Search Results - "Le Bihan, Nicolas"
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Polarized Signal Singular Spectrum Analysis with Complex SSA
Published in ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (04-06-2023)“…This paper considers the analysis of bivariate signals using complex Singular Spectrum Analysis (SSA). It introduces a pseudo-correlation based criterion in…”
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Conference Proceeding -
2
On the nightglow polarisation for space weather exploration
Published in Journal of space weather and space climate (2020)“…We present here observations of the polarisation of four auroral lines in the auroral oval and in the polar cusp using a new ground polarimeter called Petit…”
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3
A Complete Framework for Linear Filtering of Bivariate Signals
Published in IEEE transactions on signal processing (01-09-2018)“…A complete framework for the linear time-invariant (LTI) filtering theory of bivariate signals is proposed based on tailored quaternion Fourier transform. This…”
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4
An Optimal Linear Fusion Estimation Algorithm of Reduced Dimension for T-Proper Systems with Multiple Packet Dropouts
Published in Sensors (Basel, Switzerland) (17-04-2023)“…This paper analyses the centralized fusion linear estimation problem in multi-sensor systems with multiple packet dropouts and correlated noises. Packet…”
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5
Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
Published in Signal processing (01-07-2004)“…We present a new approach for vector-sensor signal modelling and processing, based on the use of quaternion algebra. We introduce the concept of quaternionic…”
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6
Isotropic Multiple Scattering Processes on Hyperspheres
Published in IEEE transactions on information theory (01-10-2016)“…This paper presents several results about isotropic random walks and multiple scattering processes on hyperspheres S p-1 . It allows one to derive the Fourier…”
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7
Analysis of seismic waves crossing the Santa Clara Valley using the three-component MUSIQUE array algorithm
Published in Geophysical journal international (01-10-2016)“…We introduce the MUSIQUE algorithm and apply it to seismic wavefield recordings in California. The algorithm is designed to analyse seismic signals recorded by…”
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8
Quaternion polynomial matrix diagonalization for the separation of polarized convolutive mixture
Published in Signal processing (01-07-2010)“…A generalization of the sequential best rotation algorithm (SBR2) to the quaternion algebra is proposed for convolutive mixture of polarized signals recorded…”
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Quaternion Polar Representation with a Complex Modulus and Complex Argument Inspired by the Cayley-Dickson Form
Published in Advances in applied Clifford algebras (2010)“… We present a new polar representation of quaternions inspired by the Cayley-Dickson representation. In this new polar representation, a quaternion is…”
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10
Geodesic normal distribution on the circle
Published in Metrika (01-10-2012)“…This paper is concerned with the study of a circular random distribution called geodesic normal distribution recently proposed for general manifolds. This…”
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An Optimal Linear Fusion Estimation Algorithm of Reduced Dimension for T-Proper Systems with Multiple Packet Dropouts
Published 18-10-2024“…Sensors 2023, 23(8), 4047 This paper analyses the centralized fusion linear estimation problem in multi-sensor systems with multiple packet dropouts and…”
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12
Higher-order statistics of Stokes parameters in a random birefringent medium
Published in Waves in random and complex media (01-05-2008)“…We present a new model for the propagation of polarized light in a random birefringent medium. This model is based on a decomposition of the higher-order…”
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The geometry of proper quaternion random variables
Published in Signal processing (01-09-2017)“…•New defition of circularity and properness for quaternion random variables.•Description of covariance matrices symmetries for quaternion proper random…”
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14
Fast and Accurate Gravitational-Wave Modelling with Principal Component Regression
Published in 2022 30th European Signal Processing Conference (EUSIPCO) (29-08-2022)“…Inference from gravitational-wave observations relies on the availability of accurate theoretical waveform models to compare with the data. This paper…”
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Conference Proceeding -
15
Performance-Complexity Trade-Off in Large Dimensional Statistics
Published in 2020 IEEE 30th International Workshop on Machine Learning for Signal Processing (MLSP) (01-09-2020)“…This article introduces a random matrix framework for the analysis of the trade-off between performance and complexity in a class of machine learning…”
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Conference Proceeding -
16
Spectral Analysis of Stationary Random Bivariate Signals
Published in IEEE transactions on signal processing (01-12-2017)“…A novel approach toward the spectral analysis of stationary random bivariate signals is proposed. Unlike existing approaches, the proposed framework exhibits a…”
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Foreword to the special issue “Hypercomplex Signal Processing”
Published in Signal processing (01-07-2017)Get full text
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18
Complexity and Similarity for Sequences using LZ77-based conditional information measure
Published in 2019 IEEE International Symposium on Information Theory (ISIT) (01-07-2019)“…This work concerns the definition of conditional mutual information in the framework of Algorithmic Information Theory (AIT), which is of use when no…”
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Conference Proceeding -
19
Vector-Sensor MUSIC for Polarized Seismic Sources Localization
Published in EURASIP journal on advances in signal processing (01-01-2005)“…This paper addresses the problem of high-resolution polarized source detection and introduces a new eigenstructure-based algorithm that yields direction of…”
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20
A complete framework for linear filtering of bivariate signals
Published 07-02-2018“…A complete framework for the linear time-invariant (LTI) filtering theory of bivariate signals is proposed based on a tailored quaternion Fourier transform…”
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Journal Article