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The present paper provides a comprehensive study of de-noising properties of frames and, in particular, tight frames, which constitute one of the most popular tools in contemporary signal processing. The objective of the paper is to bridge…

Methodology · Statistics 2013-01-18 Daniela De Canditiis , Marianna Pensky , Patrick J. Wolfe

The effect of a small amount of noise on the standard mapping is considered. Whenever the standard mapping possesses accelerator modes (where the action increases approximately linearly with time), the diffusion coefficient contains a term…

Chaotic Dynamics · Physics 2007-05-23 Charles F. F. Karney , Alexander B. Rechester , Roscoe B. White

Room acoustics is commonly regarded and studied as an applied subdiscipline of engineering acoustics. It is likely for this reason that many textbooks and lecture notes on the topic provide a too brief, unsystematic, and incomplete physical…

Classical Physics · Physics 2021-11-04 Drasko Masovic

Intuitive control of synthesis processes is an ongoing challenge within the domain of auditory perception and cognition. Previous works on sound modelling combined with psychophysical tests have enabled our team to develop a synthesizer…

Spectrum analysis systems in online water quality testing are designed to detect types and concentrations of pollutants and enable regulatory agencies to respond promptly to pollution incidents. However, spectral data-based testing devices…

Machine Learning · Computer Science 2023-08-15 Haiwen Du , Zheng Ju , Yu An , Honghui Du , Dongjie Zhu , Zhaoshuo Tian , Aonghus Lawlor , Ruihai Dong

Pretrained diffusion models have demonstrated strong capabilities in zero-shot inverse problem solving by incorporating observation information into the generation process of the diffusion models. However, this presents an inherent dilemma:…

Machine Learning · Computer Science 2026-05-05 Xun Su , Hiroyuki Kasai

Quantum noise in a model of singly resonant frequency doubling including phase mismatch and driving in the harmonic mode is analyzed. The general formulae about the fixed points and their stability as well as the squeezing spectra…

Quantum Physics · Physics 2007-05-23 C. Cabrillo , J. L. Roldan , P. Garcia-Fernandez

A method of noise reduction proposed for the next generation of aircraft is to shield noise from the propulsion system, by positioning the noise source over a wing or another surface. In this paper, an approximate analysis is developed for…

Fluid Dynamics · Physics 2022-05-16 Michael Carley

Extensive studies have shown that deep learning models are vulnerable to adversarial and natural noises, yet little is known about model robustness on noises caused by different system implementations. In this paper, we for the first time…

Machine Learning · Computer Science 2023-07-04 Yan Wang , Yuhang Li , Ruihao Gong , Aishan Liu , Yanfei Wang , Jian Hu , Yongqiang Yao , Yunchen Zhang , Tianzi Xiao , Fengwei Yu , Xianglong Liu

Sonar systems are frequently used to classify objects at a distance by using the structure of the echoes of acoustic waves as a proxy for the object's shape and composition. Traditional synthetic aperture processing is highly effective in…

Computational Engineering, Finance, and Science · Computer Science 2021-12-14 Michael Robinson

Despite there being clear evidence for top-down (e.g., attentional) effects in biological spatial hearing, relatively few machine hearing systems exploit top-down model-based knowledge in sound localisation. This paper addresses this issue…

Audio and Speech Processing · Electrical Eng. & Systems 2019-04-08 Ning Ma , Jose A. Gonzalez , Guy J. Brown

Benchmarking is how the performance of a computing system is determined. Surprisingly, even for classical computers this is not a straightforward process. One must choose the appropriate benchmark and metrics to extract meaningful results.…

Quantum Physics · Physics 2021-05-07 Salonik Resch , Ulya R. Karpuzcu

Standardness is a popular assumption in the literature on set estimation. It also appears in statistical approaches to topological data analysis, where it is common to assume that the data were sampled from a probability measure that…

Statistics Theory · Mathematics 2025-02-27 Alejandro Cholaquidis , Leonardo Moreno , Beatriz Pateiro-López

The ability to localize and track acoustic events is a fundamental prerequisite for equipping machines with the ability to be aware of and engage with humans in their surrounding environment. However, in realistic scenarios, audio signals…

Audio and Speech Processing · Electrical Eng. & Systems 2020-10-22 Christine Evers , Heinrich Loellmann , Heinrich Mellmann , Alexander Schmidt , Hendrik Barfuss , Patrick Naylor , Walter Kellermann

Time-frequency scattering is a mathematical transformation of sound waves. Its core purpose is to mimick the way the human auditory system extracts information from its environment. In the context of improving the artificial intelligence of…

Sound · Computer Science 2019-05-22 Vincent Lostanlen

It is shown that a well-known theory of random stationary processes contain contradictions. Integral representations of correlation functions and random stationary processes are investigated further. The new method of struggle with…

Statistics Theory · Mathematics 2011-03-09 V. N. Tibabishev

Cognitive distraction and measurement noise are two distinct factors that significantly impact the performance of humans and engineering systems. Cognitive distraction occurs when an individual's attention is diverted from a task, while…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Mehdi Delrobaei

A short survey is provided about our recent explorations of the young topic of noise-based logic. After outlining the motivation behind noise-based computation schemes, we present a short summary of our ongoing efforts in the introduction,…

Data Analysis, Statistics and Probability · Physics 2012-03-15 Laszlo B. Kish , Sunil P. Khatri , Sergey M. Bezrukov , Ferdinand Peper , Zoltan Gingl , Tamas Horvath

The commercial introduction of a novel electronic device is often preceded by a lengthy material optimization phase devoted to the suppression of device noise as much as possible. The emergence of novel computing architectures, however,…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 János Gergő Fehérvári , Zoltán Balogh , Tímea Nóra Török , András Halbritter

The noise of a device under test (DUT) is measured simultaneously with two instruments, each of which contributes its own background. The average cross power spectral density converges to the DUT power spectral density. This method enables…

Instrumentation and Detectors · Physics 2010-03-02 Enrico Rubiola , Francois Vernotte