Antenna Noise: The Practical Picture

  • The antenna collects noise as well as the wanted signal
  • Sky, atmosphere, ground, and the Moon can change 𝑇𝐴
  • The antenna pattern and pointing determine how much enters
  • Use a specified antenna temperature for the link calculation
  • Keep external antenna noise separate from receiver noise figure
  • Antenna noise need not be 290 K — a 30 K antenna with a 50 K receiver gives 80 K total, vs. 340 K with a 290 K source (which contribution matters)

The Pattern Weights the Whole Scene

  • Sky brightness 𝑇sky and ground brightness 𝑇ground → the antenna pattern weights each direction, then sums the noise → antenna port delivers 𝑁0=𝑘𝑇𝐴
  • Sky (brightness) temperature describes radiation from a direction
  • Antenna temperature describes the noise delivered at the port

Antenna Temperature (lossless antenna)

  • 𝑇𝐴=∑𝑖𝑤𝑖𝑇𝑖
  • 𝑤𝑖 = integrated antenna response (pattern weight) in each region of the scene
  • Source: Condon & Ransom, Essential Radio Astronomy, Ch. 3

How Much Does Ground Matter?

Sky and Ground Pickup

  • Sky: 10 K with 95% pattern weight; ground: 290 K with 5% pattern weight
  • 𝑇𝐴=0.95(10)+0.05(290)=9.5K+14.5K=24.0K
  • The 5% ground pickup contributes more noise than the 95% sky pickup

The Moon and Antenna Beam Coupling

  • Off the lunar disk: assume 𝑇𝐴=30K
  • On the lunar disk: assume 𝑇𝐴=230K
  • (Assumed scene temperatures; beam outlines schematic)
  • “Off the lunar disk” means the line of sight is outside the apparent Moon (clarified Oct. 19)
  • Effect on the lunar link: 𝑇sys rises by 200 K and [𝑆/𝑁0] drops 3.4 dB (pointing at the Moon)

Atmosphere and Weather