On Data Increasing in Phase Retrieval via Quadratic Inversion: Flattening Manifold and Local Minima

Pierri, Rocco; Moretta, Raffaele

doi:10.1109/tap.2020.2998923

Cited by 21 publications

(11 citation statements)

References 42 publications

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“…However, in those cases, phase retrieval was still solved in a 2-D domain after generating virtual measurement surfaces using the separability of the radiated fields. With the technique introduced in this communication, the number of unknowns involved in the phaseless problem is drastically reduced, which minimizes the chances of falling into local minima or false solutions [28].…”

Section: Table I Measurement Times and Eesmentioning

confidence: 99%

Single-Cut Phaseless Near-Field Measurements for Fast Antenna Testing

Varela

Iragüen

Castañer

2022

IEEE Trans. Antennas Propagat.

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Single-cut techniques allow for fast antenna characterization by measuring and transforming to far-field individual pattern cuts instead of the full sphere. The cut fields are expanded in a reduced set of cylindrical coefficients, which can be used to accurately compute the far-field in the main pattern cuts for antennas with separable aperture distributions. This communication introduces a fast single-cut nearfield to far-field transformation method using amplitude-only data. The technique is based on the measurement of the near-field magnitude in two concentric cuts and starts an iterative propagation process to retrieve their phases. This technique becomes a fast tool for antenna characterization when one is interested in a few cardinal plane cuts of the antenna and only magnitude measurements are available. The proposed single-cut phaseless technique is tested using simulated and measured data, and it shows its potential for fast and more reliable amplitude-only measurements.

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Section: Table I Measurement Times and Eesmentioning

confidence: 99%

Single-Cut Phaseless Near-Field Measurements for Fast Antenna Testing

Varela

Iragüen

Castañer

2022

IEEE Trans. Antennas Propagat.

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“…There are only very few approaches found in literature which tackle the phase retrieval problem arising in NFFFTs seriously and in a potentially promising manner [20], [21]. Often, additional observations are introduced to augment the initial problem.…”

Section: Nonconvex Phaseless Field Transformationsmentioning

confidence: 99%

Electromagnetic Field Transformations of Near-Field Data Without Global Reference for Magnitude and Phase

Paulus¹,

Kornprobst²,

Eibert³

2022

Preprint

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<p>Some innovative near-field antenna measurement setups, e.g., UAV-based, have limited capabilites for providing a phase and magnitude reference to the receiver. Phaseless antenna measurements have always been an important topic for such scenarios, but they often suffer from the unreliability of nonconvex phase retrieval algorithms, necessity of extremely accurate magnitude measurements and strong oversampling requirements. A similar problem arises if the measured magnitudes are impaired, i.e., if the global magnitude reference is unreliable for instance due to drift. We present a linearized method to reconstruct the phases for measurements without a global phase reference as well as an inherently linear method to reconstruct the magnitudes for measurements without a global magnitude reference. The underlying assumption is that a drift in either the phase or the magnitude occurs during the field measurement. With the reconstructed, thus, fully consistent observation vector, standard electromagnetic field transformations are possible and yield accurate and reliable results.</p>

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“…At the same time, from the studies on the absence of trap points [28][29][30][31], it comes out that the objective functional is free from traps if the value of M is larger than a prescribed value depending on the mathematical model (the relationship between the phaseless data and the unknown function), the kind of unknown function, and the dimension of unknown space.…”

Section: Introductionmentioning

confidence: 99%

The Dimension of Phaseless Near-Field Data by Asymptotic Investigation of the Lifting Operator

2021

Self Cite

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In this paper, the question of evaluating the dimension of data space in an inverse source problem from near-field phaseless data is addressed. The study is developed for a 2D scalar geometry made up by a magnetic current strip whose square magnitude of the radiated field is observed in near non-reactive zone on multiple lines parallel to the source. With the aim of estimating the dimension of data space, at first, the lifting technique is exploited to recast the quadratic model as a linear one. After, the singular values decomposition of such linear operator is introduced. Finally, the dimension of data space is evaluated by quantifying the number of “relevant” singular values. In the last part of the article, some numerical simulations that corroborate the analytical estimation of data space dimension are shown.

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On Data Increasing in Phase Retrieval via Quadratic Inversion: Flattening Manifold and Local Minima

Cited by 21 publications

References 42 publications

Single-Cut Phaseless Near-Field Measurements for Fast Antenna Testing

Single-Cut Phaseless Near-Field Measurements for Fast Antenna Testing

Electromagnetic Field Transformations of Near-Field Data Without Global Reference for Magnitude and Phase

The Dimension of Phaseless Near-Field Data by Asymptotic Investigation of the Lifting Operator

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