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For Students · DFT Spectrum Analysis

DFT Spectrum Analysis for an op-amp filter

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate an op-amp filter live below — adjust the inputs and watch it respond, right in your browser.

DFT Spectrum AnalysisLive

finding hidden frequencies

Controls

Presets

Frequency 1 (cycles)

Frequency 2 (cycles)

Amplitude 2

Noise

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

X_{k} = n = 0 \sum N - 1 x_{n} e^{- 2 π ik n / N} (N = 128)

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.

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Frequently asked questions

Is this good for students?: Yes — this version of "DFT Spectrum Analysis for an op-amp filter" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.