Engineering Signal Analysis: From Fourier to filtering: Exercises

Authors

Max Mulder
Department of Control and Operations, Faculty of Aerospace Engineering, Delft University of Technology, The Netherlands
https://orcid.org/0000-0002-0932-3979
Rowenna Wijlens
Department of Control and Operations, Faculty of Aerospace Engineering, Delft University of Technology, The Netherlands
https://orcid.org/0000-0002-3742-5980
Christian Tiberius
Department of Geoscience and Remote Sensing, Faculty of Civil Engineering and Geosciences, Delft University of Technology, The Netherlands
https://orcid.org/0000-0002-2771-2978

Keywords:

Fourier Series, Fourier transform, sampling, discrete Fourier transform, spectral estimation, linear systems, filtering

Synopsis

This book, Exercises, contains hundreds of exercises, including answers and worked examples, for studying and practicing the theory. Python scripts illustrate how to perform spectral signal analysis on a computer.


The companion book, Theory, is an introductory textbook on the analysis of signals in time and frequency. It takes an engineer’s perspective and discusses how to characterize, analyze and operate on signals. The basic theoretical concepts, Fourier series and transform, are explained in continuous time. It then introduces discrete-time signals, addressing how sampling and finite signal duration affect spectral analysis. It discusses the discrete Fourier transform and its use in spectral estimation. The Theory book concludes with an introduction to linear systems and signal filtering.

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Author Biographies

Max Mulder, Department of Control and Operations, Faculty of Aerospace Engineering, Delft University of Technology, The Netherlands

Max Mulder is Full Professor Aerospace Human-Machine Systems and has over 30 years of experience in teaching signal analysis, systems, and control theory, mostly in the aerospace domain.

Rowenna Wijlens, Department of Control and Operations, Faculty of Aerospace Engineering, Delft University of Technology, The Netherlands

Rowenna Wijlens completed her Ph.D. research in control-theoretic modeling of motion sickness and has 10 years of experience in signal analysis and control theory, including 5 years of involvement in teaching students these subjects.

Christian Tiberius, Department of Geoscience and Remote Sensing, Faculty of Civil Engineering and Geosciences, Delft University of Technology, The Netherlands

Christian Tiberius is Associate Professor in the field of navigation and has over 20 years of experience in teaching the subject of signal analysis in the domains of applied earth science and civil engineering.

References

R.E. Ziemer, W.H. Tranter, and D.R. Fannin, Signals & systems – continuous and discrete, 4th ed. (Prentice Hall, 1998).

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Published

April 14, 2026

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Details about this monograph

ISBN-13 (15)

978-94-6518-284-1

Publication date (01)

2026-04-14

How to Cite

Mulder, M., Wijlens, R., & Tiberius, C. (2026). Engineering Signal Analysis: From Fourier to filtering: Exercises. TU Delft OPEN Books. https://doi.org/10.59490/mt.255