This pages contains exercises to practice computing the Fourier series of a CT signal

Recall the basic formulas

Fourier series of a continuous-time signal x(t) periodic with period T

x(t)=\sum_{n=-\infty}^\infty a_n e^{j \frac{2\pi}{T}nt}

Fourier series coefficients of a continuous-time signal x(t) periodic with period T

a_n=\frac{1}{T} \int_{0}^T x(t) e^{-j \frac{2\pi}{T}nt}

Case 1: For some periodic functions, the Fourier series coefficients must be obtained by integration

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Case 2: Some periodic functions (e.g. sine and cosine) can be directly expanded into a linear combination of complex exponentials

The following pages contain a periodic signal along with a computation of the Fourier series coefficients of that signal. These were contributed by your peers in ECE301. Check whether the answers are correct. Are all the steps explained clearly and logically? Do you have questions? Feel free to comment directly on the pages!

Questions

What is the difference between the Fourier series of a signal, and the Fourier series coefficients for a signal?
- Answer here

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Recommended exercise Fourier series computation - Rhea

Contents

This pages contains exercises to practice computing the Fourier series of a CT signal

Recall the basic formulas

Case 1: For some periodic functions, the Fourier series coefficients must be obtained by integration

Case 2: Some periodic functions (e.g. sine and cosine) can be directly expanded into a linear combination of complex exponentials

Questions

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