Building a radio link budget
Combine transmit level, antennas, losses and receiver threshold with explicit model limits.
- Build a budget in decibels.
- Distinguish calculated margin from guaranteed reception.
Use a common reference
Start with transmit power in dBmdBm expresses an absolute power level relative to 1 milliwatt, combining the logarithmic dB scale with a fixed power reference.Example & full explanation →. Add transmit and receive antenna gains in dBi, then subtract cable and path losses in dB. The result is a modelled receive level. Every value must refer to the same frequency and actual antenna direction; using peak GainGain describes the ratio of output to input level. In a receiver it can occur before or after digitisation and is often expressed in dB.Example & full explanation → from another direction would be incorrect.
Free-space loss is FSPL = 20·log₁₀(4πdf/c), using metres and hertz. At 145 MHz over 10 km it is about 95.7 dB. Doubling distance adds roughly 6 dB, as does doubling frequency when isotropic-referenced antenna gains stay unchanged.
↑ Back to contentsMargin above receiver threshold
With 37 dBm transmit level, 2 dBi at each antenna and 3 dB total additional loss, the example gives about −57.7 dBm at the receiver. Against an assumed −110 dBm threshold, calculated margin is about 52.3 dB. That threshold is an example and must be based on an appropriate quality criterion for a real receiver.
Negative margin means the model falls below the selected threshold. Positive margin is still not a guarantee of success. Unmodelled blockage, polarisation, multipath and interference can substantially alter the outcome. Record each additional loss assumption explicitly instead of hiding it behind a seemingly precise number.
↑ Back to contentsWhen free space is insufficient
The free-space model assumes suitable far-field geometry without obstacles. It models neither an ionospheric HF link nor a path through several mountain ranges. Check horizon and Fresnel clearance and use terrain and propagation data for real site planning. The calculator primarily helps explain the effect of individual assumptions.
↑ Back to contentsFrom reading to experimenting
Free-space path loss
145 MHz over 10 km gives approximately 95.68 dB free-space path loss.
Open example with starting values →Frequency: 145 MHz · Distance: 10 kmLink budget
Doubling free-space distance reduces margin by about 6.02 dB. Reducing cable loss by 3 dB adds 3 dB of margin.
Open example with starting values →Frequency: 145 MHz · Distance: 10 km · Transmit level: 37 dBm · Transmit antenna gain: 2 dBi · Receive antenna gain: 2 dBi · Additional total losses: 3 dB · Receive threshold: -110 dBmThen change exactly one value. Compare the result and use the formula to explain why it changes. The model limits below the calculator also apply here.
Got the idea?
You increase transmit power from 5 to 10 W. How much margin is added if everything else stays equal?
Show answer & explanation
About 3.01 dB. That does not double distance in the free-space model; approximately 6 dB would be required.