Implementation of discretized Gabor frames and their duals
Numerical Analysis
2015-06-24 v1 Information Theory
math.IT
Abstract
The usefulness of Gabor frames depends on the easy computability of a suitable dual window. This question is addressed under several aspects: several versions of Schulz's iterative algorithm for the approximation of the canonical dual window are analyzed for their numerical stability. For Gabor frames with totally positive windows or with exponential B-splines a direct algorithm yields a family of exact dual windows with compact support. It is shown that these dual windows converge exponentially fast to the canonical dual window.
Cite
@article{arxiv.1506.06918,
title = {Implementation of discretized Gabor frames and their duals},
author = {Tobias Kloos and Joachim Stöckler and Karlheinz Gröchenig},
journal= {arXiv preprint arXiv:1506.06918},
year = {2015}
}
Comments
16 pages, 4 figures