Results 1 to 10 of about 28,773 (211)

Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules

open access: yesJournal of Mathematics, 2023
The relay fusion frame proposed by Hong and Li is an extension of a fusion frame that has many applications in science. In this study, we introduce relay fusion frames in Hilbert C∗-modules very naturally and shift some common attributes of fusion frames
Xiujiao Chi, Guoqing Hong, Pengtong Li
doaj   +6 more sources

Relay fusion frames in Banach spaces

open access: yesOpen Mathematics, 2023
The relay fusion frames have been recently introduced in Hilbert spaces to model sensor relay networks and distributed sensor relay systems, which are deeply connected with compressed sensing.
Hong Guoqing, Li Pengtong
doaj   +3 more sources

Continuous relay fusion frame in Hilbert space

open access: yesAzerbaijan Journal of Mathematics, 2023
In this paper we introduced the concept of continuous relay fusion frames in Hilbert spaces. And we define the dual frames for continuous relay fusion frames. Finally we study the perturbation probleme of continuous relay fusion frames.
Nhari, F. D., Rossafi, M.
exaly   +5 more sources

Relay fusion frames for Hilbert spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2019
A new notion of frames, called the relay fusion frames, for Hilbert spaces has been introduced by the authors. It provides a mathematical framework for applications that require the transmission of signals over long distances or need to expand the ...
Guoqing Hong, Pengtong Li
doaj   +4 more sources

Some Properties of Relay Fusion Frames in Finite Dimensions

open access: yesAxioms
In this paper, we analyze the relationship between relay fusion frames and standard fusion frames in finite-dimensional real Hilbert spaces. We propose an optimal design method for tight relay fusion frames in the setting of orthogonal subspaces ...
Jianxia Zhang   +4 more
doaj   +3 more sources

ESTUDIO DE LAS ETAPAS DE DESARROLLO DE LA RED DIGITAL DE SERVICIOS INTEGRADOS DE BANDA ANCHA (SEGUNDA PARTE)

open access: yesIngeniería, 2011
Esta segunda parte trata sobre la evolución natural del BISDN a partir de ISDN de banda angosta y menciona el papel de SONET o SDH (nuevos estándares de transmisión) y ATM (Nuevos estámdares de conmutación), en sistemas de alta capacidad.
Luis Diego Marín Naranjo
doaj   +2 more sources

Constructing relay fusion frames in Hilbert spaces

open access: yesFilomat
In this work, we start by introducing a general methodology to generate new relay fusion frames from given ones, namely the Spatial Complement Method, and analyze the relationships between the parameters of the original and the new relay fusion frame.
Guoqing Hong, Pengtong Li
openaire   +2 more sources

Fusion frame, relay fusion frame and signal reconstruction

open access: yesFilomat
In this paper, we demonstrate that any signal exhibiting a certain sparse pattern can be recovered in a stable and resilient manner through the utilization of the fusion frame approach. The theoretical analysis highlights that the deviation of the approximate solution is effectively controlled.
exaly   +2 more sources

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