The problem of real time modelling of vibrations at vibro stability of a control system sensors and the generalized problem of generating of stochastic time functions with the required statistical characteristics are considered.

The family of methods of generating of the normal stationary random processes based on 3 variants of approximation of required power spectrum is offered as alternative for forming filters ideology. There are finite measured harmonious representation of random process (1), method of envelopes by V. I. Boonimovich (2) and linear combination of elementary spectrums (3). Appropriate random processes generators have a natural program parallelism and absence of impulse response.

The comparative analysis of methods for a case of broadband vibrations modelling shows that the compromise of requirements of high accuracy and a minimum of computing in the greater measure is answered with the approach combining elements of each of offered methods.

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