PPolySim OS

Fourier Transform (FFT)

Any signal is a sum of frequencies. Compose one from a few tones and some noise, and the Fourier transform pulls those exact frequencies back out.

Fourier Transform (FFT)Live

Controls

Build a signal from a few sine tones plus noise, and the discrete Fourier transform recovers exactly which frequencies are present — the foundation of all signal processing.

Presets

▶ Run in Python

Data Inspector

Samples256
Peaks at4, 9
TransformDFT

Governing equation

Reading this result: The FFT splits this 2-tone signal into bins: each input sinusoid at 4, 9 appears as a distinct spike, and with noise at 0 the baseline between them stays clean.

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How it works

The discrete Fourier transform converts a time-domain signal into its frequency spectrum, revealing which sinusoids it contains. It underpins audio, image, and radio processing, data compression, and nearly all of modern signal analysis.

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Frequently asked questions

Is this Fourier transform FFT tool really free?▾
Yes. Fourier Transform (FFT) runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?▾
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.