Total Harmonic Distortion Calculator

Calculate Total Harmonic Distortion (THD) from fundamental and harmonic amplitudes. Measure signal distortion and audio quality.

How to Use This Calculator

  1. Enter the fundamental frequency amplitude (the main signal level).
  2. Enter the amplitudes of harmonics (2nd, 3rd, 4th, 5th) if known (optional, leave 0 if unknown).
  3. The calculator displays THD as a percentage and in decibels, plus a quality assessment.
  4. Use this to measure audio quality, evaluate amplifiers, or analyze signal distortion.

THD Formula

Total Harmonic Distortion is calculated from fundamental and harmonic powers:

THD (%) = √(Σ(Harmonic²) / Fundamental²) × 100
THD (dB) = 20 × log₁₀(THD ratio)

Example: Fundamental = 1V, 2nd harmonic = 0.05V, 3rd harmonic = 0.02V: THD = √((0.05² + 0.02²) / 1²) × 100 = √(0.0029) × 100 = 5.39%. THD (dB) = 20 × log₁₀(0.0539) = -25.4 dB.

Full Description

Total Harmonic Distortion (THD) is a measure of signal quality that quantifies how much a signal is distorted by harmonics (frequencies that are multiples of the fundamental frequency). THD is expressed as a percentage or in decibels, with lower values indicating better signal quality and less distortion. THD is critical in audio systems, amplifiers, and any application where signal fidelity is important.

Harmonic distortion occurs when signals pass through non-linear components (amplifiers, speakers, etc.), generating frequencies that are multiples of the fundamental. The 2nd harmonic is twice the fundamental frequency, the 3rd is three times, and so on. THD measures the total power of all harmonics relative to the fundamental. Lower THD means the signal is closer to the original, with less unwanted harmonic content.

This calculator helps you determine THD from fundamental and harmonic measurements. Enter the fundamental amplitude and harmonic amplitudes (if known), and it calculates THD percentage and decibels, plus a quality assessment. Use it to evaluate audio equipment, measure signal quality, analyze amplifiers, or understand how distortion affects signals. THD is a key specification in audio and RF systems.

Frequently Asked Questions

What is Total Harmonic Distortion (THD)?

THD measures the distortion in a signal by comparing the power of harmonic frequencies (multiples of the fundamental) to the power of the fundamental frequency. Lower THD means less distortion and better signal quality. THD is expressed as a percentage or in decibels.

How is THD calculated?

THD (%) = √(Σ(Harmonic Powers) / Fundamental Power) × 100. THD (dB) = 20 × log₁₀(THD ratio). For example, if 2nd harmonic = 0.01V and fundamental = 1V: THD = √(0.01²/1²) × 100 = 1%.

What is acceptable THD?

Excellent: <0.1% (very low distortion, high-end audio). Very Good: 0.1-1% (low distortion, good audio). Good: 1-5% (acceptable for most applications). Moderate: 5-10% (noticeable but acceptable). High: >10% (significant distortion, may be problematic).

What causes harmonic distortion?

Harmonic distortion is caused by non-linearities in amplifiers, speakers, and other components. When a signal passes through a non-linear system, harmonics are generated. Common causes: amplifier clipping, speaker non-linearity, component saturation, and circuit non-linearities.