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We find that sensory noise delivered together with a weak periodic signal not only enhances nonlinear response of neuronal networks, but also improves the synchronization of the response to the signal. We reveal this phenomenon in neuronal…

神经元与认知 · 定量生物学 2015-08-25 M. A. Lopes , K. -E. Lee , A. V. Goltsev , J. F. F. Mendes

Stochastic resonance (SR) is a phenomenon in which signal to noise (SN) ratio gets improved by noise addition rather than removal as envisaged classically. SR was first claimed in climatology a few decades ago and then in other disciplines…

地球物理 · 物理学 2008-11-03 Mensur Omerbashich

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

Scanning Electron Microscopy (SEM) is critical in nanotechnology, materials science, and biological imaging due to its high spatial resolution and depth of focus. Signal-to-noise ratio (SNR) is an essential parameter in SEM because it…

机器学习 · 计算机科学 2025-10-10 K. S. Sim , I. Bukhori , D. C. Y. Ong , K. B. Gan

We study an extended system that without noise shows a spatially homogeneous state, but when submitted to an adequate multiplicative noise, some "noise-induced patterns" arise. The stochastic resonance between these structures is…

斑图形成与孤子 · 物理学 2013-05-29 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

Stochastic resonance shows that under some circumstances noise can enhance the response of a system to a periodic force. While this effect has been extensively investigated theoretically and demonstrated experimentally in classical systems,…

量子物理 · 物理学 2009-11-06 S. F. Huelga , M. B. Plenio

Accurate phase extraction from sinusoidal signals is a crucial task in various signal processing applications. While prior research predominantly addresses the case of asynchronous sampling with unknown signal frequency, this study focuses…

信号处理 · 电气工程与系统科学 2024-11-01 Emmanuel Dervieux , Florian Tilquin , Alexis Bisiaux , Wilfried Uhring

Can noise be beneficial to machine-learning prediction of chaotic systems? Utilizing reservoir computers as a paradigm, we find that injecting noise to the training data can induce a stochastic resonance with significant benefits to both…

机器学习 · 计算机科学 2022-11-21 Zheng-Meng Zhai , Ling-Wei Kong , Ying-Cheng Lai

Signal to Noise Ratio (SNR) is an important index for wireless communications. There are many methods for increasing SNR. In CDMA systems, spreading sequences are used. To increase SNR, we have to improve spreading sequences. In classical…

信息论 · 计算机科学 2016-11-11 Hirofumi Tsuda , Ken Umeno

The reasons behind good DNN generalisation remain an open question. In this paper we explore the problem by looking at the Signal-to-Noise Ratio of nodes in the network. Starting from information theory principles, it is possible to derive…

机器学习 · 计算机科学 2020-02-13 Paul Norridge

We show that the dipole, a system usually proposed to model relaxation phenomena, exhibits a maximum in the signal-to-noise ratio at a non-zero noise level, thus indicating the appearance of stochastic resonance. The phenomenon occurs in…

凝聚态物理 · 物理学 2016-08-15 J. M. G. Vilar , A. Pérez-Madrid , J. M. Rubí

Stochastic resonance is a phenomenon in which noise enhances the response of a system to an input signal. The brain is an example of a system that has to detect and transmit signals in a noisy environment, suggesting that it is a good…

Stochastic resonance is a phenomenon where a noise of appropriate intensity enhances the input signal strength. In this work, by employing the recently developed convex optimization methods in the context of dynamical systems and stochastic…

动力系统 · 数学 2023-09-22 Minjae Cho

This paper proposes a highly accurate algorithm to estimate the signal-to-noise ratio (SNR) for a linear system from a single realization of the received signal. We assume that the linear system has a Gaussian matrix with one sided left…

信息论 · 计算机科学 2017-10-10 Mohamed A. Suliman , Ayed M. Alrashdi , Tarig Ballal , Tareq Y. Al-Naffouri

We discuss stochastic resonance (SR) effects in driven coupled quantum systems. We construct dynamical and information theoretic measures of the system's response that exhibit a non-monotonic behaviour as a function of the noise strength.…

量子物理 · 物理学 2013-05-29 Susana Huelga , Martin Plenio

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

Stochastic resonance (SR) - a counter-intuitive phenomenon in which the signal due to a weak periodic force in a nonlinear system can be {\it enhanced} by the addition of external noise - is reviewed. A theoretical approach based on linear…

We undertake a detailed numerical study of the phenomenon of stochastic resonance with multisignal inputs. A bistable cubic map is used as the model and we show that it combines the features of a bistable system and a threshold system. A…

混沌动力学 · 物理学 2007-05-23 K P Harikrishnan , G Ambika

Stochastic resonance (SR) is a coherence enhancement effect due to noise that occurs in periodically-driven nonlinear dynamical systems. A very broad range of physical and biological systems present this effect such as climate change,…

斑图形成与孤子 · 物理学 2021-06-08 Adriano A. Batista , A. A. Lisboa de Souza , Raoni S. N. Moreira

We have analyzed the effects of the addition of external noise to non-dynamical systems displaying intrinsic noise, and established general conditions under which stochastic resonance appears. The criterion we have found may be applied to a…

凝聚态物理 · 物理学 2016-08-15 J. M. G. Vilar , G. Gomila , J. M. Rubí