Nonstationary Gabor Frames - Existence and Construction

Details Nonstationary Gabor Frames - Existence and Construction Nonstationary Gabor Frames - Existence and Construction

2011-12-22

arxiv.org/abs/1112.5262v1

Mathematics

Functional Analysis

19 pages

Scientific paper

Nonstationary Gabor frames were recently introduced in \cite{badohojave11} and 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 also construct nonstationary Gabor frames with non-compactly supported windows from a related painless nonorthogonal expansion and give a perturbation result. Finally, the theoretical results are illustrated by two examples of practical relevance.

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