Welcome to the course webpage |
COURSE DESCRIPTION | |
AIM: | This course provides analytical tools for studying random phenomena in biomedical systems. Special emphasis is given to properties of random processes. |
LEARNING OUTCOMES: | See course curriculum for detailed intended learning outcomes. |
STYLE AND ASSESSMENT: | Each lecture is 4 hours: Classroom lectures for 2 h and exercises for 2 h. |
EVALUATION: | 3 hours written examination or oral. |
MAIN LITERATURE: | Barkat, Mourad - Signal detection and estimation (2nd Edition) |
Supplement: | Shanmugan and Breipohl - Random Signals |
COURSE PLAN AND MATERIALS |
Lecture | Lecturer | Topic and Materials | Literature | Learning Expectation |
---|---|---|---|---|
Lecture 1 | Ernest Nlandu Kamavuako | Repetition of basic probabilistic theories,
Random variables and random processes
Slides | Exercises | Solutions |
Mourad - Page: Ch. 1 and 3 | Deep Knowledge |
Lecture 2 | Ernest Nlandu Kamavuako |
Descrete-time random processes Slides | Exercises | Solutions |
Mourad: 223 - 264 | Deep Knowledge |
Lecture 3 | Ernest Nlandu Kamavuako |
Statistical decision theory, Detection Theory Slides | Exercises | Solutions |
Mourad - Page: 289:326, Page: 533 - 572 | Deep Knowledge |
Lecture 4 | Ernest Nlandu Kamavuako | Estimation theory No Slides | Exercises | Solutions |
Mourad - Page: 345 - 393 | Deep knowledge |
Lecture 5 | Ernest Nlandu Kamavuako | Representation of Signals Notes | Exercises (Problems 8.1, 8.2 and 8.3) | Solutions |
Mourad - Page: 449 - 487 | Basic Knowledge |
Lecture 6 | Ernest Nlandu Kamavuako | Estimating The Parameters of Random Processes from Data Slides | Exercises (Description, Signal) | Solutions |
Shanmugan and Breipohl - Page: 560 - 613 | Deep Knowledge |
Lecture 7 | Ernest Nlandu Kamavuako | System Identification Slides | Exercises | Solutions |
Matlab toolbox | Application |
Lecture 8 | Samuel Schmidt | Wiener filters Slides |Exercises | Solutions |
Mourad - Page: : 399-436 | Basic Knowledge |
Lecture 9 | Samuel Schmidt | Kalman filters and "How to win a bottle of whisky" Slides |Exercises | Solutions |
Mourad - Page: : 436-445 | Basic Knowledge |
Lecture 10 | Samuel Schmidt | Application of Kalman filter Slides |Exercises | Solutions |
EVALUATION | |
Written or oral: The problems of the exam are similar to the exercises done during the course. Thus we recommend that you understand the exercises and solutions and be able to reflect on them. | |
SMI, Fredrik Bajers Vej 7 D3, DK-9220 Aalborg, Denmark, Tel: +45 9940 8827, Fax: +45 9815 4008, E-mail: Contact-SMI | | |