The Simplified REV Method Combined with Hadamard Group Division for Phased Array Calibration

Tao XIE  Jiang ZHU  Jinjun LUO  

IEICE TRANSACTIONS on Communications   Vol.E101-B   No.3   pp.847-855
Publication Date: 2018/03/01
Publicized: 2017/08/28
Online ISSN: 1745-1345
DOI: 10.1587/transcom.2017EBP3155
Type of Manuscript: PAPER
Category: Antennas and Propagation
simplified REV,  Hadamard group division,  phased array calibration,  

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The rotating element electric field vector (REV) method is a classical measurement technique for phased array calibration. Compared with other calibration methods, it requires only power measurements. Thus, the REV method is more reliable for operating phased array calibration systems. However, since the phase of each element must be rotated from 0 to 2π, the conventional REV method requires a large number of measurements. Moreover, the power of composite electric field vector doesn't vary significantly because only a single element's phase is rotated. Thus, it can be easily degraded by the receiver noise. A simplified REV method combined with Hadamard group division is proposed in this paper. In the proposed method, only power measurements are required. All the array elements are divided into different groups according to the group matrix derived from the normalized Hadamard matrix. The phases of all the elements in the same group are rotated at the same time, and the composite electric field vector of this group is obtained by the simplified REV method. Hence, the relative electric fields of all elements can be obtained by a matrix equation. Compared with the conventional REV method, the proposed method can not only reduce the number of measurements but also improve the measurement accuracy under the particular range of signal to noise ratio(SNR) at the receiver, especially under low and moderate SNRs.