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Shape estimation of a circular antenna from observations on the boundary
Authors:Robert Patton Leland
Affiliation:(1) Department of Electrical Engineering, University of Alabama, Box 870286, 35487-0286 Tuscaloosa, AL
Abstract: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.
Keywords:estimation  stochastic processes  boundary value processes  smoothing  partial differential equations
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