Work

Implementation of discretized Gabor frames and their duals

Year: 2015

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1506.06918

Authors: Kloos, Tobias, Stöckler, Joachim, Gröchenig, Karlheinz

Institutions: University of Vienna, TU Dortmund University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Vienna Science and Technology Fund, Austrian Science Fund, Universität Wien

Awards: G3547933706, Problems in Time-Frequency Analysis

OpenAlex ID: W2952228473

Cites: 22

Cited by:

Related to: 20