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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 consider estimation of a single unknown parameter embedded in a quantum state. Quantum Cram\'er-Rao bound (QCRB) is the ultimate limit of the mean squared error for any unbiased estimator. While it can be achieved asymptotically for a…

Quantum Physics · Physics 2026-05-06 Zihao Gong , Boulat A. Bash

Ensuring secure and reliable operations of the power grid is a primary concern of system operators. Phasor measurement units (PMUs) are rapidly being deployed in the grid to provide fast-sampled operational data that should enable quicker…

Signal Processing · Electrical Eng. & Systems 2019-11-15 Christopher Hannon , Deepjyoti Deka , Dong Jin , Marc Vuffray , Andrey Y. Lokhov

We consider the design of cognitive Medium Access Control (MAC) protocols enabling an unlicensed (secondary) transmitter-receiver pair to communicate over the idle periods of a set of licensed channels, i.e., the primary network. The…

Networking and Internet Architecture · Computer Science 2008-10-09 Omar Mehanna , Ahmed Sultan , Hesham El Gamal

A significant portion of the literature on fault localization assumes (more or less explicitly) that there are sufficient reliable measurements to guarantee that the system is observable. While several heuristics exist to break the…

Systems and Control · Computer Science 2018-09-12 Mahdi Jamei , Anna Scaglione , Sean Peisert

This study proposes a method for estimating the mechanical parameters of vehicles and bridges and the road unevenness, using only vehicle vibration and position data. In the proposed method, vehicle input and bridge vibration are estimated…

Signal Processing · Electrical Eng. & Systems 2022-01-21 Kyosuke Yamamoto , Kakeru Murakami , Ryota Shin , Yukihiko Okada

In this paper, we propose a kinetic model of traffic flow with uncertain binary interactions, which explains the scattering of the fundamental diagram in terms of the macroscopic variability of aggregate quantities, such as the mean speed…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Andrea Tosin , Mattia Zanella

The rapid urbanization and increasing traffic have serious social, economic, and environmental impact on metropolitan areas worldwide. It is of a great importance to understand the complex interplay of road networks and traffic conditions.…

Other Computer Science · Computer Science 2018-10-31 Weizi Li , Meilei Jiang , Yaoyu Chen , Ming C. Lin

The widely used quantum Cramer-Rao bound (QCRB) sets a lower bound for the mean square error of unbiased estimators in quantum parameter estimation, however, in general QCRB is only tight in the asymptotical limit. With a limited number of…

Quantum Physics · Physics 2016-09-07 Jing Liu , Haidong Yuan

In this work, we utilized the methodology outlined in the IEEE Standard 2846-2022 for "Assumptions in Safety-Related Models for Automated Driving Systems" to extract information on the behavior of other road users in driving scenarios. This…

Robotics · Computer Science 2025-03-19 Novel Certad , Sebastian Tschernuth , Cristina Olaverri-Monreal

The expected signature uniquely determines the law of a random rough path under a moment-growth condition, yet finite-sample bounds for estimating it from a single long dependent trajectory have been lacking. We study a stationary…

Statistics Theory · Mathematics 2026-05-21 Bryson Schenck

Mobility entropy is proposed to measure predictability of human movements, based on which, the upper and lower bound of prediction accuracy is deduced, but corresponding mathematical expressions of prediction accuracy keeps yet open. In…

Social and Information Networks · Computer Science 2019-01-29 Lu Liu , Wuyang Zhou , Sihai Zhang , Wei Cai

The performance of near-field sensing (NISE) in a legacy wideband multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) communication system is analyzed. The maximum likelihood estimates (MLE) for the…

Information Theory · Computer Science 2025-06-13 Zhaolin Wang , Xidong Mu , Yuanwei Liu

Multi-user MIMO enhances throughput by simultaneously transmitting/receiving parallel data streams to/from a group of users. However, the throughput analysis does not ac-count for variable data traffic. The research objective of this…

Networking and Internet Architecture · Computer Science 2021-08-10 Peshal Nayak

The spherically invariant random process (SIRP) clutter model is commonly used in scenarios where the radar clutter cannot be correctly modeled as a Gaussian process. In this short communication, we devise a novel Maximum-Likelihood…

Signal Processing · Electrical Eng. & Systems 2018-11-08 Bruno Mériaux , Xin Zhang , Mohammed Nabil El Korso , Marius Pesavento

Massive multiple-input multiple-output (MIMO) promises significantly higher performance relative to conventional multiuser systems. However, the promised gains of massive MIMO systems rely heavily on the accuracy of the absolute front-end…

Information Theory · Computer Science 2020-02-26 Guoda Tian , Harsh Tataria , Fredrik Tufvesson

We present a general problem formulation for optimal parameter estimation based on quantized observations, with application to antenna array communication and processing (channel estimation, time-of-arrival (TOA) and direction-of-arrival…

Information Theory · Computer Science 2010-10-28 Amine Mezghani , Felix Antreich , Josef A. Nossek

We consider a one-dimensional diffusion process $(X_t)$ which is observed at $n+1$ discrete times with regular sampling interval $\Delta$. Assuming that $(X_t)$ is strictly stationary, we propose nonparametric estimators of the drift and…

Statistics Theory · Mathematics 2009-09-29 Fabienne Comte , Valentine Genon-Catalot , Yves Rozenholc

The problem of the mean-square optimal linear estimation of functionals which depend on the unknown values of a stationary stochastic sequence from observations of the sequence with noise is considered. In the case of spectral certainty,…

Statistics Theory · Mathematics 2024-06-25 Maksym Luz , Mikhail Moklyachuk

Accurate understanding and forecasting of traffic is a key contemporary problem for policymakers. Road networks are increasingly congested, yet traffic data is often expensive to obtain, making informed policy-making harder. This paper…

Computers and Society · Computer Science 2019-07-12 Chico Q. Camargo , Jonathan Bright , Graham McNeill , Sridhar Raman , Scott A. Hale