Hilbert-Schmidt Operators and Frames - Classification, Best Approximation by Multipliers and Algorithms!


22/10/2007



This webpage is linked to the paper

Codes (MATLAB):



Pictures:


  1. Using the algorithm for approximation with frame multipliers in the time invariant filter, Gabor and wavelet case.
    Top Left: original system, Top Right: approximation by circulant matrices, i.e. time-invariant filters, Bottom Left: Gabor case, Bottom Right:wavelet case



  2. The time frequency spread of the best approximations in the last figure.
    Top Left: original system, Top Right: approximation by circulant matrices, i.e. time-invariant filters, Bottom Left: Gabor case, Bottom Right:wavelet case