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相关论文: SNR Estimation in Linear Systems with Gaussian Mat…

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In this paper we suggest a new algorithm for determination of signal-to-noise ratio (SNR). SNR is a quantitative measure widely used in science and engineering. Generally, methods for determination of SNR are based on using of…

数据分析、统计与概率 · 物理学 2016-09-30 Z. Zh. Zhanabaev , S. N. Akhtanov , E. T. Kozhagulov , B. A Karibayev

In applications that involve sensor data, a useful measure of signal-to-noise ratio (SNR) is the ratio of the root-mean-squared (RMS) signal to the RMS sensor noise. The present paper shows that, for numerical differentiation, the…

系统与控制 · 电气工程与系统科学 2025-01-28 Shashank Verma , Mohammad Almuhaihi , Dennis S. Bernstein

Signal-to-noise ratio (SNR) statistics play a central role in many applications. A common situation where SNR is studied is when a continuous time signal is sampled at a fixed frequency with some noise in the background. While estimation…

统计方法学 · 统计学 2021-11-05 Francesco Giordano , Pietro Coretto

The sequential analysis of the problem of joint signal detection and signal-to-noise ratio (SNR) estimation for a linear Gaussian observation model is considered. The problem is posed as an optimization setup where the goal is to minimize…

信息论 · 计算机科学 2017-01-20 M. Fauß , K. G. Nagananda , A. M. Zoubir , H. V. Poor

Many multichannel systems use a linear filter to retrieve a signal of interest corrupted by noise whose statistics are partly unknown. The optimal filter in Gaussian noise requires knowledge of the noise covariance matrix $\Sigma$ and in…

信号处理 · 电气工程与系统科学 2021-08-30 Olivier Besson

In the context of the phenomenon of Stochastic Resonance (SR) we study the correlation function, the signal-to-noise ratio (SNR) and the ratio of output over input SNR, i.e. the gain, which is associated to the nonlinear response of a…

Signal-to-noise ratios (SNR) play a crucial role in various statistical models, with important applications in tasks such as estimating heritability in genomics. The method-of-moments estimator is a widely used approach for estimating SNR,…

统计理论 · 数学 2025-06-13 Xiaohan Hu , Zhentao Li , Xiaodong Li

When is optimal estimation linear? It is well known that, when a Gaussian source is contaminated with Gaussian noise, a linear estimator minimizes the mean square estimation error. This paper analyzes, more generally, the conditions for…

信息论 · 计算机科学 2015-03-19 Emrah Akyol , Kumar Viswanatha , Kenneth Rose

We consider the design of a linear sensing system with a fixed energy budget assuming that the sampling noise is the dominant noise source. The energy constraint implies that the signal energy per measurement decreases linearly with the…

信号处理 · 电气工程与系统科学 2019-05-22 Yang Lu , Wei Dai , Yonina C. Eldar

In this letter, we propose the extension of a previously presented analytical model for the estimation of the signal-to-noise ratio (SNR) at the output of an adaptive equalizer in coherent optical transmission systems when transmission is…

信息论 · 计算机科学 2022-02-24 Giuseppe Rizzelli , Pablo Torres Ferrera , Roberto Gaudino

Scanning Electron Microscopy (SEM) images often suffer from noise contamination, which degrades image quality and affects further analysis. This research presents a complete approach to estimate their Signal-to-Noise Ratio (SNR) and noise…

机器学习 · 计算机科学 2025-10-10 D. Chee Yong Ong , I. Bukhori , K. S. Sim , K. Beng Gan

Signal to Noise Ratio (SNR) is an important index for wireless communications. In CDMA systems, spreading sequences are utilized. This series of papers show the method to derive spreading sequences as the solutions of the non-linear…

信息论 · 计算机科学 2016-12-28 Hirofumi Tsuda , Ken Umeno

We study a seemingly unexpected and relatively less understood overfitting aspect of a fundamental tool in sparse linear modeling - best subset selection, which minimizes the residual sum of squares subject to a constraint on the number of…

统计方法学 · 统计学 2022-01-11 Rahul Mazumder , Peter Radchenko , Antoine Dedieu

Noise radars can be understood in terms of a correlation coefficient which characterizes their detection performance. Although most results in the literature are stated in terms of the signal-to-noise ratio (SNR), we show that it is…

信号处理 · 电气工程与系统科学 2022-04-19 David Luong , Bhashyam Balaji , Sreeraman Rajan

Signal-to-noise ratio (SNR) estimation is an important parameter that is required in any receiver or communication systems. It can be computed either by a pilot signal data-aided approach in which the transmitted signal would be known to…

信号处理 · 电气工程与系统科学 2018-10-24 Tara Salman , Ahmed Badawy , Tarek M. Elfouly , Tamer Khattab , Amr Mohamed

In this paper, we consider a statistical problem of learning a linear model from noisy samples. Existing work has focused on approximating the least squares solution by using leverage-based scores as an importance sampling distribution.…

机器学习 · 统计学 2016-02-11 Siheng Chen , Rohan Varma , Aarti Singh , Jelena Kovačević

Consider the minimum mean-square error (MMSE) of estimating an arbitrary random variable from its observation contaminated by Gaussian noise. The MMSE can be regarded as a function of the signal-to-noise ratio (SNR) as well as a functional…

信息论 · 计算机科学 2010-04-21 Dongning Guo , Yihong Wu , Shlomo Shamai , Sergio Verdu

The performance of Bayesian detection of Gaussian signals using noisy observations is investigated via the error exponent for the average error probability. Under unknown signal correlation structure or limited processing capability it is…

信息论 · 计算机科学 2009-11-11 Youngchul Sung , Lang Tong , H. Vincent Poor

We analyze the distribution of the signal to noise ratio (SNR) loss at the output of an adaptive filter which is trained with samples that do not share the same covariance matrix as the samples for which the filter is foreseen. Our…

信号处理 · 电气工程与系统科学 2020-12-02 Olivier Besson

Several approximate inference algorithms have been proposed to minimize an alpha-divergence between an approximating distribution and a target distribution. Many of these algorithms introduce bias, the magnitude of which becomes problematic…

机器学习 · 统计学 2021-10-27 Tomas Geffner , Justin Domke
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