c. d. Find the autocorrelation of x(t), R (t,, t) = E(x, (t)x2 (t)). (5 points)....
2. Consider the random process x(t) defined by x(t) a cos(wt 6), where w and 0 are constants, and a is a random variable uniformly distributed in the range (-A, A). a. Sketch the ensemble (sample functions) representing x(t). (2.5 points). b. Find the mean and variance of the random variable a. (5 points). c. Find the mean of x(t), m(t) E((t)). (5 points). d. Find the autocorrelation of x(t), Ra (t1, t2) E(x (t)x2 )). (5 points). Is the...
1. Describe what is meant by an excise tax. Give an example. What is meant by the incidence of a tax?
Describe what is meant by an excise tax. Give an example. What is meant by the incidence of a tax? What is the impact of an excise tax on quantity and price? Provide a detailed example. What happens when an excise tax is paid mainly by consumers? Describe what happens when an excise tax is paid mainly by producers? What are the costs of taxation? Provide a detailed discussion. Describe how deadweight loss changes when supply is elastic and inelastic...
2. (30 points) Let X(t) be a wide-sense stationary (WSS) random signal with power spectral density S(f) = 1011(f/200), and let y(t) be a random process defined by Y(t) = 10 cos(2000nt + 1) where is a uniformly distributed random variable in the interval [ 027]. Assume that X(t) and Y(t) are independent. (a) Derive the mean and autocorrelation function of Y(t). Is Y(t) a WSS process? Why? (b) Define a random signal Z(t) = X(t)Y(t). Determine and sketch the...
For each of the following first construct an example and then show that it has the correct properties: (a) (Xt) with constant mean but has a variance that is a function of time. (b) (Wt) white noise process that is not strongly stationary. (c) (Zt) is nonstationary process with an autocovariance function such that γ(t, t) = σ 2 for all t. (d) (Vt) is nonstationary with an autocovariance function such that γ(t, t+ h) = 0 for all |h|...
Describe what is meant by “structure, process, and outcome” in assessing of the quality of medical care. Give some examples of each dimension. How are the three dimensions related?
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?
7. X(n) is a zero- discrete-time random process. following input-output relationship: zn) -0.95 mean, stationary, identically and independently, Gaussian distributed white The sample functions of this process is filtered according to the n( zn-1)+x(n) (5 points). Write the MATLAB code for the computation of autocorrelation of the processes X(n) and Z(n) by repeating the experiment 100 times. (5 points). b. 7. X(n) is a zero- discrete-time random process. following input-output relationship: zn) -0.95 mean, stationary, identically and independently, Gaussian distributed...
Please solve this. 8.18 A discrete random process is defined by where φ is a uniform rndom variable in the range of-π to π. (a) Sketch a typical sample function of X b) Are its mean and variance constants (i.e., independent of k)7 (e) Is X Je] stationary (d) Is it mean ergodic? 8.18 A discrete random process is defined by where φ is a uniform rndom variable in the range of-π to π. (a) Sketch a typical sample function...