Abstract

This paper briefly looks into the role and extent of mathematical modelling in the design and analysis of measurement systems, especially measurement sub-systems in the form of instruments and instrument elements. These fall within the classical domain of hard measurement (physical, strongly-defined measurement). It also examines the role and use of mathematical modelling in the area of soft measurement (non-physical, weakly defined measurement). These constitute two sub-sets of widely-defined measurement. Based on a number of examples it demonstrates the use of modern modelling techniques in the design and analysis of sub-systems in measurement technology. In doing so, it focuses on the scope and importance of physical modelling at a sub-system level, which ultimately contributes to modelling activities at a global systems level.

Highlights

  • With the ever increasing availability of computing technology significant progress is being made in the application of mathematical modelling techniques, especially numerical techniques for modelling, CAD, performance prediction and validation of measurement systems and sub-systems

  • Mathematical modelling is a key enabling tool and a means by which the functioning of systems and sub-systems can be predicted from a description of its physical principles, geometric features and material properties

  • Mathematical modelling has been playing and it will continue to play an important role in measurement theory and practice

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Summary

Introduction

With the ever increasing availability of computing technology significant progress is being made in the application of mathematical modelling techniques, especially numerical techniques for modelling, CAD, performance prediction and validation of measurement systems and sub-systems. Mathematical modelling is a key enabling tool and a means by which the functioning of systems and sub-systems can be predicted from a description of its physical principles, geometric features and material properties. It is widely understood that a model of a system is the description of the system in a formal language, such that relations between symbols in statements in the language imply and are implied by relations between the obq I presented a shorter version of this paper, our last joint paper at the IMEKO Joint TC1 + TC7 + TC13 Symposium, Jena, Germany, 31 August-2 September, 2011 almost at the same time as Ludwik’s funeral took place in London

Mathematical models of instruments as measurement sub-systems
Evolution of mathematical modelling of instruments as measurement sub-systems
Mathematical modelling in soft measurement systems
Physical modelling of measurement sub-systems – generic approach
Conclusions
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