Final answer:
To design a satellite communication link operating in the Ku band, the transmitting earth station needs an antenna gain of 38.25 dB and transmit power of 207.77 W, based on the given C/N and link margin specifications. The required values can be calculated using formulas for antenna gain, transmitted power, and path loss.
Step-by-step explanation:
To design a satellite communication link operating in the Ku band to meet C/N and link margin specifications, we need to calculate the values for the transmitting earth station. The transmitted antenna gain in dB is calculated using the formula:
Antenna Gain (dB) = 10 * log10(pi * (D/λ)^2 * η)
Where D is the diameter of the antenna, λ is the wavelength, and η is the aperture efficiency. Plugging in the values given, we have:
Antenna Gain (dB) = 10 * log10(pi * (3/0.021)^2 * 0.65) = 38.25 dB
The earth station transmitted power in W can be calculated using the formula:
Transmitted Power (W) = (C/N)up - Antenna Gain (dB) + Satellite EIRP (dB) + Path Loss (dB)
Where (C/N)up is the desired carrier-to-noise ratio, and Satellite EIRP (dB) is the effective isotropic radiated power of the satellite. With the given value of (C/N)up = 35 dB and Satellite EIRP = 40 dBW, we have:
Transmitted Power (W) = (35 - 38.25 + 40 + Path Loss (dB))
To find the Path Loss (dB), we can use the formula:
Path Loss (dB) = 20 * log10(4 * pi * distance * f / c)
Where distance is the path length to the satellite, f is the frequency (14 GHz), and c is the speed of light. Plugging in the values, we have:
Path Loss (dB) = 20 * log10(4 * pi * 38500 * 14 * 10^9 / 3 * 10^8) = 171.02 dB
Substituting this value into the previous equation, we get:
Transmitted Power (W) = (35 - 38.25 + 40 + 171.02) = 207.77 W
Therefore, to meet the C/N and link margin specifications, the transmitting earth station should have an antenna gain of 38.25 dB and transmit power of 207.77 W.