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Eric Chaumette - IEEE Xplore Author Profile
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Eric Chaumette

Also published under: E. Chaumette, Éric Chaumette

Publications
113
Citations
684
Publications by Year
19932025
Co-Authors:
Show All Co-Authors (81)
Image of author Eric Chaumette

Eric Chaumette

Also published under: E. Chaumette, Éric Chaumette

Affiliation

ISAE-SUPAERO
University of Toulouse
Toulouse, France

Publication Topics

Biography

,Éric Chaumette was with Thales in various radar studies departments from 1990 to 2007. From 2007 to 2013, he was with the Electromagnetic and Radar Division of the French Aerospace Lab (ONERA), Palaiseau, France. Meanwhile, he received the PhD degree in 2004 in Signal Processing. He is now with the Department of Electronics, Optronics and Signal of ISAE (Institut Supérieur de l’Aéronautique et de l’Espace). Main domains of interest are related to detection and estimation theory, and GNSS based navigation.(Based on document published on 13 May 2024).
Publications
113
Citations
684
Publications by Year
19932025
Co-Authors:
Show All Co-Authors (81)
Author's Published Works

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Cramér-Rao Bound for Lie Group Parameter Estimation With Euclidean Observations and Unknown Covariance Matrix

Samy Labsir;Sara El Bouch;Alexandre Renaux;Jordi Vilà-Valls;Eric Chaumette

IEEE Transactions on Signal Processing
Year: 2025 | Volume: 73 | Journal Article |
This article addresses the problem of computing a Cramér-Rao bound when the likelihood of Euclidean observations is parameterized by both unknown Lie group (LG) parameters and covariance matrix. To achieve this goal, we leverage the LG structure of the space of positive definite matrices. In this way, we can assemble a global LG parameter that lies on the product of the two groups, on which LG's i...Show More

Cramér-Rao Bound for Lie Group Parameter Estimation With Euclidean Observations and Unknown Covariance Matrix

Samy Labsir;Sara El Bouch;Alexandre Renaux;Jordi Vilà-Valls;Eric Chaumette

Year: 2025 | Volume: 73 | Journal Article |

Delay Estimation with a Carrier Modulated by a Band-Limited Signal

Joan Bernabeu;Lorenzo Ortega;Antoine Blais;Yoan Grégoire;Eric Chaumette

2024 32nd European Signal Processing Conference (EUSIPCO)
Year: 2024 | Conference Paper |
Since time-delay estimation is a fundamental task in various engineering fields, several expressions for the CRB and MLE have been developed over the past decades. In all of these previous studies, a common assumption was that the wave transmission process introduced an unknown phase component, which made it impossible to exploit the phase component related to the delay from the carrier signal. Ho...Show More

Delay Estimation with a Carrier Modulated by a Band-Limited Signal

Joan Bernabeu;Lorenzo Ortega;Antoine Blais;Yoan Grégoire;Eric Chaumette

Year: 2024 | Conference Paper |

On Time-Delay Estimation Accuracy Limit Under Phase Uncertainty

Joan M. Bernabeu;Lorenzo Ortega;Antoine Blais;Yoan Grégoire;Eric Chaumette

2024 27th International Conference on Information Fusion (FUSION)
Year: 2024 | Conference Paper |
Accurately determining signal time-delay is crucial across various domains, such as localization and communication systems. Understanding the achievable optimal estimation performance of such technologies, especially during design phases, is essential for benchmarking purposes. One common approach is to derive bounds like the Cramér-Rao Bound (CRB), which directly reflects the minimum achievable e...Show More

On Time-Delay Estimation Accuracy Limit Under Phase Uncertainty

Joan M. Bernabeu;Lorenzo Ortega;Antoine Blais;Yoan Grégoire;Eric Chaumette

Year: 2024 | Conference Paper |

An Intrinsic Modified Cramér-Rao Bound on Lie Groups

Sara El Bouch;Samy Labsir;Alexandre Renaux;Jordi Vilà-Valls;Eric Chaumette

2024 27th International Conference on Information Fusion (FUSION)
Year: 2024 | Conference Paper |
The Modified Cramér-Rao Bound (MCRB) proves to be of significant importance in non-standard estimation scenarios, when in addition to unknown deterministic parameters to be estimated, observations also depend on random nuisance parameters. Given the interest of applications that involve estimation on Lie Groups (LGs), as well as the relevance of nonstandard estimation problems in many practical sc...Show More

