Antenna Gain & EIRP Calculator
Convert between dBi, dBd, and linear antenna gain. Compute Equivalent Isotropic Radiated Power (EIRP) and Effective Radiated Power (ERP) from transmit power, feedline loss, and antenna gain.
How to Use
- Pick input type: dBi (isotropic reference), dBd (dipole reference), or linear ratio.
- Enter the gain value in the chosen unit.
- Optionally enter transmit power (watts) and feedline loss (dB) to compute EIRP.
- The tool shows all three gain representations plus EIRP in dBm — what regulators care about.
- Rule of thumb: dBi = dBd + 2.15.
Show Work
Formulas
History of Antenna Gain
Directional antennas with significant gain date to Heinrich Hertz\'s parabolic reflectors of 1888, but the modern concept of antenna gain as a measurable figure of merit took shape in the 1930s. John Kraus at Ohio State University and Sergei Schelkunoff at Bell Labs formalized the relationship between an antenna\'s physical aperture, its radiation pattern, and its gain relative to an isotropic or dipole reference. The decibel scale (developed at Bell Labs in 1924 for telephone-system calculations) made logarithmic gain expression practical.
The FCC and its predecessors have regulated radio power since 1927, but EIRP-based limits as we know them today emerged with the 1985 Part 15 rules that opened the 902-928, 2400-2483.5, and 5725-5875 MHz ISM bands to unlicensed low-power devices. Part 15 specifies maximum EIRP rather than conducted transmitter power precisely because EIRP is what other users see — and it lets regulators limit interference without dictating antenna design.
The dBi vs dBd distinction has a practical consequence: marketing literature loves dBi because the numbers are ~2 dB larger, while amateur radio tradition prefers dBd. Both are correct; just subtract 2.15 from dBi to get dBd. The same antenna, same gain, different reference.
About This Calculator
Enter antenna gain in your preferred unit, transmit power in watts, and feedline (coax, waveguide) loss in dB. The tool computes EIRP in dBm and cross-converts the gain value to all three common representations — essential for reading datasheets that mix units and for comparing against regulatory limits expressed in EIRP.
Keep in mind: this calculates main-beam EIRP, not sidelobe or back-lobe radiation. High-gain antennas have most of their energy concentrated in a narrow beam, so off-axis radiation can be 20+ dB lower. All math runs client-side; no values leave your browser.
Frequently Asked Questions
Why two gain references — dBi and dBd?
dBi compares to a perfect isotropic (point-source) radiator, a theoretical construct that radiates equally in all directions. dBd compares to a real half-wave dipole, which itself has 2.15 dBi of gain (it\'s not isotropic). Use whichever the datasheet cites — they\'re identical antennas with different reference points. dBi = dBd + 2.15 always.
What is EIRP?
Equivalent Isotropic Radiated Power: the transmit power you\'d need at an isotropic antenna to match the main-beam signal strength of your actual directional antenna. EIRP_dBm = Ptx_dBm − Loss_dB + Gain_dBi. Regulatory limits (FCC, ETSI) are specified in EIRP because it captures "how loud" your transmission appears to receivers in the main beam.
What EIRP limits apply?
FCC Part 15 for 2.4 GHz Wi-Fi: 1 W EIRP (30 dBm) for point-to-multipoint, up to 36 dBm for point-to-point with high-gain dishes. FCC for 5 GHz varies by sub-band. ISM 915 MHz: 1 W ERP (27 dBm EIRP-equivalent). Ham bands typically specified in peak envelope power without EIRP limits (except some UHF/microwave segments).
How does gain relate to distance?
Free-space path loss goes as 1/distance², which is 6 dB per doubling of distance. So a +6 dBi antenna gain doubles the effective range (in the main beam) for the same receiver sensitivity. A 20 dBi dish gives ~10× the range of an isotropic antenna at the same power.
Why doesn't higher gain always mean better?
Higher gain comes from narrower beamwidth. A 20 dBi dish has a ~15° beamwidth; a 6 dBi patch has ~60°. Point-to-point links love tight beams (reject interference, concentrate power); mobile/omnidirectional applications need wide beams so the antenna doesn\'t have to point precisely at the receiver.
Common Use Cases
Wi-Fi AP Regulatory Check
100 mW (20 dBm) radio + 3 dBi internal antenna + 0 dB feedline = 23 dBm EIRP — within FCC Part 15 limits for 2.4 GHz indoor.
Ham 70cm Repeater
50 W (47 dBm) TX + 6 dBd Yagi − 3 dB feedline = 50 dBm EIRP. ERP (dipole reference) = 50 − 2.15 = 47.85 dBm.
LoRa 915 MHz Gateway
14 dBm (25 mW) TX + 6 dBi antenna + 1 dB feedline = 19 dBm EIRP, comfortably under US 30 dBm ISM limit.
WISP 5 GHz Link
500 mW (27 dBm) + 24 dBi dish − 0.5 dB short feedline = 50.5 dBm EIRP. FCC Part 15 allows up to 53 dBm point-to-point on 5 GHz.
Satellite Uplink
100 W (50 dBm) TWTA + 45 dBi dish − 2 dB waveguide = 93 dBm EIRP (~2 GW equivalent isotropic) — needed for GEO uplink.
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