Spurious-Free Dynamic Range

SFDR = 20 · log10(Vsignal / Vspur)

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Result

Formula

SFDR = 20 × log10(Vsignal / Vspur)

Description

Spurious-free dynamic range is the ratio of the wanted signal to the largest unwanted spur (harmonic or spurious tone) in the spectrum. It defines the usable dynamic range of a converter or receiver: a small signal can only be detected if it sits above the worst spur. SFDR is critical in communications and instrumentation where weak signals must be found near strong ones.

Variables

  • SFDR — Spurious-free dynamic range (dB)
  • Vsignal — Amplitude of the fundamental (V)
  • Vspur — Amplitude of the worst spurious tone (V)

Practical Notes

SFDR is often specified separately from SNR because a single spur, not the broadband noise, limits the ability to resolve small signals. Dithering can trade SFDR against noise floor.

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