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We present the numerical estimation of noise parameter induced in the dynamics of the variables by random particle interactions involved in the stochastic chemical oscillator and use it as order parameter to detect the transition from…

Computational Physics · Physics 2011-09-02 R. K. Brojen Singh

In recent years, there is a growing need for processing methods aimed at extracting useful information from large datasets. In many cases the challenge is to discover a low-dimensional structure in the data, often concealed by the existence…

Statistics Theory · Mathematics 2019-06-05 Yariv Aizenbud , Boris Landa , Yoel Shkolnisky

A nanomechanical resonator coupled to a tunnel junction is studied. The oscillator modulates the transmission of the junction, changing the current and the noise spectrum. The influence of the oscillator on the noise spectrum of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Wabnig , J. Rammer , A. L. Shelankov

Analog electrical elements such as mixers, filters, transfer oscillators, isolating buffers, dividers, and even transmission lines contribute technical noise and unwanted environmental coupling in time and frequency measurements. Software…

Instrumentation and Detectors · Physics 2016-08-06 Jeff A. Sherman , Robert Jördens

Signal to noise ratio (SNR) is a key performance metric of an imaging instrument. Here we describe characterisation of SNR of a custom 2-photon microscope and compare the SNR performance of our microscope with selected commercial 2-photon…

Optics · Physics 2026-03-02 Radek Macháň , Shau Poh Chong , Khee Leong Lee , Peter Török

We study the stochastic resonance phenomenon in the overdamped two coupled anharmonic oscillators with Gaussian noise and driven by different external periodic forces. We consider (i) sine, (ii) square, (iii) symmetric saw-tooth, (iv)…

Chaotic Dynamics · Physics 2015-06-26 V. M. Gandhimathi , K. Murali , S. Rajasekar

In the field of audio generation, signal-to-noise ratio (SNR) has long served as an objective metric for evaluating audio quality. Nevertheless, recent studies have shown that SNR and its variants are not always highly correlated with human…

Sound · Computer Science 2026-01-21 Lingling Dai , Andong Li , Cheng Chi , Yifan Liang , Xiaodong Li , Chengshi Zheng

Policy-gradient methods are widely used in reinforcement learning, yet training often becomes unstable or slows down as learning progresses. We study this phenomenon through the noise-to-signal ratio (NSR) of a policy-gradient estimator,…

Optimization and Control · Mathematics 2026-02-10 Haoyu Han , Heng Yang

Noise induced Brownian dynamics in underdamped medium is studied numerically to understand the firing time of excitable systems. By considering Brownian particles that move in underdamped medium, we study how the first arrival time behaves…

Statistical Mechanics · Physics 2018-10-10 Solomon F. Duki , Mesfin A. Taye

We show that the gradient estimates used in training Deep Gaussian Processes (DGPs) with importance-weighted variational inference are susceptible to signal-to-noise ratio (SNR) issues. Specifically, we show both theoretically and via an…

Machine Learning · Statistics 2021-07-22 Tim G. J. Rudner , Oscar Key , Yarin Gal , Tom Rainforth

We study the transport properties of a quantum dot driven by either a rotating magnetic field or an ac gate voltage using the Floquet master-equation approach. Both types of ac driving lead to photon-assisted tunneling where quantized…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 B. H. Wu , C. Timm

This paper proposes novel spectrum sensing algorithms for cognitive radio networks. By assuming known transmitter pulse shaping filter, synchronous and asynchronous receiver scenarios have been considered. For each of these scenarios, the…

Optimization and Control · Mathematics 2013-12-31 Tadilo Endeshaw Bogale , Luc Vandendorpe

The electrical and heat currents flowing through a quantum dot are calculated in the presence of a time-modulated gate voltage with the help of the out-of-equilibrium Green function technique. From the first harmonics of the currents, we…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 Adeline Crépieux

In this paper, we propose an analytical model to estimate the signal-to-noise ratio (SNR) at the output of an adaptive equalizer in intensity modulation and direct detection (IMDD) optical transmission systems affected by shot noise,…

Numerical Analysis · Mathematics 2023-04-24 Giuseppe Rizzelli , Pablo Torres-Ferrera , Fabrizio Forghieri , Roberto Gaudino

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,…

Statistics Theory · Mathematics 2025-06-13 Xiaohan Hu , Zhentao Li , Xiaodong Li

This article proposes a method for the measurement of Phase Noise (PN, or PM noise) and Amplitude Noise (AN, or AM noise) of Digital-to-Analog Converters (DAC) and Direct Digital Synthesizers (DDS) based on modulation-index amplification.…

Instrumentation and Detectors · Physics 2021-01-28 Claudio E. Calosso , A. Carolina Cárdenas Olaya , Enrico Rubiola

We analyze the consequences that the choice of the output of the system has in the efficiency of signal detection. It is shown that the signal and the signal-to-noise ratio (SNR), used to characterize the phenomenon of stochastic resonance,…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

We consider the problem of testing for the presence (or detection) of an unknown sparse signal in additive white noise. Given a fixed measurement budget, much smaller than the dimension of the signal, we consider the general problem of…

Information Theory · Computer Science 2015-03-19 Ramin Zahedi , Ali Pezeshki , Edwin K. P. Chong

In spectroscopic analysis, the peak-based signal-to-noise ratio (pSNR) is commonly used but suffers from limitations such as sensitivity to noise spikes and reduced effectiveness for broader peaks. We introduce the area-based…

Signal Processing · Electrical Eng. & Systems 2025-12-25 Alex Yu , Huaqing Zhao , Lin Z. Li

The estimation of the parameters of a dynamic signal, such as a sine wave, based on quantized data is customarily performed using the least-square estimator (LSE), such as the sine fit. However, the characteristics of the experiments and…

Signal Processing · Electrical Eng. & Systems 2018-04-30 Paolo Carbone , Johan Schuokens , Antonio Moschitta