Algorithm for estimating the laser beam, matrix photo receiver on the background of the Gaussian noise using full sufficient statistics of the received scattered radiation

An algorithm for estimating the position of the laser beam by the component scattered in the atmosphere by a matrix photodetector against a background of Gaussian noise is developed. The algorithm is based on the Lehman-Scheffe theorem, which allows one to obtain effective estimates of the distribution parameters using complete sufficient statistics for reports of the observed implementation of scattered laser radiation. The obtained estimates provide the best quality of parameter estimation for any finite sample sizes and do not require additional studies.