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:
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| Lp (2nd power) = 95.8 + 20 ⋅ log ( d ) dB |
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| Lp (3rd power) = 95.8 + 30 ⋅ log ( d ) | dB |
| (d in miles) |
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| Lp (4th power) = 95.8 + 40 ⋅ log ( d ) | dB |
| (d in miles) |
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| Example calculated Lp values (in dB) |
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Path Type | 2 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 |
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| 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 | ||
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| The following table helps select a Path Type in the above “Distance vs. Path | ||||||||||||
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| Loss” table to best fit your situation. |
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| Characteristics Selector |
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| Path Type |
| Path Characteristics |
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| 2nd power | Mountaintop to mountaintop |
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| or Tall antenna towers |
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| 3rd power | Dominantly |
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| Low antenna heights |
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| Some trees |
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| 4th power | At water’s edge (very reflective) |
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| Across field of grain (reflective) |
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| Lots of Trees (absorptive) |
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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
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