Numerical stability of spline-based Gabor-like systems

Proc Eur Signal Process Conf EUSIPCO. 2018 Dec 3:26:1337-1341. doi: 10.23919/EUSIPCO.2018.8552927.

Abstract

The paper provides a theorem for the characterization of numerical stability of spline-type systems. These systems are generated through shifted copies of a given atom over a time lattice. Also, we reformulate the well known Gabor systems via modulated spline-type systems and we apply the corresponding numerical stability to these systems. The numerical stability is tested for consistency against deformations.

Keywords: Gabor systems; numerical stability; spline-type spaces.