Hyperparameter Free MEE-FP Based Localization

Hyperparameter Free MEE-FP Based Localization

R. Mitra, G. Kaddoum, G. Dahman and G. Poitau, “Hyperparameter Free MEE-FP Based Localization,” in IEEE Signal Processing Letters, vol. 28, pp. 1938-1942, 2021, doi: 10.1109/LSP.2021.3111596.

Abstract or Summary

In the context of outdoor localization over systems impaired by non-line of sight (NLoS), the minimum error entropy with fiducial points (MEE-FP) based methods have emerged as promising due to their excellent generalization and independence to statistics of NLoS. However, the performance of these approaches are well-known to depend on hyperparameters, such as, the spread parameter of the MEE-FP criterion. To enable MEE-FP based hyperparameter-free localization, we propose a modified Gauss-Newton based localization algorithm based on sampled kernel-widths. Next, analytical results are derived to demonstrate the asymptotic equivalence of the proposed kernel-width sampling based localization algorithm to its ideal fixed kernel width based counterpart. This equivalence is validated through computer simulations assuming typical non-Gaussian NLoS distributions, which motivates the hyperparameter-independence of the proposed localization algorithm and its generalization to different NLoS statistics.

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