Signals and Systems (6.003 MIT)

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.

CHAPTERS
Complete course notes (PDF)
Front matter (table of contents, preface) (PDF)
Chapter 1: Difference equations (PDF)
Chapter 2: Difference equations and modularity (PDF)
Chapter 3: Block diagrams and operators: two new representations (PDF)
Chapter 4: Modes (PDF)
Chapter 5: Repeated roots (PDF)
Chapter 6: The perfect (sine) wave (PDF)
Chapter 7: Control (PDF)
Chapter 8: Proportional and derivative control (PDF)
Back matter (bibliography, index) (PDF)