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A Two-Parameter Class of Bessel Weightings with Controllable Sidelobe Behavior for Linear, Planar-Circular, and Volumetric-Spherical Arrays; the Ideal Weighting-Pattern Pairs.

机译:线性,平面圆和体积球阵列具有可控旁瓣行为的双参数贝塞尔加权类;理想的加权模式对。

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摘要

A two-parameter class of Bessel weightings is presented whose patterns have controllable sidelobe decay and mainlobe-to-peak-sidelobe ratio, for one-two-, and three-dimensional arrays. In the one-dimensional application, the class of weightings subsumes the Kaiser-Bessel weighting as a special case, and extends to the ideal van der Maas weighting as a limiting case. In the two-and three-dimensional applications, all the results are new; the ideal patterns in these latter cases are also derived and found to require weightings with generalized functions that are more singular than the delta functions required for one dimension. Approximations to the generalized functions are presented. (Author)

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