Question: Please solve asap A Random Telegraph Signal with rate > > 0 is a random process X(t) (where for each t, X(t) E {+1}) defined

Please solve asap

A Random Telegraph Signal with rate > > 0 is a random process X(t) (where for each t, X(t) E {+1}) defined on [0, co) with the following properties: X(0) = 41 with probability 0.5 each, and X(t) switches between the two values #1 at the points of arrival of a Poisson process with rate A i.e., the probability of k changes in a time interval of length T is P(k sign changes in an interval of length T) = e-AT ( AT ) K k! (a) Find the first-order PMF of the process X (t). (b) Find E[X(t) ] (c) Find the autocorrelation function of X. (d) Find the power spectral density of X

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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!

Please Solve the questions in the attachment clearly. 1 (0) A risky asset has value A at time t. A probability measure R is defined so that Av is an yle R-martingale, where v is calculated using the...

This is a problem statement . Need the MATLAB code for all the specifications ( specify with number of question to which the code is written ) and comments please .Need as soon as possible . Assuming...

please solve out 46. List - I List - II 49. List - I List - II National 1. 2004 I. Simple 1. Equal Agricultural Policy Random probability of II. Marine Fishing 2. 1978 Sampling selection of an Policy...

Math 350 - Homework 3 - Solutions 1. The bus will arrive at a time that is uniformly distributed between 8 and 8 : 30 A.M. If we arrive at 8 A.M., what is the probability that we will wait between 5...

riately chosen axioms and definitionsThere is debate over whether mathematical objects such as numbers and points exist naturally or are human creations. The mathematician Benjamin Peirce called...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

Submitted to Management Science manuscript MS-0001-1922.65 Authors are encouraged to submit new papers to INFORMS journals by means of a style file template, which includes the journal title....

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Business Research MethodologyQuestion Bank 1 1. When the marketing department of an organization attempts to determine the amount of time the managers in this department spend at their computers in...

Murray Company acquired $100,000 face value of the outstanding bonds of Campbell Company on January 1, 2013. The bonds pay interest semiannually on June 30 and December 31 at an annual rate of 6% and...

The following describes the Inventory control system for Aramex Company. The company has a centralized computer system with terminals located in various departments. The terminals are networked to a...

Tutorial Exercise Find the radius o f convergence, R , o f the series. n = 3 x n + 7 7 n ! Find the interval, I, o f convergence o f the series. ( E n t e r your answer using interval notation. )

Two toy cars are traveling to the opposite side of a small hill. One car goes around the mountain, maintaining a constant acceleration of 3 m s -2 . The other car goes over the hill and has an...

Consider a new design of a thermal reactor that requires square arrays of fuel rods. Heat is being generated uniformly along the fuel rods. Water and helium are being considered as single-phase...

Java programming: Compare and contrast a mouse clicked event and a key typed event. What is rubberbanding? How can it be accomplished?

Find the total reliability for the system shown in the figure below. This is a system of four components and each component has several subcomponents connected in parallel and work in the same time...

Draw the major organic product of the following reaction, and select the mechanism which would dominate (SN 1 , SN 2 , E 1 , or E 2 ). Draw all four bonds at chiral centers. Select the mechanism...

Brands owned by Darden are? How many meals are served annually and how many restaurants are in US and Canada? Total company annual sales are? Where does the quality control start

1. This chapter is designed to give the reader an understanding of how the way a problem is framed is crucial for how it is perceived, both by the recipient of a message and the person who wants to...

5. How is communication affected by how we demarcate the boundaries of a problem?

7. How does the framing of a situation affect the situation regarding communica-tion?