论文标题
相位检索中数据空间维度的评估:在菲涅尔区域中结果
An evaluation of the data space dimension in phase retrieval: results in Fresnel zone
论文作者
论文摘要
在本文中,我们解决了计算相位检索问题中数据空间维度的问题。从相位检索的二次公式开始,分析分为两个步骤。首先,我们利用起重技术来获得数据的线性表示。稍后,我们通过分析代表数据的线性运算符的相关奇异值数量来评估数据空间的维度。该研究是指由2D标量几何形状由电流带组成的2D标量几何形状,该电流带的电流振幅在壁式范围内的二维扩展域上观察到了电辐射场的平方幅度。
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.