RF Toolbox

Noise Figure by Y-Factor

The Y-factor method measures noise figure by switching a calibrated noise source between its hot (on) and cold (off) states and taking the ratio Y of the two output powers. With the source's excess noise ratio (ENR), that ratio gives the device's noise factor, noise figure, and equivalent input noise temperature.

Equations & Parameters ▸
\(F = \dfrac{\text{ENR}}{Y - 1} \qquad NF = 10\log_{10}F \qquad T_e = T_0\,(F - 1),\ \ T_0 = 290\,\text{K}\)
ENRExcess noise ratio of the source (dB). Entered in dB; converted to linear internally.
YRatio of hot to cold output power (dB). Y > 1 (i.e. > 0 dB).
FNoise factor (linear); NF is its value in dB.
TeEquivalent input noise temperature (K), referenced to T₀ = 290 K.
References: Keysight, App. Note 57-1, Fundamentals of RF and Microwave Noise Figure Measurements. · D. M. Pozar, Microwave Engineering, 4th ed., Wiley, 2012.
Inputs
dB
Noise-source ENR
dB
Hot/cold power ratio
Results

Noise figure

Noise figure NF
Noise factor F

Temperature

Noise temp. Te
Diagram