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Shape estimation of a circular antenna from observations on the boundary - MaRDI portal

Shape estimation of a circular antenna from observations on the boundary (Q1911478)

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scientific article; zbMATH DE number 871414
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Shape estimation of a circular antenna from observations on the boundary
scientific article; zbMATH DE number 871414

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    Shape estimation of a circular antenna from observations on the boundary (English)
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    16 September 1996
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    A method of estimating the shape of a circular antenna disposing of boundary observations from sensors is given. The model is composed by a pair of equations: an elliptic partial differential one excited by a disturbing noise and the boundary condition one. The estimate is represented as a linear form in the sensor values to which a noise is added. By use of Green functions the residual of the minimizing problem is expressed in a closed form. Then, a rapidly convergent series for calculating the inverse of the elliptic operator is found. Some numerical examples confirm the validity of the proposed approach.
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    estimation
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    boundary value processes
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    smoothing
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    Green functions
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