Timetable

Week Tuesday Thursday

1.

(Mar 4. - Mar 8.)

Introduction to signals and systems. Classification of signals. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 1.0, 1.1.

Basic signals. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 1.3, 1.4.

Solve Homework 1. Hand it in next week.

2.

(Mar 11. - Mar 15.)

Basic signals. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 1.3, 1.4.

Signal space. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 1.1, https://en.wikipedia.org/wiki/Hilbert_space.

Solve Homework 2. Hand it in next week.

3.

(Mar 18. - Mar 22.)

CTFS. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 3.3, 3.4, 3.5.

CTFS and DTFS. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 3.6, 3.7.

Solve Homework 3. Hand it in next week.

4.

(Mar 25. - Mar 29.)

CTFT and DTFT. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, sec. 4, 5.

Properties of the Fourier transform. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 3.5, 3.7, 4.3, 4.6, 5.3, 5.6.

Solve Homework 4. Hand it in next week.

5.

(Apr 1. - Apr 5.)

Fourier transform of periodic signals. Sampling continuous-time signals. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 4.2, 5.2, 7.0, 7.1.

Signal reconstruction. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 7.2, 7.3, 7.6.

Solve Homework 5. Hand it in next week.

6.

(Apr 8. - Apr 12.)

Reconstruction of a continuous spectrum. DFT. Signal dimension. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 7.4, 7.5.

Systems and their properties. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 1.5, 1.6.

Solve Homework 6. Hand it in next week.

7.

(Apr 15. - Apr 19.)

Discrete-time LTI systems and impulse response. The convolution sum. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 2.0, 2.1.

Countinuous-time LTI systems and impulse response. The convolution integral. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 2.2.

Solve Homework 7. Hand it in next week.

8.a
(Apr 22. - Apr 26.)

midterm exam

8.b

(Apr 29. - May 5.)

midterm exam

9.
(May 6. - May 10.)

Response of discrete-time systems. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 2.4.

Response of discrete-time systems. Response of continuous-time systems. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 2.4.

10.
(May 13. - May 17.)

Response of continuous-time systems. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 2.4.

Frequency response of continuous-time systems. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 6.0, 6.1, 6.2.

Solve Homework 8. Hand it in next week.

11.
(May 20. - May 24.)

Frequency response of discrete-time systems. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, chap. 6.0, 6.1, 6.2.

Z-transform. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, sec. 10.

12.

(May 27. - May 31.)

Laplace transform. Literature: A. W. Oppenheim, A. S. Willsky, and H. Nawab, Signals and Systems, sec. 9.

 

13.

(Jun 3. - Jun 7.)

State space representation of systems.

Literature: https://en.wikipedia.org/wiki/State-space_representation

https://en.wikipedia.org/wiki/Observability

https://en.wikipedia.org/wiki/Controllability

Response of discrete and continuous-time systems in the state-space domain.

https://en.wikipedia.org/wiki/State-transition_matrix

Solve Homework 9. Hand it in next week.

14.

(Jun 10. - Jun 14.)

State-space trajectory. System realizations.

https://en.wikipedia.org/wiki/Realization_(systems)

System realizations. Transform a system into the state-space domain.

https://lpsa.swarthmore.edu/Representations/SysRepTransformations/TF2SS.html

15.a

(Jun 17. - Jun 21.)

final exam

15.b

(Jun 24. - Jun 28.)

final exam

15.c

(Jul 1. - Jul 5.)

final exam