Pattern Reconstruction for Deviated AUT in Spherical Measurement by Using Spherical Waves

Yang MIAO; Jun-ichi TAKADA

doi:10.1587/transcom.E97.B.105

Pattern Reconstruction for Deviated AUT in Spherical Measurement by Using Spherical Waves

Yang MIAO, Jun-ichi TAKADA

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To characterize an antenna, the acquisition of its three-dimensional 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 band-limited 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 set-up. 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.

Publication: IEICE TRANSACTIONS on Communications Vol.E97-B No.1 pp.105-113

Publication Date: 2014/01/01

Publicized

Online ISSN: 1745-1345

DOI: 10.1587/transcom.E97.B.105

Type of Manuscript: PAPER

Category: Antennas and Propagation

Authors

Yang MIAO
Tokyo Institute of Technology
Jun-ichi TAKADA
Tokyo Institute of Technology

Keyword

antenna pattern reconstruction, spherical wave expansion, deviated AUT, translational phase shift, rotation and translation of spherical waves

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Yang MIAO, Jun-ichi TAKADA, "Pattern Reconstruction for Deviated AUT in Spherical Measurement by Using Spherical Waves" in IEICE TRANSACTIONS on Communications, vol. E97-B, no. 1, pp. 105-113, January 2014, doi: 10.1587/transcom.E97.B.105.
Abstract: To characterize an antenna, the acquisition of its three-dimensional 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 band-limited 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 set-up. 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.
URL: https://globals.ieice.org/en_transactions/communications/10.1587/transcom.E97.B.105/_p

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@ARTICLE{e97-b_1_105,
author={Yang MIAO, Jun-ichi TAKADA, },
journal={IEICE TRANSACTIONS on Communications},
title={Pattern Reconstruction for Deviated AUT in Spherical Measurement by Using Spherical Waves},
year={2014},
volume={E97-B},
number={1},
pages={105-113},
abstract={To characterize an antenna, the acquisition of its three-dimensional 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 band-limited 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 set-up. 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.},
keywords={},
doi={10.1587/transcom.E97.B.105},
ISSN={1745-1345},
month={January},}

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TY - JOUR
TI - Pattern Reconstruction for Deviated AUT in Spherical Measurement by Using Spherical Waves
T2 - IEICE TRANSACTIONS on Communications
SP - 105
EP - 113
AU - Yang MIAO
AU - Jun-ichi TAKADA
PY - 2014
DO - 10.1587/transcom.E97.B.105
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E97-B
IS - 1
JA - IEICE TRANSACTIONS on Communications
Y1 - January 2014
AB - To characterize an antenna, the acquisition of its three-dimensional 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 band-limited 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 set-up. 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.
ER -