Task 1. Assume that the transmitted power of an isotropic radiator is 5 kW and the operating frequency is f = 2.5 GHz. (a) What is the power density at the receiver 10 km away? (b) If the receiver antenna is isotropic, what is the total received power? (c) What is the transmission loss? Task 2. Derive the formula for the transmission loss in free space: LdB = 32.4 20 log10 dkm 20 log10 fMHz Task 3. Considering a line-of-sight wireless communication link: (a) Calculate the free space loss at 30 km distance when operating at 7.5 GHz (b) Double the original frequency and re-calculate the free space loss (c) Halve the original distance and re-calculate the free space loss Task 4. A satellite communication system employs large parabolic dish antennas with 20 m diameter and 60% efficiency to receive a signal at 4 GHz. What is the dB gain of such dish