Instructor
Prof. Volkan Cevher
Description
This course offers an elementary introduction to signals and systems.
Our goal is to help students understand mathematical descriptions of signal processing algorithms and express those algorithms as basic computer implementations via MATLAB.
Our pedagogic approach exploits a mixture of mathematical theory and “hands-on” experience. Along with abstract signals and systems concepts, we include many application examples and demos, as well as laboratory sessions to put key theoretical elements from the lectures into action.
To achieve these goals, we devote one to two hours each week to lectures, followed by either a one-hour interactive problem solving session or a two- hour computer exercise session.
Textbook
Signal Processing First, James H. McClellan, Ronald W. Schafer, and Mark A. Yoder, Prentice Hall, 2003.
Reference Reading
Signals and Systems, Alan V. Oppenheim, Alan S. Willsky, and S. Hamid, Prentice Hall, 1996.
Outline
| Week 1 | Course logistics, introduction, and applications. |
| Sinusoids and complex exponentials. | |
| Reading: §1, §2.1 − 2.5, and Appendix B | |
| Week 2 | Phasor addition. |
| Lab 1: MATLAB tutorial | |
| Reading: §2.6, Appendix A, and Lab 1 | |
| Week 3 | The spectrum, periodic signals, the time-varying spectrum, chirp signals. |
| Reading: §3.1 − 3.3, §3.7 − 3.8 | |
| Week 4 | Fourier series coefficients. |
| Lab 2: Using complex exponentials | |
| Reading: §3.4 − 3.6, Lab 2 | |
| Week 5 | Fourier series and the spectrum. |
| Lab 3: AM and FM signals | |
| Reading: §3.4 − 3.6, Lab 2 | |
| Week 6 | Sampling and aliasing. |
| Reading: §4.1 − 4.3 | |
| Week 7 | Digital to analog conversion, the Shannon sampling theorem, and the Nyquist rate. |
| Reading: §4.4 − 4.6 | |
| Lab 4: A/D and D/A conversion | |
| Week 8 | Pre-midterm review |
| Week 9 | Bonus midterm exam |
| Week 10 | Discrete-time systems, filtering (FIR), and causality. |
| Reading: §5.1 − 5.3 | |
| Week 11 | Linearity, time invariance, and convolution. |
| Cascaded systems. | |
| Circuits as examples of systems. | |
| Reading: §5.4 − 5.9 | |
| Week 12 | Frequency response of FIR filters. |
| Reading: §6.1 − 6.5 | |
| Week 13 | Frequency response of FIR filters (cont.) and digital filtering analog signals. |
| Reading: §6.6 − 6.9 | |
| Week 14 | Final exam review |