Fourier Transform notes ppt pdf

• The Eigenvalue Problem
• The Eigenvalue Problem of LTI System
  • Continuous system
  • Discrete system
• Examples
  • Example I - Continuous System
    • RC circuit-output across C
    • RC circuit-output across R
  • Example II-Discrete System
• Fourier Series Expansion
• Convergence of the Fourier Series
• Alternative Derivation of Fourier Expansion
• Fourier Series as a Form of Fourier Transform
• Physical Interpretation of Fourier Expansion
• Fourier Series as Input to LTI
• Properties of Fourier Expansion
• Examples
• From Fourier Series to Fourier Transform
• Fourier Transform of Periodic Signals
• Properties of Fourier Transform
• Examples
• Discrete-Time Fourier Transform
• Properties of Discrete Transform
• Fourier Transform of Discrete Periodic Signal
• Convolution theorem for Discrete Periodic Signal
• Four different forms of Fourier transform
• Filtering