Avionics
Intermediate

Free-Space Path Loss

Signal power lost simply by spreading through free space, growing with both distance and frequency.

Formula

FSPLdB=20log10d+20log10f+32.44FSPL_{dB} = 20\log_{10}d + 20\log_{10}f + 32.44

Variables

FSPLPath loss (dB)
dDistance (km)
fFrequency (MHz)

Example

At 100 km, 1090 MHz: FSPL ≈ 20×2 + 20×3.04 + 32.44 ≈ 133 dB

Did You Know?

Path loss quadruples (−6 dB) each time distance doubles, which is why long-range ADS-B and radar links need high transmit power and sensitive receivers.

Share this formula