Question: A random process X(t) A cos(wt) + B sin(wt), where A and B are two random variables, then X(t) is stationary if O a.

A random process X(t) A cos(wt) + B sin(wt), where A and

A random process X(t) A cos(wt) + B sin(wt), where A and B are two random variables, then X(t) is stationary if O a. E[A? ] = E[B? ] %3! O b. E[AB] = 0 O c. All the mentioned O d. E[A] = E[B] = 0 %3D

Step by Step Solution

★★★★★

3.44 Rating (147 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a mean function mXt EXt EAcos t Bsin t EA cos t EB sin t ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

A random process X (t) consists of three- member functions: x1 (t) = 1 x2 (t) = 3, and x3(t) = sin (2t). Each member function occurs with equal probability. (a) Find the mean function, X (t). (b)...

A random process X (t) has the following member functions: x1 (t) = 2cos (t), x2 (t) = 2sin(t) x3 (t) = 2[cos( t) + sin(t)] x4(t) = [cos (t) sin(t)]. Each member function occurs with equal...

A random process X (t) is said to be mean square continuous at some point in time t, if (a) Prove that X (t) is mean square continuous at time if its correlation function RX, X (t1, t2), is...

A random process is given by X (t) = A cos (t) + B sin (t), where A and B are independent zero- mean random variables. (a) Find the mean function, X (t). (b) Find the autocorrelation function, RX,X...

5 . X 41 = A cos( wet + $)+ B Sin (wet+ $) where A and B are independent random variables with EL A J = EL B ] ZO and ECA'S = ECP's = 12 we and of are constants. (1) E{X(t)} = (a) 1 (b) 2 (c) 0 (d)...

If r(t) = a cos t + b sin t, where a and b are constant vectors, show that r(t) x r'(t) = a X b.

hello i need help with the following questions please and thank you. ULL 5.) According to the Guiness Book of World Records, the longest home run ever measured was hit by Roy Carlyle in a minor...

If r(t) = a cos t + b sin t, where a and b are constant vectors, show that r(t) r'(t) = a b.

Let the position of a swinging pendulum in simple harmonic motion be given by s t a cos t b sin t where a and b are constants t measures time in seconds and s measures position in centimeters If the...

1 Point The electric field in a region of space is given by E(:c, y) 2 E0 (cos 0:71. i sin 05y), where E0 and a are constants. I (i) Find the electric potential difference V(L,.O) V(O, 0). _ iillf a...

ABC Company has a note payable that is due six months after its year end. Under which of the following conditions will ABC be able to classify the note as a long term debt. ABC cannot classify the...

Complete the given JavaScript code in the window.onload event handler below, adding the following functionality to all unordered list elements: when the mouse moves over the element, your code...

Q2 Based on your graphical and numerical analysis in Q1, which method -- 1.5(IQR) or 3(SD) -- is more appropriate to remove outliers from the `departure delay` variable? Remove outliers for...

Imagine you are halfway through a project and there will be a 50% audit conducted externally on your project. 1. Imagine you are the project manager and you know that this audit is coming. What would...

ASSIGNMENT: For this assignment, you will serve in the hypothetical role of HR Specialist and external consultant who is tasked with developing a performance evaluation strategy for the job on which...

this final course assignment, you are going to assemble all elements of your hypothetical business that you have been working on throughout the course into one thoughtfully planned portfolio. This...

Rinehart corporation purchased from its stockholders 5,500 shares of its own previously issued stock for $280,500. It later resold 1,775 shares for $54 per share, then 1,775 more shares for $49 per...

Complete the equations for the following equilibria and calculate Keq where the Keq expression includes [HO]. Be sure to enter Keq in proper scientific notation. (a) ammonia (acting as a base) reacts...

For the conditions of Exercise 7 and the data in Table 11.1, carry out a test of the following hypotheses: H0: 2 = 0, H1: 2 = 0.

Suppose that a point (X, Y) is chosen at random from the circle S defined as follows: S = {(x, y): x2 + y2 1}. a. Determine the joint p.d.f. of X and Y, the marginal p.d.f. of X, and the marginal...

For the conditions of Exercise 10 and the data in Table 11.30, test the following hypotheses: H0 : 2 1, H1 : 2 > 1.

What is a flow-through entity, and what effect does this designation have on how business entities and their owners are taxed?

Tiffany and Carlos decided to liquidate their jointly owned corporation, Royal Oak Furniture (ROF). After liquidating its remaining inventory and paying off its remaining liabilities, ROF had the...

Why do publicly-traded corporations use a triangular form of Type A reorganization in acquiring other corporations?