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Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale

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Description

This is Mallat’s pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

Course content

  • Discrete-time Filters Unlimited
  • Sampling Rate Change Operations Unlimited
  • Filter Banks Unlimited
  • Filter Banks (contd.) Unlimited
  • Modulation and Polyphase Representations Unlimited
  • MATLAB® Wavelet Toolbox Unlimited
  • Orthogonal Filter Banks Unlimited
  • Maxflat Filters Unlimited
  • Multiresolution Analysis (MRA) Unlimited
  • Refinement Equation Unlimited
  • Orthogonal Wavelet Bases Unlimited
  • Mallat Pyramid Algorithm Sec Unlimited
  • Accuracy of Wavelet Approximations (Condition A) Unlimited
  • Smoothness of Wavelet Bases Unlimited
  • Signal and Image Processing Unlimited
  • Lifting: Ladder Structure for Filter Banks Unlimited
  • Wavelets and Subdivision Unlimited
  • Wavelets and Subdivision (contd.) Unlimited
  • Numerical Solution of PDEs Unlimited
  • M-band Wavelets Unlimited

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Instructor

Massachusetts Institute of Technology
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