Fourier Series Explorer
Draw custom waveforms and see them decomposed into Fourier series in real time. Visualize how frequencies combine.
Created by inverter3p
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How to Use
• Draw waveforms by clicking and dragging your mouse on the left canvas - the Fourier series updates instantly as you draw • Set X-Max to define your signal's period and Y-Max for amplitude range before drawing or using presets • Use preset buttons (Square, Triangle, Sawtooth) to generate classic waveform examples • Plot precise waveforms by entering x,y coordinates in the text area (one point per line) and clicking "Plot from Points" • Adjust the Harmonics slider to see how adding more sine/cosine terms improves the reconstructed wave accuracy • View the frequency spectrum in the bottom chart to see the amplitude of each harmonic component • If the reconstructed wave gets clipped due to high amplitudes, click the "Auto-scale" button to see the full, unclipped waveform • The tool automatically scales axes when plotting points that exceed current X-Max or Y-Max values Goal: Learn how complex periodic signals can be broken down into simple sine and cosine waves through interactive visualization.