THD Percent

Compute total harmonic distortion in percent as 100 x sqrt(V2^2 + V3^2) / Vfundamental; harmonics must be non-negative and the fundamental positive.

Description

Compute total harmonic distortion in percent as 100 x sqrt(V2^2 + V3^2) / Vfundamental; harmonics must be non-negative and the fundamental positive.

THD Percent: Compute total harmonic distortion in percent as 100 x sqrt(V2^2 + V3^2) / Vfundamental; harmonics must be non-negative and the fundamental positive.

When to use THD 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)
Required number input.
2nd harmonic (V)
Required number input.
3rd harmonic (V)
Required number input.

How THD Percent works

Compute total harmonic distortion in percent as 100 x sqrt(V2^2 + V3^2) / Vfundamental; harmonics must be non-negative and the fundamental positive. 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 (%)
The resulting thd returned as a number.

Limitations and assumptions

  • SNR, SINAD, THD, SFDR, and integrated-noise results require explicit bandwidth, weighting, reference amplitude, windowing, harmonic set, impedance, and RMS or peak conventions. Values measured under different conditions are not directly comparable.
  • 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. Signal-to-noise ratio — Wikipedia contributors

Similar or alternative tools

  • ADC Total Harmonic Distortion

    Calculate THD from RMS harmonic amplitudes relative to the fundamental: sqrt(sum of harmonic squares)/fundamental. Output is percent and dBc; include only the harmonics specified by the measurement method, excluding noise and DC.

  • THD+N Percent

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

  • MDS Calculator

    Compute the minimum detectable signal as MDS(dBm) = -174 + 10 x log10(BW(Hz)) + NF(dB) + SNR(dB); bandwidth must be positive and the noise figure non-negative.

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