Fast iterative solution to exact equations for the two-dimensional phase-retrieval problem

1985 ◽  
Vol 2 (1) ◽  
pp. 46 ◽  
Author(s):  
K. Chalasinska-Macukow ◽  
H. H. Arsenault
Keyword(s):  
Phase Retrieval ◽  
Iterative Solution ◽  
Two Dimensional ◽  
Retrieval Problem

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

2021 ◽  
Author(s):  
Rocco Pierri ◽  
Raffaele Moretta
Keyword(s):  
Linear Operator ◽  
Phase Retrieval ◽  
Space Dimension ◽  
Fresnel Zone ◽  
Singular Values ◽  
Linear Representation ◽  
Two Dimensional ◽  
Data Space ◽  
Lifting Technique ◽  
Retrieval Problem

<div>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 two-dimensional extended domain in Fresnel zone.</div>

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

2021 ◽  
Author(s):  
Rocco Pierri ◽  
Raffaele Moretta
Keyword(s):  
Linear Operator ◽  
Phase Retrieval ◽  
Space Dimension ◽  
Fresnel Zone ◽  
Singular Values ◽  
Linear Representation ◽  
Two Dimensional ◽  
Data Space ◽  
Lifting Technique ◽  
Retrieval Problem

<div>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 two-dimensional extended domain in Fresnel zone.</div>

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

2021 ◽  
Author(s):  
Rocco Pierri ◽  
Raffaele Moretta
Keyword(s):  
Linear Operator ◽  
Phase Retrieval ◽  
Space Dimension ◽  
Fresnel Zone ◽  
Singular Values ◽  
Linear Representation ◽  
Two Dimensional ◽  
Data Space ◽  
Lifting Technique ◽  
Retrieval Problem

<div>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 two-dimensional extended domain in Fresnel zone.</div>

scholarly journals THE TWO-DIMENSIONAL PHASE RETRIEVAL PROBLEM IN NON-UNITARY TRANSFORM SYSTEM

1989 ◽  
Vol 38 (11) ◽  
pp. 1809
Author(s):  
WANG LI ◽  
DONG BI-ZHEN ◽  
YANG GUO-ZHEN
Keyword(s):  
Phase Retrieval ◽  
Two Dimensional ◽  
Unitary Transform ◽  
Retrieval Problem

Solution of the two-dimensional phase-retrieval problem

1985 ◽  
Vol 10 (6) ◽  
pp. 250 ◽  
Author(s):  
H. V. Deighton ◽  
M. S. Scivier ◽  
M. A. Fiddy
Keyword(s):  
Phase Retrieval ◽  
Two Dimensional ◽  
Retrieval Problem

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

2021 ◽  
Author(s):  
Rocco Pierri ◽  
Raffaele Moretta
Keyword(s):  
Linear Operator ◽  
Phase Retrieval ◽  
Space Dimension ◽  
Fresnel Zone ◽  
Singular Values ◽  
Linear Representation ◽  
Two Dimensional ◽  
Data Space ◽  
Lifting Technique ◽  
Retrieval Problem

<div>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 two-dimensional extended domain in Fresnel zone.</div>

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

2021 ◽  
Author(s):  
Rocco Pierri ◽  
Raffaele Moretta
Keyword(s):  
Linear Operator ◽  
Phase Retrieval ◽  
Space Dimension ◽  
Fresnel Zone ◽  
Singular Values ◽  
Linear Representation ◽  
Two Dimensional ◽  
Data Space ◽  
Lifting Technique ◽  
Retrieval Problem

<div>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 two-dimensional extended domain in Fresnel zone.</div>

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