For each carrier frequency given below, plot the received power (in dBm) in free space of a signal whose transmit power is 4W as a function of distance of the receiver being 0.5km to 5 km from the transmitter. Use R or Matlab. The plot should have the received power in dBm on the y-axis and the distance on a log scale on the x-axis. What is the path loss in dB at 5 km in each case?

a. Cellular Band transmitter: 830 MHz

b. PCS Band transmitter: 1880 MHz

c. WLAN Band transmitter: 5.5 GHz