Understanding Radar Systems from a Mathematical Standpoint

Max DeLeon, Jessica Tapia, Emily Heulitt, and Dr. Ivona Grzegorczyk


Radar may seem fundamentally complex, but most of it is simply math! With radar gaining more relevancy as technology continues to advance, understanding radar is crucial in applications pertaining to the position of an object in relation to another. In this research project we analyze the principles of radar systems to help the reader/student adequately understand how radar systems function to effectively be able to measure the capability of radars in comparison to other technological systems. Using a mathematical model of a radar, we address the radar range equation and its derivation. In addition, we introduce other important terms, concepts, and theories which outline the principles of radar systems, including Pulse Repetition Interval (PRI), Pulse Repetition Frequency (PRF), Electronic countermeasures (ECM), and Radar cross-sections (RCS). As these principles are established, we transition into analyzing the inner workings of different radar systems, including synthetic-aperture radars (SARs) and Surface-to-Air Missile (SAM) systems.


  1. Hi Max, good explanation of mathematics and good explanation. Next time include some pictures!!

  2. Great presentation!

    I liked how you formatted the equations in a comprehensible manner.

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