Fourier Series Course
This course builds strong expertise in Fourier series, starting from basic principles up to advanced filter design. Participants will learn to determine coefficients, examine harmonic spectra, optimise bandwidth, and confirm results through Python or MATLAB implementations, transforming periodic signal analysis into effective tools for mathematics and engineering applications.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Gain essential skills in Fourier series to analyse periodic signals, calculate coefficients, explore convergence including Gibbs phenomenon and harmonic decay. Build filters, control bandwidth, and validate outcomes using Python or MATLAB. Structured explanations, step-by-step methods, and practical checklists enable swift application from theory to real engineering solutions.
Elevify advantages
Develop skills
- Master derivation of Fourier coefficients Ck, an, bn for piecewise 2π-periodic functions.
- Examine harmonic spectra linking decay rates, function smoothness, and energy spread.
- Develop practical filters by defining cutoff, ripple, and attenuation using Fourier insights.
- Execute partial sum computations, plotting, and validation in Python or MATLAB.
- Evaluate convergence issues like Gibbs phenomenon, symmetry effects, and errors against harmonic count.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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