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Consistent Volumetric Search for Accurate Passive Coherent Location
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  • Daniel P. Nicolalde-Rodriguez,
  • Wallace A. Martins,
  • José Antonio Apolinário Jr.,
  • Marcello L. R. de Campos
Daniel P. Nicolalde-Rodriguez
Universidade Federal do Rio de Janeiro

Corresponding Author:[email protected]

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Wallace A. Martins
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José Antonio Apolinário Jr.
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Marcello L. R. de Campos
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This paper addresses multiple-transmitter/receiver passive coherent location (PCL) system observing a single target with possible bistatic range mismeasurements (outliers) caused by non-line-of-sight effects. It proposes a unified mathematical framework for target location algorithms including spherical interpolation (SI), spherical intersection (SX), and nonlinearly constrained least squares (NLCLS),  generalizing them for scenarios with multiple transmitters and receivers.  While algorithms SI and SX employ closed-form expressions without considering all nonlinear relationships among the optimization variables, the NLCLS takes these nonlinearities into account via constraints; its simplified and faster version,  with promising results and reduced computational burden, is also proposed. The Cramer-Rao lower bound is derived for this application. To handle outliers in a 3D PCL system, the paper proposes a volumetric search method that divides the search region into cuboids to select consistent bistatic range measurements, enabling accurate target location estimation.  Additionally, the centroid of the selected cuboid provides an alternative location estimate. Another consistent approach to measurement selection is introduced for benchmarking, involving iterative removal of outliers based on comparisons of cost functions. Numerical experiments demonstrate the robustness of the proposed cuboid-based methods, particularly in scenarios with increased bistatic range mismeasurements.
31 Jan 2024Submitted to TechRxiv
06 Feb 2024Published in TechRxiv