The Maximum Unambiguous Range conversion calculator determines the greatest distance at which a radar can accurately detect a target without range ambiguity. It uses the pulse repetition frequency (PRF) of the radar to calculate this range, helping engineers optimize radar system performance and avoid overlapping echoes from successive pulses.
Formula
Unambiguous Range = c / (2 * PRF)
Formula Explanation
- c is the speed of light, approximately 3 × 10⁸ meters per second.
- PRF is the pulse repetition frequency in hertz (Hz).
- The factor of 2 accounts for the two-way travel of the radar pulse — from transmitter to target and back.
- A lower PRF increases the maximum unambiguous range but reduces the radar’s ability to track high-speed targets.
Uses of this calculator
- Designing radar systems to balance detection range and velocity measurement.
- Determining operational limits for air traffic control and weather radar.
- Setting appropriate PRF values to avoid target range ambiguity.
- Optimizing radar configurations for surveillance and tracking applications.
What is the maximum unambiguous range for a radar with a PRF of 1 kHz?
Input: PRF = 1 kHz
Output:
- Unambiguous Range = 3 × 10⁸ / (2 × 1000) = 3 × 10⁸ / 2000 = 150,000 m
- Maximum Unambiguous Range = 150 km