Frequency-dependent stability for Gabor frames

TL;DR

This paper establishes new stability results for Gabor frames with frequency-dependent timing jitter, enhancing understanding of their robustness under various conditions on the window function.

Contribution

It provides novel stability theorems for Gabor frames affected by frequency-dependent jitter, expanding the theoretical framework for their robustness.

Findings

Stability results depend on properties of the window function

Conditions under which Gabor frames remain stable are characterized

Theoretical bounds for stability are derived

Abstract

We prove new stability results for a class of regular Gabor frames $G(h; a,b )$ subject to frequency-dependent timing jitter under various conditions on the window function $h$.