Problem 45809. SatCom #9: Overall Link Performance

Satellite and Space Engineering - Problem #9
This is part of a series of problems looking at topics in satellite and space communications and systems engineering.
lf you have competed the previous exercises in this series, you will have more-or-less everything that you need to complete this problem.
Knowing the parameters of a radio transmitter and receiver, determine the received signal 'quality' expresed as a carrier-to-noise ratio (in dB) in the radio receiver (in this case we are thinking of a satellite receiver, but the approach is generic to all radio receivers).
You are given power (dBW) of the signal applied to the transmitting dish antenna, the diameters (m) and efficiencies (%) of the transmitting and receiving dishes, the path length (km) between the transmitting and receiving antennas, and the frequency of the transmitted signal (GHz). You are also given the receiver noise tempterature (K) and bandwidth (MHz).
Hint: The carrier-to-noise ratio is the ratio between the received signal power in the radio receiver (see Problem #8) and the thermal noise in the receiver (see Problem #7). Typically it will be expressed in dB terms.
Example: For a Ka-Band GSO space-to-Earth link at 17.7 GHz and of path length 41,130.13 km, where the satellite antenna has an input RF power of 9.5 dBW, a diameter of 75cm and an efficiency of 70%, and the signal is received on an Earth-station antenna of diameter 65cm and efficiency 65%, and where the receiver has a bandwidth of 10 MHz and a noise temperature of 220 K, the carrier-to-noise ratio in the satellite receiver is around 6.1 dB.
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22.46% Correct | 77.54% Incorrect
Last Solution submitted on Jun 18, 2025

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