A Class of CFAR Detectors Implemented in the SAR-GMTI Processor gmtipro2 – Mathematical Formulation of the Algorithms


  1. Dragosevic, M.
  2. Burwash, W.
Corporate Authors
Defence R&D Canada - Ottawa, Ottawa ONT (CAN);MD TerraBytes Inc., Ottawa ON (CAN);MDA, Ottawa Ont (CAN)
This document provides a detailed mathematical description of several detection algorithms that have been implemented in the Surface Moving Target Indicator (SMTI) processor gmtipro2 and tested on the actual Synthetic Aperture Radar (SAR) data from RADARSAT-2 acquired in the Moving Object Detection Experiment (MODEX) mode. The common feature of the described algorithms is their Constant False Alarm Rate (CFAR) property. All of the detectors are generalized with respect to the number of available channels. Thus, they are defined both for Moving Object Detection Experiment 1 (MODEX1) and Moving Object Detection Experiment 2 (MODEX2) modes, which have two physical and four virtual channels, respectively. All of the detectors work in the image domain, but can be combined with Doppler Centroid (DC) offset focusing in order to integrate all signal energy and to improve the probability of detection. DC estimation, as one of the most important auxiliary algorithms, is also presented in the form of mathematical equations. The emphasis of the report is entirely on the mathematical formalism behind the computer code that implements these algorithms. Open literature references are provided regarding the derivation and analysis of these algorithms.

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Report Number
DRDC-OTTAWA-CR-2013-089 — Contract Report
Date of publication
01 Feb 2015
Number of Pages
Electronic Document(PDF)

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