Characterizations of weaving $K$-frames

Pub Date : 2019-07-20 DOI:10.3792/pjaa.96.008
A. Bhandari, Debajit Borah, S. Mukherjee
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引用次数: 6

Abstract

In distributed signal processing frames play significant role as redundant building blocks. Bemrose et. al. were motivated from this concept, as a result they introduced weaving frames in Hilbert space. Weaving frames have useful applications in sensor networks, likewise weaving K-frames have been proved to be useful during signal reconstructions from the range of a bounded linear operator K. This article focuses on study, characterization of weaving K-frames in different spaces. Paley-Wiener type perturbation and conditions on erasure of frame components have been assembled to scrutinize woven-ness of K- frames.
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编织$K$框架的特征
在分布式信号处理中,帧作为冗余构件起着重要的作用。Bemrose等人的灵感来自于这个概念,因此他们在希尔伯特空间中引入了编织框架。编织帧在传感器网络中有很好的应用,同样,编织k帧也被证明在有界线性算子k的范围内重构信号时是有用的。本文重点研究了在不同空间中编织k帧的特征。佩利-维纳型摄动和擦除框架组件的条件已组装,以仔细检查K-框架的织造度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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