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Related papers: A revisit to the GNSS-R code range precision

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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

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

In this paper, the problem of training signal design for intelligent reflecting surface (IRS)-assisted millimeter-wave (mmWave) communication under a sparse channel model is considered. The problem is approached based on the…

Information Theory · Computer Science 2020-12-29 Song Noh , Heejung Yu , Youngchul Sung

The problem on the Cramer-Rao Lower Bounds (CRLBs) for the joint time delay and Doppler stretch estimation of an extended target is considered in this paper. The integral representations of the CRLBs for both the time delay and the Doppler…

Signal Processing · Electrical Eng. & Systems 2018-08-30 Tong Zhao , Tianyao Huang

In this letter, we develop a unified Cram\'{e}r-Rao bound (CRB) framework to characterize the fundamental performance limits of transmission activity detection in fluid antenna systems (FASs) and conventional multiple fixed-position antenna…

Information Theory · Computer Science 2026-04-22 Zhentian Zhang , Kai-Kit Wong , Hao Jiang , Christos Masouros , Chan-Byoung Chae

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

In this paper, we propose multi-input multi-output (MIMO) beamforming designs towards joint radar sensing and multi-user communications. We employ the Cram\'er-Rao bound (CRB) as a performance metric of target estimation, under both point…

Signal Processing · Electrical Eng. & Systems 2022-01-26 Fan Liu , Ya-Feng Liu , Ang Li , Christos Masouros , Yonina C. Eldar

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 focuses on radar waveform optimization for minimizing the Cram\'er-Rao bound (CRB) in a multiple-input multiple-output (MIMO) radar system. In contrast to conventional approaches relying on semi-definite programming (SDP) and…

Signal Processing · Electrical Eng. & Systems 2024-09-20 Xiaohua Zhou , Xu Du , Yijie Mao

A method has been developed for precision measurement of the gravitational frequency shift of communication radio signals between the spacecraft and the ground tracking station based on the maximum likelihood principle, using the Rao-Cramer…

General Relativity and Quantum Cosmology · Physics 2021-12-22 A. V. Belonenko , A. V. Gusev , V. N. Rudenko

We consider the problem of carrier frequency offset (CFO) estimation for a two-way relaying system based on the amplify-and-forward (AF) protocol. Our contributions are in designing an optimal preamble, and the corresponding estimator, to…

Information Theory · Computer Science 2012-08-17 Chin Keong Ho , Patrick Ho Wang Fung , Sumei Sun

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 deals with the design of slow-time coded waveforms which jointly optimize the detection probability and the measurements accuracy for track maintenance in the presence of colored Gaussian interference. The output…

Signal Processing · Electrical Eng. & Systems 2025-12-08 Tao Fan , Augusto Aubry , Vincenzo Carotenuto , Antonio De Maio , Xianxiang Yu , Guolong Cui

The maximum-marginal-a-posteriori success rate of statistical decision under multivariate Gaussian error distribution on an integer lattice is almost rigorously calculated by using union-bound approximation and Monte Carlo integration.…

Information Theory · Computer Science 2007-07-13 Kentaro Kondo

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

This paper focusses on the sparse estimation in the situation where both the the sensing matrix and the measurement vector are corrupted by additive Gaussian noises. The performance bound of sparse estimation is analyzed and discussed in…

Information Theory · Computer Science 2015-06-12 Yujie Tang , Laming Chen , Yuantao Gu

In this paper, we consider a multiple-input multiple-output (MIMO) radar system for localizing a target based on its reflected echo signals. Specifically, we aim to estimate the random and unknown angle information of the target, by…

Information Theory · Computer Science 2023-05-16 Chan Xu , Shuowen Zhang

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 revisit the problem of computing submatrices of the Cram\'er-Rao bound (CRB), which lower bounds the variance of any unbiased estimator of a vector parameter $\vth$. We explore iterative methods that avoid direct inversion of the Fisher…

Information Theory · Computer Science 2015-06-04 Paul Tune

Millimeter wave signals and large antenna arrays are considered enabling technologies for future 5G networks. While their benefits for achieving high-data rate communications are well-known, their potential advantages for accurate…

Information Theory · Computer Science 2018-10-12 Arash Shahmansoori , Gabriel E. Garcia , Giuseppe Destino , Gonzalo Seco-Granados , Henk Wymeersch