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We consider the probability of having two intervals (gaps) without eigenvalues in the bulk scaling limit of the Gaussian Unitary Ensemble of random matrices. We describe uniform asymptotics for the transition between a single large gap and…

Functional Analysis · Mathematics 2020-03-19 Benjamin Fahs , Igor Krasovsky

We study the problem of estimating a rank-1 additive deformation of a Gaussian tensor according to the \emph{maximum-likelihood estimator} (MLE). The analysis is carried out in the sparse setting, where the underlying signal has a support…

Information Theory · Computer Science 2021-01-26 Luca Corinzia , Paolo Penna , Wojciech Szpankowski , Joachim M. Buhmann

We consider the problem of performing ranging measurements between a source and multiple receivers efficiently and accurately, as required by distance-based wireless localization systems. To this end, a new multipoint ranging algorithm is…

Optimization and Control · Mathematics 2014-08-15 Omotayo Oshiga , Stefano Severi , Giuseppe Abreu

We study three estimators for the interval censoring case 2 problem, a histogram-type estimator, proposed in Birg\'e (1999), the maximum likelihood estimator (MLE) and the smoothed MLE, using a smoothing kernel. Our focus is on the…

Statistics Theory · Mathematics 2011-12-13 Piet Groeneboom , Tom Ketelaars

In this paper, we consider the problem of automatic modulation classification with multiple sensors in the presence of unknown time offset, phase offset and received signal amplitude. We develop a novel hybrid maximum likelihood (HML)…

Other Computer Science · Computer Science 2015-02-05 O. Ozdemir , T. Wimalajeewa , B. Dulek , P. K. Varshney , W. Su

Wireless devices inherently have a non-uniform distribution of energy from their antenna or antennas. The shape that this forms is commonly called a radiation pattern or antenna pattern. We demonstrate that orientation can be estimated…

Systems and Control · Electrical Eng. & Systems 2022-03-21 Thomas Burton , Kasper Rasmussen

The long time effect of nonlinear perturbation to oscillatory linear systems can be characterized by the averaging method, and we consider first-order averaging for its simplest applicability to high-dimensional problems. Instead of the…

Classical Analysis and ODEs · Mathematics 2018-12-05 Molei Tao

We consider the problem of signal estimation in a generalized linear model (GLM). GLMs include many canonical problems in statistical estimation, such as linear regression, phase retrieval, and 1-bit compressed sensing. Recent work has…

Information Theory · Computer Science 2024-10-29 Pablo Pascual Cobo , Kuan Hsieh , Ramji Venkataramanan

High-mobility wireless communications have received a lot of attentions in the past few years. In this paper, we consider angle-domain Doppler shifts compensation scheme to reduce the channel time variation for the high-mobility uplink from…

Signal Processing · Electrical Eng. & Systems 2019-02-22 Zhinan Hu , Weile Zhang

We propose a new antenna selection scheme for a massive MIMO system with a single user terminal and a base station with a large number of antennas. We consider a practical scenario where there is a realistic correlation among the antennas…

Information Theory · Computer Science 2015-07-09 De Mi , Mehrdad Dianati , Sami Muhaidat , Yan Chen

Millimeter wave signals with multiple transmit and receive antennas are considered as enabling technology for enhanced mobile broadband services in 5G systems. While this combination is mainly associated with achieving high data rates, it…

Information Theory · Computer Science 2018-08-03 Rico Mendrzik , Henk Wymeersch , Gerhard Bauch

This paper develops an asymptotic likelihood theory for triangular arrays of stationary Gaussian time series depending on a multidimensional unknown parameter. We give sufficient conditions for the associated sequence of statistical models…

Statistics Theory · Mathematics 2025-11-14 Carsten H. Chong , Fabian Mies

Location-based services in a wireless network require nodes to know their locations accurately. Conventional solutions rely on contention-based medium access, where only one node can successfully transmit at any time in any neighborhood. In…

Networking and Internet Architecture · Computer Science 2013-09-10 Ming Gan , Dongning Guo , Xuchu Dai

If the log likelihood is approximately quadratic with constant Hessian, then the maximum likelihood estimator (MLE) is approximately normally distributed. No other assumptions are required. We do not need independent and identically…

Statistics Theory · Mathematics 2012-07-06 Charles J. Geyer

The authors recently proposed a MIMO radar system that is implemented by a small wireless network. By applying compressive sensing (CS) at the receive nodes, the MIMO radar super-resolution can be achieved with far fewer observations than…

Information Theory · Computer Science 2009-12-08 Yao Yu , Athina P. Petropulu , H. Vincent Poor

In this paper, we consider a general distributed estimation problem in relay-assisted sensor networks by taking into account time-varying asymmetric communications, fading channels and intermittent measurements. Motivated by centralized…

Information Theory · Computer Science 2016-04-20 Shanying Zhu , Yeng Chai Soh , Lihua Xie

This work studies the properties of the maximum likelihood estimator (MLE) of a non-linear model with Gaussian errors and multidimensional parameter. The observations are collected in a two-stage experimental design and are dependent since…

Statistics Theory · Mathematics 2019-11-01 Nancy Flournoy , Caterina May , Chiara Tommasi

We present a sensing scheme for estimating the frequency difference of two non-entangled photons. The technique consists of time-resolving sampling measurements at the output of a beam splitter. With this protocol, the frequency shift…

Quantum Physics · Physics 2025-12-10 Luca Maggio , Danilo Triggiani , Paolo Facchi , Vincenzo Tamma

Distributed massive multiple-input multiple-output networks utilize a large number of distributed access points (APs) to serve multiple user equipments (UEs), offering significant potential for both communication and localization. However,…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Yibo Wu , Musa Furkan Keskin , Ulf Gustavsson , Gonzalo Seco-Granados , Erik G. Larsson , Henk Wymeersch

This paper is concerned with general nonlinear regression models where the predictor variables are subject to Berkson-type measurement errors. The measurement errors are assumed to have a general parametric distribution, which is not…

Statistics Theory · Mathematics 2009-08-21 Liqun Wang
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