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This work is concerned with the estimation of multidimensional regression and the asymptotic behaviour of the test involved in selecting models. The main problem with such models is that we need to know the covariance matrix of the noise to…

Statistics Theory · Mathematics 2008-02-20 Joseph Rynkiewicz

We propose an intuitive, simple and hardware friendly, yet surprisingly novel and efficient, received signal's angle of arrival (AoA) estimation scheme. Our intuitive, two-phases cross-correlation based scheme relies on a switched beam…

Systems and Control · Computer Science 2014-09-22 Ahmed Badawy , Tamer Khattab , Daniele Trinchero , Tarek El Fouly , Amr Mohamed

Spatial compressive sensing (SCS) has recently been applied to direction-of-arrival (DOA) estimation owing to advantages over conventional ones. However the performance of compressive sensing (CS)-based estimation methods decreases when…

Information Theory · Computer Science 2016-01-20 Liang Liu , Ping Wei

A trigonometrically approximated maximum likelihood estimation for $\alpha$-stable laws is proposed. The estimator solves the approximated likelihood equation, which is obtained by projecting a true score function on the space spanned by…

Statistics Theory · Mathematics 2022-09-20 Muneya Matsui , Naoya Sueishi

The angle of Arrival (AoA) estimation is of great interest in modern communication systems. Traditional maximum likelihood-based iterative algorithms are sensitive to initialization and cannot be used online. We propose a Bayesian method to…

Signal Processing · Electrical Eng. & Systems 2021-10-18 Akshay Sharma , Nancy Nayak , Sheetal Kalyani

In two-way time-of-arrival (TOA) systems, a user device (UD) obtains its position by round-trip communications to a number of anchor nodes (ANs) at known locations. The objective function of the maximum likelihood (ML) method for two-way…

Signal Processing · Electrical Eng. & Systems 2021-03-18 Sihao Zhao , Xiao-Ping Zhang , Xiaowei Cui , Mingquan Lu

Wireless sensor networks require accurate target localization, often achieved through received signal strength (RSS) localization estimation based on maximum likelihood (ML). However, ML-based algorithms can suffer from issues such as low…

Signal Processing · Electrical Eng. & Systems 2023-07-25 Weizhong Ding , Shengming Chang , Shudi Bao , Meng Chen , Jie Sun

A parameter estimation problem is considered, in which dispersed sensors transmit to the statistician partial information regarding their observations. The sensors observe the paths of continuous semimartingales, whose drifts are linear…

Methodology · Statistics 2013-02-01 Georgios Fellouris

We study asymptotic behavior of one-step weighted $M$-estimators based on samples from arrays of not necessarily identically distributed random variables and representing explicit approximations to the corresponding consistent weighted…

Statistics Theory · Mathematics 2015-07-07 Yu. Yu. Linke

We study statistical estimators computed using iterative optimization methods that are not run until completion. Classical results on maximum likelihood estimators (MLEs) assert that a one-step estimator (OSE), in which a single…

Optimization and Control · Mathematics 2021-06-28 Robert Bassett , Julio Deride

Angle-of-arrival (AoA) estimation is a crucial function in wireless communications used for localization, beam-forming, interference management, and other applications. Deep learning (DL) solutions have been proposed for AoA to mitigate…

Signal Processing · Electrical Eng. & Systems 2026-04-17 Elsayed Mohammed , Omar Mashaal , Alec Digby , Pasquale Leone , Lorne Swersky , Ashkan Eshaghbeigi , Hatem Abou-Zeid

In this paper, we consider a time-varying optimization approach to the problem of tracking a moving target using noisy time-of-arrival (TOA) measurements. Specifically, we formulate the problem as that of sequential TOA-based source…

Optimization and Control · Mathematics 2022-01-19 Yuen-Man Pun , Anthony Man-Cho So

Consider a microphone array, such as those present in Amazon Echos, conference phones, or self-driving cars. One of the goals of these arrays is to decode the angles in which acoustic signals arrive at them. This paper considers the problem…

Sound · Computer Science 2021-09-28 Yu-Lin Wei , Romit Roy Choudhury

Hybrid received signal strength (RSS)-angle of arrival (AoA)-based positioning offers low-cost distance estimation and high-resolution angular measurements. Still, it comes at a cost of inherent nonlinearities, geometry-dependent noise, and…

Signal Processing · Electrical Eng. & Systems 2026-02-19 Omid Abbassi Aghda , Slavisa Tomic , Oussama Ben Haj Belkacem , Joao Guerreiro , Nuno Souto , Michal Szczachor , Rui Dinis

We consider the problem of estimating a smooth functional of an unknown signal with discontinuity from Gaussian observations. The signal is a known function that depends on an unknown parameter. This problem is closely related to the famous…

Statistics Theory · Mathematics 2011-12-19 Farida Enikeeva

The maximum likelihood estimator (MLE) is pivotal in statistical inference, yet its application is often hindered by the absence of closed-form solutions for many models. This poses challenges in real-time computation scenarios,…

Methodology · Statistics 2025-04-16 Pedro L. Ramos , Eduardo Ramos , Francisco A. Rodrigues , Francisco Louzada

An asymptotically optimal blind calibration scheme of uniform linear arrays for narrowband Gaussian signals is proposed. Rather than taking the direct Maximum Likelihood (ML) approach for joint estimation of all the unknown model…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Amir Weiss , Arie Yeredor

In this manuscript we consider the well-established problem of TDOA-based source localization and propose a comprehensive analysis of its solutions for arbitrary sensor measurements and placements. More specifically, we define the TDOA map…

Mathematical Physics · Physics 2014-02-13 Marco Compagnoni , Roberto Notari , Fabio Antonacci , Augusto Sarti

In nonlinear deterministic parameter estimation, the maximum likelihood estimator (MLE) is unable to attain the Cramer-Rao lower bound at low and medium signal-to-noise ratios (SNR) due the threshold and ambiguity phenomena. In order to…

Applications · Statistics 2015-06-19 Achraf Mallat , Sinan Gezici , Davide Dardari , Christophe Craeye , Luc Vandendorpe

To fast approximate maximum likelihood estimators with massive data, this paper studies the Optimal Subsampling Method under the A-optimality Criterion (OSMAC) for generalized linear models. The consistency and asymptotic normality of the…

Methodology · Statistics 2021-06-15 Mingyao Ai , Jun Yu , Huiming Zhang , HaiYing Wang