Abstract
The paper is devoted to the model construction for input stochastic processes of a time-invariant linear system with a real-valued square-integrable impulse response function.
The processes are considered as Gaussian stochastic processes with discrete spectrum.
The response on the system is supposed to be an output process.
We obtain the conditions under which the constructed model approximates a Gaussian stochastic process with given accuracy and reliability in the Banach space
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