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arXiv · 1912.07530

On wovenness of K-fusion frames

Animesh Bhandari·Saikat Mukherjee
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Abstract

In frame theory literature, there are several generalizations of frame, K-fusion frame presents a flavour of one such generalization, basically it is an intertwined replica of K-frame and fusion frame. K-fusion frames come naturally (having significant applications) when one needs to reconstruct functions (signals) from a large data in the range of a bounded linear operator. Getting inspiration from the concept of weaving frames in Hilbert space, we study the weaving form of K-fusion frames which have significant applications in wireless sensor networks. This article produces various characterizations of weaving K-fusion frames in different spaces. Furthermore, Paley-Wiener type perturbation and conditions on erasure of frame components have been assembled to scrutinize wovenness of the same.

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Animesh Bhandari, Saikat Mukherjee. 2019-12-13. On wovenness of K-fusion frames. https://arxiv.org/abs/1912.07530

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