Radar Systems Radar Fundamentals Informational

How do I calculate the Doppler shift of a moving target at a given radar frequency?

The Doppler shift for a radar target: f_D = 2 × v_r × f₀ / c = 2 × v_r / λ, where v_r is the radial velocity (positive for approaching targets) and λ is the radar wavelength. Examples: at 10 GHz (X-band, λ = 3 cm), a target moving at 300 m/s (1080 km/h): f_D = 2 × 300 / 0.03 = 20 kHz. At 77 GHz (automotive, λ = 3.9 mm), a car at 30 m/s (108 km/h): f_D = 2 × 30 / 0.0039 = 15.4 kHz. Velocity resolution: Δv = λ / (2 × T_coherent), where T_coherent is the coherent processing time. For a 10 GHz radar with 10 ms coherent processing: Δv = 0.03 / (2 × 0.01) = 1.5 m/s. Maximum unambiguous velocity: v_max = ±λ × PRF / 4.
Category: Radar Systems
Updated: April 2026
Product Tie-In: Radar Components, Antennas, T/R Modules

Doppler Shift in Radar

The Doppler shift is proportional to the radial velocity component (velocity along the line from radar to target). Targets moving perpendicular to the radar line of sight produce zero Doppler shift. For airborne radar looking down: ground clutter returns have Doppler shifts that depend on the aircraft velocity and look angle: f_clutter = 2 × v_aircraft × cos(θ) / λ. The clutter Doppler spread must be filtered out to detect moving targets.

Common Questions

Frequently Asked Questions

How does Doppler help detect targets?

Moving targets have a non-zero Doppler shift, while stationary clutter has zero Doppler (or a known Doppler from platform motion). MTI (moving target indication) and pulse-Doppler processing separate targets from clutter based on their different Doppler shifts. This is the primary technique for ground-based air surveillance and airborne ground-moving-target indication (GMTI).

What is the blind speed?

Blind speeds occur at v = n × λ × PRF / 2 (integer multiples). At these velocities, the Doppler shift equals a multiple of the PRF, and the target appears at zero Doppler (indistinguishable from clutter). Mitigation: stagger the PRF between pulses so that the blind speeds of different PRFs do not coincide.

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