Friis Transmission Calculator

dBi
dBi
m

This calculator uses the Friis equation to estimate the power received by an antenna based on the transmitted power, the gain of the antennas and the distance between them. It makes it possible to evaluate the propagation losses in a radio link in free space.

Formula

Pr = (Pt × Gt lin × Gr lin × λ²) / (4 × π × R)²

Where Gt and Gr are converted from gain in dBi to linear gain: 10^(G dBi /10)

Explanation of the formula

The Friis formula relates the received power (Pr) to the transmitted power (Pt) taking into account the gains of the transmitting and receiving antennas (Gt, Gr), the wavelength (λ) and the separation distance (R). It assumes a direct line of sight and no obstacles. This equation is essential for predicting the performance of radio and microwave communications.

Uses of the calculator

  • Estimate the power received in a radio or satellite link.
  • Analyze propagation losses in free space.
  • Optimize the parameters of an RF communication system.
  • Reference tool for telecommunications engineers and antenna designers.

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