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Chapter 17 Radio Propagation Models

Chapter 17 Radio Propagation Models

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set prop [new <strong>Propagation</strong>/FreeSpace]<br />

$ns_ node-config -propInstance $prop<br />

<strong>17</strong>.2 Two-ray ground reflection model<br />

A single line-of-sight path between two mobile nodes is seldom the only means of propation. The two-ray ground reflection<br />

model considers both the direct path and a ground reflection path. It is shown [20] that this model gives more accurate<br />

prediction at a long distance than the free space model. The received power at distance is predicted by<br />

¢¡ ¢ <br />

¡£<br />

(<strong>17</strong>.2)<br />

£¢<br />

¡£¢¥¤ §¦©¨<br />

¢<br />

. ¨ where and are the heights of the transmit and receive antennas respectively. Note that the original equation in [20]<br />

assumes To be consistent with the free space model, is added here.<br />

The above equation shows a faster power loss than Eqn. (<strong>17</strong>.1) as distance increases. However, The two-ray model does not<br />

give a good result for a short distance due to the oscillation caused by the constructive and destructive combination of the two<br />

rays. Instead, the free space model is still used when is small.<br />

Therefore, a cross-over distance ¥¤ is calculated in this model. When §¦ ¥¤ , Eqn. (<strong>17</strong>.1) is used. When §¨ ©¤ , Eqn. (<strong>17</strong>.2)<br />

is used. At the cross-over distance, Eqns. (<strong>17</strong>.1) and (<strong>17</strong>.2) give the same result. So ¤ can be calculated as<br />

¤ ¨ ¤ ¥ ¢ ¦ <br />

(<strong>17</strong>.3)<br />

Similarly, the OTcl interface for utilizing the two-ray ground reflection model is as follows.<br />

$ns_ node-config -propType <strong>Propagation</strong>/TwoRayGround<br />

Alternatively, the user can use<br />

set prop [new <strong>Propagation</strong>/TwoRayGround]<br />

$ns_ node-config -propInstance $prop<br />

<strong>17</strong>.3 Shadowing model<br />

<strong>17</strong>.3.1 Backgroud<br />

The free space model and the two-ray model predict the received power as a deterministic function of distance. They both<br />

represent the communication range as an ideal circle. In reality, the received power at certain distance is a random variable<br />

due to multipath propagation effects, which is also known as fading effects. In fact, the above two models predicts the mean<br />

received power at distance . A more general and widely-used model is called the shadowing model [20].<br />

165

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