Fourier Series Course
Gain mastery in Fourier series, progressing from core principles to filter design. Compute coefficients, dissect spectra, optimize bandwidth, and confirm results in Python or MATLAB, transforming periodic signals into powerful tools for engineering and advanced mathematics applications.

4 to 360h flexible workload
certificate valid 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 phenomenon, and harmonic decay. You'll build filters, control bandwidth, and validate outcomes using Python or MATLAB. Straightforward derivations, step-by-step guides, and practical checklists enable swift application of theory to real-world engineering and math problems.
Elevify advantages
Develop skills
- Master Fourier coefficients: calculate Ck, an, bn for piecewise 2π-periodic functions.
- Analyze harmonic spectra: connect decay rates, function smoothness, and energy spread.
- Design effective filters: define cutoff frequencies, ripple, and attenuation using Fourier insights.
- Implement partial sums: generate, visualize, and check series accuracy in Python or MATLAB.
- Diagnose convergence issues: evaluate Gibbs phenomenon, symmetry effects, and errors by 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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