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Nonstationary Gabor Frames - Existence and Construction

Authors
Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 1112.5262
Source
arXiv
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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.

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