Fourier Series Course
Dive into Fourier series from basics to real applications like filter design. Compute coefficients, study spectra, handle bandwidth, and test in Python or MATLAB—transforming periodic signals into powerful tools for maths and engineering projects.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Gain hands-on skills in Fourier series to break down periodic signals, calculate coefficients, and grasp convergence, Gibbs phenomenon, and harmonic decay. Build filters, control bandwidth, and check results with Python or MATLAB. Straightforward explanations, step-by-step guides, and practical checklists take you from theory to everyday engineering solutions.
Elevify advantages
Develop skills
- Master Fourier coefficients: derive Ck, an, bn for piecewise 2π-periodic signals.
- Analyse harmonic spectra: connect decay rates, smoothness, and energy spread.
- Design effective filters: adjust cutoff, ripple, and attenuation using Fourier insights.
- Implement partial sums: calculate, plot, and validate series in Python or MATLAB.
- Diagnose convergence: understand Gibbs, symmetry, 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 workloadWhat our students say
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