On the duality of frames and fusion frames

Authors : Ali Akbar AREFİJAMAAL, Fahimeh Arabyani NEYSHABURİ, Mitra SHAMSABADİ

Pages : 47-56

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Publication Date : 2018-02-01

Article Type : Research Paper

Abstract :Optimal frame bounds play a key role in many applications of frame theory, such as filter banks. In this paper, we study the relation between the bounds of a frame and its alternate dual and then present some approach to construct a family of Parseval frames. Also, we survey some problems on duals of fusion frames. In particular, we discuss on some essential differences between duals of ordinary frames and fusion frames. Finally, we characterize duals of some fusion frames.
Keywords : Frame bounds, dual frames, fusion frames, dual fusion frames