MATHEMATICAL MODEL OF VOCAL SIGNALS FOR THE TASKS OF HUMAN VOCAL APPARATUS DIAGNOSTIC

Abstract

The necessity of voiced fricative sounds processing is grounded for the problem of human vocal apparatus diagnosis.The analysis of possibility of fricative sound modeling as the determined and stationary random process is conducted. The inadequacy of these models is found out for the task of vocal organs diagnostics on the early stages of disease, because they do not take into account the signal periodicity, eventuality of forms of pronunciation violation, related to the functional state of vocal organs. The mathematical model of fricative sounds as the periodically correlated stochastic process is grounded with the use of energy theory of stochastic signals, which takes into account a time structure, combination of eventuality and periodicity of signal.