Design of an FPGA Based Algorithm for Real-Time Solutions of Statistics-Based Positioning
The authors report on the implementation of an algorithm and hardware platform to allow real-time processing of the previously described Statistics-Based Positioning (SBP) method for continuous miniature crystal element (cMiCE) detectors. The SBP method allows an intrinsic spatial resolution of 1.4 mm FWHM to be achieved using their cMiCE design. Previous SBP solutions have required a post-processing procedure due to the computation and memory intensive nature of SBP. This new implementation takes advantage of a combination of algebraic simplifications, conversion to fixed-point math and a hierarchal search technique to greatly accelerate the algorithm.