Lange J. Fourier Transformation for Signal and System Description 2022

Textbook in PDF format

The authors explain the Fourier transform and its technical applications, especially in signal and system theory. Based on their many years of teaching experience, they aim at helping especially STEM (science, technology, engineering, and mathematics) students as well as graduated professionals to better understand the subject. The authors also point out the importance of a deeper understanding, as all modern digital technologies such as sound and image recording and storage, radio and television, mobile telephony, signal transmission for the Internet, modern control techniques for vehicles or aircrafts – are largely based on the Fourier transform.
About Sine, Cosine, and Other Periodic Functions Series
From the Fourier Series to the Fourier Integral
The Fourier Transformation of Standard Signals
Properties of the Fourier Transform and Approximation Relations
The Fourier Transformation as a Tool for the Description of Signals and Systems
Application of the Fourier Transform to Stochastic Signals
Receive Filter (Wiener Filter)