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In this paper, we tackle for the first time the problem of maximum likelihood (ML) estimation of the signal-to-noise ratio (SNR) parameter over time-varying single-input multiple-output (SIMO) channels. Both the data-aided (DA) and the…

Applications · Statistics 2014-11-19 Faouzi Bellili , Rabii Meftehi , Sofiene Affes , Alex Stephenne

Empirical results show that Anderson acceleration (AA) can be a powerful mechanism to improve the asymptotic linear convergence speed of the Alternating Direction Method of Multipliers (ADMM) when ADMM by itself converges linearly. However,…

Optimization and Control · Mathematics 2020-12-01 Dawei Wang , Yunhui He , Hans De Sterck

A robust and sparse Direction of Arrival (DOA) estimator is derived for array data that follows a Complex Elliptically Symmetric (CES) distribution with zero-mean and finite second-order moments. The derivation allows to choose the loss…

Statistics Theory · Mathematics 2023-07-31 Christoph F. Mecklenbräuker , Peter Gerstoft , Esa Ollila , Yongsung Park

This paper studies the positioning problem based on two-way time-of-arrival (TW-TOA) measurements in asynchronous wireless sensor networks. Since the optimal estimator for this problem involves difficult nonconvex optimization, we propose…

Applications · Statistics 2014-07-23 Mohammad Reza Gholami , Sinan Gezici , Erik G. Ström

We propose a class of convex relaxations to solve the sensor network localization problem, based on a maximum likelihood (ML) formulation. This class, as well as the tightness of the relaxations, depends on the noise probability density…

Information Theory · Computer Science 2017-09-18 Andrea Simonetto , Geert Leus

We consider the estimation of three-dimensional (3D) radar parameters, namely, bearing or angle-of-arrival (AoA), delay or range, and Doppler shift velocity, under a mono-static multiple-input multiple-output (MIMO) joint communications and…

Signal Processing · Electrical Eng. & Systems 2024-05-29 Kuranage Roche Rayan Ranasinghe , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu

Accurately determining the origin of radio emissions is essential for numerous scientific experiments, particularly in radio astronomy. Conventional techniques, such as the use of antenna arrays encounter significant challenges, specially…

Applied Physics · Physics 2024-10-01 Harsha Aviansh Tanti , Abhirup Datta , Tiasha Biswas , Anshuman Tripathi

Linear thresholding models postulate that the conditional distribution of a response variable in terms of covariates differs on the two sides of a (typically unknown) hyperplane in the covariate space. A key goal in such models is to learn…

Statistics Theory · Mathematics 2021-10-01 Debarghya Mukherjee , Moulinath Banerjee , Debasri Mukherjee , Ya'acov Ritov

Motivated by sensing modalities in modern autonomous systems that involve hardware-constrained spatial sampling over large arrays with limited coherence time, we develop a novel framework for rapid super-resolution multi-signal…

Machine Learning · Computer Science 2026-05-19 Georgios I. Orfanidis , Dimitris A. Pados , George Sklivanitis , Elizabeth S. Bentley

This work analyzes the asymptotic performances of fully distributed sequential hypothesis testing procedures as the type-I and type-II error rates approach zero, in the context of a sensor network without a fusion center. In particular, the…

Applications · Statistics 2018-04-17 Shang Li , Xiaodong Wang

A variance reduction technique in nonparametric smoothing is proposed: at each point of estimation, form a linear combination of a preliminary estimator evaluated at nearby points with the coefficients specified so that the asymptotic bias…

Statistics Theory · Mathematics 2007-08-22 Ming-Yen Cheng , Liang Peng , Jyh-Shyang Wu

A popular method to estimate the positions or directions-of-arrival (DOAs) of multiple sound sources using an array of microphones is based on steered-response power (SRP) beamforming. For a three-dimensional scenario, SRP-based methods…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-21 Klaus Brümann , Simon Doclo

In this paper, we study the functional linear multiplicative model based on the least product relative error criterion. Under some regularization conditions, we establish the consistency and asymptotic normality of the estimator. Further,…

Statistics Theory · Mathematics 2023-01-04 Qian Yan , Hanyu Li

The challenging problem of non-line-of-sight (NLOS) localization is critical for many wireless networking applications. The lack of available datasets has made NLOS localization difficult to tackle with ML-driven methods, but recent…

Networking and Internet Architecture · Computer Science 2024-10-28 Rafayel Darbinyan , Hrant Khachatrian , Rafayel Mkrtchyan , Theofanis P. Raptis

Efficient remote monitoring of distributed sources is essential for many Internet of Things (IoT) applications. This work studies the uncertainty at the receiver when tracking two-state Markov sources over a slotted random access channel…

Information Theory · Computer Science 2025-02-04 Andrea Munari

Motivated by studying asymptotic properties of the maximum likelihood estimator (MLE) in stochastic volatility (SV) models, in this paper we investigate likelihood estimation in state space models. We first prove, under some regularity…

Statistics Theory · Mathematics 2010-11-15 Cheng-Der Fuh

This letter investigates the non-coherent Direction of Arrival (DOA) estimation problem dealing with the DOA estimation from magnitude only measurements of the array output. The magnitude squared of the array output is expanded as a…

Applications · Statistics 2016-06-22 Hadi Zayyani , Mehdi Korki

Optimal estimation of signal amplitude, background level, and photocentre location is crucial to the combined extraction of astrometric and photometric information from focal plane images, and in particular from the one-dimensional…

Instrumentation and Methods for Astrophysics · Physics 2017-04-05 Mario Gai , Deborah Busonero , Rossella Cancelliere

Incorporating a non-Euclidean variable metric to first-order algorithms is known to bring enhancement. However, due to the lack of an optimal choice, such an enhancement appears significantly underestimated. In this work, we establish a…

Optimization and Control · Mathematics 2023-11-21 Yifan Ran

This is Part II of a two-part work on the estimation for a multi-layer generalized linear model (ML-GLM) in large system limits. In Part I, we had analyzed the asymptotic performance of an exact MMSE estimator, and obtained a set of coupled…

Information Theory · Computer Science 2020-07-21 Qiuyun Zou , Haochuan Zhang , Hongwen Yang