Theory of Measurement

Lecturer:

Tutor:

Supervisor:

Department of Measurement

Synopsis:

After an introduction devoted to fundamentals of representation and information theory of measurement, explication is focussed on measurable quantities, their units and standards. Main attention is paid to methods of evaluating measurement errors and uncertainties. Various aspects of statistical analysis of measurement data are discussed.

Requirements:

Syllabus of lectures:

1. Role of measurement in modern science and technology

2. Physical quantities, their units and standards

3. Quantum standards of voltage and resistance. Secondary standards

4. Transfer standards for precision electrical measurements

5. Collective standards and optimum schemes of comparing their constituents

6. Evaluating the accuracy of direct static measurements

7. Procedures for eliminating random and systematic errors

8. Statistical analysis of measurement data

9. Software for statistical analysis of measurement data

10. Errors of indirect measurements

11. Measurement uncertainties. Type A and type B standard uncertainties

12. Basic operations on measurement signals

13. Errorrs of digital measurements caused by quantization and sampling

14. Errors of dynamic measurements and possibilities of their correction

Syllabus of tutorials:

1. Primary standards of resistance and capacitance

2. Primary standards of resistance and capacitance

3. Characteristics of secondary R, C, L and M standards

4. Characteristics of secondary R, C, L and M standards

5. Characteristics of secondary R, C, L and M standards

6. Thermoelectric and Hamon transfer standards

7. Thermoelectric and Hamon transfer standards

8. Collective voltage standard

9. Examples of measurement error calculation

10. Examples of measurement error calculation

11. Statistical analysis of measurement data

12. Statistical analysis of measurement data

13. Examples of measurement uncertainty calculation

14. Examples of measurement uncertainty calculation

Study Objective:

Study materials:

1. Phanzagl J., Baumann V. and Huber H.: Theory of measurement. Physica

Verlag, Würzburg - Vienna 1971

2. Dietrich C. F.: Uncertainty, calibration and probability. Adam Hilger,

Bristol 1991

3. Guide to the expression of uncertainty in measurement. ISO, Geneva 1993

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: