P$1.$ Consider a wireless link at $5$ GHz$,$ using two antennas at a distance of $1$ km$.$ The

transmitting antenna has a gain Gtx $=20$ dBi while the receiving antenna has an

effective area Ae $=0\mathrm{.}1$ m$2.$

Assume that the minimum power $($sensitivity$)$ at the receiver end is $80$dBm$.$ Using the

Friis formulas, determine the minimum input power to the transmitting antenna to

guarantee the radio frequency link. P$1.$ Consider a wireless link at $5$ GHz $,$ using two antennas at a distance of $1$ km $.$ The transmitting antenna has a gain $\backslash ($ G$\_\{\backslash$mathrm$\{$tx$\}\}=20\backslash$mathrm$\{$dBi$\}\backslash )$ while the receiving antenna has an effective area $\backslash ($ A$\_\{\backslash$mathrm$\{$e$\}\}=0\mathrm{.}1\backslash$mathrm$\{$~m$\}^\{2\}\backslash ).$

Assume that the minimum power $($sensitivity$)$ at the receiver end is $-80$ dBm $.$ Using the Friis formulas, determine the minimum input power to the transmitting antenna to guarantee the radio frequency link.