1. Exponential Operator for Bearing Estimation
- Author
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Said Safi, Miloud Frikel, Youssef Khmou, Université Sultan Moulay Slimane (USMS ), Equipe Automatique - Laboratoire GREYC - UMR6072, Groupe de Recherche en Informatique, Image et Instrumentation de Caen (GREYC), Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Ingénieurs de Caen (ENSICAEN), Normandie Université (NU)-Normandie Université (NU)-Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Ingénieurs de Caen (ENSICAEN), Normandie Université (NU), Laboratoire d'automatique de Caen (LAC), Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Normandie Université (NU)-École Nationale Supérieure d'Ingénieurs de Caen (ENSICAEN), Department of Mathematics and Informatics - Beni Mellal -Maroc, Department of Mathematics and Informatics - Beni Mellal -maroc, Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen (GREYC), Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS)-Université de Caen Normandie (UNICAEN), and Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Mathematical optimization ,General Computer Science ,Computer science ,Gaussian ,Monte Carlo method ,0207 environmental engineering ,02 engineering and technology ,localization ,[SPI.AUTO]Engineering Sciences [physics]/Automatic ,symbols.namesake ,spectral matrix ,0202 electrical engineering, electronic engineering, information engineering ,Gaussian function ,angular spectrum ,subspace ,020701 environmental engineering ,Eigenvalues and eigenvectors ,Exponential Operator ,General Engineering ,Direction of arrival ,020206 networking & telecommunications ,DoA ,xponential Operator ,General Energy ,Power iteration ,symbols ,Algorithm ,[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing ,Subspace topology ,Signal subspace - Abstract
Article disponible : http://www.sersc.org/journals/IJAST/vol74/1.pdf; International audience; In this paper, we present an original spectral technique for estimating the Direction of Arrival (DoA) of narrowband sources impinging on an array ofsensors. In this approach, we use the exponential of inter spectral matrix of received data with Gaussian function toannihilate the eigenvalues corresponding to the signal subspace in order to obtain an approximation of the projectorinto 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
- Published
- 2015