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Knowledge about the location of licensed primary-users (PU) could enable several key features in cognitive radio (CR) networks including improved spatio-temporal sensing, intelligent location-aware routing, as well as aiding spectrum policy…

Performance · Computer Science 2016-11-18 Jun Wang , Jianshu Chen , Danijela Cabric

Localization performance in wireless networks has been traditionally benchmarked using the Cramer-Rao lower bound (CRLB), given a fixed geometry of anchor nodes and a target. However, by endowing the target and anchor locations with…

Networking and Internet Architecture · Computer Science 2017-10-24 Christopher E. O'Lone , Harpreet S. Dhillon , R. M. Buehrer

In this paper, we study performance limits of sensor localization from a novel perspective. Specifically, we consider the Cramer-Rao Lower Bound (CRLB) in single-hop sensor localization using measurements from received signal strength…

Systems and Control · Computer Science 2018-01-30 Baoqi Huang , Tao Li , Brian D. O. Anderson , Changbin Yu

This paper presents an analysis of target localization accuracy, attainable by the use of MIMO (Multiple-Input Multiple-Output) radar systems, configured with multiple transmit and receive sensors, widely distributed over a given area. The…

Information Theory · Computer Science 2016-11-18 Hana Godrich , Alexander M. Haimovich , Rick S. Blum

This paper studies the performance of a randomly RIS-assisted multi-target localization system, in which the configurations of the RIS are randomly set to avoid high-complexity optimization. We first focus on the scenario where the number…

Information Theory · Computer Science 2023-11-21 Zhengyu Wang , Hongzheng Liu , Rujing Xiong , Fuhai Wang , Robert Caiming Qiu

In this paper, we derive the Cramer-Rao bound (CRB) for joint target position and velocity estimation using an active or passive distributed radar network under more general, and practically occurring, conditions than assumed in previous…

Statistics Theory · Mathematics 2016-04-20 Qian He , Jianbin Hu , Rick S. Blum , Yonggang Wu

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

Millimeter-wave (mmWave) communication is a promising solution for achieving high data rate and low latency in 5G wireless cellular networks. Since directional beamforming and antenna arrays are exploited in the mmWave networks, accurate…

Information Theory · Computer Science 2020-11-26 Jiajun He , Young Jin Chun

In the next generation of wireless systems, Massive MIMO offers high angular resolution for localization. By virtue of large number of antennas, the Angle of Arrival (AoA) of User Terminals (UTs) can be estimated with high accuracy.…

Information Theory · Computer Science 2021-03-11 Masoud Arash , Hamed Mirghasemi , Ivan Stupia , Luc Vandendorpe

The localization of directional RF emitters presents significant challenges for electronic warfare applications. Traditional localization methods, designed for omnidirectional emitters, experience degraded performance when applied to…

Signal Processing · Electrical Eng. & Systems 2025-10-30 Fraser Williams , Akila Pemasiri , Dhammika Jayalath , Terry Martin , Clinton Fookes

The Bayesian Cram\'er-Rao bound (CRB) provides a lower bound on the mean square error of any Bayesian estimator under mild regularity conditions. It can be used to benchmark the performance of statistical estimators, and provides a…

Machine Learning · Statistics 2024-09-09 Evan Scope Crafts , Xianyang Zhang , Bo Zhao

This paper derives a general expression for the Cram\'er-Rao bound (CRB) of wireless localization algorithms using range measurements subject to bias corruption. Specifically, the a priori knowledge about which range measurements are…

Information Theory · Computer Science 2011-11-10 Tao Wang

This paper presents a distributed estimator for a deterministic parametric physical field sensed by a homogeneous sensor network and develops a new transformed expression for the Cramer-Rao lower bound (CRLB) on the variance of distributed…

Information Theory · Computer Science 2015-06-17 Salvatore Talarico , Natalia A. Schmid , Marwan Alkhweldi , Matthew C. Valenti

This paper investigates the asymptotic behavior of the deterministic and stochastic Cram\'er-Rao Bounds (CRB) for semi-blind channel estimation in massive multiple-input multiple-output (MIMO) systems. We derive and analyze mathematically…

Signal Processing · Electrical Eng. & Systems 2025-07-15 Xue Zhang , Abla Kammoun , Mohamed-Slim Alouini

Context. The best precision that can be achieved to estimate the location of a stellar-like object is a topic of permanent interest in the astrometric community. Aims. We analyse bounds for the best position estimation of a stellar-like…

Instrumentation and Methods for Astrophysics · Physics 2016-10-26 Alex Echeverria , Jorge F. Silva , Rene A. Mendez , Marcos Orchard

In this study, the hybrid Cramer-Rao bound (CRB) is developed for target localization, to establish the sensitivity of the estimation mean-square error (MSE) to the level of phase synchronization mismatch in coherent Multiple-Input…

Information Theory · Computer Science 2009-10-30 Hana Godrich , Alexander M. Haimovich , H. Vincent Poor

Although direct position estimation (DPE) has been demonstrated to offer enhanced robustness in GNSS receivers, its theoretical limits and performance in OFDM based positioning systems remain largely unexplored. In this paper, the…

Signal Processing · Electrical Eng. & Systems 2025-08-05 Sijia Li , Rui Sun , Bing Xu , Yuanwei Liu

The performance bounds of near-field sensing are studied for circular arrays, focusing on the impact of bandwidth and array size. The closed-form Cramer-Rao bound (CRBs) for angle and distance estimation are derived, revealing the scaling…

Information Theory · Computer Science 2024-09-04 Zhaolin Wang , Xidong Mu , Yuanwei Liu

This paper investigates unmanned aerial vehicle (UAV) localization using time difference of arrival (TDOA) measurements under mixed line-of-sight (LOS) and non-line-of-sight (NLOS) conditions. A 3D TDOA Cram\'er-Rao lower bound (CRLB) model…

Signal Processing · Electrical Eng. & Systems 2025-12-17 Cole Dickerson , Saad Masrur , Jonah Dickerson , Özgür Özdemir , Ismail Güvenç

We consider a mixed analog-to-digital converter (ADC) based architecture for direction of arrival (DOA) estimation using a uniform linear array (ULA). We derive the Cram{\'e}r-Rao bound (CRB) of the DOA under the optimal time-varying…

Signal Processing · Electrical Eng. & Systems 2023-05-16 Xinnan Zhang , Yuanbo Cheng , Xiaolei Shang , Jun liu
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