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Free-Space Path Loss & Friis RF Link Budget Calculator

The Friis Transmission Equation models wireless radio signal power received by an antenna at a distance from a transmitter under free-space line-of-sight conditions.

Operating RF frequency (e.g. 2400 MHz for 2.4 GHz Wi-Fi / Bluetooth, 915 MHz for LoRa).

Distance between transmitter and receiver in kilometers.

Transmit RF power (20 dBm = 100 mW, 30 dBm = 1 W).

Transmitter antenna gain in dBi.

Receiver antenna gain in dBi.

Combined coax cable, connector, and insertion losses.

Calculated Result
-74.04 dBm

Received Signal Power (P_rx)

Received Power (P_rx)

-74.04 dBm

Free Space Path Loss (FSPL)

100.04 dB

Received Power in Watts

39.41 pW

Link Fade Margin (-90 dBm floor)

15.96 dB

Link Feasibility

ROBUST LINK (> 15 dB fade margin over -90 dBm sensitivity)

Calculation Breakdown

  1. Free Space Path Loss (FSPL)FSPL = 20×log₁₀(1 km) + 20×log₁₀(2400 MHz) + 32.44 = 100.04 dB
  2. Friis Transmission Link BudgetP_rx = 20 dBm (Tx) + 6 dBi (G_tx) + 2 dBi (G_rx) - 100.04 dB (FSPL) - 2 dB (loss) = -74.04 dBm
  3. Fade Margin AssessmentMargin = -74.04 dBm - (-90 dBm) = 15.96 dB

RF Link Budget Decibel Breakdown

Interactive visualization based on your current inputs

Level
-100.0-70.0-40.0-10.020Tx Power (dBm)Tx Gain (dBi)Path Loss (-dB)Rx Power (dBm)Fade Margin (dB)StagedB / dBm

What Is the Free-Space Path Loss & Friis RF Link Budget Calculator?

The Friis transmission equation calculates the received power of a wireless communications link assuming clear, obstacle-free line-of-sight propagation.

How Does the Free-Space Path Loss & Friis RF Link Budget Calculator Work?

Free Space Path Loss (FSPL) accounts for the geometric inverse-square spreading of radio waves. Summing gains and subtracting losses yields net received power P_rx in dBm.

Free-Space Path Loss & Friis RF Link Budget Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\text{FSPL (dB)} = 20 \log_{10}(d) + 20 \log_{10}(f) + 32.44, \quad P_{rx} = P_{tx} + G_{tx} + G_{rx} - \text{FSPL} - L

Free Space Path Loss calculates geometric attenuation of radio waves. Net received power sums transmitter power and antenna gains minus losses.

How to Use the Free-Space Path Loss & Friis RF Link Budget Calculator

  1. Enter carrier frequency in MHz and link span in km.
  2. Specify transmitter output power in dBm.
  3. Input antenna gains in dBi and system cable losses.

Step-by-Step Example Calculation

1 km Outdoor 2.4 GHz Wi-Fi Link

Input Values:

frequencyMhz:2400
distanceKm:1.0
transmitterPowerDbm:20.0
txAntennaGainDbi:6.0
rxAntennaGainDbi:2.0
systemLossesDb:2.0
Worked Steps: Free space path loss is 100.0 dB, delivering -74.0 dBm received power (16.0 dB fade margin over -90 dBm sensitivity).

Understanding Your Result

FSPL (dB): Geometric path attenuation.

Received Power (dBm): Signal power delivered to receiver input.

Fade Margin: Safety buffer above typical -90 dBm receiver sensitivity floor.

Factors That Affect the Result

  • Path loss increases by 6 dB for every doubling of distance or frequency.

When Should You Use This Calculator?

  • Planning point-to-point microwave links, LoRa IoT deployments, satellite ground stations, and outdoor Wi-Fi bridges.

Assumptions & Limitations

  • Assumes unobstructed line of sight (clear first Fresnel zone) without ground reflections or foliage absorption.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard IEEE telecommunications link budget formulation.

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