Gabor Tight Fusion Frames: Construction and Applications in Signal Retrieval Modulo Phase

Autor:	Mohammadpour, Mozhgan, Tuomanen, Brian, Gol, Rajab Ali Kamyabi
Rok vydání:	2016
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	Hilbert space fusion frames are a natural extension of Hilbert space frames, extending the notion from a set of vectors in a Hilbert space to a set of subspaces of a Hilbert space with analogous notions of overcompleteness and boundedness. As tight frames are a very important topic within standard frame theory, tight fusion frames are similarly important; however, only trivial examples of tight fusion frames are hitherto known. In this paper, we apply ideas from Gabor analysis to demonstrate a non-trivial construction of tight fusion frames. We then use this construction to further show their applicability in some cases for the retrieval of signals modulo phase. Comment: This work was supported by the National Science Foundation. (NSF ATD 1321779)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1701.00047 Zobrazit plný text záznamu View this record from Arxiv