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

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This study presents a novel iterative algorithm for phase reconstruction in reference-less multiprobe measurement systems. The method effectively reconstructs phase information even with partial knowledge of probe phase relationships, improving accuracy in complex scenarios.

Keywords:
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Area of Science:

  • Electromagnetics and Wave Propagation
  • Measurement Systems Engineering
  • Computational Physics

Background:

  • Phase reconstruction is challenging in systems lacking an accessible reference signal.
  • Multiprobe measurement systems often require accurate phase information for signal processing and analysis.

Purpose of the Study:

  • To develop a robust phase reconstruction algorithm for reference-less spherical multiprobe measurement systems.
  • To address the loss of relative probe phase information during system rotation.

Main Methods:

  • A non-convex iterative optimization algorithm utilizing an on-axis top probe.
  • Incorporation of partial knowledge of relative phase between probes using linear combinations of signals.
  • Phase substitution and modal filtering to ensure convergence and avoid local minima.

Main Results:

  • Successful phase reconstruction demonstrated in noise-free and noisy measurement scenarios.
  • The algorithm shows good accuracy, even with realistic noise models from low-cost receivers.
  • Numerical results on antenna measurements validate the proposed method's effectiveness.

Conclusions:

  • The proposed iterative algorithm offers a viable solution for phase reconstruction in reference-less multiprobe systems.
  • The method is effective for electrically small to medium-sized problems, despite numerical complexity.
  • Future work may focus on extending the algorithm's applicability to larger-scale problems.