Gain: Difference between revisions

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(added brief description and simplified formulae)
 
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The gain of an antenna is the relative increase in radiation at the maximum point expressed as a value in dB above a standard. The standard to which other antennas are compared is usually a ½-wavelength dipole. The standard antenna is given a reference gain of 0dBD (zero decibel referenced to dipole). This comes from:
The gain of an antenna is the relative increase in radiation at the maximum point expressed as a value in dB above a standard. The standard to which other antennas are compared is usually a ½-wavelength dipole. The standard antenna is given a reference gain of 0dBD (zero decibel referenced to dipole). This comes from:


gain = <math> 10*log(\frac {Pe}{Pi}) </math>
<math> \mbox{gain} = 10 \times log \left( \frac {Pe}{Pi} \right) </math>


Where '''Pe''' is effective radiated power and '''Pi''' is input power
Where '''Pe''' is effective radiated power and '''Pi''' is input power
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An antenna with the effective radiated power of three times the input power would therefore have a gain of:
An antenna with the effective radiated power of three times the input power would therefore have a gain of:


<math> 10*log(\frac {3}{1}) </math> = 4.77dBD.
Pe = 3,  Pi = 1
 
<math> 10 \times log \left( \frac {3}{1} \right) = 4.77\mbox{dBD} </math>

Revision as of 23:54, 5 August 2008

What is Gain?

The gain of an antenna is the relative increase in radiation at the maximum point expressed as a value in dB above a standard. The standard to which other antennas are compared is usually a ½-wavelength dipole. The standard antenna is given a reference gain of 0dBD (zero decibel referenced to dipole). This comes from:

<math> \mbox{gain} = 10 \times log \left( \frac {Pe}{Pi} \right) </math>

Where Pe is effective radiated power and Pi is input power

An antenna with the effective radiated power of three times the input power would therefore have a gain of:

Pe = 3, Pi = 1

<math> 10 \times log \left( \frac {3}{1} \right) = 4.77\mbox{dBD} </math>