Construction of fusion frame systems in finite dimensional Hilbert spaces
type: Item
instance of: scholarly article
title: Construction of fusion frame systems in finite dimensional Hilbert spaces
zbMATH Open document ID: 1474.42124
DOI: 10.1155/2014/836731
author: Ting-Zhu Huang
author: Jinsong Leng
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We first investigate the construction of a fusion frame system in a finite-dimensional Hilbert space \(\mathbb{F}^n\) when its fusion frame operator matrix is given and provides a corresponding algorithm. The matrix representations of its local frame operators and inverse frame operators are naturally obtained. We then study the related properties of the constructed fusion frame systems. Finally, we implement the construction of fusion frame systems which behave optimally for erasures in some special sense in signal transmission.
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 7023166
Wikidata QID: Q59041906
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/836731
OpenAlex ID: W2162648482
cites work: Capacity of wireless erasure networks
cites work: Q5436348
cites work: New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities
cites work: Frame paths and error bounds for sigma-delta quantization
cites work: Capacities of Quantum Erasure Channels
cites work: Frames, graphs and erasures
cites work: Quantized frame expansions with erasures
cites work: Optimal frames for erasures.
cites work: Optimal dual frames for erasures. II
cites work: Optimal Dual Frames for Communication Coding With Probabilistic Erasures
cites work: Probability modelled optimal frames for erasures
cites work: Priority encoding transmission
cites work: Q4656813
cites work: Fusion frames and distributed processing
cites work: Minimizing fusion frame potential
cites work: Constructing tight fusion frames
cites work: Robustness of fusion frames under erasures of subspaces and of local frame vectors
cites work: Orthogonal projection decomposition of matrices and construction of fusion frames
cites work: The structure of minimizers of the frame potential on fusion frames
cites work: Optimal linear transmission by loss-insensitive packet encoding
cites work: Decoherence-Insensitive Quantum Communication by Optimal $C^{\ast }$-Encoding
cites work: The duals of fusion frames for experimental data transmission coding of high energy physics
cites work: Separable transition density in the hybrid model for tumor-immune system competition
cites work: On a mathematical model of immune competition
cites work: Discrete differential operators in multidimensional Haar wavelet spaces
description: scientific article; zbMATH DE number 7023166