Figure depicts the direct (line of sight) and indirect (reflected) paths of a radio link operating over a plane earth The heights of the transmitting antenna at the base station and the receiving antenna of a mobile unit are h b and h m respectively Assume the following The reflection coefficient of the ground is 1 The distance d between the two antennas is large enough to make the phase difference between the reflected and direct paths small compared to 1 radian, so that we may set sin Hence, show that the received power P is given by the approximation where P t , is the transmitted power, and G b and G m are the power gains of the transmitting base and mobile antennas, respectively Compare this result with the Friis free space equation P,G,G P, m d h d 1589

Question: Figure depicts the direct (line-of-sight) and indirect (reflected) paths of a radio link operating over a plane earth. The heights of the transmitting antenna at

Figure depicts the direct (line-of-sight) and indirect (reflected) paths of a radio link operating over a plane earth. The heights of the transmitting antenna at the base station and the receiving antenna of a mobile unit are h_b and h_m respectively. Assume the following:

The reflection coefficient of the ground is – 1.

The distance d between the two antennas is large enough to make the phase difference Φ between the reflected and direct paths small compared to 1 radian, so that we may set sin Φ ≈ Φ.

Hence, show that the received power P. is given by the approximation where P_t, is the transmitted power, and G_b and G_m are the power gains of the transmitting base and mobile antennas, respectively. Compare this result with the Friis free-space equation.

P,G,G P, - m d? hь d- 1589

P,G,G P, - m d? h d- 1589

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