An Intrinsic Modified Cramér-Rao Bound on Lie Groups

Sara El Bouch;Samy Labsir;Alexandre Renaux;Jordi Vilà-Valls;Eric Chaumette

Year: 2024 | Conference Paper |

Kalman filter for radio astronomy dynamic imaging based on empirical covariances

Cyril Cano;Nawel Arab;Éric Chaumette;Pascal Larzabal;Mohammed Nabil El Korso;Isabelle Vin

2024 IEEE Aerospace Conference
Year: 2024 | Conference Paper |
Traditional Kalman filters are not immediately suitable for the estimation of state parameters with sample covariance matrices as observations. This comes from the fact that the observations must be first expressed as a linear function of sample covariance matrices. The primary objective of this work is to enable the calculation of both the mean and covariance of the observation model noise, which...Show More

Kalman filter for radio astronomy dynamic imaging based on empirical covariances

Cyril Cano;Nawel Arab;Éric Chaumette;Pascal Larzabal;Mohammed Nabil El Korso;Isabelle Vin

Year: 2024 | Conference Paper |

A Modified Cramér-Rao Bound for Discrete-Time Markovian Dynamic Systems

Sara El Bouch;Jérôme Galy;Eric Chaumette;Jordi Vilà-Valls

ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Year: 2024 | Conference Paper |
It is well-known that the Modified Cramér-Rao Bound (MCRB) holds particular value in nonstandard deterministic estimation scenarios. Specifically, it proves invaluable when, in addition to estimating deterministic parameters, one needs to determine the probability density function (p.d.f) of the data through the marginalization of a joint p.d.f over random variables. In general, this process of ma...Show More

A Modified Cramér-Rao Bound for Discrete-Time Markovian Dynamic Systems

Sara El Bouch;Jérôme Galy;Eric Chaumette;Jordi Vilà-Valls

Year: 2024 | Conference Paper |

Intrinsic Slepian-Bangs Type Formula for Parameters on LGs with Unknown Measurement Noise Variance

Samy Labsir;Alexandre Renaux;Jordi Vilà-Valls;Eric Chaumette

2023 57th Asilomar Conference on Signals, Systems, and Computers
Year: 2023 | Conference Paper |
Intrinsic lower bounds on the intrinsic mean square error are of major importance to characterize the best achievable estimation performance of any unbiased estimator on smooth manifold as Lie group (LG). When the parameter is described by a LG model and the observation noise is with unknown variance, it is also necessary to determine a bound both on the LG parameter and this variance. In this com...Show More

Intrinsic Slepian-Bangs Type Formula for Parameters on LGs with Unknown Measurement Noise Variance

Samy Labsir;Alexandre Renaux;Jordi Vilà-Valls;Eric Chaumette

Year: 2023 | Conference Paper |

Kalman Filter for Dynamic Imaging Based on Complex Empirical Covariances

Nawel Arab;Cyril Cano;Isabelle Vin;Mohammed Nabil El Korso;Eric Chaumette;Pascal Larzabal

2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
Year: 2023 | Conference Paper |
Kalman filter (KF) is a priori unsuitable for the estimation from sample covariance matrices as they cannot be formulated analytically as a function of state parameters to be estimated. In this work, we propose a novel KF adapted to sample covariance matrices under the unconditional signal model. It is evaluated on simulated data representative of a dynamic radio astronomy framework, considering m...Show More

Kalman Filter for Dynamic Imaging Based on Complex Empirical Covariances

Nawel Arab;Cyril Cano;Isabelle Vin;Mohammed Nabil El Korso;Eric Chaumette;Pascal Larzabal

Year: 2023 | Conference Paper |

Time-Delay and Doppler Estimation with a Carrier Modulated by a Band-Limited Signal

Joan M. Bernabeu Frias;Lorenzo Ortega;Antoine Blais;Yoan Gregoire;Eric Chaumette

2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
Year: 2023 | Conference Paper |
Cited by: Papers (1)
Since time-delay and phase estimation is a fundamental task in a plethora of engineering fields, several CRB and MLE expressions have been derived for the past decades. In all these previous works, a common hypothesis is that the wave transmission process introduces an unknown phase which prevents from estimating both delay and transmission phase components. By revisiting this problem, including t...Show More

Time-Delay and Doppler Estimation with a Carrier Modulated by a Band-Limited Signal

Joan M. Bernabeu Frias;Lorenzo Ortega;Antoine Blais;Yoan Gregoire;Eric Chaumette

Year: 2023 | Conference Paper |

Joint Maximum a Posteriori - Maximum Likelihood Estimator for Linear Discrete- Time Systems

