Retrieving Best-Fit Paraboloid from Signals of a Ground Based Beacon for Electroic Compensation of Satellite Multi-beam Hybrid Reflector Antenna Distortions

Due to the influence of operating conditions, the reflector profile of a large-sized satellite antenna undergoes distortions, which lead to a deterioration in antenna performance and a decrease in the energy efficiency of the communication system. Monitoring the current state of the reflector and compensating for detected displacements can significantly reduce these losses. In the case of a multi-beam hybrid reflector antenna, it is possible and of interest to control the reflector profile using signals from a ground beacon received by an antenna array or a cluster of its elements. In this paper, we discuss an iterative algorithm for recovering the parameters of the so-called best-fit paraboloid, analyze its convergence (depending on reflector distortion), and discuss the simulation results both for specific conditions and for a large number of random situations.