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Friis Transmission Calculator

Calculators / Friis Transmission

Friis Transmission
Calculator

Calculate received signal power, free-space path loss, link margin, and maximum range for any RF communication system. Essential for link budget analysis — used in WiFi, 5G, satellite, radar, and any wireless link design.

TX Pt = — FSPL = — RX Pr = — d = — km Gt = — dBi Gr = — dBi
Distance 10.0 km
0.1 km100 km
Transmitter Free-Space Path Receiver

⚙ Friis Transmission Engine

Solving for: Received Power (Pr)

20 dBm = 100 mW

λ = — m

Free-space path loss = —

0 dBi = isotropic. Dipole = 2.15 dBi

0 dBi = isotropic antenna at receiver

Minimum detectable signal at receiver

Advanced / Loss Parameters

dB

Coax + connector loss at transmitter side

dB

Coax + connector loss at receiver side

Atmospheric loss over link distance

Loss due to TX/RX polarisation mismatch

dB

Antenna misalignment loss

dB

Receiver noise figure (typical LNA: 2–4 dB)

Calculated Results

Received Power (Pr) dBm
FSPL
Link Margin
Pr (Watts)
Max Range

EIRP (Pt + Gt − cable)
Total Path Loss
SNR at Receiver
Thermal Noise Floor
Free-space λ
Link Status
Enter values above to calculate.

📖 The Friis Equation

The Friis transmission equation, derived by Harald T. Friis in 1946, gives the power received by one antenna from another in free space.

Friis Equation (linear)

Pr = Pt · Gt · Gr · (λ/4πd)²

In dB (link budget form)

Pr = Pt + Gt + Gr − FSPL
FSPL = 20·log(d) + 20·log(f) + 20·log(4π/c)

FSPL Simplified

FSPL(dB) = 20log(d_km) + 20log(f_GHz) + 92.44

d in km, f in GHz. Classic telecom form.

The link margin is the excess received power above the receiver’s minimum sensitivity. Positive margin = reliable link. Engineers typically design for ≥10–20 dB margin for fading.

📊 Link Budget Visualiser

Live Budget | ◉ Power vs Distance & Budget Breakdown
Chart Type
Freq sweep 2.40 GHz
0.1 GHz30 GHz
Gain sweep 0 dBi
−1040 dBi
Received Power vs Distance 0 −40 −80 −120 −140 Distance → Pr (dBm) RX sensitivity
Link Budget Insights

Enter link parameters above to see real-time link quality analysis.


Common Applications

📶

WiFi & Cellular

Indoor/outdoor coverage planning, cell radius calculation, and interference analysis for 4G/5G networks.

🛰️

Satellite Links

Uplink/downlink budget for LEO, MEO, and GEO satellites. EIRP and G/T calculations for Earth stations.

🔗

Point-to-Point Microwave

Long-haul backhaul link design, fade margin analysis, and repeater spacing for licensed microwave links.

📡

Radar Systems

Radar range equation (a double application of Friis) for target detection range estimation.

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