Relative Phase Reconstruction Based on Multiprobe Solutions and Post-Processing Techniques

Sanchez, R. Tena; Castañer, Manuel Sierra; Foged, L. J.

doi:10.23919/eucap48036.2020.9135867

Cited by 7 publications

(7 citation statements)

References 4 publications

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“…The lack of horizontally directed phase differences for either polarization makes the approach far more sensitive to noise and other issues, e.g., the additional null space, can be considered secondary. This casts doubts at the general applicability of multi-probe solutions for phaseless NF measurements reported in literature, whose array elements are mostly placed in one dimension only [30], [32]- [34].…”

Section: Considerations For Truncated Measurement Surfacesmentioning

confidence: 98%

“…While satisfactory results have been reported for linear measurements based on hypothetical random processes, i.e., where the measurement matrix stems from a normal distribution [20], existing approaches return highly sub-optimal solutions for realistic data including that of electromagnetic field measurements. The antenna measurement community has tried to improve the quality of the phaseless measurement data, and, thus, the suitability for phase reconstruction, by employing multiple measurement surfaces [21]- [28], by utilizing specialized probe antennas [29]- [34], by exploiting multi-frequency data [35], [36], and by considering information about spatial derivatives [37]. While each of the attempts may yield improved results in the reported cases, there is no doubt about one fundamental flaw inherent to all existing methods.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Reliable Linearized Phase Retrieval for Near-Field Antenna Measurements with Truncated Measurement Surfaces

Paulus,

Knapp,

Kornprobst

et al. 2021

Preprint

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Most methods tackling the phase retrieval problem of magnitude-only antenna measurements suffer from unrealistic sampling requirements, from unfeasible computational complexities, and, most severely, from the lacking reliability of nonlinear and nonconvex formulations. As an alternative, we propose a partially coherent (PC) multi-probe measurement technique and an associated linear reconstruction method which mitigate all these issues. Hence, reliable and accurate phase retrieval can be achieved in near-field far-field transformations (NFFFTs). In particular, we resolve the issues related to open measurement surfaces (as they may emerge in drone-based measurement setups) and we highlight the importance of considering the measurement setup and the phaseless NFFFT simultaneously. Specifically, the influence of special multi-probe arrangements on the reconstruction quality of PC solvers is shown.Index Terms-phaseless/magnitude-only near-field antenna measurements, multi-probe antennas, antenna under test (AUT), partial coherence, near-field far-field transformation, planar & cylindrical measurement setups.

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Section: Considerations For Truncated Measurement Surfacesmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Reliable Linearized Phase Retrieval for Near-Field Antenna Measurements with Truncated Measurement Surfaces

Paulus,

Knapp,

Kornprobst

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In this particular case, the error introduced by the reference channel when the signal to noise ratio is compromised is not analyzed. This error was already studied in [21]. Nevertheless, it was demonstrated that this error is not critical since the error is only concentrated around one azimuth cut where the reference signal to noise ratio is low.…”

mentioning

confidence: 89%

“…A simplified description of the situation can be seen in Figure 2 , where for the sake of simplicity, only three subsets are considered. According to [ 21 ], it is possible to retrieve the relative phase between points that belong to the subset where the top probe is in the center of the arch, first subset from now on. The method employed to retrieve the relative phase between points is based on Ludwig’s third definition [ 22 ] of polarization for the top probe.…”

Section: Phase Reconstruction Algorithmmentioning

confidence: 99%

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Reconstruction of Relative Phase of Self-Transmitting Devices by Using Multiprobe Solutions and Non-Convex Optimization

Sanchez

Varela

Foged

et al. 2021

Sensors

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Phase reconstruction is in general a non-trivial problem when it comes to devices where the reference is not accessible. A non-convex iterative optimization algorithm is proposed in this paper in order to reconstruct the phase in reference-less spherical multiprobe measurement systems based on a rotating arch of probes. The algorithm is based on the reconstruction of the phases of self-transmitting devices in multiprobe systems by taking advantage of the on-axis top probe of the arch. One of the limitations of the top probe solution is that when rotating the measurement system arch, the relative phase between probes is lost. This paper proposes a solution to this problem by developing an optimization iterative algorithm that uses partial knowledge of relative phase between probes. The iterative algorithm is based on linear combinations of signals when the relative phase is known. Phase substitution and modal filtering are implemented in order to avoid local minima and make the algorithm converge. Several noise-free examples are presented and the results of the iterative algorithm analyzed. The number of linear combinations used is far below the square of the degrees of freedom of the non-linear problem, which is compensated by a proper initial guess. With respect to noisy measurements, the top probe method will introduce uncertainties for different azimuth and elevation positions of the arch. This is modelled by considering the real noise model of a low-cost receiver and the results demonstrate the good accuracy of the method. Numerical results on antenna measurements are also presented. Due to the numerical complexity of the algorithm, it is limited to electrically small- or medium-size problems.

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Reliable Linearized Phase Retrieval for Near-Field Antenna Measurements With Truncated Measurement Surfaces

Paulus

Knapp

Kornprobst

et al. 2022

IEEE Trans. Antennas Propagat.

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Relative Phase Reconstruction Based on Multiprobe Solutions and Post-Processing Techniques

Cited by 7 publications

References 4 publications

Reliable Linearized Phase Retrieval for Near-Field Antenna Measurements with Truncated Measurement Surfaces

Reliable Linearized Phase Retrieval for Near-Field Antenna Measurements with Truncated Measurement Surfaces

Reconstruction of Relative Phase of Self-Transmitting Devices by Using Multiprobe Solutions and Non-Convex Optimization

Reliable Linearized Phase Retrieval for Near-Field Antenna Measurements With Truncated Measurement Surfaces

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