🎵 Фур'є-синтез

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Амплітуди гармонік (aₙ)

Фур'є показав: БУДЬ-ЯКА форма хвилі = сума синусів! Зміни амплітуди гармонік і слухай результат.

〰️ Fourier Analysis

Visualise how any signal can be decomposed into a sum of simple sine waves. Draw a custom waveform and watch spinning circles (epicycles) reconstruct it — the core idea behind Fourier analysis.

🔬 What It Demonstrates

Discrete Fourier Transform decomposes a signal into frequency components. Each spinning circle represents one frequency, amplitude and phase.

🎮 How to Use

Draw a shape or select a preset. Watch epicycles trace the shape. Add or remove frequency terms to see how accuracy improves.

💡 Did You Know?

Fourier analysis is everywhere: JPEG compression, MP3 audio, MRI scanning, seismology, speech recognition — invented by Joseph Fourier in 1822 to study heat flow.