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This is the second part of the two-part paper considering the communications under the bursty mixed noise composed of white Gaussian noise and colored non-Gaussian impulsive noise. In the first part, based on Gaussian distribution and…

Signal Processing · Electrical Eng. & Systems 2024-05-10 Tianfu Qi , Jun Wang , Zexue Zhao

In many scenarios, the communication system suffers from both Gaussian white noise and non-Gaussian impulsive noise. In order to design optimal signal detection method, it is necessary to estimate the parameters of mixed Gaussian-impulsive…

Signal Processing · Electrical Eng. & Systems 2022-09-07 Tianfu Qi , Jun Wang , Xiaonan Chen , Wei Huang

In many communication scenarios, the communication signals simultaneously suffer from white Gaussian noise (WGN) and non-Gaussian impulsive noise (IN), i.e., mixed Gaussian-impulsive noise (MGIN). Under MGIN channel, classical communication…

Signal Processing · Electrical Eng. & Systems 2023-01-20 Chengjie Zhao , Jun Wang , Wei Huang , Xiaonan Chen , Tianfu Qi

Image noise can often be accurately fitted to a Poisson-Gaussian distribution. However, estimating the distribution parameters from a noisy image only is a challenging task. Here, we study the case when paired noisy and noise-free samples…

Computer Vision and Pattern Recognition · Computer Science 2022-12-29 Nicolas Bähler , Majed El Helou , Étienne Objois , Kaan Okumuş , Sabine Süsstrunk

Digital sensors can lead to noisy results under many circumstances. To be able to remove the undesired noise from images, proper noise modeling and an accurate noise parameter estimation is crucial. In this project, we use a…

Image and Video Processing · Electrical Eng. & Systems 2022-12-21 Étienne Objois , Kaan Okumuş , Nicolas Bähler

The intensity statistics of signals in the presence of Gaussian noise is obtained by studying the model of a random signal plus a random phasor sum. The additive Gaussian noise is shown to result in a Bessel transform of the probability…

Disordered Systems and Neural Networks · Physics 2015-05-13 A. A. Chabanov

In multi-target tracking (MTT), non-Gaussian measurement noise from sensors can diminish the performance of the Gaussian-assumed Gaussian mixture probability hypothesis density (GM-PHD) filter. In this paper, an approach that transforms the…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Jiacheng He , Shan Zhong , Bei Peng , Gang Wang , Qizhen Wang

Speech enhancement is a critical component of many user-oriented audio applications, yet current systems still suffer from distorted and unnatural outputs. While generative models have shown strong potential in speech synthesis, they are…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-11 Yen-Ju Lu , Zhong-Qiu Wang , Shinji Watanabe , Alexander Richard , Cheng Yu , Yu Tsao

This paper deals with the parametric inference for integrated signals embedded in an additive Gaussian noise and observed at deterministic discrete instants which are not necessarily equidistant. The unknown parameter is multidimensional…

Statistics Theory · Mathematics 2019-03-18 Dominique Dehay , Khalil El Waled , Vincent Monsan

We consider the problem of estimating means of two Gaussians in a 2-Gaussian mixture, which is not balanced and is corrupted by noise of an arbitrary distribution. We present a robust algorithm to estimate the parameters, together with…

Statistics Theory · Mathematics 2019-07-23 Jing Xu , Jakub Marecek

Mixed noise, composed of white Gaussian noise (WGN) and impulsive noise (IN), appears in numerous communication scenarios and can severely degrade system performance. In this paper, we optimize the transmitted constellation under mixed…

Signal Processing · Electrical Eng. & Systems 2025-09-09 Tianfu Qi , Jun Wang

Within Bayesian state estimation, considerable effort has been devoted to incorporating constraints into state estimation for process optimization, state monitoring, fault detection and control. Nonetheless, in the domain of state-space…

Systems and Control · Electrical Eng. & Systems 2025-07-28 Rodrigo A. González , Angel L. Cedeño , Koen Tiels , Tom Oomen

Noise is a vital factor in determining the accuracy of processing the information of the quantum channel. One must consider classical noise effects associated with quantum noise sources for more realistic modelling of quantum channels. A…

Signal Processing · Electrical Eng. & Systems 2024-09-10 Mouli Chakraborty , Anshu Mukherjee , Ioannis Krikidis , Avishek Nag , Subhash Chandra

Recent diffusion models have achieved promising performances in audio-denoising tasks. The unique property of the reverse process could recover clean signals. However, the distribution of real-world noises does not comply with a single…

Sound · Computer Science 2024-06-14 Pu Wang , Junhui Li , Jialu Li , Liangdong Guo , Youshan Zhang

We investigate and compare the fundamental performance of several distributed learning methods that have been proposed recently. We do this in the context of a distributed version of the classical signal-in-Gaussian-white-noise model, which…

Statistics Theory · Mathematics 2017-11-10 Botond Szabo , Harry van Zanten

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

Generative diffusion processes are an emerging and effective tool for image and speech generation. In the existing methods, the underline noise distribution of the diffusion process is Gaussian noise. However, fitting distributions with…

Machine Learning · Computer Science 2021-06-17 Eliya Nachmani , Robin San Roman , Lior Wolf

Most of the existing diffusion models use Gaussian noise for training and sampling across all time steps, which may not optimally account for the frequency contents reconstructed by the denoising network. Despite the diverse applications of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Xingchang Huang , Corentin Salaün , Cristina Vasconcelos , Christian Theobalt , Cengiz Öztireli , Gurprit Singh

Diffusion models have become fundamental tools for modeling data distributions in machine learning. Despite their success, these models face challenges when generating data with extreme brightness values, as evidenced by limitations…

Machine Learning · Statistics 2026-04-10 Takuro Kutsuna

We study the Gaussian Process regression model in the context of training data with noise in both input and output. The presence of two sources of noise makes the task of learning accurate predictive models extremely challenging. However,…

Machine Learning · Statistics 2015-07-03 Cuong Tran , Vladimir Pavlovic , Robert Kopp
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