MM1: Discrete Fourier Series DFS

1
Spectral Estimation
MM1 lecture Readings p.541-559 Exercise 8.2,
p.600 8.4, p.601

• MM1 Discrete Fourier Series (DFS)
• Introduction why we need DFT...
• DFS and its properties
• Definition of DFT
• MM2 Discrete Fourier Transform (DFT)
• DFT and its properties, circular convolution,
  linear convolution
• MM3 Fast Fourier Transform (FFT)
• FFT algorithms, computational
  complexity...
• MM4 Spectral Analysis Using DFT (I)
• Windowing, spectral sampling... Sinusoid
  signals...
• MM5 Spectral Analysis Using DFT (I)
• Time-dependent, nonstationary signals...