EE351KHW_15Fall2009 - and . Calculate (a) )] ( [ t X E (b)...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
THE UNIVERSITY OF TEXAS AT AUSTIN Department of Electrical and Computer Engineering EE 351K • Probability and Random Processes • Fall 2009 Assignment No. 15, Due Monday, November 30, 2009 Please include the following information on the first page of each assignment: (1) Your name (printed legibly), (2) Course number EE 351K , (3) Assignment Number , and (4) Due Date . Thank you. Problem 1 Consider the random process ) ( t X , which is stationary ) cos( ) ( 0 θ ω + = t A t X where is a uniformly distributed r.v. between
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: and . Calculate (a) )] ( [ t X E (b) )] ( [ 2 t X E (c) )] ( ) ( [ ) ( + = t X t X E R X Problem 2 Consider the random process ) cos( ) ( + = t A t X , which is assumed to be stationary and ergodic. Calculate (a) > < ) ( t X (b) > < ) ( 2 t X (c) > + =< ) ( ) ( ) ( t X t X R X where > < denotes a time average over one period, 2 = T . (d) Compare your answers for (a), (b), and (c) with the corresponding answers for Problem 1....
View Full Document

This note was uploaded on 01/20/2010 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas at Austin.

Ask a homework question - tutors are online