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Pattern Reconstruction for Deviated AUT in Spherical Measurement by Using Spherical Waves
Yang MIAO Junichi TAKADA
Publication
IEICE TRANSACTIONS on Communications
Vol.E97B
No.1
pp.105113 Publication Date: 2014/01/01
Online ISSN: 17451345
DOI: 10.1587/transcom.E97.B.105
Print ISSN: 09168516 Type of Manuscript: PAPER Category: Antennas and Propagation Keyword: antenna pattern reconstruction, spherical wave expansion, deviated AUT, translational phase shift, rotation and translation of spherical waves,
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Summary:
To characterize an antenna, the acquisition of its threedimensional radiation pattern is the fundamental requirement. Spherical antenna measurement is a practical approach to measuring antenna patterns in spherical geometry. However, due to the limitations of measurement range and measurement time, the measured samples may either be incomplete on scanning sphere, or be inadequate in terms of the sampling interval. Therefore there is a need to extrapolate and interpolate the measured samples. Spherical wave expansion, whose bandlimited property is derived from the sampling theorem, provides a good tool for reconstructing antenna patterns. This research identifies the limitation of the conventional algorithm when reconstructing the pattern of an antenna which is not located at the coordinate origin of the measurement setup. A novel algorithm is proposed to overcome the limitation by resampling between the unprimed and primed (where the antenna is centred) coordinate systems. The resampling of measured samples from the unprimed coordinate to the primed coordinate can be conducted by translational phase shift, and the resampling of reconstructed pattern from the primed coordinate back to the unprimed coordinate can be accomplished by rotation and translation of spherical waves. The proposed algorithm enables the analytical and continuous pattern reconstruction, even under the severe sampling condition for deviated AUT. Numerical investigations are conducted to validate the proposed algorithm.

