Decomposition of the instantaneous spectrum of a random system

Authors:
Lorenzo Galleani
Affiliations:
Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Venue:
Signal Processing
Year:
2010

Citing 2
Cited 1

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The transient spectrum of a random system

IEEE Transactions on Signal Processing

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Abstract

We characterize the nature of the instantaneous spectrum of a random system. We define the instantaneous spectrum as the Wigner spectrum of the state of the system, and we apply a method which transforms the system in the domain of the Wigner spectrum. By using this approach we prove that the instantaneous spectrum is made by three components. Two components decay with time, while a third stationary component is reached for large times.