This course is part of the Communication Series. It follows a pragmatic approach to Probability and Random Processes. Topics include: An introduction to discrete and continuous probabilities, probability and its use in engineering applications. Spectral representation of random processes (e.g. noise and speech signals) and their use in communication systems. MatLab is used extensively to present concepts, provide exercises, and allow student simulation of probability distributions.
Instructor: 
Jeffrey N. Denenberg 
Email: 

3 

Two (~5^{th}&11^{th} wk)  30% ea. 

Textbook: 
“Probability and Random
Processes,” 
Software: 
MatLab 4.2c or higher (Available to students through the instructor, Several addin 
Reference: 
“Introduction to MatLab for Engineers and Scientists,” D. M. Etter, PrenticeHall, 1996, ISBN # 0135197031 

modules are also available for other topics) 
Topics:
1. 
Introduction to Probability 
1.12.12 
(1 week) 
2. 
Conditional Probability; 
2.122.15 
(1 week) 
3. 
Permutations and Combinations; 
2.162.20 
(1 week) 
4. 
Introduction to MatLab; 
Etter 
(1 week) 

Exam 1 


5. 
Discrete Random Variables; 
3.13.4 
(1 week) 
6. 
Continuous Random Variables; 
3.5, 3.6 
(1 week) 
7. 
Joint and Conditional Probabilities; 
3.73.11 
(1 week) 
8. 
Expected values; Mean, Variance and Moments; 
4.14.7 
(1 week) 
9. 
Functions of Random Variables; The Central Limit Theorem; 
4.84.10 
(1 week) 

Exam 2 


10. 
Random processes; 
5.15.3 
(1 week) 
11. 
Spectral Analysis; Correlation; Ergodicity 
6.16.15, 7.17.8 
(1 week) 

Random Processes and Linear Systems 
8.18.6 
(1 week) 

Final Exam 

12/17/97 
Course Goals
1. 
Develop an understanding of Probability and Random Processes and their engineering applications. 
2. 
Develop familiarity with how and where to apply these techniques to analyze communication systems. 
3. 
Reinforce the use of modern computerbased tools in engineering analysis and simulation. 
Estimated ABET category content as estimated by faculty member who prepared this course description:
Engineering Science: 2 credits or 67% Engineering Design: 1 credit or 33%
Prepared by: Jeffrey N. Denenberg Date: August 28, 1997