• Signals and Systems
  • CT and DT Signals
  • Signal Energy and Power
  • Transformations
    • Periodic Signals
    • Even and Odd Signals
  • Unit Impulse and Unit Step Functions
    • in DT
    • in CT
  • System Properties
    • Memory
    • Invertibility
    • Causality
    • BIBO Stability
    • Time Invariance
    • Linearity
• LTI Systems
  • DT LTI System
  • CT LTI System
  • Properties of LTI Systems
    • Commutativity
    • Distributive Property
    • Associative Property
    • Memory
    • Invertibilty
    • Causality
    • Stability
    • Unit Step Response
  • Causal LTI Systems described by differential and difference equations
• Fourier Series Representation of Periodic Signals
  • History
  • Eigenfunctions
  • CT FS
    • Convergence of the FS
    • Properties of the CT FS
      • Linearity
      • Time Shifting
      • Time Reversal
      • Time Scaling
      • Mutiplication
      • Conjugation and Conjugation Symmetry
      • Parseval’s Relation
  • DT FS
    • Properties
      • Multiplication
      • First Difference
      • Parseval’s Relation
  • FS with LTI System
  • Filtering
• The Continuous Time Fourier Transform
  • CT FT aperiod
    • convergence of FT
    • examples
  • CT FT Periodic
  • Properties
    • Linearity
    • Time Shifting
    • Conjugation
    • Differentiation and Integration
    • Time and Frequency Scaling
    • Duality
    • Parseval’s Relation
  • Convolution Property
  • Multiplication Property
• The Discrete Time Fourier Transform
  • DT FT Aperiodic
    • examples
    • convergence issues
  • periodic
  • Properties
    • periodicity
    • linearity
    • time shifting and frequency scaling
    • conjugation and conjugate symmetry
    • differentiation and acumulation
    • time reversal
    • time expansion
    • differentiation in frequency
    • parseval’s relation
  • convolution property
  • multiplication property
  • duality