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Blind calibration of sensors arrays (without using calibration signals) is an important, yet challenging problem in array processing. While many methods have been proposed for "classical" array structures, such as uniform linear arrays, not…

Signal Processing · Electrical Eng. & Systems 2020-10-29 Amir Weiss , Arie Yeredor

An asymptotically optimal blind calibration scheme of uniform linear arrays for narrowband Gaussian signals is proposed. Rather than taking the direct Maximum Likelihood (ML) approach for joint estimation of all the unknown model…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Amir Weiss , Arie Yeredor

The problems of uniform linear array (with uniform mutual coupling) calibration and Toeplitz covariance matrix estimation are re-examined for application in the receive arrays of modern High Frequency Over-the-Horizon Radars (HF OTHR).…

Signal Processing · Electrical Eng. & Systems 2024-09-20 Yuri Abramovich , Tanit Pongsiri

We propose a Kullback-Leibler Divergence (KLD) filter to extract anomalies within data series generated by a broad class of proximity sensors, along with the anomaly locations and their relative sizes. The technique applies to devices…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Ruikun Zhou , Wail Gueaieb , Davide Spinello

We address the problem of blind gain and phase calibration of a sensor array from ambient noise. The key motivation is to ease the calibration process by avoiding a complex procedure setup. We show that computing the sample covariance…

Instrumentation and Detectors · Physics 2023-03-22 Charles Vanwynsberghe , Simon Bouley , Jérôme Antoni

The implementation of computational sensing strategies often faces calibration problems typically solved by means of multiple, accurately chosen training signals, an approach that can be resource-consuming and cumbersome. Conversely, blind…

Information Theory · Computer Science 2017-02-17 Valerio Cambareri , Laurent Jacques

Computational sensing strategies often suffer from calibration errors in the physical implementation of their ideal sensing models. Such uncertainties are typically addressed by using multiple, accurately chosen training signals to recover…

Information Theory · Computer Science 2022-05-26 Valerio Cambareri , Laurent Jacques

The calibration of quantum measurements is limited by the ability to accurately prepare quantum states under unknown device errors. We develop an accurate calibration protocol for the measurement apparatus of a quantum computer that is…

We investigate a compressive sensing framework in which the sensors introduce a distortion to the measurements in the form of unknown gains. We focus on blind calibration, using measures performed on multiple unknown (but sparse) signals…

Information Theory · Computer Science 2014-08-26 Cagdas Bilen , Gilles Puy , Rémi Gribonval , Laurent Daudet

Future cosmic microwave background (CMB) experiments are primarily targeting a detection of the primordial $B$-mode polarisation. The faintness of this signal requires exquisite control of systematic effects which may bias the measurements.…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-05 F. Carralot , A. Carones , N. Krachmalnicoff , T. Ghigna , A. Novelli , L. Pagano , F. Piacentini , C. Baccigalupi , D. Adak , A. Anand , J. Aumont , S. Azzoni , M. Ballardini , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , A. Basyrov , M. Bersanelli , M. Bortolami , T. Brinckmann , F. Cacciotti , P. Campeti , E. Carinos , F. J. Casas , K. Cheung , L. Clermont , F. Columbro , G. Conenna , G. Coppi , A. Coppolecchia , F. Cuttaia , P. de Bernardis , M. De Lucia , S. Della Torre , E. Di Giorgi , P. Diego-Palazuelos , T. Essinger-Hileman , E. Ferreira , F. Finelli , C. Franceschet , G. Galloni , M. Galloway , M. Gervasi , R. T. Génova-Santos , S. Giardiello , C. Gimeno-Amo , E. Gjerløw , A. Gruppuso , M. Hazumi , S. Henrot-Versillé , L. T. Hergt , E. Hivon , H. Ishino , B. Jost , K. Kohri , L. Lamagna , C. Leloup , M. Lembo , F. Levrier , A. I. Lonappan , M. López-Caniego , G. Luzzi , J. Macias-Perez , E. Martínez-González , S. Masi , S. Matarrese , T. Matsumura , S. Micheli , M. Monelli , L. Montier , G. Morgante , B. Mot , L. Mousset , Y. Nagano , R. Nagata , T. Namikawa , P. Natoli , I. Obata , A. Occhiuzzi , A. Paiella , D. Paoletti , G. Pascual-Cisneros , G. Patanchon , V. Pavlidou , G. Pisano , G. Polenta , L. Porcelli , G. Puglisi , N. Raffuzzi , M. Remazeilles , J. A. Rubiño-Martín , M. Ruiz-Granda , J. Sanghavi , D. Scott , M. Shiraishi , R. M. Sullivan , Y. Takase , K. Tassis , L. Terenzi , M. Tomasi , M. Tristram , L. Vacher , B. van Tent , P. Vielva , G. Weymann-Despres , E. J. Wollack , M. Zannoni , Y. Zhou

Accurate sensor calibration is crucial for autonomous systems, yet its uncertainty quantification remains underexplored. We present the first approach to integrate uncertainty awareness into online extrinsic calibration, combining Monte…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Mathieu Cocheteux , Julien Moreau , Franck Davoine

We consider the problem of calibrating a compressed sensing measurement system under the assumption that the decalibration consists in unknown gains on each measure. We focus on {\em blind} calibration, using measures performed on a few…

Statistics Theory · Mathematics 2011-12-01 Rémi Gribonval , Gilles Chardon , Laurent Daudet

The Kullback-Leibler (KL) divergence is frequently used in data science. For discrete distributions on large state spaces, approximations of probability vectors may result in a few small negative entries, rendering the KL divergence…

Sampling and quantization are crucial in digital signal processing, but quantization introduces errors, particularly due to distribution mismatch between input signals and quantizers. Existing methods to reduce this error require precise…

Signal Processing · Electrical Eng. & Systems 2024-09-09 Aman Rishal Chemmala , Satish Mulleti

Calibration of sensors is a major challenge especially in inexpensive sensors and sensors installed in inaccessible locations. The feasibility of calibrating sensors without the need for a standard sensor is called blind calibration. There…

Signal Processing · Electrical Eng. & Systems 2023-08-07 Amit Kumar Mishra

Kalman filtering is a widely used framework for Bayesian estimation. The partitioned update Kalman filter applies a Kalman filter update in parts so that the most linear parts of measurements are applied first. In this paper, we generalize…

Optimization and Control · Mathematics 2016-03-16 Matti Raitoharju , Ángel F. García-Fernández , Robert Piché

Compressed sensing (CS) is a concept that allows to acquire compressible signals with a small number of measurements. As such it is very attractive for hardware implementations. Therefore, correct calibration of the hardware is a central…

Information Theory · Computer Science 2015-04-30 Christophe Schülke , Francesco Caltagirone , Florent Krzakala , Lenka Zdeborová

Maximizing the Kullback-Leibler divergence (KLD) is a fundamental problem in waveform design for active sensing and hypothesis testing, as it directly relates to the error exponent of detection probability. However, the associated…

Signal Processing · Electrical Eng. & Systems 2026-01-05 Jeongwoo Park , Seongkyu Jung , Kaiming Shen , Jeonghun Park

The capability of a novel Kullback-Leibler divergence method is examined herein within the Kalman filter framework to select the input-parameter-state estimation execution with the most plausible results. This identification suffers from…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Marios Impraimakis

We make two contributions to the problem of estimating the $L_1$ calibration error of a binary classifier from a finite dataset. First, we provide an upper bound for any classifier where the calibration function has bounded variation.…

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