A generalized form of the InSAR phase unwrapping problem based on a compressed sensing technique

Abdallah, Wajih; Abdelfattah, Riadh

doi:10.1109/icip.2015.7351399

Cited by 2 publications

(1 citation statement)

References 16 publications

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“…However, the use of an amplitude/phase description faces the difficulty related to its

periodicity, and the associated spurious discontinuities found when combining a phase close to

, e.g.,

(

, very small), with another very close too, e.g.,

(

, very small), but that being higher than

reduces to

, originating the just referred spurious discontinuity:

. Even if this issue was addressed in many works that proposed the use of the so-called unwrapping, usual unwrapping algorithms only performs well when the data sampling is dense enough, but they fail in the sparse sampling case [ 25 , 26 , 27 ].…”

Section: Introductionmentioning

confidence: 99%

Parametric Electromagnetic Analysis of Radar-Based Advanced Driver Assistant Systems

Vermiglio

Champaney

Sancarlos

et al. 2020

Sensors

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Efficient and optimal design of radar-based Advanced Driver Assistant Systems (ADAS) needs the evaluation of many different electromagnetic solutions for evaluating the impact of the radome on the electromagnetic wave propagation. Because of the very high frequency at which these devices operate, with the associated extremely small wavelength, very fine meshes are needed to accurately discretize the electromagnetic equations. Thus, the computational cost of each numerical solution for a given choice of the design or operation parameters, is high (CPU time consuming and needing significant computational resources) compromising the efficiency of standard optimization algorithms. In order to alleviate the just referred difficulties the present paper proposes an approach based on the use of reduced order modeling, in particular the construction of a parametric solution by employing a non-intrusive formulation of the Proper Generalized Decomposition, combined with a powerful phase-angle unwrapping strategy for accurately addressing the electric and magnetic fields interpolation, contributing to improve the design, the calibration and the operational use of those systems.

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