Title :
Approximation of matrices by Gabor multipliers
Author :
Feichtinger, Hans G. ; Hampejs, Mario ; Kracher, Günther
Author_Institution :
Dept. of Math., Univ. of Vienna, Austria
Abstract :
We present a fast Fourier transform based algorithm which allows to obtain the best approximation of a given time-variant linear system by approximating its matrix (in the Hilbert-Schmidt sense) by a Gabor multiplier, using a given tight Gabor frame. We illustrate the approach by approximating the inverse of a slowly time variant filter.
Keywords :
fast Fourier transforms; matrix algebra; signal processing; time-varying filters; Gabor multiplier; fast Fourier transform; matrix approximation; signal processing; time variant filter; time-variant linear system; Approximation algorithms; Displays; Fast Fourier transforms; Filtering; Fourier transforms; Gabor filters; Helium; Lattices; Linear approximation; Linear systems; FFT; Fast Fourier transform; Gabor multipliers; Gabor transform; matrix approximation; time-variant filtering;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2004.833581
