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Audio fundamentals

Nyquist theorem

The Nyquist–Shannon theorem states that a digital system can perfectly capture frequencies up to half its sample rate — the 'Nyquist frequency'.

This is the mathematical reason 44.1 kHz suffices for 20 kHz hearing, and why capturing above Nyquist requires filtering: content beyond the limit does not disappear, it aliases into false frequencies.

Related terms

Frequently asked

What is Nyquist theorem?

The Nyquist–Shannon theorem states that a digital system can perfectly capture frequencies up to half its sample rate — the 'Nyquist frequency'.

Why does Nyquist theorem matter?

This is the mathematical reason 44.1 kHz suffices for 20 kHz hearing, and why capturing above Nyquist requires filtering: content beyond the limit does not disappear, it aliases into false frequencies.

What terms are related to Nyquist theorem?

Closely related concepts: Sample rate, Aliasing — each has its own entry in this glossary.