/signals-and-systems

Materials I developed for a course on signals and systems

Signals and systems

Materials I developed for a course I helped teach on signals and systems.

Table of Contents

  1. Reasoning about LTI systems
    • LTI systems
    • Invertibility
    • Impulse response
  2. More discrete systems
    • Cascade systems
    • Convolution sum
  3. Continuous-time systems
    • Continuous-time systems
    • Convolution integral
  4. Periodic signals
    • Periodic signals
    • Fourier series expansion
    • Step response
  5. Causality, stability, and duality
    • Causality
    • BIBO stability
    • Duality
    • Properties of Fourier series coefficients
  6. Properties of Fourier coefficients
    • More properties of Fourier series coefficients
  7. Parseval's theorem
    • Parseval's Theorem
    • Eigenfunctions
    • Application to infinite series
  8. Discrete-time Fourier series
    • Discrete-time Fourier series
  9. Fourier transform
    • Fourier transform
    • Filter design
    • Delay
  10. Properties of Fourier transform
    • More Fourier transform examples
    • Partial fraction expansion
    • Properties of Fourier transform
  11. Duality of Fourier transform
    • Duality of Fourier transform
    • More properties of Fourier transform
  12. Aliasing and filtering
    • Aliasing
    • Filtering examples
  13. Misc
    • Discrete Fourier expansion example