Measurement and Data Processing

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Code Completion Credits Range
12ZMDT Z,ZK 2 1P+1C

It is not possible to register for the course 12ZMDT if the student is concurrently registered for or has already completed the course 12ZMD (mutually exclusive courses).

Garant předmětu:
Ivan Procházka
Josef Blažej, Ivan Procházka
Josef Blažej, Ivan Procházka
Department of Physical Electronics

Basic knowledge for the measurements and data processing and result interpretation: errors, precision, accuracy, normal distribution and its propeties, data fitting, separation of the signal from the noise.


Basic knowledge in mathematics and physics on the level of Bc courses in the 1st year at CTU in Prague and general knowledge of Fourier transform.

Syllabus of lectures:

1.Definition of terms

2.Type of measurements and related error sources

3.Normal errors distribution

4.Normal errors distribution consequences

5.Data fitting and smoothing: interpolation, fitting, least square algorithm, mini-max methods, weighting methods, test #1

6.Data fitting and smoothing: parameters estimate, fitting strategy, solution stability

7.Data fitting and smoothing: polynomial fitting, 'best fitting' polynomial, splines, demo

8.Data editing: normal data distribution, 3*sigma, relation to data fitting, deviations from normal distribution, tight editing criteria, test #2

9.Signal mining: noise properties, correlation, lock-in measurements

10.Signal mining methods: Correlation estimator, Fourier transform application

11.Signal mining methods - examples

12.Review, test

Syllabus of tutorials:

like lecture

Study Objective:

Knowledge: The course objektive is gaining of knowledge in the field of data processing and correct interpretation of results.

Skills: The student will be able to process and correctly interpret the measured data and observations

Study materials:

Key references:

[1] P. Hansen, V. Pereyra, G. Scherer, Least Squares Data Fitting with Applications, Baltimore, MD, USA:JHU Press, 2013, ISBN 978-1-4214-0786-9.

[2] J. Mandel, The Statistical Analysis of Experimental Data, Dover Publications 1984, ISBN: 978-0486646664.

Recommended references:

[3] http://kfe.fjfi.cvut.cz/~blazej/en/edu/index.html

Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
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The course is a part of the following study plans:
Data valid to 2024-03-02
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