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# Solution: Determine the received signal (in dBm) for the free space condition

#### Problem Statement: Transmission and Antenna Systems

Radiation and Wave Propagation Problem Solving

Consider a communication link operating at 15 GHz with the transmitting and receiving antennas gain of 20 dB and 15 dB, respectively. The transmitted power is 15 W and the distance between transmitter and receiver is 12 km.

(a) Determine the received signal (in dBm) for the free space condition.

(b) Repeat (a) if plane earth path loss exists and both transmitting and receiving antenna height is 10 m.

(c) If there is a 20-meter tall building located at 5 km from the transmitter, determine the minimum height of transmitting and receiving antennas above ground level to ensure unobstructed LOS conditions.

(a) The received signal (in dBm) for the free space condition is equal to -60.79 dB.

(b) Repeat (a), The received signal (in dBm) for the free space condition is equal to -100.79 dB.

(c) The minimum height of transmitting and receiving antennas above ground level is equal to 26 m.

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