path loss

Path loss is the effect that traveling through space has on the signal.

A simple model of path loss is

r(t)=(λGejd2πλ4πdu(t)ej2πfct)

where G is the product of the antenna field radiation pattern in the LOS direction (has to do with antenna aperture)

From this eq, the ratio of transmit to recieve power is

PrPt=(Gλ4πd)2

Common model for large urban areas is the okumura model.

A simplified model is

Pr=PtK[d0d]γ

where K is a constant, d0 is the reference distance from farfield, and γ is the path loss exponent (comes from existing tables of empirical data).

This model is quite commonly used.

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