The mathematical model of electroenсephalographic and electromyographic signals for the task of human communicative function restoration

Abstract

The article is devoted to the questions of substantiation the mathematical model of the electroencephalographic signal, registered from the surface of head near the speech centers of brain, and the electromyographic signal, registered from the neck surface near the vocal folds, for the problem of indirect restoration the human communicative function. The possibility of representing these signals in the form of a stationary random process is analyzed and it is established that such a model is not adequate to the research problem, in particular, to identify the time moments of emergence the signs of the communicative function implementation. The mathematical model of electroencephalographic and electromyographic signals in the form of a piecewise stationary random process, that is adequate to their physical nature and research tasks, is substantiated.