An Interval-Based Target Tracking Approach for Range-Only Multistatic Radar

Soares, Gustavo Luís; Arnold-Bos, Andreas; Jaulin, Luc; Maia, Carlos Andrey; Vasconcelos, J.A.

doi:10.1109/tmag.2007.916286

Cited by 22 publications

(9 citation statements)

References 10 publications

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“…Indeed, IA has been recently considered as a powerful tool in several applicative areas of engineering electromagnetics (e.g. the robust design of magnetic devices [17,18], the radar tracking [19], and the tolerance analysis of reflector antennas [20]), thanks to its capability to naturally deal with uncertainties and tolerance errors as well as to define closed-form robust and reliable bounds by means of the arithmetic of intervals. As for robust beamforming and assuming of a-priori fixed tolerances, interval power patterns lying within mask constraints have been yielded by optimising the values of the nominal array amplitudes with a biologically inspired global optimisation algorithm in [15] and, for pencil beam patterns, through a deterministic convex minimisation procedure [16].…”

Section: Introductionmentioning

confidence: 99%

Optimisation of excitation tolerances for robust beamforming in linear arrays

Anselmi

Rocca

Salucci

et al. 2016

IET Microwaves, Antennas & Propagation

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A method for robust amplitude beamforming in linear antenna arrays is presented. The admissible tolerances on the array excitations, described as real‐valued intervals, are maximised regardless their nominal values, while guaranteeing that the bounds of the radiated power patterns fit a‐priori defined mask constraints. A set of representative numerical results, concerned with different mask constraints as well as comparisons with state‐of‐the‐art approaches, is reported and discussed to assess the effectiveness of the proposed approach.

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Section: Introductionmentioning

confidence: 99%

Optimisation of excitation tolerances for robust beamforming in linear arrays

Anselmi

Rocca

Salucci

et al. 2016

IET Microwaves, Antennas & Propagation

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“…In electromagnetics, despite the wide number of problems where tolerances and errors can cause severe degradations of the performances, IA has been applied, to the best of authors' knowledge, in only few cases (e.g. [51][52][53][54][55]).…”

Section: Introductionmentioning

confidence: 99%

Robust mask‐constrained linear array synthesis through an interval‐based particle SWARM optimisation

Manica

Anselmi

Rocca

et al. 2013

IET Microwaves, Antennas & Propagation

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An innovative strategy for the robust design of linear antenna arrays is presented. Being the array elements characterised by tolerance errors, the synthesis is aimed at determining the intervals of values fitting the user-defined mask constraints on the radiated power pattern. With reference to the upper and lower bounds of the power pattern analytically determined for given tolerances through interval analysis, the nominal excitations of the array elements are then optimised by means of a global stochastic optimiser suitably customised to deal with interval numbers. A set of numerical examples is reported to show the behaviour of the proposed method as well as to assess its potentials in dealing with the robust synthesis of pencil and shaped beams.

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“…Originally introduced to bound rounding errors in numeric computations [56,57], the use of interval analysis has been then extended to the solution of linear and nonlinear equations [58] and functional optimization [67]. Nowadays, the use of interval analysis is widespread, but its applications to electromagnetics are still limited to few applications mainly concerned with the design of robust devices [59,60] and reliable systems [61]. In this work, the reliability of the IA in the global optimum search as well as the intrinsic convergence conditions are exploited to define an innovative optimization framework where the inversion problem is firstly reformulated within the intervals arithmetic to successively apply an IA-based optimization for identifying the global optimum of the cost function at hand.…”

Section: Introductionmentioning

confidence: 99%

Microwave Imaging Within the Interval Analysis Framework

Rocca¹,

Carlin²,

Manica³

et al. 2013

PIER

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Abstract-An approach based on the use of the arithmetic of intervals and Interval Analysis for the solution of inverse scattering problems is presented and assessed. By exploiting the property of the Interval Analysis to find the global minimum of a functional in a n-dimensional space, the proposed approach adopts a branch and bound process to discard the regions of the solutions space not containing the global solution, while keeping those where a feasible solution is expected until a suitable converge criterion is reached. A representative set of results concerned with the reconstruction of circular dielectric objects within the first-order Born approximation are reported and discussed to show potentialities and current limitations of the proposed approach.

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An Interval-Based Target Tracking Approach for Range-Only Multistatic Radar

Cited by 22 publications

References 10 publications

Optimisation of excitation tolerances for robust beamforming in linear arrays

Optimisation of excitation tolerances for robust beamforming in linear arrays

Robust mask‐constrained linear array synthesis through an interval‐based particle SWARM optimisation

Microwave Imaging Within the Interval Analysis Framework

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