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Link-Budget Basics

Student Resource

Link Budget Basics

Satellite Communications — Interactive Calculator

A link budget is an accounting of every gain and loss a signal experiences from transmitter to receiver. Engineers use it to answer the fundamental question: does the signal arrive with enough power to carry useful data? The answer is expressed as a link margin — positive means you have headroom, negative means the link fails.

Adjust the sliders below to explore how transmit power, antenna gain, frequency, distance, and data-rate all interact. The chain of equations is always visible so you can see exactly where the margin is won or lost.

Calculator

Watts
= 20.00 dBW
dBi
GHz
km
dBi
K
MHz
Mbps
dB
Pt (dBW)
EIRP (dBW)
FSPL (dB)
G/T (dB/K)
C/N0 (dB‑Hz)
C/N (dB)
Eb/N0 (dB)
PASS
Link Margin
Eb/N0 − Required Eb/N0

Governing Equations

Transmit Power (dBW)
Pt(dBW) = 10 · log10(Pt,W)
Converts Watts to decibels relative to 1 Watt.
EIRP
EIRP(dBW) = Pt(dBW) + Gt(dBi)
Effective Isotropic Radiated Power — power the Tx puts into the beam.
Free-Space Path Loss
FSPL(dB) = 20 · log10(dkm) + 20 · log10(fGHz) + 92.45
Valid for d in km, f in GHz. The 92.45 constant folds in (4π/c)² unit conversions.
Receive Figure of Merit
G/T(dB/K) = Gr(dBi) − 10 · log10(Tsys,K)
Higher G/T means a better receiver; lowering noise temperature improves it without changing the antenna.
Carrier-to-Noise Density
C/N0(dB‑Hz) = EIRP − FSPL + G/T + 228.6
228.6 = −10 · log10(k), where k = 1.38×10−23 J/K (Boltzmann’s constant).
Carrier-to-Noise Ratio
C/N(dB) = C/N0 − 10 · log10(BHz)
Noise power scales with bandwidth; a wider transponder costs SNR.
Energy per Bit to Noise Density
Eb/N0(dB) = C/N0 − 10 · log10(Rb,bps)
The fundamental modulation quality metric — independent of bandwidth or data rate.
Link Margin
Margin(dB) = Eb/N0 − Required Eb/N0
≥ 0 dB: link closes (PASS). < 0 dB: link fails. Typical budgets target 3–6 dB margin for rain and pointing losses.

Key Insights

Why GEO demands large dishes and high power

At geostationary orbit (∼35,786 km), free-space path loss reaches roughly 205–210 dB at Ku-band — an extraordinary attenuation. To compensate, GEO systems rely on high-EIRP uplinks (large Tx apertures or kilowatt amplifiers) and high-G/T ground terminals. Even a 0.5 dB miscalculation can mean the difference between a working transponder and a failed link.

Higher data rate eats margin

Doubling the data rate Rb subtracts exactly 3 dB from Eb/N0, cutting margin by the same amount. This is why high-throughput satellites (HTS) at 100+ Gbps aggregate must use aggressive spectral efficiency (high-order QAM, tight frequency reuse) and near-perfect link budgets — there is no free lunch when squeezing bits through a fixed power envelope.

Ka-band and rain fade

Ka-band (26.5–40 GHz) offers wider bandwidth and smaller antennas, but atmospheric water vapor and rain can add 3–20+ dB of loss that this calculator does not model. Real Ka-band budgets include an “atmospheric margin” and often use adaptive coding and modulation (ACM) to trade data rate for link robustness during storms. Try raising frequency to 30 GHz here and watch FSPL climb — then imagine adding 10 dB of rain attenuation on top.