Link Budget Explained

Link Budget Explained

A link budget is an accounting of all the gains and losses in an RF communication link from transmitter to receiver. It tells you whether a link will work, by how much margin, and what changes would improve it. Every successful LoRa mesh deployment benefits from link budget analysis, even a rough one.

The Link Budget Equation

Received Signal Strength (dBm) =
 TX Power (dBm)
 + TX Antenna Gain (dBi)
 − TX Feedline Loss (dB)
 − Free-Space Path Loss (dB)
 − RX Feedline Loss (dB)
 + RX Antenna Gain (dBi)

To determine if a link closes, compare the received signal strength to the receiver sensitivity:

Link Margin (dB) = Received Signal Strength − Receiver Sensitivity

Positive margin = link works
Negative margin = link fails
Margin > 10 dB = comfortable link
Margin > 20 dB = robust link suitable for marginal terrain

Key Parameters Defined

EIRP (Effective Isotropic Radiated Power)

EIRP is the transmitter power plus the antenna gain, minus feedline losses. It represents the effective power that would need to be fed to an isotropic antenna to produce the same field strength in the direction of maximum radiation:

EIRP (dBm) = TX Power (dBm) + Antenna Gain (dBi) − Feedline Loss (dB)

FCC Part 15.247 limits EIRP to +30 dBm (1 watt) for most point-to-multipoint 902 - 928 MHz spread spectrum systems. For fixed point-to-point links, TX power may be reduced with a corresponding increase in antenna gain allowed (check current FCC rules and specific module certifications).

Free-Space Path Loss (FSPL)

Free-space path loss is the reduction in signal power due to the spreading of the RF wavefront as it travels through space. It is a fundamental physical loss, not a deficiency of the system:

FSPL (dB) = 20-log₁₀(d) + 20-log₁₀(f) + 20-log₁₀(4π/c)
 = 20-log₁₀(d) + 20-log₁₀(f) − 147.55

Where:
 d = distance in meters
 f = frequency in Hz

At 915 MHz, simplified:
 FSPL (dB) = 20-log₁₀(d_km) + 91.65

Examples:
 100 m: FSPL ≈ 71.7 dB
 1 km: FSPL ≈ 91.7 dB
 5 km: FSPL ≈ 105.6 dB
 20 km: FSPL ≈ 117.7 dB

Receiver Sensitivity

Receiver sensitivity is the minimum received signal power that the radio can successfully decode. It is determined by the modulation type, bandwidth, and noise figure of the receiver. LoRa sensitivity varies dramatically with spreading factor (SF):

Spreading Factor	Bit Rate (approx.)	Typical Sensitivity (dBm)	Use Case
SF7	~5.5 kbps	−123 dBm	Short range, high throughput
SF9	~1.8 kbps	−129 dBm	Medium range, normal use
SF10	~0.98 kbps	−132 dBm	Extended range
SF11	~0.54 kbps	−134.5 dBm	Long range
SF12	~0.29 kbps	−137 dBm	Maximum range

Noise Floor

The thermal noise floor is the baseline noise level a receiver must overcome, set by thermodynamics:

Noise Floor = −174 dBm/Hz + 10-log₁₀(BW_Hz) + Noise Figure (dB)

For LoRa with 125 kHz bandwidth and 6 dB noise figure:
Noise Floor ≈ −174 + 51.0 + 6 = −117 dBm

LoRa's processing gain (spreading factor) allows it to decode signals below this apparent noise floor, which is why SF12 achieves −137 dBm sensitivity.

Worked Example: Urban Mesh Node Link

Let's calculate whether a LoRa mesh link at SF11 will close between two residential nodes 2.5 km apart in a suburban environment.

Parameter	Value	Notes
TX power	+20 dBm	Meshtastic node at 100 mW
TX antenna gain	+5 dBi	5 dBi collinear, rooftop mount
TX feedline loss	−1.5 dB	10 ft LMR-200 + connectors
TX EIRP	+23.5 dBm	Under 30 dBm legal limit
Free-space path loss	−103.2 dB	2.5 km at 915 MHz
Excess path loss (urban clutter)	−10 dB	Estimated additional suburban loss
RX feedline loss	−1.5 dB	Same installation as TX node
RX antenna gain	+5 dBi	Same 5 dBi antenna
Received signal level	−87.2 dBm	23.5 − 103.2 − 10 − 1.5 + 5
Receiver sensitivity (SF11)	−134.5 dBm	SX1276/SX1262 typical
Link Margin	+47.3 dB	Excellent; link is robust

This link has over 47 dB of margin - it would still work with an additional 47 dB of path loss (over 100× more attenuation). This illustrates why LoRa is capable of penetrating buildings and covering large distances even with modest antenna installations.