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