Search Results - "Le Bihan, Nicolas"

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  1. 1

    Polarized Signal Singular Spectrum Analysis with Complex SSA by Journe, Sebastien, Bihan, Nicolas Le, Chatelain, Florent, Flamant, Julien

    “…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
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    A Complete Framework for Linear Filtering of Bivariate Signals by Flamant, Julien, Chainais, Pierre, Le Bihan, Nicolas

    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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    Journal Article
  4. 4

    An Optimal Linear Fusion Estimation Algorithm of Reduced Dimension for T-Proper Systems with Multiple Packet Dropouts by Fernández-Alcalá, Rosa M, Jiménez-López, José D, Le Bihan, Nicolas, Cheong Took, Clive

    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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    Journal Article
  5. 5

    Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing by Le Bihan, Nicolas, Mars, Jérôme

    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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    Journal Article
  6. 6

    Isotropic Multiple Scattering Processes on Hyperspheres by Le Bihan, Nicolas, Chatelain, Florent, Manton, Jonathan H.

    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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    Journal Article
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    Analysis of seismic waves crossing the Santa Clara Valley using the three-component MUSIQUE array algorithm by Hobiger, Manuel, Cornou, Cécile, Bard, Pierre-Yves, Le Bihan, Nicolas, Imperatori, Walter

    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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    Journal Article
  8. 8

    Quaternion polynomial matrix diagonalization for the separation of polarized convolutive mixture by Menanno, Giovanni M., Le Bihan, Nicolas

    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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    Journal Article
  9. 9

    Quaternion Polar Representation with a Complex Modulus and Complex Argument Inspired by the Cayley-Dickson Form by Sangwine, Stephen J., Bihan, Nicolas Le

    “… 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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    Journal Article
  10. 10

    Geodesic normal distribution on the circle by Coeurjolly, Jean-François, Bihan, Nicolas Le

    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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    Journal Article
  11. 11

    An Optimal Linear Fusion Estimation Algorithm of Reduced Dimension for T-Proper Systems with Multiple Packet Dropouts by Fernández-Alcalá, Rosa M, Jiménez-López, José D, Bihan, Nicolas Le, Took, Clive Cheong

    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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    Journal Article
  12. 12

    Higher-order statistics of Stokes parameters in a random birefringent medium by Said, Salem, Le Bihan, Nicolas

    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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    Journal Article
  13. 13

    The geometry of proper quaternion random variables by Le Bihan, Nicolas

    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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    Journal Article
  14. 14

    Fast and Accurate Gravitational-Wave Modelling with Principal Component Regression by Cano, Cyril, Chassande-Mottin, Eric, Bihan, Nicolas Le

    “…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
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    Performance-Complexity Trade-Off in Large Dimensional Statistics by Zarrouk, Tayeb, Couillet, Romain, Chatelain, Florent, Bihan, Nicolas Le

    “…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. 16

    Spectral Analysis of Stationary Random Bivariate Signals by Flamant, Julien, Le Bihan, Nicolas, Chainais, Pierre

    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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    Journal Article
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    Complexity and Similarity for Sequences using LZ77-based conditional information measure by Cayre, Francois, Bihan, Nicolas Le

    “…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
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    Vector-Sensor MUSIC for Polarized Seismic Sources Localization by Miron, Sebastian, Le Bihan, Nicolas, Mars, Jérôme I.

    “…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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    Journal Article
  20. 20

    A complete framework for linear filtering of bivariate signals by Flamant, Julien, Chainais, Pierre, Bihan, Nicolas Le

    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…”
    Get full text
    Journal Article