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    An efficient sampling scheme in phaseless near-field techniques

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    In this paper, with reference to the framework of phaseless near-field antenna measurements, a new sampling scheme is introduced and assessed. More in detail, the article aims at finding an efficient sampling of the square amplitude of the near-field that, without a loss of information, allows reducing the number of sampling points with respect to the classical sampling strategy. The study refers to a 2D scalar geometry where the square amplitude of the near-field radiated by a strip source is observed on multiple scanning lines parallel to the source. From this analysis, it follows that the sampling points are non-uniformly arranged along the observation lines. In particular, on each scanning line, they are densest at the center and largest at the edges. Moreover, the sampling points collected on an observation line closest to the source are less spaced than those on an observation line farthest

    An evaluation of the data space dimension in phase retrieval: results in Fresnel zone

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    In this paper, we address the problem of computing the dimension of data space in phase retrieval problem. Starting from the quadratic formulation of the phase retrieval, the analysis is performed in two steps. First, we exploit the lifting technique to obtain a linear representation of the data. Later, we evaluate the dimension of data space by computing analytically the number of relevant singular values of the linear operator that represents the data. The study is done with reference to a 2D scalar geometry consisting of an electric current strip whose square amplitude of the electric radiated field is observed on a twodimensional extended domain in Fresnel zone
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