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2. Fourier Series and Transform

  • 2025
  • OriginalPaper
  • Chapter
Published in:
Author
Farzin Asadi
Published in
A Problem-Solving Approach to Electric Circuits
Publisher
Springer Nature Switzerland

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Abstract

This chapter delves into the Fourier Series and Transform, essential tools for analyzing periodic and non-periodic signals in electrical engineering. It begins with an introduction to Fourier Series, explaining how periodic functions can be represented as sums of sine and cosine functions. The chapter covers special cases for even and odd functions, and provides a review of important relationships and properties. It then transitions to the Fourier Transform, detailing how time-domain signals can be converted into frequency-domain representations. The chapter includes solved examples and exercises, demonstrating the application of these concepts in practical scenarios. Additionally, it provides MATLAB code for calculating Fourier series coefficients and verifying results, making it a comprehensive guide for professionals in the field.
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previous chapter Frequency Response and Circuit Analysis in the s-Domain
next chapter Natural Frequencies
Title
Fourier Series and Transform
Author
Farzin Asadi
Copyright Year
2025
Book
A Problem-Solving Approach to Electric Circuits

Print ISBN: 978-3-031-96585-2

Electronic ISBN: 978-3-031-96586-9

Copyright Year: 2025

DOI
https://doi.org/10.1007/978-3-031-96586-9_2
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