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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| Formato: | CONF |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p50_Cabrelli |
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todo:paper_97815386_v_n_p50_Cabrelli2023-10-03T16:43:55Z Finite sensor Dynamical Sampling Cabrelli, C. Molter, U. Paternostro, V. Philipp, F. Anbarjafari G. Kivinukk A. Tamberg G. Linear control systems Mathematical operators Complex analysis Inner product Linear dynamical systems Linear operators Normal operator Spectral properties Unit disk Dynamical systems 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. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p50_Cabrelli |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Linear control systems Mathematical operators Complex analysis Inner product Linear dynamical systems Linear operators Normal operator Spectral properties Unit disk Dynamical systems |
| spellingShingle |
Linear control systems Mathematical operators Complex analysis Inner product Linear dynamical systems Linear operators Normal operator Spectral properties Unit disk Dynamical systems Cabrelli, C. Molter, U. Paternostro, V. Philipp, F. Anbarjafari G. Kivinukk A. Tamberg G. Finite sensor Dynamical Sampling |
| topic_facet |
Linear control systems Mathematical operators Complex analysis Inner product Linear dynamical systems Linear operators Normal operator Spectral properties Unit disk Dynamical systems |
| description |
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. |
| format |
CONF |
| author |
Cabrelli, C. Molter, U. Paternostro, V. Philipp, F. Anbarjafari G. Kivinukk A. Tamberg G. |
| author_facet |
Cabrelli, C. Molter, U. Paternostro, V. Philipp, F. Anbarjafari G. Kivinukk A. Tamberg G. |
| author_sort |
Cabrelli, C. |
| title |
Finite sensor Dynamical Sampling |
| title_short |
Finite sensor Dynamical Sampling |
| title_full |
Finite sensor Dynamical Sampling |
| title_fullStr |
Finite sensor Dynamical Sampling |
| title_full_unstemmed |
Finite sensor Dynamical Sampling |
| title_sort |
finite sensor dynamical sampling |
| url |
http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p50_Cabrelli |
| work_keys_str_mv |
AT cabrellic finitesensordynamicalsampling AT molteru finitesensordynamicalsampling AT paternostrov finitesensordynamicalsampling AT philippf finitesensordynamicalsampling AT anbarjafarig finitesensordynamicalsampling AT kivinukka finitesensordynamicalsampling AT tambergg finitesensordynamicalsampling |
| _version_ |
1807322426354171904 |