Appendix H. Distance vs. Antenna Gain, Terrain, and Other Factors
Antenna Gain
Antenna gain is specified either in dBi (decibels of gain relative to an isotropic radiator) or in dBd (decibels of gain relative to a dipole). The relationship is:
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| dBi = dBd + 2.15 |
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| Some antennas that are FCC approved for use with the RF400 series are: | |||||
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Mfg. | Antenna Type | Band | Model | CSI Item # | dBd | dBi | Size |
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| Gain | Gain |
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Astron | Omni (1/2 wave) | 900 MHz | AXH900 RP SMA R | 14204 | 0 | 2.15 | 6.75” |
Antenex | Collinear | 900 MHz | FG9023 | 14221 | 3 | 5.15 | 24” |
MaxRad | Yagi | 900 MHz | BMOY8905 | 14201 | 9 | 11.15 | 21.4” |
LINX | Omni (1/2 wave) | 2.4 GHz | 16005 | 0 | 2.15 | 4.5” | |
MaxRad | Enclosed Yagi | 2.4 GHz | WISP24015PTNF | 16755 | 13 | 15.1 | 17” |
Receiver Sensitivity
Receiver sensitivity is usually specified in dBm for a specific bit error rate (BER). The transceiver module used in the RF400 (either 900 MHz radio) is specified at
If the received signal strength is greater than the receiver sensitivity, a link can be established. Any excess signal strength above the receiver sensitivity is “link margin”, and is a very good thing; a minimum of 6 dB of link margin should be sought.
Path Loss
We have combined in this section the normal “free space” path loss (only seen in mountaintop to mountaintop scenarios) with loss due to ground reflections, diffraction, leaf/forest absorption, etc. It is all loss!
A starting point is the “free space” path loss. Here are two equations for this:
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| Lp (dB) = 32.4 + 20 x log( f ) + 20 x log ( d ) | dB | (f in MHz, d in km) | |||||||
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| Lp (dB) = 36.6 + 20 x log( f ) + 20 x log ( d ) | dB | (f in MHz, d in miles) | |||||||
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| Here is a table showing the free space path loss (in dB). Note the effect of | |||||||||
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Frequency |
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| Distance |
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| 1 mi. |
| 2 mi. | 4 mi. | 8 mi. | 10 mi. | 16 mi. | 22 mi. | 26 mi. | 30 mi. | |
400 MHz | 89 |
| 95 | 101 | 107 | 109 | 113 | 115 |
| 117 | 118 |
915 MHz | 96 |
| 102 | 108 | 114 | 116 | 120 | 123 |
| 124 | 125 |
2.4 GHz | 104 |
| 110 | 116 | 122 | 124 | 128 | 131 |
| 133 | 134 |
Notice the relationship between path loss and distance: each time you double the distance, you lose 6 dB of signal under free space conditions. Or, put another way, if you add 6 dB of gain (for example with 6 dB of additional antenna gain, or 6 dB less cable loss), you can double the distance for free space conditions.