Sara El Bouch;Eric Chaumette;Jordi Vilà-Valls

2023 IEEE 9th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
Year: 2023 | Conference Paper |
This paper is concerned with the joint estimation of a hybrid vector with both random and deterministic parameters when a large set of dependent observations is available. This yields the joint Maximum A Posteriori-Maximum Likelihood estimator (MAP/MLE) for which we derive a recursive estimation scheme by leveraging previous results in the deterministic case. The main novelties are the recursive j...Show More

Joint Maximum a Posteriori - Maximum Likelihood Estimator for Linear Discrete- Time Systems

Sara El Bouch;Eric Chaumette;Jordi Vilà-Valls

Year: 2023 | Conference Paper |

An Improved Fast Estimation of Single Frequency

François Vincent;Olivier Besson;Benjamin Gigleux;Eric Chaumette

IEEE Signal Processing Letters
Year: 2023 | Volume: 30 | Journal Article |
Cited by: Papers (1)
Maximum Likelihood (ML) frequency estimation of a single tone in noise is known to be a computationally intensive task that does not cope with many real-time and embedded hardware architectures. Thereby, many sub-optimal techniques, based on approximations, have been proposed in the literature. In this letter, we show that the ML criterion can be solved directly, using an appropriate two-step proc...Show More

An Improved Fast Estimation of Single Frequency

François Vincent;Olivier Besson;Benjamin Gigleux;Eric Chaumette

Year: 2023 | Volume: 30 | Journal Article |

Invariance Approach to Integrity Monitoring Fault Detectors

Osman Coskun;Gaël Pages;Jordi Vilà-Valls;François Vincent;Eric Chaumette

IEEE Signal Processing Letters
Year: 2023 | Volume: 30 | Journal Article |
This contribution explores the optimality properties of integrity monitoring fault detectors by exploiting the hypothesis testing invariance theory. The focus is on three fault detectors widely used in GNSS: the Generalized Likelihood Ratio Test (GLRT), the Least Squares (LS) residuals method, and the Solution Separation (SS) test statistics. The GLRT has been shown to be uniformly most powerful i...Show More

Invariance Approach to Integrity Monitoring Fault Detectors

Osman Coskun;Gaël Pages;Jordi Vilà-Valls;François Vincent;Eric Chaumette

Year: 2023 | Volume: 30 | Journal Article |

GNSS L5/E5 Maximum Likelihood Synchronization Performance Degradation under DME Interferences

Lorenzo Ortega;Corentin Lubeigt;Jordi Vilã-Valls;Eric Chaumette

2023 IEEE/ION Position, Location and Navigation Symposium (PLANS)
Year: 2023 | Conference Paper |
Global Navigation Satellite Systems (GNSS) are a key player in a plethora of applications. For navigation purposes, interference scenarios are among the most challenging operation conditions, which clearly impact the maximum likelihood estimates (MLE) of the signal synchronization parameters. While several interference mitigation techniques exist, a theoretical analysis on the GNSS MLE performance...Show More

GNSS L5/E5 Maximum Likelihood Synchronization Performance Degradation under DME Interferences

Lorenzo Ortega;Corentin Lubeigt;Jordi Vilã-Valls;Eric Chaumette

Year: 2023 | Conference Paper |

Theoretical Performance Analysis of GNSS Tracking Loops

Samy Labsir;Gaël Pages;Lorenzo Ortega;Jordi Vilà-Valls;Éric Chaumette

2023 IEEE/ION Position, Location and Navigation Symposium (PLANS)
Year: 2023 | Conference Paper |
This paper aims to characterize the estimation precision at the output of the GNSS receiver tracking stage. We define an original statistical modelling of the GNSS tracking loop, which can then be exploited by an optimal linear Kalman Filter (KF) in order to obtain an analytical expression of the steady-state regime. The latter is designed to encompass dynamic information of the GNSS receiver. Two...Show More

Theoretical Performance Analysis of GNSS Tracking Loops

Samy Labsir;Gaël Pages;Lorenzo Ortega;Jordi Vilà-Valls;Éric Chaumette

Year: 2023 | Conference Paper |

Cramér-Rao Bound on Lie Groups with Observations on Lie Groups: Application to SE(2)

Samy Labsir;Alexandre Renaux;Jordi Vilà-Valls;Éric Chaumette

ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Year: 2023 | Conference Paper |
Cited by: Papers (1)
In this communication, we derive a new intrinsic Cramér-Rao bound for both parameters and observations lying on Lie groups. The expression is obtained by using the intrinsic properties of Lie groups. An exact expression is obtained for the case where parameters and observations are in SE(2), the semi-direct Lie group of 2D rotation and 2D translation. To support the discussion, the proposed bound ...Show More

