PPolySim OS

DFT Spectrum Analysis

A tangle of overlapping waves hides simple frequencies inside. Watch the DFT untangle a messy signal into sharp spectral peaks.

DFT Spectrum AnalysisLive

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The Discrete Fourier Transform decomposes a signal into its constituent frequencies. A messy time-domain wave becomes clean peaks in the spectrum — the mathematics behind audio equalizers, MRI, and Wi-Fi. Educational tool.

▶ Run in Python

Data Inspector

Peak 15 cycles
Peak 212 cycles
Resolution0.008 cyc/sample

Governing equation

Reading this result: Two clean sinusoids produce two crisp peaks at their frequencies; peak height tracks amplitude, which is exactly how an equalizer reads a signal.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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How it works

The Discrete Fourier Transform expresses a sampled signal as a sum of sinusoids, revealing which frequencies are present and how strong. It powers spectrum analyzers, audio equalizers, image compression, and countless measurement tools. Educational tool.

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The math, the assumptions, real-world uses, or a code translation — explained for this exact simulation.

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Frequently asked questions

Is this dft spectrum analyzer tool really free?▾
Yes. DFT Spectrum Analysis 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.