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8 June, 12:13

A mobile base station (BS) in an urban environment has a power measurement of 8µW at 225m. Assuming the propagation follows an inverse cube power law (Section 3.2.2), what is a reasonable value to assume at a distance 675m from the BS?

Give your answer in scientific notation, to 2 decimal places.

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  1. 8 June, 12:23
    0
    The reasonable value = 2.96 * 10^ (-1) µW

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - A mobile base station in an urban environment has a power

    measurement of 8 µW at 225 m

    - The propagation follows an inverse cube power law

    - We need to find the reasonable value to assume at a distance

    678 m from the base station

    ∵ The propagation follows an inverse cube power law

    - The power would have been decreased by a factor 1/n³

    times the power as a distance increasing

    ∵ n = the ratio between the distances

    ∵ The distance are 675 m and 225

    ∴ n = 675/225 = 3

    ∴ 1/n³ = 1/3³ = 1/27

    - The reasonable value is the product of the power measurement of

    8 µW and 1/27

    ∴ The reasonable value = 8 * 1/27 = 8/27 µW = 0.296296

    ∴ The reasonable value = 2.96 * 10^ (-1) µW
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