a)  A satellite with a distance of 36500 km from earth station operates with an uplink frequency of 6 GHz. The power received by the satellite is 9.15x10^-8 W. the earth station antenna has physical aperture of 22m² and transmitting power of 34dBW. The atmospheric loss and the antenna pointing loss for the transmission are 2.5 dB and 1dB respectively. The efficiency of both earth station and satellite antenna is 65%.

Calculate:

The effective isotropic radiated power (EIRP) of the earth station in dBW

The diameter of the satellite antenna

b)  Satellite system with 14/12 GHz frequency transmits a signal from earth station A to earth station B. The distance between earth station to satellite is 36000km. The downlink EIRP is 45dBW. The transponder receiver has a figure of merit of 5dB/K. The dish diameter of both receiving and transmitting antenna at the earth station is 4 meter with 65% aperture efficiency. The overall noise temperature for the receiving earth station is 140K. The uplink operates with a 10dB back off. The minimum total carrier to noise ratio of the system is specified to be 18dB. Assume other losses are negligible and the Boltzmann’s constant is -228.6 dBW/K.  Calculate the uplink carrier to noise ratio.