Area to area Lee model

Applicable to/under conditions

This model is suitable for using in data collected . The model predicts the behaviour of all links that has ends in specific areas.

Coverage

Frequency: 900 MHz band

The model

The Lee model is formally expressed as:

L = L 0 + γ log ⁡ d − 10 log ⁡ F A

where,

L = The median path loss. Unit: decibel (dB) L₀ = The reference path loss along 1 km. Unit: decibel] (dB) γ = The slope of the path loss curve. Unit: decibels per decade d = The distance on which the path loss is to be calculated. F_A = Adjustment factor.

Calculation of reference path loss

The reference path loss is usually computed along a 1 km or 1 mile link. Any other suitable length of path can be chosen based on the applications.

L 0 = G B + G M + 20 ( log ⁡ λ − log ⁡ d ) − 22

where,

G_B = Base station antenna gain. Unit: decibel with respect to isotropic antenna (dBi) λ = Wavelength. Unit: meter (m). G_M = Mobile station antenna gain. Unit: decibel with respect to isotropic antenna (dBi).

Calculation of adjustment factors

The adjustment factor is calculated as:

F A = F B H F B G F M H F M G F F

where,

F_BH = Base station antenna height correction factor. F_BG = Base station antenna gain correction factor. F_MH = Mobile station antenna height correction factor. F_MG = Mobile station antenna gain correction factor. F_F = Frequency correction factor

Base-station antenna height correction factor

F B H = ( h B 30.48 ) 2

where,

h_B = Base-station antenna height. Unit: meter (m).

or

F B H = ( h B 100 ) 2

where,

h_B = Base-station antenna height. Unit: foot (ft).

Base-station antenna gain correction factor

F B G = G B 4

where,

G_B = Base-station antenna gain. Unit: decibel with respect to half wave dipole antenna (dBd)

Mobile-station antenna height correction factor

F M H = { h M 3  if,  h M > 3 ( h M 3 ) 2  if,  h M ≤ 3

where,

h_M = Mobile-station antenna height. Unit: meter(m).

Mobile-antenna gain correction factor

F M G = G M

where,

G_M = Mobile-station antenna gain. Unit: Decibel with respect to half wave dipole antenna (dBd).

Frequency correction factor

F F = ( f 900 ) − n  for  2 < n < 3

where,

f = Frequency. Unit: megahertz (MHz)