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Minimum mean squared error (MMSE) estimators of signals from samples corrupted by jitter (timing noise) and additive noise are nonlinear, even when the signal prior and additive noise have normal distributions. This paper develops a…

应用统计 · 统计学 2015-03-24 Daniel S. Weller , Vivek K Goyal

The maximum likelihood detection rule for a four-dimensional direct-detection optical front-end is derived. The four dimensions are two intensities and two differential phases. Three different signal processing algorithms, composed of…

信息论 · 计算机科学 2021-05-31 Amir Tasbihi , Frank R. Kschischang

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…

信号处理 · 电气工程与系统科学 2018-11-08 Bruno Mériaux , Xin Zhang , Mohammed Nabil El Korso , Marius Pesavento

The Latent Block Model (LBM) is a model-based method to cluster simultaneously the $d$ columns and $n$ rows of a data matrix. Parameter estimation in LBM is a difficult and multifaceted problem. Although various estimation strategies have…

统计理论 · 数学 2020-02-26 Vincent Brault , Christine Keribin , Mahendra Mariadassou

Likelihood-free inference methods typically make use of a distance between simulated and real data. A common example is the maximum mean discrepancy (MMD), which has previously been used for approximate Bayesian computation, minimum…

统计方法学 · 统计学 2023-05-11 Ayush Bharti , Masha Naslidnyk , Oscar Key , Samuel Kaski , François-Xavier Briol

We reexamine the results presented in a recent work by Nielsen et al. [1], in which the properties of the noise residuals in the 40\,ms chirp domain of GW150914 were investigated. This paper confirmed the presence of strong (i.e., about…

天体物理仪器与方法 · 物理学 2019-05-15 Andrew D. Jackson , Hao Liu , Pavel Naselsky

Superconducting nanowire single-photon detectors (SNSPDs) are a leading detector type for time correlated single photon counting, especially in the near-infrared. When operated at high count rates, SNSPDs exhibit increased timing jitter…

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…

信号处理 · 电气工程与系统科学 2020-08-31 P. Vishnu , C. S. Ramalingam

This paper aims to devise a generalized maximum likelihood (ML) estimator to robustly detect signals with unknown noise statistics in multiple-input multiple-output (MIMO) systems. In practice, there is little or even no statistical…

机器学习 · 计算机科学 2021-01-22 Ke He , Le He , Lisheng Fan , Yansha Deng , George K. Karagiannidis , Arumugam Nallanathan

We present a consistent method to calculate the probability distribution of soliton parameters in systems with additive noise. Even though a weak noise is considered, we are interested in probabilities of large fluctuations (generally…

混沌动力学 · 物理学 2009-10-31 G. Falkovich , I. Kolokolov , V. Lebedev , S. Turitsyn

The Compact Muon Solenoid (CMS) detector at the CERN Large Hadron Collider (LHC) is undergoing an extensive Phase II upgrade program to prepare for the challenging conditions of the High-Luminosity LHC (HL-LHC). A new timing layer is…

仪器与探测器 · 物理学 2018-10-02 Irene Dutta

Understanding the effect of uncertainty and noise in data on machine learning models (MLM) is crucial in developing trust and measuring performance. In this paper, a new model is proposed to quantify uncertainties and noise in data on MLMs.…

机器学习 · 计算机科学 2024-12-10 Usman Anjum , Chris Trentman , Elrod Caden , Justin Zhan

In this paper, we propose a quantum-native formulation of maximum likelihood detection (MLD) for overloaded multiple-input multiple-output (MIMO) systems in a random access channel, where numerous user terminals share the same channel…

信号处理 · 电气工程与系统科学 2026-05-20 Hyoga Iizumi , Naoki Ishikawa , Shunsuke Uehashi , Kota Nakamura , Shusaku Umeda , Toshiaki Koike-Akino

In this paper we introduce an optimized Markov Chain Monte Carlo (MCMC) technique for solving the integer least-squares (ILS) problems, which include Maximum Likelihood (ML) detection in Multiple-Input Multiple-Output (MIMO) systems. Two…

We study the effect of noise on the dynamics of passively mode-locked semiconductor lasers both experimentally and theoretically. A method combining analytical and numerical approaches for estimation of pulse timing jitter is proposed. We…

光学 · 物理学 2016-10-25 A. Pimenov , T. Habruseva , D. Rachinskii , S. P. Hegarty , G. Huyet , A. G. Vladimirov

In Change point detection task Likelihood Ratio Test (LRT) is sequentially applied in a sliding window procedure. Its high values indicate changes of parametric distribution in the data sequence. Correspondingly LRT values require…

统计理论 · 数学 2017-10-23 Nazar Buzun , Valeriy Avanesov

The multiple-input multiple-output (MIMO) detection problem, a fundamental problem in modern digital communications, is to detect a vector of transmitted symbols from the noisy outputs of a fading MIMO channel. The maximum likelihood…

最优化与控制 · 数学 2021-02-10 Ruichen Jiang , Ya-Feng Liu , Chenglong Bao , Bo Jiang

Mixed linear regression (MLR) model is among the most exemplary statistical tools for modeling non-linear distributions using a mixture of linear models. When the additive noise in MLR model is Gaussian, Expectation-Maximization (EM)…

机器学习 · 统计学 2021-05-14 Babak Barazandeh , Ali Ghafelebashi , Meisam Razaviyayn , Ram Sriharsha

The paper studies large sample asymptotic properties of the Maximum Likelihood Estimator (MLE) for the parameter of a continuous time Markov chain, observed in white noise. Using the method of weak convergence of likelihoods due to…

概率论 · 数学 2009-06-18 Pavel Chigansky

We focus on the signal detection for large quasi-symmetric (LQS) multiple-input multiple-output (MIMO) systems, where the numbers of both service (M) and user (N) antennas are large and N/M tends to 1. It is challenging to achieve…

信息论 · 计算机科学 2023-08-25 Jiuyu Liu , Yi Ma , Rahim Tafazolli