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A mobile base station (BS) in an urban environment has a power measurement of 25 µW at 425 m. If the propagation follows an inverse cube-power law (Section 3.2.2), what is a reasonable power value, in µW, to assume 1.7 km from the BS?

User Benjamin Cox
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1 Answer

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13 votes

Final answer:

To estimate the power value at a distance of 1.7 km, we can use the inverse cube-power law. Set up a proportion and solve for the power at 1.7 km.

Step-by-step explanation:

To estimate the power value at a distance of 1.7 km from the base station, we can use the inverse cube-power law. This law states that the power decreases with the cube of the distance from the source.



Let's set up a proportion using the given power measurement at 425 m:




  • Power at 425 m / Distance at 425 m^3 = Power at 1.7 km / Distance at 1.7 km^3

  • 25 µW / (425 m)^3 = Power at 1.7 km / (1.7 km)^3



Solving for the power at 1.7 km, we can find a reasonable estimate.

User Raymie
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