This course consists of 25 video lectures given by Professor Dennis Freeman.
It covers the fundamentals of signal and system analysis, focusing on representations of discrete-time and continuous-time signals (singularity functions, complex exponentials and geometrics, Fourier representations, Laplace and Z transforms, sampling) and representations of linear, time-invariant systems (difference and differential equations, block diagrams, system functions, poles and zeros, convolution, impulse and step responses, frequency responses).
Applications are drawn broadly from engineering and physics, including feedback and control, communications, and signal processing. (from ocw.mit.edu)
Textbook
Oppenheim, Alan, and Alan Willsky. Signals and Systems. 2nd ed. Prentice Hall, 1996. ISBN: 9780138147570.
| TOPICS | SECTIONS |
|---|---|
| Discrete-time (DT) systems | Chapters 1–4 of supplementary notes |
| Continuous-time (CT) systems | 1.0–1.5, 2.4–2.5 |
| Laplace transforms | 9.1–9.10 |
| Z transforms | 10.1–10.10 |
| Convolution | 2.0–2.6 |
| Frequency response | 3.10, 6.0–6.2.3, 6.5–6.5.3 |
| Feedback | 11.0–11.2.3 |
| CT Fourier series | 3.0–3.5.9 |
| CT Fourier transform | 4.0–4.8 |
| DT Fourier series | 3.6–3.12 |
| DT Fourier transform | 5.0–5.9 |
| Sampling | 7.0–7.6 |
| Modulation | 8.0–8.9 |
Supplementary Notes
The following notes are written by Sanjoy Mahajan and Dennis Freeman, and used with permission.
Curriculum
- 1 Section
- 27 Lessons
- 10 Weeks
- Lectures27
- 2.1Lecture 01 – Signals and Systems49 Minutes
- 2.2Lecture 02 – Discrete-Time (DT) Systems49 Minutes
- 2.3Assignment 1 and Solution
- 2.4Lecture 03 – Feedback, Poles, and Fundamental Modes51 Minutes
- 2.5Lecture 04 – Continuous-Time (CT) Systems53 Minutes
- 2.6Lecture 05 – Z Transform48 Minutes
- 2.7Lecture 06 – Laplace Transform45 Minutes
- 2.8Lecture 07 – Discrete Approximation of Continuous-Time Systems45 Minutes
- 2.9Lecture 08 – Convolution54 Minutes
- 2.10Lecture 09 – Frequency Response50 Minutes
- 2.11Lecture 10 – Feedback and Control36 Minutes
- 2.12Lecture 11 – Continuous-Time (CT) Frequency Response and Bode Plot53 Minutes
- 2.13Lecture 12 – Continuous-Time (CT) Feedback and Control, Part 149 Minutes
- 2.14Lecture 13 – Continuous-Time (CT) Feedback and Control, Part 249 Minutes
- 2.15Lecture 14 – Fourier Representations50 Minutes
- 2.16Lecture 15 – Fourier Series47 Minutes
- 2.17Lecture 16 – Fourier Transform46 Minutes
- 2.18Lecture 17 – Discrete-Time (DT) Frequency Representations51 Minutes
- 2.19Lecture 18 – Discrete-Time (DT) Fourier Representations52 Minutes
- 2.20Lecture 19 – Relations Among Fourier Representations47 Minutes
- 2.21Lecture 20 – Applications of Fourier Transforms50 Minutes
- 2.22Lecture 21 – Sampling52 Minutes
- 2.23Lecture 22 – Sampling and Quantization53 Minutes
- 2.24Lecture 23 – Modulation, Part 151 Minutes
- 2.25Lecture 24 – Modulation, Part 243 Minutes
- 2.26Lecture 25 – Audio CD46 Minutes
- 2.27Notes
