We obtain the time-frequency response of the output of a dynamical system when the input belongs to a class of common nonstationary signals, namely, an impulse, a linear chirp, a causal sinusoid, and a short duration sinusoid. The obtained results clarify how the system processes the time-varying frequencies of the input signal to generate the time-frequency spectrum of the output. All analytic results are exact. The solution is obtained by developing a method which can be used to evaluate the output of a dynamical system for complex combinations of nonstationary inputs. We show numerical examples which prove that the response of a system to a nonstationary input is made by a series of events occurring in the joint time-frequency domain.
Response of Dynamical Systems to Nonstationary Inputs / Galleani L.. - In: IEEE TRANSACTIONS ON SIGNAL PROCESSING. - ISSN 1053-587X. - STAMPA. - 60:11(2012), pp. 5775-5786. [10.1109/TSP.2012.2214032]
Titolo: | Response of Dynamical Systems to Nonstationary Inputs | |
Autori: | ||
Data di pubblicazione: | 2012 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1109/TSP.2012.2214032 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11583/2503419