G/T (receive gain over system noise temperature) is the receiving system’s figure of merit.

G/T: The Receiving Figure of Merit

  • Combines receive antenna gain with total system noise
  • System noise temperature in dB:
    • [𝑇sys]=10log10(𝑇sys/K)dB-K

G/T

  • [𝐺/𝑇]=[𝐺𝑟]−[𝑇sys]
  • In dB/K
  • Use antenna-system gain and total noise at the same plane
  • A 1.0 dB gain in [𝐺/𝑇] adds 1.0 dB to [𝑆/𝑁0] (other link terms fixed)

Lunar Link G/T at Plane A

  • [𝐺𝑟]=66.9dBi (34 m dish), [𝑇sys,𝐴]=10log10(168.0)=22.3dB-K
  • [𝐺/𝑇]𝐴=[𝐺𝑟]−[𝑇sys,𝐴]≈44.7dBK−1 (lunar link noise)

Improving Sensitivity

  • Question: which change helps?
    • A. Increase receive antenna gain by 3 dB; hold 𝑇sys fixed
    • B. Halve total system noise temperature; hold gain fixed
    • C. Add 20 dB of ideal gain after the receiver
    • Which changes G/T and S/N₀? Which changes only output levels?
  • Answers:
    • A. Adding 3 dB of antenna gain raises [𝐺/𝑇] and [𝑆/𝑁0] by 3 dB
    • B. Halving 𝑇sys raises [𝐺/𝑇] and [𝑆/𝑁0] by 3.0 dB
    • C. Ideal final gain raises signal and noise equally — the ratio is unchanged

NOTE

  • Sensitivity improves only when more signal is collected or less noise is added
  • Cryogenic LNAs are the “less noise” route: why DSN uses cryogenic LNAs

Questions for a Ground-Network Provider

  • G/T is usually the provider’s side of the link (two design viewpoints), so ask:
    • What is G/T at our frequency, elevation, and weather condition?
    • Which losses and reference plane are included?
    • What receiver NF and input losses underlie the specification?
    • What antenna-noise assumptions were used?