2022/02/06 by Rocco Pierri, Pierri, Rocco, Raffaele Moretta +1
Engineering · Materials Science · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Electron and X-Ray Spectroscopy Techniques #FOS: Electrical engineering #Non-Destructive Testing Techniques #Signal Processing (eess.SP) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2202.02809
openalex publication_date 2022/02/06 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
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.