Idejni projekat generatora analognog diskretnog uniformnog šuma

Bojan Vujičić,Dragan Pejić,Vladimir Vujičić,Aleksandar Radonjić

doi:10.5937/jpea25-35361

Abstract

The paper presents the basic idea of the construction and a practical realization of a novel analog discrete uniform noise generator. The source of noise is a carbon resistor, the noise signal is linearly amplified and its value is limited in the finite small range [xg, xg]. The probability density function (PDF) of the carbon resistor thermal noise in that region is square one. By narrowing the symmetric allowable gap (interval) around zero, PDF of the noise approaches a uniform distribution. The factor of deviation from the uniform distribution is precisely defined and its value is practically negligible. In addition, the paper discusses the application of the proposed dither noise, both in the two-bit and in the multi-bit stochastic digital measurement method (SDMM). It is shown that noise is more suitable for application in multi-bit SDMM, because it is less sensitive to deviations from the uniform distribution.

Highlights

The motivation for writing this paper is the need for a quality analog discrete uniform noise generator (ADUNG) that would find application in stochastic digital measurements (SDMs) (Vujicic V. et al, 1999), (Vujicic V. et al, 2009), (Vujicic V. et al, 2014), (Radonjic. et al, 2012), (Sovilj P. et al, 2016), (Urekar M. et al, 2017)
The closer the value of |xg| is to zero, the distribution from Fig. 3 is closer to the uniform area. This idea can be used to design the ADUNG, but care must be taken of how the T/H circuit will be designed
The proposal, presented in the paper, is intended for the scientific and professional public in the field of measurement and metrology because it raises the frequency range of SDM method (SDMM) by more than an order of magnitude and practically provides analog resolution of the dither signal

Summary

Introduction

The motivation for writing this paper is the need for a quality analog discrete uniform noise generator (ADUNG) that would find application in stochastic digital measurements (SDMs) (Vujicic V. et al, 1999), (Vujicic V. et al, 2009), (Vujicic V. et al, 2014), (Radonjic. et al, 2012), (Sovilj P. et al, 2016), (Urekar M. et al, 2017). In (Sovilj P. et al, 2019) a strict definition of simple analog-to-digital (A/D) conversion and simple signal processing within a simple SDM method (SDMM) is given. Both mentioned processes are either one-bit or two-bit. This fact implies simple hardware and only a few sources of systematic error that can be identified and eliminated (Urekar M. et al, 2017), (Vujicic V. et al, 2020). The price for this is twice as complex hardware, and twice as many sources of systematic error For these reasons, the author of (Urekar M., 2018) concluded that the optimal SDMM resolution is three bits. The effective processing speed is nine times higher compared to a two-bit SDMM

Methods

Results

Conclusion