IS ANY TRENDLESS NOISE TRACK CAN SERVE AS A NEW SOURCE OF INFORMATION?

Равиль Рашидович Нигматуллин; Рафаэль Касимович Сагдиев

Равиль Рашидович Нигматуллин Kazan National Research Technikal University
Рафаэль Касимович Сагдиев Kazan National Research Technikal University

Keywords: Discrete Geometrical Invariants; 13-dimensional feature space; Trendless noise tracks; ADC(s) comparison.

Abstract

In this paper the authors want to prove that a trendless sequence (TLS) can be used as an additional source of information. This additional information can be extracted from random noise with the help of 3D-DGIs (discrete geometrical invariants) method that allows to reduce 3N random data points to 13 parameters composed from the combination of integer moments and their intercorrelations up to the fourth order inclusive. Actually, they form a «universal» 13-feature space for comparison of one random sequence with another one. Comparison of these parameters associated with different noise tracks allows to use this set of parameters for calibration and other purposes associated with «standard»/reference equipment. As an example, we treated the measured and nonfiltered TLS obtained from ELVIS II workbench (National Instrument Corporation). New method helps to find the differences between 4 types of the recorded TLS(s) samplings (forming the corresponding rectangle matrices) belonging to the chosen ADCs and choose the «best» one among them.

Author Biographies

Равиль Рашидович Нигматуллин, Kazan National Research Technikal University

Doctor of Physics and Mathematics, professor at the Department of Radioelectronics and Informative-Measurement Technics, Kazan National Research Technical University (KNRTU-KAI) named after A.N. Tupolev.

Research interests - dielectric spectroscopy of heterogeneous (self-similar) systems; physics of fractals and fractional calculus and its application to describe relaxation phenomena in complex environments, development of new methods for extracting weak signals from noise in open (complex systems).

Рафаэль Касимович Сагдиев, Kazan National Research Technikal University

Candidate of Sciences degree in Engineering, Associate Professor at the Departament of Radioelectronics and Informative-Measurement Technics, Kazan National Research Technical University (KNRTU-KAI) named after A.N. Tupolev.