Woven Fusion frames in Hilbert spaces and some of their properties

Abstract

A new notion in frame theory has been introduced recently that called woven frames. Woven and weaving frames are powerful tools for preprocessing signals and distributed data processing. Also, the purpose of introducing fusion frame or frame of subspace is to first construct local components and then build a global frame from these. This type of frames behaves as a generalization of frames. Motivating by the concepts of fusion and weaving frames, we investigate the notion woven fusion frames and study some of their features.