EW Academy · Contents · Chapter 5 · §5.4 · Nederlandse versie

§5.4 Doppler effect

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In plain terms

If something is coming towards you, the waves it reflects are squeezed together slightly: the frequency goes up. If it is moving away, the frequency goes down. That small shift gives the speed towards or away from the radar.

In practice

A pulse-Doppler radar — such as the one in an F-16 or an AWACS aircraft — measures the radial velocity of every target this way. That lets it filter out echoes from the terrain, which moves differently from an aircraft, and still see a low-flying aircraft over land (Pulse-Doppler radar and Moving Target Indicator). The same technique is in a police speed gun.

You know the Doppler effect from an ambulance: the pitch is higher as it approaches and lower as it drives away. The same happens with radio waves. When a radar signal reflects off a moving target, the frequency of the echo shifts:

Doppler effect: the wavefronts of a moving source are closer together in front of the source and further apart behind it.
A moving source compresses the wavefronts in front of it (higher frequency) and stretches them behind it (lower frequency). Image: Tkarcher / Tatoute, Wikimedia Commons — CC BY-SA 3.0.
fd = (2 × vr) / λ where: fd = Doppler shift (Hz) vr = radial velocity of the target (m/s) — see Radial velocity λ = wavelength of the radar (m) the factor 2: the target "receives" the signal shifted and "sends" it back shifted again
Example

An X-band radar (10 GHz, λ = 3 cm) sees a target coming straight at the radar at 300 m/s. The Doppler shift is fd = (2 × 300) / 0.03 = 20,000 Hz = 20 kHz. On a carrier of 10,000,000,000 Hz that is a minuscule shift — yet coherent radars can measure it.

The Doppler effect gives radar two enormous capabilities:

Remember

Doppler measures only the radial velocity component. A target flying exactly tangentially has zero Doppler shift and can disappear into the radar's clutter filter ("notching").