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In this work, we present a new perspective on the origin and interpretation of adaptive filters. By applying Bayesian principles of recursive inference from the state-space model and using a series of simplifications regarding the structure…

Information Retrieval · Computer Science 2025-07-02 Leszek Szczecinski , Jacob Benesty , Eduardo Vinicius Kuhn

This work investigates the problem of detecting gravitational wave (GW) events based on simulated damped sinusoid signals contaminated with white Gaussian noise. It is treated as a classification problem with one class for the interesting…

Instrumentation and Methods for Astrophysics · Physics 2020-06-01 Xiangru Li , Woliang Yu , Xilong Fan , G. Jogesh Babu

The search for gravitational-wave signals in detector data is often hampered by the fact that many data analysis methods are based on the theory of stationary Gaussian noise, while actual measurement data frequently exhibit clear departures…

Data Analysis, Statistics and Probability · Physics 2011-12-30 Christian Röver

Data from the LIGO detectors typically contain many non-Gaussian noise transients which arise due to instrumental and environmental conditions. These non-Gaussian transients can be an issue for the modelled and unmodelled transient…

Instrumentation and Methods for Astrophysics · Physics 2018-04-23 L. K. Nuttall

The gravitational-wave detector is a complex and sensitive collection of advanced instruments that are impacted not only by mechanical/electronics systems but also by the surrounding environment. Hence, it is of great importance to classify…

Instrumentation and Methods for Astrophysics · Physics 2022-09-07 Piljong Jung , Sang Hoon Oh , Young-Min Kim , Edwin J. Son , Takaaki Yokozawa , Tatsuki Washimi , John J. Oh

We consider estimation of a deterministic unknown parameter vector in a linear model with non-Gaussian noise. In the Gaussian case, dimensionality reduction via a linear matched filter provides a simple low dimensional sufficient statistic…

Applications · Statistics 2013-11-05 Jakob Vovnoboy , Ami Wiesel

The problem of transmitting a parameter value over an additive white Gaussian noise (AWGN) channel is considered, where, in addition to the transmitter and the receiver, there is a helper that observes the noise non-causally and provides a…

Information Theory · Computer Science 2024-10-28 Anatoly Khina , Neri Merhav

Gravitational wave data from ground-based detectors is dominated by instrument noise. Signals will be comparatively weak, and our understanding of the noise will influence detection confidence and signal characterization. Mis-modeled noise…

General Relativity and Quantum Cosmology · Physics 2015-04-22 Tyson B. Littenberg , Neil J. Cornish

We demonstrate a new tool for filtering technical and electronic noises from pulses of light, especially relevant for signal processing methods in quantum optics experiments as a means to achieve the shot-noise level and reduce strong…

The capacity of a complex and discrete-time memoryless additive white Gaussian noise (AWGN) channel under three constraints, namely, input average power, input amplitude and output delivered power is studied. The output delivered power…

Information Theory · Computer Science 2020-04-27 Morteza Varasteh , Borzoo Rassouli , Bruno Clerckx

In some applications, the variance of additive measurement noise depends on the signal that we aim to measure. For instance, additive Gaussian signal-dependent noise (AGSDN) channel models are used in molecular and optical communication.…

Information Theory · Computer Science 2017-06-05 Hamid Ghourchian , Gholamali Aminian , Amin Gohari , Mahtab Mirmohseni , Masoumeh Nasiri-Kenari

The problem of known signal detection in Additive White Gaussian Noise is considered. In previous work, a new detection scheme was introduced by the authors, and it was demonstrated that optimum performance cannot be reached in a real…

Information Retrieval · Computer Science 2007-05-23 Jaime Gomez , Ignacio Melgar , Juan Seijas , Diego Andina

The problem of minimax detection of Gaussian random signal vector in White Gaussian additive noise is considered. It is supposed that an unknown vector $\boldsymbol{\sigma}$ of the signal vector intensities belong to the given set…

Information Theory · Computer Science 2018-02-23 Marat V. Burnashev

Searches for binary inspiral signals in data collected by interferometric gravitational wave detectors utilize matched filtering techniques. Although matched filtering is optimal in the case of stationary Gaussian noise, data from real…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Shawhan , Evan Ochsner

We consider the problem of detecting a burst signal of unknown shape. We introduce a statistic which generalizes the excess power statistic proposed by Flanagan and Hughes and extended by Anderson et al. The statistic we propose is shown to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Andrea Viceré

Most existing image denoising algorithms can only deal with a single type of noise, which violates the fact that the noisy observed images in practice are often suffered from more than one type of noise during the process of acquisition and…

Multimedia · Computer Science 2016-11-18 Jian Zhang , Ruiqin Xiong , Chen Zhao , Siwei Ma , Debin Zhao

We consider the transmission of a memoryless bivariate Gaussian source over an average-power-constrained one-to-two Gaussian broadcast channel. The transmitter observes the source and describes it to the two receivers by means of an…

Information Theory · Computer Science 2009-03-20 Shraga Bross , Amos Lapidoth , Stephan Tinguely

Space-based gravitational wave (GW) detectors will be able to observe signals from sources that are otherwise nearly impossible from current ground-based detection. Consequently, the well established signal detection method, matched…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Tianyu Zhao , Ruoxi Lyu , He Wang , Zhoujian Cao , Zhixiang Ren

Denoising images contaminated by the mixture of additive white Gaussian noise (AWGN) and impulse noise (IN) is an essential but challenging problem. The presence of impulsive disturbances inevitably affects the distribution of noises and…

Image and Video Processing · Electrical Eng. & Systems 2020-08-28 Zhou Liu , Lei Yu , Gui-Song Xia , Hong Sun

In this paper we study the problem of signal detection in Gaussian noise in a distributed setting where the local machines in the star topology can communicate a single bit of information. We derive a lower bound on the Euclidian norm that…

Information Theory · Computer Science 2022-02-28 Botond Szabo , Lasse Vuursteen , Harry van Zanten