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The motion of an oscillator with damping excited by impulses has the form ξt = 1 √ a2−b2 ∑ 0<ti<t ηi exp (−b(t− ti)) sin (√ a2 − b2(t− ti) ) , where ξt is the deviation of the oscillator from its balanced position and ti is the time of action of an impulse of the value ηi. Under appropriate assumptions regarding random variables {ti+1 − ti}i=1 and {ηi}i=1ξt is a process which, in the limit as t tends to infinity, is stationary and ergodic. This fact allows us to derive a linear system of equations determining the approximate distribution of variables ηi whenever the course of the oscillator is known in a sufficiently large interval of time. These equations will be verified in the experiment executed on an electric oscillator RLC of high frequency.

Determining the Distribution of Stochastic Impulses Acting on a High Frequency System through an Analysis of Its Vibrations