System Design
Noise Temperature
Tsys (Kelvin)
A deep-space antenna at NASA's Goldstone complex uses a cryogenically cooled LNA at 15 Kelvin. The 70-meter dish, pointed at the zenith, sees an antenna temperature of about 20K from the sky and cosmic background. Total system temperature: approximately 35K. This translates to a noise figure of 0.5 dB, but saying "0.5 dB NF" hides the engineering. Noise temperature preserves the physics: every Kelvin of system temperature directly maps to noise power via N = kTB. If the LNA warms from 15K to 30K, system temperature rises from 35K to 50K, a 43% increase in noise power and a 1.5 dB sensitivity loss. No NF specification captures this granularity at the low end of the scale.
NF vs. Noise Temperature: Seeing the Difference
NF to noise temperature:
Te = T0(10NF/10 − 1) where T0 = 290K
System noise temperature:
Tsys = Tant + TLNA + T2/GLNA + T3/(GLNA·G2) + ...
G/T figure of merit:
G/T (dB/K) = Gant(dBi) − 10·log(Tsys)
Te = T0(10NF/10 − 1) where T0 = 290K
System noise temperature:
Tsys = Tant + TLNA + T2/GLNA + T3/(GLNA·G2) + ...
G/T figure of merit:
G/T (dB/K) = Gant(dBi) − 10·log(Tsys)
Noise Temperature Scale
| NF (dB) | Te (K) | Typical Device | Application |
|---|---|---|---|
| 0.07 | 5 | Cryogenic InP HEMT (20K) | Radio astronomy |
| 0.3 | 20 | Cryogenic GaAs LNA (77K) | Deep-space comms |
| 0.5 | 35 | Room-temp GaAs pHEMT | Satellite ground station |
| 1.0 | 75 | GaAs MMIC LNA | VSAT, GPS |
| 2.0 | 170 | SiGe LNA | Cellular base station |
| 5.0 | 627 | Consumer WiFi front-end | WLAN access point |
| 10.0 | 2,610 | Passive mixer (no LNA) | Simple receiver |
Common Questions
Frequently Asked Questions
Why not just use NF?
NF compresses at the low end: 5K = 0.07 dB, 10K = 0.14 dB. The 0.07 dB difference is barely measurable, but the 5K LNA is twice as good. Noise temperature preserves the distinction. Used for satellite, radio astronomy, and deep-space links where every Kelvin matters.
What heats the antenna?
Everything in view: sky (~3K at 1 GHz, 50K at 22 GHz water line, 300K at 60 GHz O2), cosmic background (2.73K), ground (290K via sidelobes). A satellite dish at zenith: 30 to 50K. A terrestrial BS antenna: 150 to 200K from buildings/terrain.
What is G/T?
Figure of merit for receive stations: G(dBi) − 10·log(Tsys). A 45 dBi dish with Tsys = 80K: G/T = 45 − 19 = 26 dB/K. Improving either gain or noise temperature raises G/T. Satellite link budgets specify required G/T.
See Also