Consider a cellular system with circular cells with radius equal to 100 meters. Assume propagation follows the simplified path loss model with K = 1, d0 = 1 m, and γ = 3. Assume the signal experiences log-normal shadowing on top of path loss with σψdB = 4 as well as Rayleigh fading. The transmit power at the base station is Pt = 100 mW, the system bandwidth is B = 30 KHz, and the noise PSD is N0 = 10−14 W/Hz. Assuming BPSK modulation, we want to find the cell coverage area (percentage of locations in the cell) where users have average Pb less than 10−3.

Find the received power due to path loss at the cell boundary.