Abstract:
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.
Registro:
| Documento: |
Conferencia
|
| Título: | Finite sensor Dynamical Sampling |
| Autor: | Cabrelli, C.; Molter, U.; Paternostro, V.; Philipp, F.; Anbarjafari G.; Kivinukk A.; Tamberg G. |
| Filiación: | Departamento de Matemática, FCEyN UBA, IMAS UBA-CONICET, Buenos Aires, Argentina
Departamento de Matemática, Fac. de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
|
| Palabras clave: | Linear control systems; Mathematical operators; Complex analysis; Inner product; Linear dynamical systems; Linear operators; Normal operator; Spectral properties; Unit disk; Dynamical systems |
| Año: | 2017
|
| Página de inicio: | 50
|
| Página de fin: | 54
|
| DOI: |
http://dx.doi.org/10.1109/SAMPTA.2017.8024398 |
| Título revista: | 12th International Conference on Sampling Theory and Applications, SampTA 2017
|
| Título revista abreviado: | Int. Conf. Sampl. Theory Appl., SampTA
|
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815386_v_n_p50_Cabrelli |
Referencias:
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Citas:
---------- APA ----------
Cabrelli, C., Molter, U., Paternostro, V., Philipp, F., Anbarjafari G., Kivinukk A. & Tamberg G.
(2017)
. Finite sensor Dynamical Sampling. 12th International Conference on Sampling Theory and Applications, SampTA 2017, 50-54.
http://dx.doi.org/10.1109/SAMPTA.2017.8024398---------- CHICAGO ----------
Cabrelli, C., Molter, U., Paternostro, V., Philipp, F., Anbarjafari G., Kivinukk A., et al.
"Finite sensor Dynamical Sampling"
. 12th International Conference on Sampling Theory and Applications, SampTA 2017
(2017) : 50-54.
http://dx.doi.org/10.1109/SAMPTA.2017.8024398---------- MLA ----------
Cabrelli, C., Molter, U., Paternostro, V., Philipp, F., Anbarjafari G., Kivinukk A., et al.
"Finite sensor Dynamical Sampling"
. 12th International Conference on Sampling Theory and Applications, SampTA 2017, 2017, pp. 50-54.
http://dx.doi.org/10.1109/SAMPTA.2017.8024398---------- VANCOUVER ----------
Cabrelli, C., Molter, U., Paternostro, V., Philipp, F., Anbarjafari G., Kivinukk A., et al. Finite sensor Dynamical Sampling. Int. Conf. Sampl. Theory Appl., SampTA. 2017:50-54.
http://dx.doi.org/10.1109/SAMPTA.2017.8024398