Asymptotic Behavior of the Correlation Function of a Randomly Modulated Oscillator

Fumio Hasegawa · Journal of the Physical Society of Japan · 1967

Asymptotic behavior of the correlation function of a randomly modulated oscillator is examined. When the frequency modulation is a stationary stochastic process such as a Gaussian process or a Poisson impulse, it is proved that the correlation function approaches asymptotically to a simple exponential function, the coefficients of which can be given in an explicit form.

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