3. (20 points) Large-scale pathloss a. (12 points) Given are the following system design characteristics. Transmit power = 2W Frequency = 2.4 GHz Pathloss exponent = 3.5 Isotropic receiver antenna Isotropic transmitter antenna The configuration produces a received power X at 1000 meters. Now the system needs to be changed to use 5.8 GHz and a transmit antenna gain of 2. At what distance would a power of 2X be received? All other system design parameters do not change. b. (8 points) For a different system, the following measurements are made: Pathloss exponent = 2 Received power: 13 dBm at 200 meters What is the received power in Watts at 600 meters? C. (Bonus 5 points) Another different system: The problem also concerns handoff in wireless cellular systems. A mobile unit is at the edge of a cell (R = 1.5km) and begins the process to hand off to a different base station. Determine how much time the execution of a handoff must be completed before the signal power drops an additional 3dB. Assume the mobile unit is traveling at a highway speed of 25m/s directly away from the base station. Use a path loss exponent of n = 4.5.