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Estimating the frequencies of multiple sinusoids in the presence of AWGN and when the data record is short is commonly accomplished by subspace-based methods such as ESPRIT, MUSIC, Min-Norm, etc. These methods do not assume that the data…

Signal Processing · Electrical Eng. & Systems 2020-08-31 P. Vishnu , C. S. Ramalingam

This paper presents an efficient method for computing maximum likelihood (ML) direction of arrival (DOA) estimates assuming unknown sensor noise powers. The method combines efficient Alternate Projection (AP) procedures with Newton…

Information Theory · Computer Science 2020-01-08 J. Selva

Sinusoidal parameter estimation is a computationally-intensive task, which can pose problems for real-time implementations. In this paper, we propose a low-complexity iterative method for estimating sinusoidal parameters that is based on…

Maximum likelihood (ML) detection is an optimal signal detection scheme, which is often difficult to implement due to its high computational complexity, especially in a multiple-input multiple-output (MIMO) scenario. In a system with $N_t$…

Information Theory · Computer Science 2022-08-16 Sharan Mourya , Amit Kumar Dutta

Stochastic Maximum Likelihood (SML) is a popular direction of arrival (DOA) estimation technique in array signal processing. It is a parametric method that jointly estimates signal and instrument noise by maximum likelihood, achieving…

Applications · Statistics 2021-02-04 Matthieu Simeoni , Paul Hurley

With fluid antenna system (FAS) gradually establishing itself as a possible enabling technology for next generation wireless communications, channel estimation for FAS has become a pressing issue. Existing methodologies however face…

Signal Processing · Electrical Eng. & Systems 2025-07-09 Zhen Chen , Jianqing Li , Xiu Yin Zhang , Kai-Kit Wong , Chan-Byoung Chae , Yangyang Zhang

After decades of research in Direction of Arrival (DoA) estimation, today Maximum Likelihood (ML) algorithms still provide the best performance in terms of resolution capabilities. At the cost of a multidimensional search, ML algorithms…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Xavier Mestre , Pascal Vallet

The problem of clock offset estimation in a two way timing message exchange regime is considered when the likelihood function of the observation time stamps is Gaussian, exponential or log-normally distributed. A parametrized solution to…

Information Theory · Computer Science 2012-02-01 Aitzaz Ahmad , Davide Zennaro , Erchin Serpedin , Lorenzo Vangelista

Maximum likelihood (ML) estimation using Newton's method in nonlinear state space models (SSMs) is a challenging problem due to the analytical intractability of the log-likelihood and its gradient and Hessian. We estimate the gradient and…

Computation · Statistics 2016-03-11 Manon Kok , Johan Dahlin , Thomas B. Schön , Adrian Wills

Statistical inference of multiple parameters often involves a preliminary parameter selection stage. The selection stage has an impact on subsequent estimation, for example by introducing a selection bias. The post-selection maximum…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Nadav Harel , Tirza Routtenberg

We present a novel barycentric interpolation algorithm designed for analytic functions $f\in\mathcal{A}(E)$ defined on the complex plane. The algorithm, which encompasses both polynomial and rational interpolation, is tailored to handle…

Numerical Analysis · Mathematics 2024-07-23 Kelong Zhao , shuhuang Xiang

In this paper, we address the identification problem for the systems characterized by linear time-invariant dynamics with bilinear observation models. More precisely, we consider a suitable parametric description of the system and formulate…

Systems and Control · Electrical Eng. & Systems 2025-02-24 Diyou Liu , Mohammad Khosravi

Maximum-likelihood (ML) decoding for arbitrary block codes remains fundamentally hard, with worst-case time complexity-measured by the total number of multiplications-being no better than straightforward exhaustive search, which requires…

Information Theory · Computer Science 2026-01-21 Hoang Ly , Emina Soljanin , Michael Schleppy

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

Machine Learning (ML) research has focused on maximizing the accuracy of predictive tasks. ML models, however, are increasingly more complex, resource intensive, and costlier to deploy in resource-constrained environments. These issues are…

Machine Learning · Computer Science 2022-10-31 Yanbo Xu , Alind Khare , Glenn Matlin , Monish Ramadoss , Rishikesan Kamaleswaran , Chao Zhang , Alexey Tumanov

Maximum Likelihood (ML) algorithms, for the joint estimation of synchronization impairments and channel in Multiple Input Multiple Output-Orthogonal Frequency Division Multiplexing (MIMO-OFDM) system, are investigated in this work. A system…

Information Theory · Computer Science 2012-10-30 Renu Jose , K. V. S. Hari

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

Machine Learning · Statistics 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

We study the problem of signal source localization using received signal strength measurements. We begin by presenting verifiable geometric conditions for sensor deployment that ensure the model's asymptotic localizability. Then we…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Shenghua Hu , Guangyang Zeng , Wenchao Xue , Haitao Fang , Junfeng Wu , Biqiang Mu

Based on the notion of supercodes, we propose a two-phase maximum-likelihood soft-decision decoding (tpMLSD) algorithm for binary linear block codes in this work. The first phase applies the Viterbi algorithm backwardly to a trellis derived…

Information Theory · Computer Science 2014-08-07 Yunghsiang S. Han , Hung-Ta Pai , Po-Ning Chen , Ting-Yi Wu

In this paper, a nonparametric maximum likelihood (ML) estimator for band-limited (BL) probability density functions (pdfs) is proposed. The BLML estimator is consistent and computationally efficient. To compute the BLML estimator, three…

Machine Learning · Statistics 2015-06-30 Rahul Agarwal , Zhe Chen , Sridevi V. Sarma
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