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Application of the 3D-DGI Method for Selection of the â??Bestâ? ADC & Amplifier Combination From the Measured Trendless Sequences

Abstract

RR Nigmatullin, RK Sagdiev

3D-DGI (Discrete Geometrical Invariants) method allows to reduce initial rectangle matrices N×M (N-is number of data points, M < N is number of columns) to a matrix M× P (P=13), where P – represents a set of invariants combined from of the first, second, third and the fourth moments inclusive. This “universal” platform allows to compare any random trendless sequences (TLS) with each other. The further analysis shows that one can extract only two significant parameters/criteria (free from treatment and model errors) for comparison of TLS recorded from the given set of ADCs. The experimental data set represented 15 rectangle matrices with parameters N=20000, M=150 (filtered in the region 1.1-5.0 kHz) and 15 matrices that were not subjected to the filtration procedure. The proposed algorithm given in the paper allows to select the “best” ADC&Amplifier combination from the given ones based on analysis of their TLS(s) and proposed criteria. The authors think that the algorithm can find a wide application in the industrial electronics based on the simplicity, reproducibility and reliability of the proposed procedure.

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