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Communications, Radar & Electronic Warfare (201.. - Index of

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180 CommullIcations, <strong>Radar</strong> and <strong>Electronic</strong> <strong>Warfare</strong>accuracy <strong>of</strong> reflections from over sea paths. Diffraction in the APM model iscalculated using the parabolic equation rather than the Fresnel method used byother models. This is effectively a finite element analysis technique rather thancalculating diffraction over the most dominant diffraction over edges. It also includesTropospheric scatter for paths beyond the diffraction region. The current version <strong>of</strong>APM does not however account for rainfall and other precipitation or vegetation andurbanisation clutter.10.4 Empirical Models10. 4. 1 Basic Form <strong>of</strong> Empirical ModelsEmpirically derived models are generated using data gathered from measurementsrather than being based on application <strong>of</strong> physical models to the scenario under test.The basic form <strong>of</strong> an empirical model is:whereE,. is the received field strength in dB).lV 1m.d is the path length in km.y is the inverse exponent used with path length.f is the frequency in MHz.K is a coefficient based on power (PBS, normally in dBW or dBm).hBS is the height <strong>of</strong> the base station in metres.hMS is the height <strong>of</strong> the mobile station in metres.The received power in dBm can be calculated for an isotropic receiver with animpedance <strong>of</strong> 50 n by:P( dBM) = Field strength (dB).l Vim) - 20 logf - 77.2Other corrections can be added for clutter and other factors relevant to specificapplications.The form <strong>of</strong> this type <strong>of</strong> equation shows that it does not require detailed path pr<strong>of</strong>ileanalysis. Rather, it produces a generic result useful for network dimensioning andwhere the margin added is used as a mechanism to ensure the received signal is strongenough to provide a serviceable signal.10.4.2 Okwnura Ra ta and COST 231 RataThe Okumura-Hata model was introduced to model mobile phone applications,where the base station antenna is clear <strong>of</strong> clutter but the mobile station is embedded

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