Nonstationary Gabor Frames - Existence and Construction

Abstract

Nonstationary Gabor frames were recently introduced in adaptive signal analysis. They represent a natural generalization of classical Gabor frames by allowing for adaptivity of windows and lattice in either time or frequency. In this paper we show a general existence result for this family of frames. We then give a perturbation result for nonstationary Gabor frames and construct nonstationary Gabor frames with non-compactly supported windows from a related painless nonorthogonal expansion. Finally, the theoretical results are illustrated by two examples of practical relevance.

17 pages

Cited by in corpus (2)

• Structure of nonstationary Gabor frames and their dual systems
• Nonstationary Gabor Frames - Approximately Dual Frames and Reconstruction Errors