Title :
Convergence of an iterative time-variant filtering based on discrete Gabor transform
Author :
Xia, Xiang-Gen ; Qian, Shie
Author_Institution :
Dept. of Electr. & Comput. Eng., Delaware Univ., Newark, DE, USA
fDate :
10/1/1999 12:00:00 AM
Abstract :
An iterative time-variant filtering based on the discrete Gabor transform (DGT) has been previously proposed by the authors. In this article, we present a proof of the convergence of the iterative algorithm under a sufficient condition on the analysis and synthesis window functions of the DGT. In the meantime, we show that the iterative algorithm refines the least squares solution
Keywords :
convergence of numerical methods; discrete transforms; filtering theory; iterative methods; least squares approximations; time-frequency analysis; time-varying filters; analysis window function; convergence; discrete Gabor transform; iterative algorithm; iterative time-variant filtering; least squares solution; sufficient condition; synthesis window function; time-frequency analysis; Convergence; Discrete transforms; Filtering; Fourier transforms; Gabor filters; Iterative algorithms; Least squares methods; Nonlinear filters; Signal analysis; Signal synthesis;
Journal_Title :
Signal Processing, IEEE Transactions on
