StochF02_MidEx2

StochF02_MidEx2 - ECE 330:541, Stochastic Signals and...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECE 330:541, Stochastic Signals and Systems Midterm Exam 2 Fall 2002 Instructions: There are three problems on this exam, each with multiple parts. On the booklet(s) provided, please answer the problems and clearly state on each page of the booklet which problem you are solving. Note: The exam will be graded out of 100 points, and will be scaled later to contribute a total of 25 points towards your final grade. 1. Random Phase Signals: Consider the continuous time process X ( t ) = A cos( t + ), where is a known frequency, is uniformly distributed in (0 , 2 ) and independently of the random variable A . (a) ( 10 points ) Is X ( t ) is a wide sense stationary (WSS) process? Hint: You may want to use the fact that cos( A )cos( B ) = (cos( A- B ) + cos( A + B )) / 2. (b) ( 10 points ) If we take to be a known constant, is X ( t ) WSS? 2. Stationary Autoregressive-1 Process: Let e ( t ), for t = 0 , 1 , 2 , be a real-valued white noise process (i.e. a sequence of uncorrelated real-valued random variables with zero mean andnoise process (i....
View Full Document

Page1 / 2

StochF02_MidEx2 - ECE 330:541, Stochastic Signals and...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online