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Explain LOS propagation. Obtain the expression for range of line of sight for space wave in terms of antenna transmitted and Receiver heights.

Mumbai University > Electronics Engineering > Sem 5 > Electromagnetic Engineering

Marks: 10 Marks

Year: Dec 2015

1 Answer
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Space wave propagation can be achieved in the following 2 ways:

1) LOS Communication

2) Satellite Communication

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Consider a TV antenna OP of height h. The transmitted signal cannot be received beyond points $R_1$ and $R_2$.

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$OR_1$ and $OR_2$ are maximum distance from the antenna.

let $OR_1 = OR_2 = d$

from $∆PCR_1$

$CP^2 = PR_1^2 + (CR_1)^2 \\ (R + h)^2 = PR^2 + R^2 \\ In ∆POR, \\ PR_1^2 = h^2 + dr^2 \\ (R + h)^2 = h^2 + dr^2 + R^2 \\ R^2 + 2hR + h^2 = h^2 + dr^2 + R^2 \\ dr =\sqrt{2 R h_r} \text{(for transmission)} \\ \text{Similarly,} d_R =\sqrt{2 R h_R} \\ d = dr + dR$

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