Decibels Relative to Isotropic

dBi

/dee-bee-eye/
dBi (decibels relative to isotropic) is the unit of antenna gain referenced to a theoretically perfect isotropic radiator that emits equally in all directions. An antenna with 20 dBi gain focuses its energy 100 times more effectively than an isotropic antenna. dBi is the standard antenna gain unit used in link budget calculations and system specifications.
Category: Fundamental Concepts
Related to: dB, Gain, Antenna, EIRP, Directivity
Units: dBi

Understanding dBi

dBi provides a universal standard for comparing antennas. Since a perfect isotropic radiator is physically impossible but mathematically well-defined, it serves as a convenient reference. All antenna gains are positive in dBi because any real antenna focuses energy better than an isotropic radiator in at least one direction.

dBi vs dBd

Some antenna specifications use dBd (decibels relative to a half-wave dipole). Since a dipole has 2.15 dBi gain: dBi = dBd + 2.15. Always check which reference is used when comparing antennas.

Common dBi Values

AntennaGain (dBi)Usage
Isotropic0Reference only
Half-wave dipole2.15Reference antenna
Quarter-wave whip5.15Mobile, handheld
Yagi (10 el)11-14Amateur radio
Standard gain horn15-25Calibration
1.2m dish at 12 GHz38VSAT terminal
15m dish at 6 GHz52Earth station
dBi = 10 x log10(G_linear)

G_linear = 10^(dBi/10)

dBi = dBd + 2.15

EIRP = P_tx (dBm) + G (dBi) - L_cable (dB)
Common Questions

Frequently Asked Questions

What does dBi mean?

dBi measures antenna gain relative to an isotropic radiator (a theoretical antenna that radiates equally in all directions). A 10 dBi antenna concentrates energy 10 times more effectively than an isotropic antenna in its main beam direction.

What is the difference between dBi and dBd?

dBi references an isotropic radiator. dBd references a half-wave dipole. Since a dipole has 2.15 dBi gain: dBi = dBd + 2.15. A '10 dBd' antenna has 12.15 dBi gain. Always verify which reference is being used.

Can antenna gain in dBi be negative?

No. All real antennas have gain of at least 0 dBi (equal to isotropic) in their direction of maximum radiation. However, in some specific directions (nulls), the gain can be below 0 dBi, meaning less radiation than an isotropic antenna in that direction.

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