Question: Consider a random process X (t) defined by X (t) = sin (2fct), in which the frequency f c is a random variable uniformly distributed

Consider a random process X (t) defined by X (t) = sin (2πfct), in which the frequency f c is a random variable uniformly distributed over the interval [0, W]. Show that X (t) is non-stationary

Step by Step Solution

★★★★★

3.47 Rating (183 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To show that the random process Xt sin2pi fc t with fc uniformly distributed over the interval 0 W is nonstationary we need to demonstrate that its st... 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

Document Format (1 attachment)

19-E-T-E-C-S (1).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering 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) is defined by X (t) = A cos (2? f c t), where A is a Gaussian-distributed random variable of zero means variance ?2A. This random process is applied to an ideal integrator,...

Suppose is a random variable uniformly distributed over the interval [0, 2). (a) Find the PDF of Y = sin (). (b) Find the PDF of Z = cos (). (c) Find the PDF of W = tan ().

plz help answr Consider the random process X(t) = A + B - Sin(27r 'fo ' t + 6), where 9 is a random variable uniformly distributed on [0,275] , A is uniformly distributed on [33], and B is a discrete...

In this computer experiment we study the statistical characteristics of a random process X (t) defined by X (t) = A cos (2?? c t + ?) + W (t). Where the phase ? of the sinusoidal component is a...

We consider a random variable X uniformly distributed in the interval [5, 6], and Y a second variable whose conditional distribution knowing X = x is exponential with parameter = x. Calculate the...

Consider a random process X (t) expanded in the form N, where W? (t) is a remainder noise term. The {? i? (t)} N i = 1 form an orthonormal set over interval 0 ? t ? T, and the X j are defined by. Let...

Let X(t) = cos(wt + theta) and Y(t) = sin(wt + theta), where theta is uniformly distributed in the interval (-pi, pi). (You may find the following useful. cos(a) cos(b) = 1/2 cos(a + b) + 1/2 cos (a...

Mck questions please help Question 1. Let X and Y be independent random variables that take values in the set (1, 2, 3). Let V = 2X + 2Y, and W = X - Y. (a) Assume that P(X = r) and P(Y = x) are...

I just want to check my answer before I submitted it. The random process X (0:33" is a family of exponentials dependending on the random variable a. (a) Draw three sample functions of this random...

Cloud computing has begun to take off in the business world. Those cloud computing service providers have streamlined cloud computing and made it an affordable and sensible option for companies...

Wheeler Company can produce a product that incurs the following costs per unit: direct materials, $9.20; direct labor, $23.20 and overhead, $15.20. A third-party vendor has offered to sell the...

5. LO 4 The Great Moderation in part refers to the moderate variability in real GDP that occurred after the 19811982 recession and before the 20082009 recession. In Figure 3.12, what do you observe...

Bailey and Tepe, attorneys-at-law, provided legal representation to Goode Equipment Inc. in a product liability suit. Twenty partner hours and 65 associate hours were worked in defending the company....

Cumberlands accountant needs to record the information about the joint products and byproducts in the general journal, but is not sure what the entries should be. Cumberland Mines has hired you as a...

From the following list of performance measures, label each one as Financial, Customer, Internal Business Processes, or Learning and Growth: Percentage of on-time deliveries Employee turnover ratio...

Journalize the following sales transactions for Antique Mall. Explanations are not required. The company estimates sales returns at the end of each month. Jan. 4 Sold $16,000 of antiques on account,...

Lopez and Tiznado, dentists, budgeted for the following revenue and expenses for March: Depreciationequipment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 1,500 Fringe...

Explain how to name molecular inorganic compounds.

Identify and briefly describe at least three ways that networks contribute to business success.

Contrast the major characteristics of WANs with those of LANs and MANs.

Briefly describe the traffic, services, and hardware trends in business networks.

Briefly define convergence and describe the major business benefits of convergence.

Briefly describe the characteristics of unified communications (UC) and describe how UC contributes to personal, workgroup, and enterprise-wide performance gains.

Mortgage Mechanics Floating Rate Mortgage Question #3 - Imagine you get a $450,000 closed floating rate mortgage (no CMHC needed) having a three-year term and amortized over 25 years. Although the...