Free Space Path Loss (FSPL) Calculator

Calculate free space path loss, received signal power, link margin, and maximum range for RF links using the Friis transmission equation.

Free Space Path Loss
100.04 dB
FSPL = 20logโ‚โ‚€(d) + 20logโ‚โ‚€(f) + 32.44 (d in km, f in MHz)
Received Power
-80.04 dBm
Pr = Pt + Gt + Gr โˆ’ FSPL
Wavelength
0.1249 m
ฮป = c / f
Fresnel Zone Radius
5.59 m
First Fresnel zone clearance at midpoint
Link Margin
9.96 dB
Margin above โˆ’90 dBm receiver sensitivity
Max Range (โˆ’90 dBm)
3.15 km
Maximum distance for โˆ’90 dBm received power
Signal Strength
-80.0 dBm
-120 dBm-90-700 dBm
BandFrequencyFSPL @ 1 km
AM Radio1 MHz32.4 dB
FM Radio100 MHz72.4 dB
LTE 700700 MHz89.3 dB
WiFi 2.4G2.4 GHz100.0 dB
WiFi 5G5.8 GHz107.7 dB
Ku-Band Sat12 GHz113.9 dB
mmWave 5G28 GHz121.3 dB
60 GHz60 GHz127.9 dB
Planning notes, formulas, and examples

About the Free Space Path Loss (FSPL) Calculator

Free Space Path Loss (FSPL) describes the attenuation of a radio signal as it propagates through unobstructed space between a transmitter and receiver. It is the foundational building block of any RF link budget calculation, used in WiFi planning, cellular network design, satellite communications, and point-to-point microwave links.

FSPL increases with both distance and frequency โ€” doubling the distance adds 6 dB of loss, and doubling the frequency also adds 6 dB. This is why higher-frequency bands like 5 GHz WiFi or millimeter-wave 5G have shorter range than lower-frequency bands at the same power level.

This FSPL Calculator computes the path loss in decibels, the received signal power using the Friis transmission equation, the first Fresnel zone radius for line-of-sight clearance, and the maximum range for a given receiver sensitivity. Enter your frequency, distance, transmit power, and antenna gains to get a complete link budget summary. The reference table shows FSPL at 1 km for common frequency bands from AM radio to 60 GHz.

When This Page Helps

Use this calculator to estimate theoretical path loss, received power, and link margin before you add real-world losses such as foliage, diffraction, or building penetration. It is a fast first-pass check for whether a link budget is even plausible in ideal conditions. That makes it useful for screening candidate frequencies or distances early in the design process.

How to Use the Inputs

  1. Enter the operating frequency in MHz.
  2. Enter the link distance and select the unit (km, miles, or meters).
  3. Enter the transmitter output power in dBm.
  4. Enter the transmit and receive antenna gains in dBi.
  5. Use preset buttons for common scenarios like WiFi, LTE, or satellite links.
  6. Review FSPL, received power, Fresnel zone radius, and link margin.
  7. Check the reference table for FSPL values across common frequency bands.
Formula used
FSPL (dB) = 20 logโ‚โ‚€(d) + 20 logโ‚โ‚€(f) + 32.44 where d = distance in km, f = frequency in MHz Received Power: Pr = Pt + Gt + Gr โˆ’ FSPL (all in dB/dBm/dBi) Fresnel Radius: r = 17.32 ร— โˆš(d / (4f)) at midpoint

Example Calculation

Result: FSPL = 100.0 dB, Received Power = โˆ’80.0 dBm

At 2.4 GHz over 1 km with 20 dBm transmit power and unity-gain antennas, the signal arrives at โˆ’80 dBm โ€” above most WiFi receiver sensitivities.

Tips & Best Practices

  • Every doubling of distance adds about 6 dB of free-space loss, which is why range disappears quickly when you stretch a fixed-power link.
  • Higher-gain antennas improve link margin, but only if alignment and beamwidth are still practical for the installation.
  • FSPL is only the starting point for a link budget; feeder loss, fade margin, obstruction loss, and receiver implementation losses still matter.
  • Check Fresnel clearance as well as received power, because a path can look line-of-sight and still perform badly.

What FSPL Represents

Free-space path loss is the geometric spreading loss for a radio signal in an ideal unobstructed environment. It gives you the theoretical floor for path loss before terrain, clutter, weather, polarization mismatch, and hardware losses push the real number higher.

Why Frequency Matters

At the same distance, higher-frequency links suffer higher free-space loss. That does not automatically make them unusable, but it means they often need more antenna gain, shorter paths, or tighter alignment than lower-frequency systems.

Link-Budget Use

FSPL is useful because it turns a qualitative radio problem into a first-pass numbers check. If the link already fails in free space, no installation trick will save it. If it passes comfortably, the next step is adding realistic fade and obstruction margins.

Sources & Methodology

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Frequently Asked Questions

  • FSPL assumes a perfect unobstructed path with no extra environmental losses. Real-world losses from buildings, vegetation, rain, polarization mismatch, and multipath are additional and often dominate the real link budget.