For K-12 Students · Sampling & Nyquist
Sampling & Nyquist for a Bode plot
Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a Bode plot live below — adjust the inputs and watch it respond, right in your browser.
Sampling & NyquistLive
when digital gets it wrong
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The Nyquist–Shannon theorem says you must sample faster than twice the highest frequency. Sample too slowly and a high frequency masquerades as a low one — aliasing — which is why anti-alias filters guard every ADC. Educational tool.
Data Inspector
Nyquist rate10 Hz
Samplingtoo slow ⚠
Apparent frequency3.0 Hz
Governing equation
Reading this result: Undersampled: fs=8 Hz is below the 10 Hz Nyquist rate, so the 5 Hz tone masquerades as a false 3.0 Hz signal.
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Frequently asked questions
- Is this good for k-12 students?
- Yes — this version of "Sampling & Nyquist for a Bode plot" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.