EW Academy · Contents · Chapter 5 · §5.21 · Nederlandse versie

§5.21 Decibels and logarithms

Open §5.21 in the academy

In plain terms

Decibels (dB) work with ratios instead of plain numbers. +3 dB is roughly a doubling, +10 dB ten times as strong and −3 dB a halving. That turns multiplying into simple adding.

In practice

A communications planner adds up a link budget: transmit power plus antenna gain, minus cable and path losses. If enough is left above the receiver's sensitivity, the link works. An EW planner works out in exactly the same way whether a jammer will overpower the radar (J/S, Burn-through and the J/S ratio).

Radar and EW quantities span an enormous range: transmit powers of megawatts, echoes of femtowatts, and the 1/R⁴ law (Inverse square law) working with factors of billions. Numbers like these are awkward to handle in "ordinary" units. That is why the whole discipline works in decibels (dB) — a logarithmic scale that compresses huge ratios into manageable numbers.

ratio in dB = 10 × log10(P1 / P2) for power. For voltage/amplitude: 20 × log10(V1/V2), because power ∝ voltage²

The big advantage: multiplication becomes addition. A link budget (transmit power × gain × losses × …) becomes a simple sum in dB. A few anchor values you should know by heart:

dBPower ratioMemory aid
0 dB× 1equal
3 dB× 2doubling
−3 dB× 0.5halving — the "−3 dB beamwidth" (Angular resolution)
6 dB× 42 × 2
10 dB× 10order of magnitude
20 dB× 1002 × 10 dB
30 dB× 1,0003 × 10 dB
40 dB× 10,000stealth rule of thumb (Stealth)

Rule of thumb for quick calculation: every +10 dB is ×10, every +3 dB is ×2. So 43 dB ≈ 20 dB + 20 dB + 3 dB = 100 × 100 × 2 = 20,000 (the processing gain of the C/A code, Processing gain: the key to everything).

You often see dB with a suffix — then it is not a ratio but an absolute value relative to a fixed reference:

UnitReferenceUse
dBW1 watttransmit/receive power
dBm1 milliwattreceived levels (0 dBm = 1 mW; −160 dBW ≈ GPS signal)
dBiisotropic radiatorantenna gain (Gain)
dBsm1 m²radar cross section (Radar Cross Section): 0 dBsm = 1 m²
Why this comes back everywhere

Beamwidth (−3 dB), side-lobe suppression (−30 dB), processing gain (+43 dB), jam-to-signal ratio, RCS (dBsm) — almost every radar and EW specification is given in dB. Master the anchor values (3, 10, 20 dB) and you can read a threat data sheet in seconds.