scholarly journals Metric entropy in linear inverse scattering

2016 ◽  
Vol 5 (2) ◽  
pp. 46 ◽  
Author(s):  
M. A. Maisto ◽  
R. Solimene ◽  
R. Pierri
Keyword(s):  
Inverse Scattering ◽  
Entropy Measure ◽  
Metric Entropy ◽  
Multiple Views ◽  
Kolmogorov Entropy ◽  
Scattering Problems ◽  
Inverse Scattering Problems ◽  
Multiple Frequencies ◽  
The Impact

The role of multiple views and/or multiple frequencies on the achievable performance in linear inverse scattering problems is addressed. To this end, the impact of views and frequencies on the Kolmogorov entropy measure is studied. This way the metric information that can be conveyed back from data to the unknown can be estimated.For the sake of simplicity, the study deals with strip scatterers and the cases of discrete angles of incidence and/or frequencies. 

scholarly journals The Role of Diversity on Linear Scattering Operator: The Case of Strip Scatterers Observed under the Fresnel Approximation

Electronics ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 113 ◽  
Author(s):  
Maria Maisto ◽  
Fortuna Munno
Keyword(s):  
Inverse Scattering ◽  
Degrees Of Freedom ◽  
Fresnel Zone ◽  
Singular Values ◽  
Scattering Operator ◽  
Scattering Problems ◽  
Inverse Scattering Problems ◽  
Multiple Frequencies ◽  
The Impact

The aim of this paper is to investigate the role of multiple views and multiple frequencies in linear inverse scattering problems. The study was performed assuming the Fresnel-zone approximation on the scattering operator. Due to the crucial role played by singular values into analysing the linear inverse scattering problems, the impact of view and frequency diversities on singular values behaviour was established. In fact, the singular values were related to the most common metrics used to quantify the achievable performances in inverse scattering problems, such as the number of degrees of freedom (NDF), the information content and the resolution.

scholarly journals Comparing Two Approaches for Point-Like Scatterer Detection

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Angela Dell’Aversano ◽  
Giovanni Leone ◽  
Raffaele Solimene
Keyword(s):  
Compressed Sensing ◽  
Inverse Scattering ◽  
Time Reversal ◽  
Mutual Coupling ◽  
Good Option ◽  
Scattering Problems ◽  
Numerical Examples ◽  
Inverse Scattering Problems ◽  
Reconstruction Methods

Many inverse scattering problems concern the detection and localisation of point-like scatterers which are sparsely enclosed within a prescribed investigation domain. Therefore, it looks like a good option to tackle the problem by applying reconstruction methods that are properly tailored for such a type of scatterers or that naturally enforce sparsity in the reconstructions. Accordingly, in this paper we compare the time reversal-MUSIC and the compressed sensing. The study develops through numerical examples and focuses on the role of noise in data and mutual coupling between the scatterers.

A diagonalized improved subspace-based optimization method for solving 2-D inverse scattering problems

2017 ◽  
Vol 59 (8) ◽  
pp. 2089-2095 ◽  
Author(s):  
Yulang Liu ◽  
Zhiqin Zhao ◽  
Xiaozhang Zhu ◽  
Wei Yang ◽  
Zaiping Nie ◽  
...  
Keyword(s):  
Inverse Scattering ◽  
Optimization Method ◽  
Scattering Problems ◽  
Inverse Scattering Problems
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