RF Glossary

Mismatch Loss in RF Systems

Mismatch loss is the additional insertion loss caused by impedance mismatch at a port. Formula, conversion table from VSWR, and how it affects receiver sensitivity and transmit efficiency.

Definition

Mismatch loss (ML) is the fraction of available power that is not delivered to the load due to impedance mismatch — the portion reflected back toward the source:

  ML (dB) = −10·log₁₀(1 − |Γ|²)
  ML (dB) = −10·log₁₀(1 − 10^(S₁₁_dB/10))

  Power delivered = P_available · (1 − |Γ|²)
  Power reflected = P_available · |Γ|²

Mismatch Loss vs VSWR Table

VSWR|Γ|Return LossMismatch LossPower Delivered
1.0:10.0000.00 dB100%
1.5:10.20014.0 dB0.18 dB96.0%
2.0:10.3339.5 dB0.51 dB88.9%
3.0:10.5006.0 dB1.25 dB75.0%
5.0:10.6673.5 dB2.55 dB55.6%
10.0:10.8181.7 dB4.81 dB33.1%

Mismatch Uncertainty in RF Measurements

Even after VNA calibration, residual port match (typically RL > 30–40 dB) causes measurement uncertainty. When measuring a DUT with high S11, the round-trip mismatch error can be significant:

  Worst-case mismatch error (dB) = ±20·log₁₀(1 ± |Γ_source|·|Γ_DUT|)

  Example: |Γ_source|=0.05, |Γ_DUT|=0.4 → error = ±20·log₁₀(1±0.02) ≈ ±0.17 dB
RF View VSWR Calculator: Enter VSWR, return loss, or |Γ| in RF View's Utilities tab to instantly compute mismatch loss and the delivered power percentage. Offline on Android.

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