Longley Rice Terrestial Propagation

Essentials

In essence the calculation is based upon the sum of two other calculations. Link Loss = free space loss + terrain loss.

The LR contribution relates to the derivation of an empirical formula for the terrain loss based upon terrain profile, resistivity, climatic variability. The vegetation is not explicitly accounted for.

Free Space Loss

The simplest part is the free space loss calculation formulated by Harald T Friis.

Friis Formula

Where

Pr = Link loss in db to the receiver.

Gt = Transmitter antenna gain.

Gt = Receiver antenna gain.

&lambda = Wavelength in m.

R = isotropic radios. ie: distance between Tx and Rx in m.

Pt = Polarisation gain.

Polarisation gain

The antennae are generally polarised, vertical, horizontal, circular, elliptical. The miss alighnment of the polarisation will create a loss.

Note: LR take polarisation in the terrain calculation.

Note: Also a parabolic antenna will be polarised, unless driven by a circular waveguide or helix.

Friis Formula

Where

PL = The polarisation gain less than 1.

ϕ = The miss alignment angle.

The terrain calculation is next.

Terrain Calculation

Then comes the variability consideration.

Variability Calculation

Putting it all together.

Collecting Up

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Link Analysis

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