Maximum unambiguous range (prf calculator, maximum unambiguous range formula)

This calculator determines the maximum range at which a radar can unambiguously detect a target, based on the pulse repetition frequency (PRF). It is essential for designing and evaluating pulse radar systems.

Useful for radar engineers, detection technicians and students working on range measuring and target tracking systems.

Formula

Unambiguous range = c/(2 × PRF)

where c = 3 × 10⁸ m/s and PRF = pulse repetition frequency (Hz)

Explanation of the formula

it is the speed of light, representing the speed of propagation of radar waves.
PRF is the number of radar pulses emitted per second.
The higher the PRF, the more the unambiguous range decreases, because echoes from previous pulses can be superimposed on the new pulses.

Calculation of the unambiguous range for a 5 kHz radar

Input : PRF = 5000 Hz

Output : Unambiguous range ≈ 30,000 meters (30 km)

Benefits and uses

Helps size radar systems to desired range.
Allows you to optimize the PRF to avoid distance ambiguities.
Essential for the design of surveillance and navigation radars.
Useful for teaching and research in radar signal processing.