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.

Get "10 RF Design Principles Every Engineer Should Know" Free
Learn practical principles for better RF circuits, PCB layouts, simulations, measurements, and troubleshooting.