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Intelligent reflecting surface (IRS) technology has recently attracted a significant interest in non-light-of-sight radar remote sensing. Prior works have largely focused on designing single IRS beamformers for this problem. For the first…

Information Theory · Computer Science 2023-03-14 Zahra Esmaeilbeig , Arian Eamaz , Kumar Vijay Mishra , Mojtaba Soltanalian

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

This paper presents a fundamental performance analysis of joint location and velocity estimation in a cell-free (CF) MIMO integrated sensing and communication (ISAC) system. Unlike prior studies that primarily rely on continuous-time signal…

Signal Processing · Electrical Eng. & Systems 2025-06-02 Guoqing Xia , Pei Xiao , Qu Luo , Bing Ji , Yue Zhang , Huiyu Zhou

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

The constrained Cramer-Rao bound (CCRB) is a lower bound on the mean-squared-error (MSE) of estimators that satisfy some unbiasedness conditions. Although the CCRB unbiasedness conditions are satisfied asymptotically by the constrained…

Information Theory · Computer Science 2019-02-20 Eyal Nitzan , Tirza Routtenberg , Joseph Tabrikian

This paper studies a near-field multiple-input multiple-output (MIMO) radar sensing system, in which the transceivers with massive antennas aim to localize multiple near-field targets in the three-dimensional (3D) space over unknown…

Information Theory · Computer Science 2023-08-31 Haocheng Hua , Jie Xu , Yonina C. Eldar

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

In this paper, we derive Hybrid, Bayesian and Marginalized Cram\'{e}r-Rao lower bounds (HCRB, BCRB and MCRB) for the single and multiple measurement vector Sparse Bayesian Learning (SBL) problem of estimating compressible vectors and their…

Machine Learning · Computer Science 2015-06-04 Ranjitha Prasad , Chandra R. Murthy

In this paper, we derive the information theoretic performance bounds on communication data rates and errors in parameter estimation, for a joint radar and communication (JRC) system. We assume that targets are semi-passive, i.e. they use…

Information Theory · Computer Science 2021-07-08 Ganesan Thiagarajan , Sanjeev Gurugopinath

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

-In this paper, we study Bayesian and hybrid Cramer-Rao bounds for the dynamical phase estimation of QAM modulated signals. We present the analytical expressions for the various CRBs. This avoids the calculation of any matrix inversion and…

Information Theory · Computer Science 2015-12-01 Jianxiao Yang , Benoit Geller , A Wei

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

In this paper, we derive the Cramer-Rao bound (CRB) for blind channel estimation in redundant block transmission systems, a lower bound for the mean squared error of any blind channel estimators. The derived CRB is valid for any full-rank…

Information Theory · Computer Science 2011-02-08 Yen-Huan Li , Borching Su , Ping-Cheng Yeh

Channel and frequency offset estimation is a classic topic with a large body of prior work using mainly maximum likelihood (ML) approach together with Cram\'er-Rao Lower bounds (CRLB) analysis. We provide the maximum a posteriori (MAP)…

Signal Processing · Electrical Eng. & Systems 2019-05-13 Mingda Zhou , Zhe Feng , Xinming Huang , Youjian , Liu

Movable antenna (MA) technology exhibits great promise for enhancing the sensing capabilities of future sixth-generation (6G) networks due to its capability to alter antenna array geometry. With the growing prevalence of near-field…

Information Theory · Computer Science 2025-12-30 Yushen Wang , Weidong Mei , Xin Wei , Ya Fei Wu , Zhi Chen , Boyu Ning

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

In this paper, we present a new wireless sensing system utilizing a movable antenna (MA) that continuously moves and receives sensing signals to enhance sensing performance over the conventional fixed-position antenna (FPA) sensing. We show…

Information Theory · Computer Science 2025-09-22 Wenyan Ma , Lipeng Zhu , Rui Zhang

Next generation cellular networks will experience the combination of femtocells, millimeter-wave (mm-wave) communications and massive antenna arrays. Thanks to the beamforming capability as well as the high angular resolution provided by…

Information Theory · Computer Science 2017-05-26 Anna Guerra , Francesco Guidi , Davide Dardari

The problem of estimating the parameters of a moving target in multiple-input multiple-output (MIMO) radar is considered and a new approach for estimating the moving target parameters by making use of the phase information associated with…

Information Theory · Computer Science 2015-06-04 Aboulnasr Hassanien , Sergiy A. Vorobyov , Alex B. Gershman

This paper investigates the potential of near-field localization using widely-spaced multi-subarrays (WSMSs) and analyzing the corresponding angle and range Cram\'er-Rao bounds (CRBs). By employing the Riemann sum, closed-form CRB…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Songjie Yang , Xinyi Chen , Yue Xiu , Wanting Lyu , Zhongpei Zhang , Chau Yuen