Catalog

Signals and Systems

Electrical Engineering and Computer Science MIT CC BY-NC-SA 4.0 25 lectures

6.003 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.

Syllabus

  1. 1 Lecture 1: Signals and Systems
  2. 2 Lecture 2: Discrete-Time (DT) Systems
  3. 3 Lecture 3: Feedback, Poles, and Fundamental Modes
  4. 4 Lecture 4: Continuous-Time (CT) Systems
  5. 5 Lecture 5: Z Transform
  6. 6 Lecture 6: Laplace Transform
  7. 7 Lecture 7: Discrete Approximation of Continuous-Time Systems
  8. 8 Lecture 8: Convolution
  9. 9 Lecture 9: Frequency Response
  10. 10 Lecture 10: Feedback and Control
  11. 11 Lecture 11: Continuous-Time (CT) Frequency Response and Bode Plot
  12. 12 Lecture 12: Continuous-Time (CT) Feedback and Control, Part 1
  13. 13 Lecture 13: Continuous-Time (CT) Feedback and Control, Part 2
  14. 14 Lecture 14: Fourier Representations
  15. 15 Lecture 15: Fourier Series
  16. 16 Lecture 16: Fourier Transform
  17. 17 Lecture 17: Discrete-Time (DT) Frequency Representations
  18. 18 Lecture 18: Discrete-Time (DT) Fourier Representations
  19. 19 Lecture 19: Relations Among Fourier Representations
  20. 20 Lecture 20: Applications of Fourier Transforms
  21. 21 Lecture 21: Sampling
  22. 22 Lecture 22: Sampling and Quantization
  23. 23 Lecture 23: Modulation, Part 1
  24. 24 Lecture 24: Modulation, Part 2
  25. 25 Lecture 25: Audio CD

Course materials