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arXiv · 1705.04166

Multi-Window Weaving Frames

Monika Dörfler·Markus Faulhuber
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Abstract

In this work we deal with the recently introduced concept of weaving frames. We extend the concept to include multi-window frames and present the first sufficient criteria for a family of multi-window Gabor frames to be woven. We give a Hilbert space norm criterion and a pointwise criterion in phase space. The key ingredient are localization operators in phase space and we give examples of woven multi-window Gabor frames consisting of Hermite functions.

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Monika Dörfler, Markus Faulhuber. 2017-05-17. Multi-Window Weaving Frames. https://doi.org/10.1109/sampta.2017.8024450

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