相位恢复中数据空间维数的评估：菲涅耳区的结果
An evaluation of the data space dimension in phase retrieval: results in Fresnel zone
摘要：
本文研究了相位恢复问题中数据空间维数的计算问题。从相位恢复的二次公式出发，分两步进行分析。首先，我们利用提升技术来获得数据的线性表示。之后，我们通过解析计算表示数据的线性算子的相关奇异值的数量来评估数据空间的维数。该研究是参考由电流条组成的二维标量几何进行的，其电辐射场的平方幅度在菲涅耳区的二维扩展域上观察。
英文摘要：
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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