Free-Space Path Loss Calculator

Calculate the free-space path loss in dB between two antennas from distance and frequency, plus the wavelength.

SI prefixes accepted: 1k = 1 km, 868M = 868 MHz,2.4G = 2.4 GHz.
Free-space path loss
Wavelength λ
Distance in wavelengths (d / λ)

Free-space path loss

As a radio wave spreads out from an antenna, its power is diluted over an ever-larger sphere. Free-space path loss (FSPL) is that geometric spreading loss between two antennas with a clear line of sight and no obstacles.

FSPL(dB) = 20·log₁₀(d) + 20·log₁₀(f) − 147.55

with distance d in metres and frequency f in hertz. Loss rises by 6 dB each time the distance doubles, and by 6 dB each time the frequency doubles — so higher bands need more link budget for the same range.

Related

Feed this figure into theRF link budget calculator to find the received power and link margin, or size an antenna with thewavelength calculator.