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ELE 770 – Statistical Signal Processing

 

 

 

 

 

 

 

Course Materials

 

 

 

Syllabus - Spring 2023-2024

 

Course Description

 

Basic objective of the course is to give idea on fundamental principles of statistical signal processing, knowledge of basic estimation, filtering, prediction methods such as Bayes, MAP, MLE, LMSE, Wiener, Levinson, and Kalman filters.

 

Course Info

 

Tuesday 13:30 - 16:20

E9 Classroom

Documents will be uploaded to the STAR system

https://star.ee.hacettepe.edu.tr/

 

Lecturer Info

 

Dr. Barış Yüksekkaya

Office: Department of Electrical and Electronics Engineering, New Building, 3rd Floor

Office Hours: Thursday 13:30-15:30

Tel: 0312 297 7000

E-mail: byuksek  {at}  ee. hacettepe. edu. tr

 

Textbook and Materials

 

1- Lecture Notes.

2- S. Kay, Fundamentals of Statistical Signal Processing, Vol.I-II, Prentice Hall.

3- Statistical Signal Processing and Modeling, M. H. Hayes, Wiley.

4- T. Moon and W. Stirling, Mathematical Methods and Algorithms for Signal Processing, Prentice-Hall.

5- S.J. Orfanidis, Optimum Signal Processing, McGraww Hill.

 

Grading

 

Homeworks    25%

Midterm          25%

Final               50%    (In addition, a certain threshold must be obtained from the Final Exam to be

successful in the course.)

 

Course Content

 

1.     Norms, Orthogonal Spaces, Projections, Random Vectors.

2.     Orthogonal Projections, Gram-Schmidt Orthogonalization.

3.     Random Processes, Gaussian Processes, Markov Processes.

4.     Random State Models.

5.     Analysis of Systems, Spectral Factorization, Rational Modeling.

6.     Bayesian Estimation, MAP, MLE,MSE.

7.     LMSE.

8.     Wiener Filter.

9.     Levinson Filter.

10.  Kalman Filter

 

Rules

 

Attendance is recommended.

Failure to enter the midterm and to submit the homeworks will result in F1 grade.

Failure to enter the final exam will result in F2 grade.

In order to be successful in the course, a certain base score must be obtained from the final exam.