Regression Technique for Electromagnetic Field Sampling and Reconstruction - Université de Rennes Accéder directement au contenu
Communication Dans Un Congrès Année : 2019

Regression Technique for Electromagnetic Field Sampling and Reconstruction

S. Rondineau
  • Fonction : Auteur
F. Batista Ribeiro Costa
  • Fonction : Auteur
L. Le Coq
E. Goncalves Sousa
  • Fonction : Auteur
M.D. Migliore
  • Fonction : Auteur

Résumé

The presented work deals with an alternative technique for sampling and reconstructing the electromagnetic field radiated by any kind of antenna or equivalent currents, and measured in its far field region. Based on the electrical size of the radiating object, it truncates the vector spherical modal field expansion series. Then, each component of the field is projected on the classical Fourier space for the polar dependency. This is carried out by minimizing the variance of the residual noise, or, in other words, applying the Tikhonov-Phillips regularization. This results is not only a numerically well-posed problem, but also the statistical independence of the resulting coefficients as their co-variance matrix is diagonal. Afterwards, the azimuth dependency is projected on the real valued Gegenbauer, a.k.a. ultra-spherical, polynomial family, once again following the Tikhonov-Phillips regularization scheme. It not only results in a numerically well-posed problem, but also the statistical independence of the obtained spherical modal coefficients. Moreover this double regression technique leads to the smallest two-dimensional Cartesian grid of angular sampling positions, a very useful result for the far field antenna characterization industry where measurement time has to be reduced to its minimum. Additionally, both optimum estimators and stable regularizer are extracted. Then, a statistical analysis of the residual error is performed by extracting and analyzing the noise properties and creating a statistical filter that rejects any mode that is not statistically significant through the definition of a modal signal-to-noise ratio. This result turns out to be very useful when this technique is applied in a compressive-sensing-like radiated far field antenna analysis. This technique is then applied to several different antenna measurements, as shown on fig. 1, where can be noticed a very good matching between in the far E θ and E φ field 2D map in amplitude comparison of both the measured electric field and the reconstructed one for a flat metallic Luneburg lens antenna designed at 12 GHz in the frame of MERLIN, a joint laboratory of Thalès Alenia Space and IETR. Details about this radiating structure are available in [1]. Amplitude scale [dB] :
ICEAA_APWC_2019_Artigo_completo_831_Rondineau.pdf (836.56 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-02997663 , version 1 (18-11-2020)

Identifiants

Citer

S. Rondineau, Benjamin Fuchs, F. Batista Ribeiro Costa, L. Le Coq, E. Goncalves Sousa, et al.. Regression Technique for Electromagnetic Field Sampling and Reconstruction. 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), Sep 2019, Granada, Spain. pp.1349-1349, ⟨10.1109/ICEAA.2019.8879005⟩. ⟨hal-02997663⟩
21 Consultations
39 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More