Revision as of 15:11, 25 January 2014 by Chen558 (Talk | contribs)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)


ECE Ph.D. Qualifying Exam

Communication, Networking, Signal and Image Processing (CS)

Question 1: Probability and Random Processes

August 2012



Question

Part 1. 25 pts


 $ \color{blue}\text{State and prove the Chebyshev inequality for random variable} \mathbf{X}\text{ with mean}\mathbf{\mu}\text{ and variance } \mathbf{\sigma^2} \text{. In constructing your proof, keep in mind that} \mathbf{X} \text{ may be either a discrete or continuous random variable} $


Click here to view student answers and discussions

Part 2. 25 pts


 $ \color{blue} \text{Show that if a continuous-time Gaussian random process } \mathbf{X}(t) \text{ is wide-sense stationary, it is also strict-sense stationary.} $


Click here to view student answers and discussions

Back to ECE Qualifying Exams (QE) page

Alumni Liaison

ECE462 Survivor

Seraj Dosenbach