Fourier Series Course
Gain expertise in Fourier series, progressing from core principles to filter design. Acquire skills to determine coefficients, evaluate spectra, optimise bandwidth, and confirm results in Python or MATLAB, transforming periodic signals into accurate tools for advanced mathematics and engineering applications.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This targeted Fourier Series course equips you with essential techniques to examine periodic signals, calculate coefficients, and grasp convergence, Gibbs phenomena, and harmonic decay. You will create filters, control bandwidth, and validate 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.
- Examine harmonic spectra: connect decay rates, smoothness, and energy distribution.
- Develop practical filters: establish cutoff, ripple, and attenuation using Fourier data.
- Execute partial sums: calculate, visualise, and check series in Python or MATLAB.
- Assess convergence: analyse Gibbs, symmetry, and error 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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