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:

 

 

 

dBi = dBd + 2.15

 

 

 

 

 

Some antennas that are FCC approved for use with the RF400 series are:

 

 

 

 

 

 

 

 

Mfg.Antenna TypeBandModelCSI Item #dBddBiSize

 

 

 

 

 

Gain

Gain

 

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

ANT-2.4-CW-RCT-RP

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 –110 dBm at ~10-4raw BER.

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:

 

 

Lp (dB) = 32.4 + 20 x log( f ) + 20 x log ( d )

dB

(f in MHz, d in km)

 

 

Lp (dB) = 36.6 + 20 x log( f ) + 20 x log ( d )

dB

(f in MHz, d in miles)

 

 

Here is a table showing the free space path loss (in dB). Note the effect of

 

 

frequency.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Frequency

 

 

 

 

 

Distance

 

 

 

 

 

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.

H-4