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Exponential Operator for Bearing Estimation

Youssef Khmou 1 Saïd Safi 1 Miloud Frikel 2, 3
1 USMS - Université Sultan Moulay Slimane
2 Equipe Automatique - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
3 LAC - Laboratoire d'automatique de Caen
Abstract : In this paper, we present an original spectral technique for estimating the Direction of Arrival (DoA) of narrowband sources impinging on an array of sensors. In this approach, we use the exponential of inter spectral matrix of received data with Gaussian function to annihilate the eigenvalues corresponding to the signal subspace in order to obtain an approximation of the projector into the noise subspace, this mechanism requires the knowledge of the minimum eigenvalue which we compute using the power method. We elaborate this new concept with some tools of quantum formalism and we confirm the accuracy of its theoretical basis by Monte Carlo simulation results comparatively to the standard high resolution techniques.
Keywords : subspace DoA spectral matrix xponential Operator Gaussian angular spectrum localization
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Journal articles
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https://hal-normandie-univ.archives-ouvertes.fr/hal-01821198
Contributor : Miloud Frikel <>
Submitted on : Friday, June 22, 2018 - 12:25:42 PM
Last modification on : Monday, November 23, 2020 - 12:28:01 PM

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Youssef Khmou, Saïd Safi, Miloud Frikel. Exponential Operator for Bearing Estimation. International Journal of Advanced Science and Technology, Science and Engineering Research Support Societ, 2015, 74, pp.1 - 10. ⟨10.14257/ijast.2015.74.01⟩. ⟨hal-01821198⟩

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