Mathematical background

• Waveform Libraries
  • Local trigonometric bases
  • Wavelets and Wavelet Packets
• Entropy considerations
• Time-Frequency Analysis
  • The phase cell representation
  • Examples
• The Haar System
• The Haar basis
  • Haar Multiscale Analysis
  • Exercise
  • Walsh Functions
• General wavelet packets
  • Remark
• Denoising
  • Starting on the right basis
  • Asymptotics
  • The selection algorithm