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.
Category: System Design
Conversion: T = 290(10NF/10 − 1) K
Key Metric: G/T (dB/K)

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)

Noise Temperature Scale

NF (dB)Te (K)Typical DeviceApplication
0.075Cryogenic InP HEMT (20K)Radio astronomy
0.320Cryogenic GaAs LNA (77K)Deep-space comms
0.535Room-temp GaAs pHEMTSatellite ground station
1.075GaAs MMIC LNAVSAT, GPS
2.0170SiGe LNACellular base station
5.0627Consumer WiFi front-endWLAN access point
10.02,610Passive 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.

System Analysis

System Temperature Calculator

Enter antenna temperature, LNA noise temperature, and gain. Cascade through the full receiver chain to compute Tsys and G/T for satellite link budget analysis.

Calculate Tsys