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Radar Timing and Geometry

A guide to pulse repetition interval, unambiguous range, radar horizon, and range resolution, with an emphasis on what each quantity limits or enables in a radar system.

Key formulas

Pulse repetition interval
PRI = 1 / PRF
Unambiguous range
R_unamb = c x PRI / 2
Range resolution
R_res = c x pulse width / 2

What each quantity tells you

PRI is a timing quantity. Unambiguous range describes how far a target can be before echoes from one pulse are mistaken for another. Range resolution describes how closely two targets can sit and still be distinguished.

Radar horizon introduces geometry by setting a line-of-sight-style limit linked to height and curvature.

Common mistakes

  • Confusing pulse width with pulse repetition interval.
  • Assuming better resolution automatically means longer unambiguous range.
  • Forgetting the factor of one half that appears in round-trip time relationships.
  • Treating radar horizon as a full detection guarantee instead of a geometric limit.
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