# What is the difference between dBi and dBd antenna gain?

Antenna gain specifications use two different reference points - dBi and dBd - and confusing them leads to incorrect [link budget calculations](https://wiki.meshamerica.com/books/network-planning/page/link-budget-calculations). Here's what each means and how to convert between them.

## The Reference Antennas

- **dBi (decibels relative to isotropic)** - Compares gain to a theoretically perfect isotropic radiator (a point that radiates equally in all directions - a perfect sphere). This is a theoretical reference that doesn't exist in practice.
- **dBd (decibels relative to dipole)** - Compares gain to a half-wave dipole antenna, which is the most common practical antenna type and a natural reference for antenna engineers.

## The Conversion

```
dBi = dBd + 2.15

Examples:
0 dBd (dipole reference) = 2.15 dBi
3 dBd = 5.15 dBi (approximately 5 dBi)
5.85 dBd = 8 dBi
9 dBd = 11.15 dBi (approximately 11 dBi)
```

## Which is Used in Practice?

Most commercial antenna manufacturers use dBi because the numbers look higher (marketing benefit). For the 902-928 MHz ISM band that matters here, FCC Part 15 expresses its EIRP and antenna-gain limits using the isotropic (dBi) reference - so convert any dBd spec to dBi (add 2.15) before checking it against the 4 W (36 dBm) EIRP ceiling or the 6 dBi antenna-gain threshold. Most link budget calculators accept either unit, as long as you're consistent.

**Rule of thumb:** When comparing antennas, make sure you're comparing the same units. A "5 dBd" antenna and a "5 dBi" antenna are NOT equivalent - the dBd antenna is 2.15 dB better. This difference can mean the difference between a reliable link and a marginal one.

## Practical Antenna Gain Reference

<table id="bkmrk-antenna-typetypical-"><thead><tr><th>Antenna Type</th><th>Typical Gain (dBi)</th><th>Typical Gain (dBd)</th></tr></thead><tbody><tr><td>Stock rubber duck</td><td>~0 to 2 dBi</td><td>~-2 to 0 dBd</td></tr><tr><td>Quarter-wave with ground plane</td><td>~5 dBi (ideal ground plane; less in practice)</td><td>~2.85 dBd</td></tr><tr><td>Half-wave dipole</td><td>2.15 dBi</td><td>0 dBd</td></tr><tr><td>5/8 wave vertical</td><td>4-5 dBi</td><td>2-3 dBd</td></tr><tr><td>3-element yagi</td><td>7-8 dBi</td><td>5-6 dBd</td></tr><tr><td>5-element yagi</td><td>10-11 dBi</td><td>8-9 dBd</td></tr><tr><td>Commercial 5 dBi fiberglass</td><td>5 dBi</td><td>2.85 dBd</td></tr><tr><td>Commercial 8 dBi fiberglass</td><td>8 dBi</td><td>5.85 dBd</td></tr></tbody></table>

Note: a quarter-wave monopole over an *ideal* (infinite, perfectly conducting) ground plane radiates into a half-space and so has roughly 3 dB more gain than a dipole - about 5 dBi. Real, finite ground planes deliver less than this, but it is not equal to a plain dipole. Use this table as the single canonical reference for stock-antenna gain figures across the wiki.

## What Gain Actually Buys You

Every 3 dB of additional gain (all else equal) doubles the effective radiated power. Because free-space range scales with the square root of the power ratio (range ∝ √EIRP), gain translates to range as:

- 3 dB gain improvement ≈ 41% range increase in free space (√2 = 1.41x)
- 6 dB gain improvement ≈ 100% range increase / double in free space (√4 = 2x)
- 10 dB gain improvement ≈ 216% range increase in free space (√10 = 3.16x)

These are free-space figures. In practice real-world gains are lower due to terrain and building losses, and higher-gain antennas are also constrained by the 4 W (36 dBm) EIRP limit - you often cannot legally or usefully realize the full theoretical range gain. Still, the relative improvement from a better antenna (within the legal limit and with good siting) is significant.