(Solved): a) A wireless backhaul link is established between rooftops of two buildings where cellular base s ...

a) A wireless backhaul link is established between rooftops of two buildings where cellular base stations are located. The link is line-of-sight and it is clear of reflections and scattering from the environment. Other propagation effects can be neglected. Assume that the ambient temperature is \( 300 \mathrm{~K} \). The link has the following properties: Carrier frequency: \( f_{c}=42 \mathrm{GHz} \) System bandwidth: \( B_{S}=500 \mathrm{MHz} \) Distance between buildings: \( R=325 \mathrm{~m} \) Transmitter power: \( P_{t x}=23 \mathrm{dBm} \) Transmit cable loss: \( L_{\text {cable }}=1 \mathrm{~dB} \) Gain of the transmitter and receiver antennas for the link: \( G_{t x}=G_{r x}=17 \mathrm{dBi} \) Receive amplifier gain \( =24 \mathrm{~dB} \) Insertion loss in receive filter \( =0.5 \mathrm{~dB} \) Answer the following questions. Please show all working. i) Determine the path loss in \( \mathrm{dB} \). ii) Calculate the receive power in \( \mathrm{dBm} \).