Shape estimation of a circular antenna from observations on the boundary (Q1911478)
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scientific article; zbMATH DE number 871414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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0.83344615
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0.8307911
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0.83052766
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0.8291675
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0.8231589
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0.81997955
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0.8168703
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