Cramér-Rao Bound on Lie Groups with Observations on Lie Groups: Application to SE(2)

Samy Labsir;Alexandre Renaux;Jordi Vilà-Valls;Éric Chaumette

Year: 2023 | Conference Paper |

A Robust Kalman Filter Based Approach for Indoor Robot Positionning with Multi-Path Contaminated UWB Data

Justin Cano;Yi Ding;Gaël Pages;Eric Chaumette;Jerome Le Ny

ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Year: 2023 | Conference Paper |
Ultra-Wide Band (UWB) is a widely used technology to provide real-time and accurate indoor localization to mobile robots, allowing their safe operation in the absence of a satellite-based navigation solution. However, UWB performance suffers from multi-path outliers when signals reflect on surfaces or encounter obstacles. This paper describes an approach to mitigate this issue, based on a M-Estima...Show More

A Robust Kalman Filter Based Approach for Indoor Robot Positionning with Multi-Path Contaminated UWB Data

Justin Cano;Yi Ding;Gaël Pages;Eric Chaumette;Jerome Le Ny

Year: 2023 | Conference Paper |

Accounting for Acceleration—Signal Parameters Estimation Performance Limits in High Dynamics Applications

Hamish McPhee;Lorenzo Ortega;Jordi Vilà-Valls;Eric Chaumette

IEEE Transactions on Aerospace and Electronic Systems
Year: 2023 | Volume: 59, Issue: 1 | Journal Article |
Cited by: Papers (11)
The derivation of estimation lower bounds is paramount to designing and assessing the performance of new estimators. A lot of effort has been devoted to the range-velocity estimation problem, a fundamental stage on several applications, but very few works deal with acceleration, being a key aspect in high dynamics applications. Considering a generic band-limited signal formulation, we derive a new...Show More

Accounting for Acceleration—Signal Parameters Estimation Performance Limits in High Dynamics Applications

Hamish McPhee;Lorenzo Ortega;Jordi Vilà-Valls;Eric Chaumette

Year: 2023 | Volume: 59, Issue: 1 | Journal Article |

An Intrinsic McAulay-Seidman Bound for Parameters Evolving on Matrix Lie Groups

Samy Labsir;Daniel Medina;Jordi Vilá-Valls;Eric Chaumette

2022 56th Asilomar Conference on Signals, Systems, and Computers
Year: 2022 | Conference Paper |
Cited by: Papers (2)
Lower bounds on the mean square error (MSE) are of fundamental importance to know the ultimate achievable estimation performance of any unbiased estimator. Even if the Cramér-Rae bound (CRB) is the most popular one, mainly due to its simplicity of calculation, other bounds are of interest in several applications. In this communication, $w$e derive a new intrinsic McAulay-Seidman bound (IMSB) for t...Show More

An Intrinsic McAulay-Seidman Bound for Parameters Evolving on Matrix Lie Groups

Samy Labsir;Daniel Medina;Jordi Vilá-Valls;Eric Chaumette

Year: 2022 | Conference Paper |

Optimal Localizability Criterion for Positioning with Distance-Deteriorated Relative Measurements

Justin Cano;Gaël Pages;Eric Chaumette;Jerome Le Ny

2022 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS)
Year: 2022 | Conference Paper |
Cited by: Papers (2)
Position estimation in Multi-Robot Systems (MRS) relies on relative angle or distance measurements between the robots, which generally deteriorate as distances increase. Moreover, the localization accuracy is strongly influenced both by the quality of the raw measurements but also by the overall geometry of the network. In this paper, we design a cost function that accounts for these two issues an...Show More

Optimal Localizability Criterion for Positioning with Distance-Deteriorated Relative Measurements

Justin Cano;Gaël Pages;Eric Chaumette;Jerome Le Ny

Year: 2022 | Conference Paper |

Maintaining Robot Localizability with Bayesian Cramér-Rao Lower Bounds

Justin Cano;Corentin Chauffaut;Eric Chaumette;Gaël Pages;Jerome Le Ny

2022 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS)
Year: 2022 | Conference Paper |
Accurate and real-time position estimates are cru-cial for mobile robots. This work focuses on ranging-based positioning systems, which rely on distance measurements between known points, called anchors, and a tag to localize. The topology of the network formed by the anchors strongly influences the tag's localizability, i.e., its ability to be accurately localized. Here, the tag and some anchors ...Show More

Maintaining Robot Localizability with Bayesian Cramér-Rao Lower Bounds

Justin Cano;Corentin Chauffaut;Eric Chaumette;Gaël Pages;Jerome Le Ny

Year: 2022 | Conference Paper |

Multipath Estimating Techniques Performance Analysis

Corentin Lubeigt;Lorenzo Ortega;Jordi Vilà-Valls;Laurent Lestarquit;Eric Chaumette

