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Related papers: Cram\'er-Rao Bounds for Near-Field Localization

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Applications towards 6G have brought a huge interest towards arrays with a high number of antennas and operating within the millimeter and sub-THz bandwidths for joint communication and localization. With such large arrays, the plane wave…

Information Theory · Computer Science 2021-11-10 Anna Guerra , Francesco Guidi , Davide Dardari , Petar M. Djuric

The Cram\'er-Rao bound (CRB), a well-known lower bound on the performance of any unbiased parameter estimator, has been used to study a wide variety of problems. However, to obtain the CRB, requires an analytical expression for the…

Machine Learning · Computer Science 2022-10-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

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

We consider high angular resolution detection using distributed mobile platforms implemented with so-called partly calibrated arrays, where position errors between subarrays exist and the counterparts within each subarray are ideally…

Signal Processing · Electrical Eng. & Systems 2025-03-28 Guangbin Zhang , Yan Wang , Tianyao Huang , Yonina C. Eldar

In wireless networks, an essential step for precise range-based localization is the high-resolution estimation of multipath channel delays. The resolution of traditional delay estimation algorithms is inversely proportional to the bandwidth…

Signal Processing · Electrical Eng. & Systems 2021-11-23 Tarik Kazaz , Gerard J. M. Janssen , Jac Romme , Alle-Jan Van der Veen

We investigate a wireless network localization scenario in which the need for synchronized nodes is avoided. It consists of a set of fixed anchor nodes transmitting according to a given sequence and a self-localizing receiver node. The…

Statistics Theory · Mathematics 2013-04-24 Dave Zachariah , Alessio De Angelis , Satyam Dwivedi , Peter Händel

Velocity estimation is a cornerstone of the recently introduced near-field predictive beamforming. This paper derives the Cramer-Rao bounds (CRBs) for joint radial and transverse velocity estimation within a predictive beamforming framework…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Khalid A. Alshumayri , Mudassir Masood , Ali. A. Nasir

Movable antennas (MAs) have emerged as a promising technology to improve wireless communication and sensing performance towards sixth-generation (6G) networks through flexible antenna movement. In this paper, we propose a novel wireless…

Signal Processing · Electrical Eng. & Systems 2025-11-25 Haobin Mao , Lipeng Zhu , Wenyan Ma , Zhenyu Xiao , Xiang-Gen Xia , Rui Zhang

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

Finite-aperture constraints render array design nontrivial and can undermine the effectiveness of classical sparse geometries. This letter provides universal guidance for fluid antenna array (FAA) design under a fixed aperture. We derive a…

Information Theory · Computer Science 2026-05-08 Zhentian Zhang , Kai-Kit Wong , Hao Jiang , Farshad Rostami Ghadi , Hyundong Shin , Yangyang Zhang

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

This paper investigates jointly optimal array geometry and waveform designs for active sensing. Specifically, we focus on minimizing the Cram\'er-Rao lower bound (CRB) of the angle of a single target in white Gaussian noise. We first find…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Ids van der Werf , Robin Rajamäki , Geert Leus

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 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 this paper, we derive for the first time the exact Cramer-Rao bounds (CRBs) on semi-blind channel estimation for amplify-and-forward two-way relay networks. The bounds cover a wide range of modulation schemes that satisfy a certain…

Information Theory · Computer Science 2012-07-24 Saeed Abdallah , Ioannis N. Psaromiligkos

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

Extremely large-scale antenna arrays (ELAAs) envisioned for 6G enable high-resolution sensing. However, the ELAAs worked in extremely high frequency will push operation into the near-field region, where spherical wavefronts invalidate…

Signal Processing · Electrical Eng. & Systems 2026-01-01 Tong Wei , Kumar Vijay Mishra , Bhavani Shankar M. R. , Björn Ottersten

Accurately estimating the position of a wireless emitter in a multipath environment based on samples received at various base stations (in known locations) has been extensively explored in the literature. Existing approaches often assume…

Signal Processing · Electrical Eng. & Systems 2024-10-15 Asaf Afriat , Dan Raphaeli , Oded Bialer

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

Complete awareness of the wireless environment, crucial for future intelligent networks, requires sensing all transmitted signals, not just the strongest. A fundamental barrier is estimating the target signal when it is buried under strong…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Bowen Li , Junting Chen , Nikolaos Pappas