Abstract

In this paper the uncertainty of a robust photometer circuit (RPC) was estimated. Here, the RPC was considered as a measurement system, having input quantities that were inexactly known, and output quantities that consequently were also inexactly known. Input quantities represent information obtained from calibration certificates, specifications of manufacturers, and tabulated data. Output quantities describe the transfer function of the electrical part of the photodiode. Input quantities were the electronic components of the RPC, the parameters of the model of the photodiode and its sensitivity at 670 nm. The output quantities were the coefficients of both numerator and denominator of the closed-loop transfer function of the RPC. As an example, the gain and phase shift of the RPC versus frequency was evaluated from the transfer function, with their uncertainties and correlation coefficient. Results confirm the robustness of photodiode design.

Highlights

  • IntroductionIt is impossible to identify all of them, the most significant can usually be identified and the magnitude of their respective effects on the measurement result can be estimated

  • There are many parameters that may affect a measurement result

  • The aim of this paper is to estimate the uncertainty of the robust photometer circuit (RPC) transfer function and show how from this information it is possible to estimate other RPC parameters, such as its gain and phase response, with their respective uncertainties

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Summary

Introduction

It is impossible to identify all of them, the most significant can usually be identified and the magnitude of their respective effects on the measurement result can be estimated. The way they impact the measurement result can, in many cases, be mathematically modeled [1]. A detailed explanation of the electronic design of the RPC was given in [3]. The exact closed-loop transfer function (CLTF) of this complex feedbackcontrolled system was given in [4], a noise voltage analysis of it was carried out in [5] and an input-out transfer function analysis was carried out in [6]

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