Enrollment in year 3.
Passed problem-solving examination is a prerequisite for the theoretical part of the examination.
Enrollment in year 3.
Passed problem-solving examination is a prerequisite for the theoretical part of the examination.
Introduction. Physical quantities defined by measurement procedure, units, measurements in animal world (chameleon, bat, owl,…), working definition of measurement and measurement system.
Optimal feedback. Systematic and random errors, normal distribution, combining of measurements with different uncertainty, measurement of state variables of a system,
discrete optimal filter for linear systems – Kalman filter, transition to continuous formulation, white noise, thermal noise of a resistor, notion of spectral density.
Simplification of optimal feedback. Systems of first, second and higher orders, transfer function, response of a system to standard inputs, Bode plots. Measurement with response to periodic excitation of a system and phase sensitive detection, phase locked loop, locking on resonance peak and cesium clock, methods of least squares, compensation measurement systems.
Impact of measurement on the system. Input and output impedance, Thevenin's theorem, instrumentation amplifier, transmission of signals by cables, characteristic impedance.
Measurement and statistics. Testing of hypotheses, statistics T, chi-square, F, U, interval estimation of parameters, goodness-of-fit tests – Pearson's chi-square, test of Kolmogorov.
Measurements of important quantities. Measurement of frequency and time, displacements, temperature, sound, force, acceleration, angular velocity.
A. Likar, Osnove fizikalnih merjenj in merilnih sistemov, DMFA, Izbrana poglavja iz fizike 26, 2011
A. Likar, D. Cvetko, G. Planinšič, Zgledi iz fizikalnih merjenj, DMFA, Izbrana poglavja iz fizike 43, 2011
P. Horowitz, W. Hill, The art of electronics, 2nd (3rd) ed., Cambridge University Press, 1990 (2013)
E. O. Doebelin, Measurement systems, 5th ed. , McGrow-Hill, 2004
The subject offers basic knowledge physicist needs working in development or research laboratory. The emphasis is on proper merge of measured data with dynamical low which is known for the measured system to a certain degree. Diverse measurement practices are only special cases of this basic scheme.
Knowledge and understanding: The syllabus gives understanding on how measurement systems should be built from the first principles which enables the students for autonomous planning of such systems.
Application: Reliable measurement is one of the basic skills of a physicist.
Reflection: Expert in measurement science applies the bottom-up approach to tackle a specific problem. This is by far the best approach to demanding technical challenges.
Transferable skills: Skillful handling of any data can be rewarding in many areas outside physics.
Lectures, tutorials, homework and consultations.
2 written tests (mid-term and end-term) applied towards the problem-solving examination, problem-solving examination
Theoretical examination
grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)