5 papers
Constructing Parseval Fusion Frames via Operators
Ehsan Ameli, Ali Akbar Arefijamaal, Fahimeh Arabyani Neyshaburi
This article explores the problem of modifying the subspaces of a fusion frame in order to construct a Parseval fusion frame. In this respect, the notion of scalability is extended…
A Survey on Constructing Parseval Fusion Frames via Scaling Weights
Ehsan Ameli, Ali Akbar Arefijamaal, Fahimeh Arabyani Neyshaburi
The construction of Parseval fusion frames is highly desirable in a wide range of signal processing applications. In this paper, we study the problem of modifying the weights of a…
Topological structure of projective Hilbert spaces associated with phase retrieval vectors
Fahimeh Arabyani Neyshaburi, Ali Akbar Arefijamaal, Ghadir Sadeghi
In this paper, we explore the interplay between topological structures and phase retrieval in the context of projective Hilbert spaces. This work provides not only a deeper underst…
Weaving Hilbert Space Frames and Duality
Fahimeh Arabyani Neyshaburi, Ali Akbar Arefijamaal
Weaving Hilbert space frames have been introduced recently by Bemrose et al. to deal with some problems in distributed signal processing. In this paper, we survey this topic from t…
Weaving Hilbert space fusion frames
Fahimeh Arabyani Neyshaburi, Ali Akbar Arefijamaal
A new notion in frame theory, so called weaving frames has been recently introduced to deal with some problems in signal processing and wireless sensor networks. Also, fusion frame…