2022 IEEE Aerospace Conference (AERO)
Year: 2022 | Conference Paper |
In Global Navigation Satellite Systems, resilience to multipath remains an important open issue, being the limiting factor in several applications due to the environment specific nature of such harsh propagation conditions. In order to as-sess the multipath impact into the final system performance, accurate metrics are required. The multipath error envelope (MPEE), even if easy to handle, is limit...Show More

Multipath Estimating Techniques Performance Analysis

Corentin Lubeigt;Lorenzo Ortega;Jordi Vilà-Valls;Laurent Lestarquit;Eric Chaumette

Year: 2022 | Conference Paper |

Non-Binary PRN-Chirp Modulation: A GNSS Fast Acquisition Signal Waveform

Lorenzo Ortega;Jordi Vilà-Valls;Eric Chaumette

IEEE Communications Letters
Year: 2022 | Volume: 26, Issue: 9 | Journal Article |
In this letter, we propose a new non-binary modulation which allows both Global Navigation Satellite Systems (GNSS) synchronization and the demodulation of non-binary symbols, without the need of a pilot signal, with the aim to provide a fast first position, velocity and time fix. The waveform is constructed as the product of i) a pseudo-random noise sequence with good auto-correlation and cross-c...Show More

Non-Binary PRN-Chirp Modulation: A GNSS Fast Acquisition Signal Waveform

Lorenzo Ortega;Jordi Vilà-Valls;Eric Chaumette

Year: 2022 | Volume: 26, Issue: 9 | Journal Article |

Clean-to-Composite Bound Ratio: A Multipath Criterion for GNSS Signal Design and Analysis

Corentin Lubeigt;Lorenzo Ortega;Jordi Vilà-Valls;Laurent Lestarquit;Eric Chaumette

IEEE Transactions on Aerospace and Electronic Systems
Year: 2022 | Volume: 58, Issue: 6 | Journal Article |
Multipath is one of the most challenging propagation conditions affecting global navigation satellite systems (GNSS), which must be mitigated in order to obtain reliable navigation information. In any case, the random multipath nature makes it difficult to anticipate and overcome. Therefore, for legacy GNSS signal performance assessment, modern GNSS signal design, and future GNSS-based application...Show More

Clean-to-Composite Bound Ratio: A Multipath Criterion for GNSS Signal Design and Analysis

Corentin Lubeigt;Lorenzo Ortega;Jordi Vilà-Valls;Laurent Lestarquit;Eric Chaumette

Year: 2022 | Volume: 58, Issue: 6 | Journal Article |

Robust Linearly Constrained Square-Root Cubature Kalman Filter for Mismatched Nonlinear Dynamic Systems

Rayen Ben Abdallah;Gaël Pagès;Damien Vivet;Jordi Vilà-Valls;Eric Chaumette

IEEE Control Systems Letters
Year: 2022 | Volume: 6 | Journal Article |
Cited by: Papers (2)
This letter addresses the robust state estimation problem for mismatched nonlinear dynamic systems. In this context, we are interested in nonlinear filters able to provide consistent estimates while mitigating the impact of possible modeling errors. We focus on the cubature Kalman filter (CKF) and its square-root form (SCKF), being the most promising nonlinear Gaussian filters, the latter providin...Show More

Robust Linearly Constrained Square-Root Cubature Kalman Filter for Mismatched Nonlinear Dynamic Systems

Rayen Ben Abdallah;Gaël Pagès;Damien Vivet;Jordi Vilà-Valls;Eric Chaumette

Year: 2022 | Volume: 6 | Journal Article |

Clock and Power-Induced Bias Correction for UWB Time-of-Flight Measurements

Justin Cano;Gaël Pagès;Éric Chaumette;Jérôme LeNy

IEEE Robotics and Automation Letters
Year: 2022 | Volume: 7, Issue: 2 | Journal Article |
Cited by: Papers (19)
Ultra-Wide Band (UWB) communication systems can be used to design low cost, power efficient and precise navigation systems for mobile robots, by measuring the Time of Flight (ToF) of messages traveling between on-board UWB transceivers to infer their locations. Theoretically, decimeter level positioning accuracy or better should be achievable, at least in benign propagation environments where Line...Show More

Clock and Power-Induced Bias Correction for UWB Time-of-Flight Measurements

Justin Cano;Gaël Pagès;Éric Chaumette;Jérôme LeNy

Year: 2022 | Volume: 7, Issue: 2 | Journal Article |

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