8 September 2006 Time-frequency analysis of classical and quantum noise
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We use the characteristic function method to obtain the probability distribution for the random force in the independent harmonic oscillator model. This model encompasses many important physical problems. The general characteristic function method is reviewed for the classical case and formulated for the quantum mechanical case. We obtain the probability distribution at one time and also the joint distribution of force for two different times.
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Y. Yang, L. Cohen, "Time-frequency analysis of classical and quantum noise", Proc. SPIE 6313, Advanced Signal Processing Algorithms, Architectures, and Implementations XVI, 63130O (8 September 2006); doi: 10.1117/12.684024; https://doi.org/10.1117/12.684024

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