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We propose a statistical framework for the problem of parameter estimation from a noisy optomechanical system. The Cram\'er-Rao lower bound on the estimation errors in the long-time limit is derived and compared with the errors of…

Optics · Physics 2013-10-31 Shan Zheng Ang , Glen I. Harris , Warwick P. Bowen , Mankei Tsang

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

This paper presents a novel optimization framework for beamforming design in integrated sensing and communication systems where a base station seeks to minimize the Bayesian Cram\'er-Rao bound of a sensing problem while satisfying quality…

Information Theory · Computer Science 2024-04-23 Kareem M. Attiah , Wei Yu

A Cram\'er-Rao bound (CRB) optimization framework for near-field sensing (NISE) with continuous-aperture arrays (CAPAs) is proposed. In contrast to conventional spatially discrete arrays (SPDAs), CAPAs emit electromagnetic (EM) probing…

Signal Processing · Electrical Eng. & Systems 2025-10-13 Hao Jiang , Zhaolin Wang , Yuanwei Liu , Arumugam Nallanathan

The focus of this research is sensor applications including radar and sonar. Optimal sensing means achieving the best signal quality with the least time and energy cost, which allows processing more data. This paper presents novel work by…

Signal Processing · Electrical Eng. & Systems 2021-07-06 Abdulaziz M. Alqarni , Thomas G. Robertazzi

The authors recently proposed a MIMO radar system that is implemented by a small wireless network. By applying compressive sensing (CS) at the receive nodes, the MIMO radar super-resolution can be achieved with far fewer observations than…

Information Theory · Computer Science 2009-12-08 Yao Yu , Athina P. Petropulu , H. Vincent Poor

In the context of joint communication and sensing JC&S, the challenge of obtaining accurate parameter estimates is of interest. Parameter estimates, such as the AoA can be utilized for solving the initial access problem, interference…

Signal Processing · Electrical Eng. & Systems 2026-01-08 Carl Collmann , Ahmad Nimr , Gerhard Fettweis

The goal of this paper is to characterize the best achievable performance for the problem of estimating an unknown parameter having a sparse representation. Specifically, we consider the setting in which a sparsely representable…

Statistics Theory · Mathematics 2009-09-29 Zvika Ben-Haim , Yonina C. Eldar

Bias estimation or sensor registration is an essential step in ensuring the accuracy of global tracks in multisensor-multitarget tracking. Most previously proposed algorithms for bias estimation rely on local measurements in centralized…

Methodology · Statistics 2016-03-23 Ehsan Taghavi , R. Tharmarasa , T. Kirubarajan , Yaakov Bar-Shalom , Mike McDonald

In modern radar systems, precise target localization using azimuth and velocity estimation is paramount. Traditional unbiased estimation methods have utilized gradient descent algorithms to reach the theoretical limits of the Cramer Rao…

Signal Processing · Electrical Eng. & Systems 2024-04-24 Shyam Venkatasubramanian , Sandeep Gogineni , Bosung Kang , Muralidhar Rangaswamy

In this paper, we study the sensor selection problem for remote state estimation under the Quality-of-Service (QoS) requirement constraints. Multiple sensors are employed to observe a linear time-invariant system, and their measurements…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Huiwen Yang , Lingying Huang , Chao Yang , Yilin Mo , Ling Shi

The theory of semiparametric estimation offers an elegant way of computing the Cram\'er-Rao bound for a parameter of interest in the midst of infinitely many nuisance parameters. Here I apply the theory to the problem of moment estimation…

Image and Video Processing · Electrical Eng. & Systems 2019-10-09 Mankei Tsang

A vector sensor, a type of sensor array with six collocated antennas to measure all electromagnetic field components of incident waves, has been shown to be advantageous in estimating the angle of arrival and polarization of the incident…

Signal Processing · Electrical Eng. & Systems 2020-04-14 Jianyuan Yu , William W. Howard , Daniel Tait , R. Michael Buehrer

Emerging wireless applications are requiring ever more accurate location-positioning from sensor measurements. In this paper, we develop sensor selection strategies for 3D wireless positioning based on time of arrival (TOA) and received…

Signal Processing · Electrical Eng. & Systems 2025-10-01 Myeung Suk Oh , Seyyedali Hosseinalipour , Taejoon Kim , David J. Love , James V. Krogmeier , Christopher G. Brinton

The detection of landmarks or patterns is of interest for extracting features in biological images. Hence, algorithms for finding these keypoints have been extensively investigated in the literature, and their localization and detection…

Information Theory · Computer Science 2017-10-11 Zsuzsanna Püspöki , Arash Amini , Julien Fageot , John Paul Ward , Michael Unser

In this paper, direction-of-arrival (DOA) estimation using non-coherent processing for partly calibrated arrays composed of multiple subarrays is considered. The subarrays are assumed to compute locally the sample covariance matrices of…

Applications · Statistics 2017-04-21 Wassim Suleiman , Pouyan Parvazi , Marius Pesavento , Abdelhak M. Zoubir

Already since the work by Abbe and Rayleigh the difficulty of super resolution where one wants to recover a collection of point sources from low-resolved microscopy measurements is thought to be dependent on whether the distance between the…

Numerical Analysis · Mathematics 2023-11-07 Mathias Hockmann

The Bayesian Cram\'er-Rao bound (BCRB) is a crucial tool in signal processing for assessing the fundamental limitations of any estimation problem as well as benchmarking within a Bayesian frameworks. However, the BCRB cannot be computed…

Signal Processing · Electrical Eng. & Systems 2025-02-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

We consider the anchor placement problem in localization based on one-way ranging, in which either the sensor or the anchors send the ranging signals. The number of anchors deployed over a geographical area is generally sparse, and we show…

Information Theory · Computer Science 2013-03-19 Sundeep Prabhakar Chepuri , Geert Leus , Alle-Jan van der Veen

This paper presents a Cramer-Rao bound (CRB) for the estimation of parameters confined to an arbitrary set. Unlike existing results that rely on equality or inequality constraints, manifold structures, or the nonsingularity of the Fisher…

Signal Processing · Electrical Eng. & Systems 2026-01-28 Heedong Do , Angel Lozano