Appendix H. Distance vs. Antenna Gain, Terrain, and Other Factors

Here is a table which gives calculated path loss (Lp) values at 900 MHz for the

2nd, 3rd, and 4th powers of distance; the equations (for 915 MHz) are:

 

 

 

 

Lp (2nd power) = 95.8 + 20 ⋅ log ( d ) dB

 

(d in miles)

 

 

 

 

 

Lp (3rd power) = 95.8 + 30 ⋅ log ( d )

dB

 

(d in miles)

 

 

 

 

 

Lp (4th power) = 95.8 + 40 ⋅ log ( d )

dB

 

(d in miles)

 

 

 

 

 

Example calculated Lp values (in dB)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

TABLE H-1. 900 MHz Distance vs. Path Loss (Lp in dB) per Three Path Types

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Path Type2 mi.4 mi.6 mi.8 mi.

 

10 mi.

 

14 mi.

 

18 mi.

 

22 mi.26 mi.30 mi.

2nd power

102

108

111

114

 

116

 

119

 

121

 

123

124

125

3rd power

105

114

119

123

 

126

 

130

 

133

 

136

138

140

4th power

108

120

127

132

 

136

 

142

 

146

 

149

152

155

 

 

 

 

The following table helps select a Path Type in the above “Distance vs. Path

 

 

 

 

Loss” table to best fit your situation.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

TABLE H-2. Path Type vs. Path

 

 

 

 

 

 

 

 

 

Characteristics Selector

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Path Type

 

Path Characteristics

 

 

 

 

 

 

 

 

2nd power

Mountaintop to mountaintop

 

 

 

 

 

 

 

 

 

 

or Tall antenna towers

 

 

 

 

 

 

 

 

 

 

 

 

Line-of-sight

 

 

 

 

 

 

 

 

 

 

3rd power

Dominantly line-of-sight

 

 

 

 

 

 

 

 

 

 

Low antenna heights

 

 

 

 

 

 

 

 

 

 

 

 

Some trees

 

 

 

 

 

 

 

 

 

 

 

 

4th power

At water’s edge (very reflective)

 

 

 

 

 

 

 

 

 

 

Across field of grain (reflective)

 

 

 

 

 

 

 

 

 

 

Lots of Trees (absorptive)

 

 

 

 

Examples

Some examples will help illustrate the tradeoffs in a link analysis. These examples will all use the RF400 900 MHz radio, and will use –107 dBm as the required power level at the radio receiver. This is 3 dB higher than the quoted sensitivity of –110 dBm, which will give us a 3 dB margin.

Here’s the equation we will use, from the first page: Pt - Lt + Gt - Lp + Gr - Lr = Pr

Example #1

Antenex FG9023 antennas on each end, 20’ of LMR195 cable on one end, 10’ of LMR195 on the other end, antennas at 10’ height, fairly open terrain with a few trees. How far can I go?

Pt = 20 dBm

Lt = 20’ x (11.1 dB/100 ft) = 2.22 dB Gt = Gr = 3 dBd = 5.15 dBi

Lr = 10’ x (11.1 dB/100 ft) = 1.11 dB

H-6