Abstract
Abstract. This work introduces two methods which extend the non-convex minimization problem arising in phaseless (NF) far-field (FF) transformations. With the new extensions, knowledge about phase differences between measurement points can be incorporated into the minimization problem. The additional information helps to avoid stationary points of the minimization cost functional which would otherwise compromise the result of the near-field far-field transformation. The methods are incorporated into the Fast Irregular Antenna Field Transformation Algorithm (FIAFTA), analyzed and compared. Their effectiveness is shown by transforming synthetic near-field data sets with partial knowledge of phase differences to the far-field.
Highlights
With the rapid development in communication technology, the demands for antennas and antenna measurement technologies increase
If straightforward measurements in the antenna under test (AUT) FF are not feasible, for example when the FF distance exceeds the measurement chamber dimensions, the measurements can be obtained in the near-field (NF) of the AUT and afterwards the AUT FF pattern can be determined by NF to FF transformation (NFFFT)
The cost functional for the non linear minimization is formally extended by additional terms which penalize the difference between the virtual measurements and the correspondent goals
Summary
With the rapid development in communication technology, the demands for antennas and antenna measurement technologies increase. One has often tried to retrieve the phase via non-convex minimization (Netrapalli et al, 2013; Candes et al, 2015; Zhang and Liang, 2016) or by a convex relaxation of the non-convex formulation (Waldspurger et al, 2015; Yurtsever et al, 2015; Candes et al, 2013; Bauschke et al, 2002) Because of their high numerical complexity, convex relaxations are suitable for small and medium sized problems only. 3, two extensions for the cost functional are presented which introduce phase knowledge to the minimization problem These implementations are formally analyzed in Sect.
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