THD+N Percent

Compute THD+N percentage from the RMS residual and fundamental as thdnPercent = sqrt(harmonicsAndNoiseV^2) / fundamentalV * 100.

Description

Compute THD+N percentage from the RMS residual and fundamental as thdnPercent = sqrt(harmonicsAndNoiseV^2) / fundamentalV * 100.

THD+N Percent: Compute THD+N percentage from the RMS residual and fundamental as thdnPercent = sqrt(harmonicsAndNoiseV^2) / fundamentalV * 100.

When to use THD+N Percent

Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

Fundamental (V)
RMS amplitude of the fundamental tone.
Harmonics + Noise (V)
Total RMS residual of harmonics plus noise.

How THD+N Percent works

Compute THD+N percentage from the RMS residual and fundamental as thdnPercent = sqrt(harmonicsAndNoiseV^2) / fundamentalV * 100. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

THD+N (%)
THD+N ratio expressed as a percentage.

Limitations and assumptions

  • Audio calculations must distinguish peak, RMS, dBu, dBV, acoustic SPL, electrical power, nominal impedance, sensitivity, and weighting. Loudspeaker impedance varies with frequency, room response changes SPL, and clipping or thermal limits are not represented by a single nominal value.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

References

  1. Audio power — Wikipedia contributors

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