Investigation of Dynamic Processes using Analysis Forms of Frequency Decomposition of the Signal based on the Prony‘s Method

The paper is concerned with the method of processing experimental data obtained in the form of a dynamic signal. While performing the work in Bauman Moscow State Technical University on making special precision machining equipment to research the vibratory processes occurring in the machine tool during cutting and significantly influence the accuracy of the machined parts, there was a need to find new and effective method of processing the vibration measurements. The results of the spectral analysis can be considered informative, i. e. they allow for a physical interpretation. To evaluate non-stationary exponential signal parameters is one of the most common problems in various fields of technology. This is due to the fact that the response of a linear system to the impulse action is the sum of such signals. By estimating the parameters of the signals on the output system we can solve the task of identifying the system and its state. Using Fourier transform does not always give good results because it was originally intended for estimating the signal spectrum rather than frequency and is not statistically stable in classical variant. The article describes fundamentals of the developed method that is based on algorithms of the Prony's method and possibilities of its usage in medicine. There is initial data obtained in the form of dynamic signals in the study of a healthy kidney and a kidney having pathological changes. The study gives the results of a modal analysis in the forms of frequency decompositions of these signals based on the Prony's method

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