The rover uses 4GHz frequency to transmit the picture. The rover’s transmission power is 200W. The transmission antenna gain is 10,000 and the receiving antenna gain is 100,000. What is the received signal strength at the Earth’s station, in W (assume Pi = 3.14)?

A rover uses 4GHz frequency to transmit a picture. The rover’s transmission power is 200W. Distance = 55*10^9m. The transmission antenna gain is 10,000 and the receiving antenna gain is 100,000. What is the received signal strength at the Earth’s station, in W (assume Pi = 3.14)?

= 31.5 db

Explanation:

Path loss = 20㏒₁₀(4πdf / c)

               = 20㏒₁₀(d) + 20㏒₁₀(f) - 20㏒₁₀(4π / c)

               = 20㏒₁₀(55 × 10⁹) + 20㏒₁₀(4000) - 147.5

               = (20 × 77.4) + 20 ×  3.6 - 147.5

               = 154 + 72 - 147.5

               = 78.5 DB

Received signal strength(power)

Pr = Pt + Gt + Gr - Lp dBW

= 20 + 40 + 50 - 78.5

= 31.5 db

answer: 31, 5556. 952 seconds