ECE 673 - Random Signal Analysis I


Description

This is an introduction course to random analysis at graduate level which helps to build the theoretical foundation for students in communication, signal processing and networking areas. Topics include probability and random variables; random processes and sequences; linear system response to random input; special classes of random processes; applications to signal detection and linear minimum mean square error filtering. 

Prerequisites

Linear system theory and random signal theory at undergraduate level. (Although these materials will be reviewed at beginning of the course, we will proceed quickly to graduate level topics.)

Instructor

Professor Roy You
Email: you@adm.njit.edu
Phone: (973) 596-3528
Office: 333 ECE Building 
Office Hour: Monday 4-6pm

Textbook

Random Signals: Detection, Estimation and Data Analysis
K. Shanmugan and A. Breipohl
John Wiley & Sons, Inc. 1988.

Requirements

There will be weekly problem sets (20% of grade), one midterm (40%), and one final exam (40%). Some of the problem sets will involve Matlab simulation. You can obtain a copy of Matlab software from the campus computing facility.


Schedule

Week

Date

Plan

Reading

Homework
1 Sept. 7 Probability, Random Variables Chp. 2.1, 2.2,  2.3, 2.4 HW01 Solution 
2 Sept. 14 Random Vector, Function of Random Variables Chp. 2.5, 2.6 HW02 Solution 
3 Sept. 21 Random Process, Stationarity Chp. 3.1, 3.2, 3.3, 3.5 HW03 Solution 
4 Sept. 28 Random Processes, Correlation, Spectral Density Chp. 3.4, 3.6 HW04 Solution
5 Oct. 5 Linear System Response to Random Input Chp. 4.1, 4.2, 4.3 HW05 Solution
6 Oct. 12 Gaussian Random Process and Noise Chp. 5.1, 5.5 HW06 Solution
7 Oct. 19 K-L Expansion, Sampling, Quantization Chp. 3.9, 3.10  
8 Oct. 26 Midterm     
9 Nov. 2 Special Classes of Random Processes Chp. 5.2, 5.3, 5.4 HW07 Solution
10 Nov. 9 Binary Detection (MAP) Chp. 6.1, 6.2 HW08 Solution
11 Nov. 16 Binary Detection (Bayes, N-P) Chp. 6.3, 6.4, 6.5 HW09  Solution
12 Nov. 23 Class Cancelled     
13 Nov. 30 Linear MMSE Chp. 7.1, 7.2 HW10  Solution
14 Dec. 7 Bayes MMSE, Innovation Chp. 7.2, 7.3  
15 Dec. 14 Final