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.
Course Features
- Lectures 27
- Quizzes 0
- Duration 10 weeks
- Skill level All levels
- Students 32958
- Certificate No
- Assessments Yes
-
Lectures
- Lecture 01 – Signals and Systems
- Lecture 02 – Discrete-Time (DT) Systems
- Assignment 1 and Solution
- Lecture 03 – Feedback, Poles, and Fundamental Modes
- Lecture 04 – Continuous-Time (CT) Systems
- Lecture 05 – Z Transform
- Lecture 06 – Laplace Transform
- Lecture 07 – Discrete Approximation of Continuous-Time Systems
- Lecture 08 – Convolution
- Lecture 09 – Frequency Response
- Lecture 10 – Feedback and Control
- Lecture 11 – Continuous-Time (CT) Frequency Response and Bode Plot
- Lecture 12 – Continuous-Time (CT) Feedback and Control, Part 1
- Lecture 13 – Continuous-Time (CT) Feedback and Control, Part 2
- Lecture 14 – Fourier Representations
- Lecture 15 – Fourier Series
- Lecture 16 – Fourier Transform
- Lecture 17 – Discrete-Time (DT) Frequency Representations
- Lecture 18 – Discrete-Time (DT) Fourier Representations
- Lecture 19 – Relations Among Fourier Representations
- Lecture 20 – Applications of Fourier Transforms
- Lecture 21 – Sampling
- Lecture 22 – Sampling and Quantization
- Lecture 23 – Modulation, Part 1
- Lecture 24 – Modulation, Part 2
- Lecture 25 – Audio CD
- Notes
