4 papers
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…
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…
Excess of Fusion Frames: A Comprehensive Approach
Ehsan Ameli, Ali Akbar Arefijamaal, Fahimeh Arabyani Neyshaburi
Computing the excess as a method of measuring the redundancy of frames was recently introduced to address certain issues in frame theory. In this paper, the concept of excess for f…