Fourier Series Basics : Example 1

ohmymaths

May 7, 20211 min read

Question:

Convert the following (finite) real Fourier series

to a (finite) complex Fourier series. What are the complex Fourier coefficients Cn?

Answer:

Use Euler's standard formulas:

Line (5) is the complex Fourier series. From it we can directly read off the complex Fourier coefficients:

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