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EnglishWe have previously presented a method to write equations for the Wigner distribution corresponding to the solution of a linear differential equation. We extend this method to arbitrary time-frequency distributions, the Short Time Fourier Transform, and the wavelet transform. Also, we apply the method to stochastic signals and address a number of applications including Brownian motion. We obtain the Wigner distribution for Brownian motion by solving the Langevin equation and also by using our method. We obtain exact solutions.
Time-frequency characterization of random systems / GALLEANI L.; COHEN L. - STAMPA. - 5205(2003), pp. 21-37. ((Intervento presentato al convegno SPIE’s 48th Annual Meeting tenutosi a San Diego, USA nel 3-8 August, 2003 [10.1117/12.513900].
| Titolo: | Time-frequency characterization of random systems | |
| Autori: | ||
| Data di pubblicazione: | 2003 | |
| Abstract: | We have previously presented a method to write equations for the Wigner distribution correspondin...g to the solution of a linear differential equation. We extend this method to arbitrary time-frequency distributions, the Short Time Fourier Transform, and the wavelet transform. Also, we apply the method to stochastic signals and address a number of applications including Brownian motion. We obtain the Wigner distribution for Brownian motion by solving the Langevin equation and also by using our method. We obtain exact solutions. | |
| ISBN: | 9780819450784 | |
| Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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