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 |
midterm exam |
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8.b (Apr 29. - May 5.) |
midterm exam | |
9. |
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. |
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. |
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. |
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13. (Jun 3. - Jun 7.) |
State space representation of systems. Literature: https://en.wikipedia.org/wiki/State-space_representation |
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. |
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 |