Digital simulator of a random process using Markov model

Alexey Nikolaevich Glushkov, M. Y. Kalinin, Vladimir Petrovich Litvinenko, Yu.V. Litvinenko · Journal of Physics Conference Series · 2020

Abstract Sources (generators) of random processes (signals) are widely used in various technology areas as software modules in computer simulations or hardware blocks in experimental works. The equipment can be built on analog or digital bases. Noise physical sources (generators) form random processes of a certain type (Gaussian noise), which properties and characteristics are set very approximately. Digital generators (sensors) of pseudo-random processes have better technical characteristics, but the range of their types is very limited. The random signal simulator should form its values with specified statistical characteristics (probability distribution and its parameters, correlation properties, etc.) and the possibility of changing them. From this point of view, the Markov model of random process (a simple Markov chain) provides good results. It is the base for a structural scheme of the simple digital algorithm to form pseudo-random numbers and the hardware simulator implementation, to research its capabilities and effectiveness.

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