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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…

信息论 · 计算机科学 2017-02-17 Valerio Cambareri , Laurent Jacques

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…

信息论 · 计算机科学 2014-08-26 Cagdas Bilen , Gilles Puy , Rémi Gribonval , Laurent Daudet

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…

统计理论 · 数学 2011-12-01 Rémi Gribonval , Gilles Chardon , Laurent Daudet

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…

仪器与探测器 · 物理学 2023-03-22 Charles Vanwynsberghe , Simon Bouley , Jérôme Antoni

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…

信息论 · 计算机科学 2015-04-30 Christophe Schülke , Francesco Caltagirone , Florent Krzakala , Lenka Zdeborová

Blind gain and phase calibration (BGPC) is a structured bilinear inverse problem, which arises in many applications, including inverse rendering in computational relighting (albedo estimation with unknown lighting), blind phase and gain…

信息论 · 计算机科学 2016-11-03 Yanjun Li , Kiryung Lee , Yoram Bresler

The design of high-precision sensing devises becomes ever more difficult and expensive. At the same time, the need for precise calibration of these devices (ranging from tiny sensors to space telescopes) manifests itself as a major…

信息论 · 计算机科学 2015-10-28 Shuyang Ling , Thomas Strohmer

In this paper a novel distributed algorithm for blind macro calibration in sensor networks based on output synchronization is proposed. The algorithm is formulated as a set of gradient-type recursions for estimating parameters of sensor…

系统与控制 · 计算机科学 2016-03-27 Miloš S. Stanković , Srđan S. Stanković , Karl Henrik Johansson

The realisation of sensing modalities based on the principles of compressed sensing is often hindered by discrepancies between the mathematical model of its sensing operator, which is necessary during signal recovery, and its actual…

信息论 · 计算机科学 2018-02-21 Valerio Cambareri , Amirafshar Moshtaghpour , Laurent Jacques

Recent years have seen a flurry of activities in designing provably efficient nonconvex procedures for solving statistical estimation problems. Due to the highly nonconvex nature of the empirical loss, state-of-the-art procedures often…

机器学习 · 计算机科学 2020-06-09 Cong Ma , Kaizheng Wang , Yuejie Chi , Yuxin Chen

Blind gain and phase calibration (BGPC) is a bilinear inverse problem involving the determination of unknown gains and phases of the sensing system, and the unknown signal, jointly. BGPC arises in numerous applications, e.g., blind albedo…

信息论 · 计算机科学 2017-12-04 Yanjun Li , Kiryung Lee , Yoram Bresler

Radio interferometric imaging aims to estimate an unknown sky intensity image from degraded observations, acquired through an antenna array. In the theoretical case of a perfectly calibrated array, it has been shown that solving the…

天体物理仪器与方法 · 物理学 2017-07-25 Audrey Repetti , Jasleen Birdi , Arwa Dabbech , Yves Wiaux

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…

信号处理 · 电气工程与系统科学 2023-08-07 Amit Kumar Mishra

In this work, we consider the problem of joint calibration and direction-of-arrival (DOA) estimation using sensor arrays. This joint estimation problem is referred to as self calibration. Unlike many previous iterative approaches, we…

信号处理 · 电气工程与系统科学 2021-04-07 Krishnaprasad Nambur Ramamohan , Sundeep Prabhakar Chepuri , Daniel Fernandez Comesana , Geert Leus

In this work, we investigate an efficient numerical approach for solving higher order statistical methods for blind and semi-blind signal recovery from non-ideal channels. We develop numerical algorithms based on convex optimization…

信息论 · 计算机科学 2016-11-17 Huy-Dung Han , Zhi Ding , Muhammad Zia

In this work we address the problem of blindly reconstructing compressively sensed signals by exploiting the co-sparse analysis model. In the analysis model it is assumed that a signal multiplied by an analysis operator results in a sparse…

信息论 · 计算机科学 2013-03-27 Julian Wörmann , Simon Hawe , Martin Kleinsteuber

The recent development of compressed sensing has led to spectacular advances in the understanding of sparse linear estimation problems as well as in algorithms to solve them. It has also triggered a new wave of developments in the related…

信息论 · 计算机科学 2016-07-05 Christophe Schülke

We study an auto-calibration problem in which a transform-sparse signal is acquired via compressive sensing by multiple sensors in parallel, but with unknown calibration parameters of the sensors. This inverse problem has an important…

最优化与控制 · 数学 2025-10-29 Yuan Ni , Thomas Strohmer

In this paper, we consider the highly ill-posed problem of jointly recovering two real-valued signals from the phaseless measurements of their circular convolution. The problem arises in various imaging modalities such as Fourier…

图像与视频处理 · 电气工程与系统科学 2020-03-02 Fahad Shamshad , Ali Ahmed

The removal of blur from a signal, in the presence of noise, is readily accomplished if the blur can be described in precise mathematical terms. However, there is growing interest in problems where the extent of blur is known only…

统计理论 · 数学 2007-11-06 Peter Hall , Peihua Qiu
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