caa a22 4500 445868627 CHVBK 20180317145505.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00498-010-0052-5 doi (NATIONALLICENCE)springer-10.1007/s00498-010-0052-5 Boundary Control approach to the spectral estimation problem: the case of multiple poles [Elektronische Daten] [Sergei Avdonin, Anna Bulanova] There exist many methods for solving the spectral estimation problem. This paper proposes a new approach to this problem based on the Boundary Control method. We show that the problem of decomposition of a signal modeled by a sum of exponentials with polynomial coefficients can be reduced to an identification problem for a discrete time linear dynamical system. It follows that values of exponentials can be found solving a generalized eigenvalue problem as in the Matrix Pencil method. We also give exact formulas for the polynomial amplitudes. Springer-Verlag London Limited, 2010 Spectral estimation nationallicence Signal processing nationallicence Boundary Control method nationallicence Control theory nationallicence Matrix Pencil method nationallicence Avdonin Sergei Department of Mathematics and Statistics, University of Alaska Fairbanks, 99775-6660, Fairbanks, AK, USA aut Bulanova Anna Seismology Department, Geophysical Institute, University of Alaska Fairbanks, 99775, Fairbanks, AK, USA aut Mathematics of Control, Signals, and Systems Springer-Verlag 22/3(2011-04-01), 245-265 0932-4194 22:3<245 2011 22 498 https://doi.org/10.1007/s00498-010-0052-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00498-010-0052-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Avdonin Sergei Department of Mathematics and Statistics, University of Alaska Fairbanks, 99775-6660, Fairbanks, AK, USA aut NATIONALLICENCE 700 1- Bulanova Anna Seismology Department, Geophysical Institute, University of Alaska Fairbanks, 99775, Fairbanks, AK, USA aut NATIONALLICENCE 773 0- Mathematics of Control, Signals, and Systems Springer-Verlag 22/3(2011-04-01), 245-265 0932-4194 22:3<245 2011 22 498 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer