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In this paper, theoretical limits on time delay estimation are studied for ultra-wideband (UWB) cognitive radio systems. For a generic UWB spectrum with dispersed bands, the Cramer-Rao lower bound (CRLB) is derived for unknown channel…

Information Theory · Computer Science 2016-11-17 Sinan Gezici , Hasari Celebi , Huseyin Arslan , H. Vincent Poor

In this paper, performance bounds for the multi-antenna near-field range estimation of extended targets are provided. First, analytic expressions of the ambiguity functions are obtained, emphasising the cooperation between the waveform…

Signal Processing · Electrical Eng. & Systems 2024-07-24 Guillaume Thiran , François De Saint Moulin , Claude Oestges , Luc Vandendorpe

In this paper, we consider the Cramer-Rao lower bound (CRLB) for estimation of a lens-embedded antenna array with deterministic parameters. Unlike CRLB of uniform linear array (ULA), it is noted that CRLB for direction of arrival (DoA) of…

Information Theory · Computer Science 2016-12-14 Jae-Nam Shim , Hongseok Park , GeeYong Suk , Chan-Byoung Chae , Dong Ku Kim

We derive the closed form Cramer-Rao bound (CRB) expressions for joint estimation of time delay and Doppler shift with unknown signals with possibly known structure. The results are especially useful for passive radar where direct path and…

Signal Processing · Electrical Eng. & Systems 2018-05-07 Yicheng Chen , Rick S. Blum

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

In practical nonlinear filtering, the assessment of achievable filtering performance is important. In this paper, we focus on the problem of efficiently approximate the posterior Cramer-Rao lower bound (CRLB) in a recursive manner. By using…

Applications · Statistics 2010-05-31 Ming Lei , Pierre Del Moral , Christophe Baehr

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

Near-field sensing with extremely large-scale antenna arrays (ELAAs) in practical 6G systems is expected to operate over broad bandwidths, where delay, Doppler, and spatial effects become tightly coupled across frequency. The purpose of…

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

This paper considers the Cram\`er-Rao lower Bound (CRB) for the source localization problem in the near field. More specifically, we use the exact expression of the delay parameter for the CRB derivation and show how this exact CRB can be…

Computational Engineering, Finance, and Science · Computer Science 2013-03-11 Youcef Begriche , Messaoud Thameri , Karim Abed-Meraim

This paper investigates the performance of joint time delay and Doppler-stretch estimation with the random stepp ed-frequency (RSF) signal. Applying the ambiguity function (AF) to implement the estimation, we derive the compact expressions…

Information Theory · Computer Science 2016-05-20 Tong Zhao , Zheng Nan , Tianyao Huang

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

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

Integrated sensing and communications (ISAC), radar, and beamforming require real-time, high-resolution estimation algorithms to determine delay-Doppler values of specular paths within the wireless propagation channel. Our contribution is…

Signal Processing · Electrical Eng. & Systems 2026-01-22 Lorenz Mohr , Michael Döbereiner , Steffen Schieler , Joerg Robert , Christian Schneider , Sebastian Semper , Reiner S. Thomä

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

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

The use of future communication systems for sensing offers the potential for a number of new applications. In this paper, we show that leveraging user data payloads in multi-node Orthogonal Frequency Division Multiple Access (OFDMA)…

Signal Processing · Electrical Eng. & Systems 2025-03-10 Marc Miranda , Sebastian Semper , Christian Schneider , Reiner Thomä , Giovanni Del Galdo

A Cramer-Rao bound (CRB) for semi-blind channel estimators in redundant block transmission systems is derived. The derived CRB is valid for any system adopting a full-rank linear redundant precoder, including the popular cyclic-prefixed…

Information Theory · Computer Science 2012-09-20 Yen-Huan Li , Borching Su , Ping-Cheng Yeh

The analytic expression of CRLB and the maximum likelihood estimator for spatial correlation matrices in time-varying multipath fading channels for MIMO OFDM systems are reported in this paper. The analytical and numerical results reveal…

Information Theory · Computer Science 2008-11-05 Xiaochuan Zhao , Tao Peng , Ming Yang , Wenbo Wang

Multiband sensing is a promising technology that utilizes multiple non-contiguous frequency bands to achieve high-resolution target sensing. In this paper, we investigate the fundamental limits and optimization of multiband sensing,…

Signal Processing · Electrical Eng. & Systems 2023-02-01 Yubo Wan , An Liu , Rui Du , Tony Xiao Han

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
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