Fourier Series Course
Gain expertise in Fourier series from basic principles to filter design applications. Learn to determine coefficients, evaluate spectra, handle bandwidth, and validate results in Python or MATLAB, transforming periodic signals into accurate tools for advanced maths and engineering projects.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This targeted Fourier Series Course equips you with essential tools to examine periodic signals, calculate coefficients, and grasp convergence, Gibbs phenomena, and harmonic decay patterns. You'll create filters, control bandwidth, and confirm outcomes using Python or MATLAB. Straightforward derivations, practical guides, and ready-to-use checklists enable swift progression from theory to effective real-world uses.
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: specify cutoff, ripple, and attenuation using Fourier insights.
- Implement partial sums: calculate, visualise, and check series in Python or MATLAB.
- Diagnose convergence: understand Gibbs effects, 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 workload.What our students say
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