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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

LiDAR-based localization and mapping is one of the core components in many modern robotic systems due to the direct integration of range and geometry, allowing for precise motion estimation and generation of high quality maps in real-time.…

Robotics · Computer Science 2022-08-02 Julian Nubert , Etienne Walther , Shehryar Khattak , Marco Hutter

Decentralized stochastic optimization has emerged as a fundamental paradigm for large-scale machine learning. However, practical implementations often rely on biased gradient estimators arising from communication compression or inexact…

Optimization and Control · Mathematics 2026-04-10 Qing Xu , Yiwei Liao , Wenqi Fan , Xingxing You , Songyi Dian

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

We present novel lower bounds on the localization error using a network of satellites randomly deployed on a sphere around Earth. Our new analysis approach characterizes the localization performance by its asymptotic behavior as the number…

Signal Processing · Electrical Eng. & Systems 2022-06-08 Hodaya Halevi , Itsik Bergel , Yair Noam

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

Autonomous driving and advanced active safety features require accurate high-resolution sensing capabilities. Automotive radars are the key component of the vehicle sensing suit. However, when these radars operate in proximity to flat…

Signal Processing · Electrical Eng. & Systems 2023-05-15 Moshe Levy-Israel , Igal Bilik , Joseph Tabrikian

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

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

Leveraging the advanced functionalities of modern radio frequency (RF) modeling and simulation tools, specifically designed for adaptive radar processing applications, this paper presents a data-driven approach to improve accuracy in radar…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Shyam Venkatasubramanian , Sandeep Gogineni , Bosung Kang , Ali Pezeshki , Muralidhar Rangaswamy , Vahid Tarokh

The potentials of automotive radar for autonomous driving have not been fully exploited. We present a multi-input multi-output (MIMO) radar transmit and receive signal processing chain, a knowledge-aided approach exploiting the radar domain…

Signal Processing · Electrical Eng. & Systems 2021-11-03 Ruxin Zheng , Shunqiao Sun , David Scharff , Teresa Wu

In many estimation theory and statistical analysis problems, the true data model is unknown, or partially unknown. To describe the model generating the data, parameterized models of some degree are used. A question that arises is which…

Signal Processing · Electrical Eng. & Systems 2025-04-08 Nadav E. Rosenthal , Joseph Tabrikian

We extend the traditional framework for estimating subspace bases that maximize the preserved signal energy to additionally preserve the Cram\'er-Rao bound (CRB) of the biophysical parameters and, ultimately, improve accuracy and precision…

Medical Physics · Physics 2025-10-28 Andrew Mao , Sebastian Flassbeck , Cem Gultekin , Jakob Assländer

The recent trend for extremely massive antenna arrays and high frequencies facilitates localization and sensing, offering increased angular and range resolution. In this letter, we focus on the emerging technology of Dynamic Metasurface…

Signal Processing · Electrical Eng. & Systems 2025-02-25 Ioannis Gavras , George C. Alexandropoulos

Radar uncertainty principle indicates that there is an inherent invariance in the product of the time-delay and Doppler-shift measurement accuracy and resolution which can be tuned by the waveform at transmitter. In this paper, based on the…

Signal Processing · Electrical Eng. & Systems 2019-01-24 Seyed MohammadReza Hosseini , Afshin Isazadeh , Ali Noroozi , Mohammad Ali Sebt

The performance of a deep neural network is highly dependent on its training, and finding better local optimal solutions is the goal of many optimization algorithms. However, existing optimization algorithms show a preference for descent…

Computer Vision and Pattern Recognition · Computer Science 2019-12-06 Huangxing Lin , Weihong Zeng , Xinghao Ding , Yue Huang , Chenxi Huang , John Paisley

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

Waveform sampling systems are used pervasively in the design of front end electronics for radiation detection. The introduction of new feature extraction algorithms (eg. neural networks) to waveform sampling has the great potential to…

Data Analysis, Statistics and Probability · Physics 2021-09-23 Pengcheng Ai , Zhi Deng , Yi Wang , Linmao Li

Mixed-resolution architectures, combining high-resolution (analog) data with coarsely quantized (e.g., 1-bit) data, are widely employed in emerging communication and radar systems to reduce hardware costs and power consumption. However, the…

Signal Processing · Electrical Eng. & Systems 2025-08-29 Yaniv Mazor , Tirza Routtenberg

In this work, we address a foundational question in the theoretical analysis of the Deep Ritz Method (DRM) under the over-parameteriztion regime: Given a target precision level, how can one determine the appropriate number of training…

Numerical Analysis · Mathematics 2024-07-15 Yuling Jiao , Ruoxuan Li , Peiying Wu , Jerry Zhijian Yang , Pingwen Zhang