Finite sensor Dynamical Sampling

Dynamical Sampling aims to subsample solutions of linear dynamical systems at various times. One way to model this consists of considering inner products of the form (h,Anfi), where h is the signal, (fi) a system of fixed vectors and A a linear operator which is connected with the dynamical system....

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Detalles Bibliográficos
Autores principales: Cabrelli, C., Molter, U., Paternostro, V., Philipp, F., Anbarjafari G., Kivinukk A., Tamberg G.
Formato: CONF
Materias:
Linear control systems
Mathematical operators
Complex analysis
Inner product
Linear dynamical systems
Linear operators
Normal operator
Spectral properties
Unit disk
Dynamical systems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p50_Cabrelli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:Dynamical Sampling aims to subsample solutions of linear dynamical systems at various times. One way to model this consists of considering inner products of the form (h,Anfi), where h is the signal, (fi) a system of fixed vectors and A a linear operator which is connected with the dynamical system. Here, we characterize those systems (Anfi)nϵN, iϵI with finite index sets I and normal operators A which are frames for the underlying Hilbert space. It turns out that this problem is intimately connected with spectral properties of the operator A and complex analysis in the unit disk. We also provide conditions on the spectral properties of A∗ for non-normal A. © 2017 IEEE.

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