Application of Inverse Source Reconstruction to Conformal Antennas Synthesis

Leone, Giovanni; Maisto, Maria Antonia; Pierri, Rocco

doi:10.1109/tap.2018.2794397

Cited by 46 publications

(41 citation statements)

References 11 publications

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“…The SVD of Eq. 3for a circumference source is known analytically and reported in [12]. In particular the SVs are proportional to the Bessel functions J l (βa) of first kind and order l with argument βa.…”

Section: Circumference Sourcementioning

confidence: 99%

“…In [12] it is shown that, since the highest values of the Bessel functions are achieved when the order l approaches βa, it can be expected that the first SVs (the more relevant in value) correspond to Bessel function of high order l. Therefore, the application of the TSVD procedure cuts down the lower order ones according to the truncation threshold. Now, since the singular functions {v n } are Fourier harmonics, we can expect that the lower order Fourier harmonics of the source current function may be filtered out by the regularizing imaging algorithm, thus giving rise to a sort of 'bandpass' behavior of the reconstruction procedure.…”

Section: Circumference Sourcementioning

confidence: 99%

“…Inspired by [8][9][10][11][12][13], the aim of this paper is to investigate the role of some 2D scalar source geometries in the SVD of the relevant far zone radiation operator. Since it is not always known in closed form, sometimes, information about the SVD can be gained by considering different representations of the pertinent singular functions, such as the Fourier series.…”

Section: Introductionmentioning

confidence: 99%

“…Since it is not always known in closed form, sometimes, information about the SVD can be gained by considering different representations of the pertinent singular functions, such as the Fourier series. In [12] a similar analysis is performed for arc sources observed over a circumference. Here a more general situation where both observation domain and the source are circumference arcs is considered.…”

Section: Introductionmentioning

confidence: 99%

“…First, in Section 2, some results obtained in [12] about the circumference source are recalled. Next, we deal with a geometry where both the observation domain and the source are circumference arcs.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Inverse Source of Circumference Geometries: SVD Investigation Based on Fourier Analysis

Leone¹,

Maisto²,

Pierri³

2018

PIER M

Self Cite

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The role of the source geometry is investigated within the realm of inverse source problems. In order to examine the properties of the far zone radiation operator of some 2D curved sources its Singular Value Decomposition (SVD) is studied, either analytically, when possible, or numerically. This allows to evaluate the number of independent pieces of information, i.e., the number of degrees of freedom (NDF), of the source and to point out the set of far zone fields corresponding to stable solutions of the inverse problem. In particular, upper bounds for the NDF are obtained by exploiting Fourier series representations of the singular functions. Both curved (i.e., circumference and arc of circumference) and rectilinear geometries are considered, pointing out the role of limited angular observation domains. Moreover, in order to obtain some clues about the resolution achievable in the inverse source problem, a point-spread function analysis is performed. The latter reveals a spatially variant resolution for limited angular observation domains. The practical relevance of these results is highlighted with numerical examples of array diagnostics.

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Section: Circumference Sourcementioning

confidence: 99%

Section: Circumference Sourcementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Inverse Source of Circumference Geometries: SVD Investigation Based on Fourier Analysis

Leone¹,

Maisto²,

Pierri³

2018

PIER M

Self Cite

View full text Add to dashboard Cite

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A Non-Hilbertian Inversion Technique for the Diagnosis of Faulty Elements in Antenna Arrays

Schenone

Fedeli

Estatico

et al. 2022

Lecture Notes in Networks and Systems

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Nowadays, antenna arrays are important tools adopted in a great number of applications including radar, mobile and satellite communication systems, and electromagnetic imaging. Moreover, in these applications, arrays with a high number of elements are ever more requested, which results in a growing possibility of damages in the array. The identification of defective components in array of antennas is really significant due to their applicative use: indeed, faulty detected elements can be fixed, thus avoiding to replace the whole antenna. In this work, a diagnostic technique for planar antenna arrays is presented. This approach enables recovering the eventually defective elements of the antenna under test using far-field data. To this end, an inversion approach established outside the standard context of Hilbertian spaces is used to address an inverse-source problem. A numerical validation concerning simple array antennas has been carried out to study the performances of the approach versus some antenna parameters, e.g., the size of the array.

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Mathematical Model for System Planning on Campus: A Case Study in Harbin Institute of Technology in China

Guo

2016

Mediterranean Green Buildings &Amp; Renewable Energy

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The reconstruction of multipolar acoustic or electromagnetic sources from their farfield radiation patterns plays a crucial role in numerous practical applications. Most of the existing techniques for source reconstruction require dense multi-frequency data at the Nyquist sampling rate. Accessibility of only sparse data at a sub-sampled grid contributes to the null space of the inverse source-to-data operator, which causes significant imaging artifacts. For this purpose, additional knowledge about the source or regularization is required. In this article, we propose a novel two-stage strategy for multipolar source reconstruction from the sub-sampled sparse data that takes advantage of the sparsity of the sources in the physical domain. The data at the Nyquist sampling rate is recovered from sub-sampled data and then a conventional inversion algorithm is used to reconstruct sources. The data recovery problem is linked to a spectrum recovery problem for the signal with the finite rate of innovations (FIR) that is solved using an annihilating filter-based structured Hankel matrix completion approach (ALOHA). For an accurate reconstruction of multipolar sources, we employ a Fourier inversion algorithm. The suitability of the suggested approach for both noisy and noise-free measurements is supported by numerical evidence.

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Application of Inverse Source Reconstruction to Conformal Antennas Synthesis

Cited by 46 publications

References 11 publications

Inverse Source of Circumference Geometries: SVD Investigation Based on Fourier Analysis

Inverse Source of Circumference Geometries: SVD Investigation Based on Fourier Analysis

A Non-Hilbertian Inversion Technique for the Diagnosis of Faulty Elements in Antenna Arrays

Mathematical Model for System Planning on Campus: A Case Study in Harbin Institute of Technology in China

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