How to read the trendless sequences: the "universal" set of quantitative parameters

Abstract

We want to demonstrate a set of “universal” parameters that help to read quantitatively any trendless sequence (TLS). This set will be very useful in order to select the “pattern” noise from the tested one and thereby to solve the problem of calibration of random fluctuations and express some qualitative inputs in terms of these “universal” parameters. This set of quantitative parameters allows to compare the TLS(s) of different nature (acoustic, mechanical, electrochemical, vibrational and etc.) with each other. Using the algorithm, we analysed the acoustic noise recorded from the frictionless bearings (FB) in a normal state and noise from the FBs with artificially created defects. The proposed algorithm allows detecting the desired defect that initially had a qualitative description only. We do suppose that the proposed “universal” scheme free from uncontrollable errors can find a wide application in solution of many practical problems.