Shape Estimation of a Circular Antenna from Observations on the Boundary

摘要

A smoothing algorithm for estimating the shape of a circular antenna from boundary observations is described. We consider a homogenized static antenna model, consisting of a single partial differential equation with mixed boundary conditions. An exact expression is derived for the smoother, and a suitable approximation is calculated. An FFT based implementation is found to be computationally efficient. Simulation results for 8, 16, 32 and 64 sensors are given, indicating a point of diminishing returns in adding more sensors.