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Here we use Floquet theory to calculate the response of parametrically-driven time-periodic systems near the onset of parametric instability to an added external ac signal or white noise. We provide new estimates, based on the Green's…

Chaotic Dynamics · Physics 2024-11-05 Adriano A. Batista

In this paper we suggest a new algorithm for determination of signal-to-noise ratio (SNR). SNR is a quantitative measure widely used in science and engineering. Generally, methods for determination of SNR are based on using of…

Data Analysis, Statistics and Probability · Physics 2016-09-30 Z. Zh. Zhanabaev , S. N. Akhtanov , E. T. Kozhagulov , B. A Karibayev

In this paper we report a theoretical model based on Green functions, Floquet theory and averaging techniques up to second order that describes the dynamics of parametrically-driven oscillators with added thermal noise. Quantitative…

Statistical Mechanics · Physics 2012-11-07 Adriano A. Batista

In applications that involve sensor data, a useful measure of signal-to-noise ratio (SNR) is the ratio of the root-mean-squared (RMS) signal to the RMS sensor noise. The present paper shows that, for numerical differentiation, the…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Shashank Verma , Mohammad Almuhaihi , Dennis S. Bernstein

Signal-to-noise ratios are a widely used concept for astroparticle radio detectors, such as air-shower radio arrays for cosmic-ray measurements or detectors searching for radio signals induced by neutrino interactions in ice. Nonetheless,…

Instrumentation and Methods for Astrophysics · Physics 2023-06-12 Frank G. Schröder , Amy L. Connolly , Tim Huege , Abdul Rehman

This paper analyzes the statistical properties of the signal-to-noise ratio (SNR) at the output of the Capon's minimum variance distortionless response (MVDR) beamformers when operating over impulsive noises. Particularly, we consider the…

Information Theory · Computer Science 2016-05-17 Khalil Elkhalil , Abla Kammoun , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

Here we investigate white noise squeezing in the frequency domain of classical parametrically-driven resonators with added noise. We use Green's functions to analyse the response of resonators to added noise. In one approach, we obtain the…

Applied Physics · Physics 2025-05-13 Adriano A. Batista , Raoni S. N. Moreira , A. A. Lisboa de Souza

A sensor network is used for distributed joint mean and variance estimation, in a single time snapshot. Sensors observe a signal embedded in noise, which are phase modulated using a constant-modulus scheme and transmitted over a Gaussian…

Information Theory · Computer Science 2016-11-17 Mahesh K. Banavar , Cihan Tepedelenlioglu , Andreas Spanias

The signal-to-noise ratio (SNR) is a fundamental tool to measure the performance of an image sensor. However, confusions sometimes arise between the two types of SNRs. The first one is the output-referred SNR which measures the ratio…

Image and Video Processing · Electrical Eng. & Systems 2022-06-14 Abhiram Gnanasambandam , Stanley H. Chan

Signal-to-noise ratio (SNR) statistics play a central role in many applications. A common situation where SNR is studied is when a continuous time signal is sampled at a fixed frequency with some noise in the background. While estimation…

Methodology · Statistics 2021-11-05 Francesco Giordano , Pietro Coretto

We study the noise effects in a driven system of globally coupled oscillators, with particular attention to the interplay between driving and noise. The self-consistency equation for the order parameter, which measures the collective…

Statistical Mechanics · Physics 2009-10-31 H. Hong , M. Y. Choi , K. Park , B. -G. Yoon , K. -S. Soh

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,…

Pattern Formation and Solitons · Physics 2021-06-08 Adriano A. Batista , A. A. Lisboa de Souza , Raoni S. N. Moreira

We introduce a simple and linear SNR (strictly speaking, periodic to random power ratio) estimator (0dB to 80dB without additional calibration/linearization) for providing reliable descriptions of aperiodicity in speech corpus. The main…

Audio and Speech Processing · Electrical Eng. & Systems 2018-07-06 Hideki Kawahara , Ken-Ichi Sakakibara , Masanori Morise , Hideki Banno , Tomoki Toda

The dynamical control of energy transfer between interacting systems is fundamental in diverse applications related to physical, electronic and chemical processes. Recent developments show that noise may enhance or suppress power transfer…

Optics · Physics 2021-03-19 P. Bravo-Cassab , B. Jaramillo-Ávila , B. M. Rodríguez-Lara

In particle image velocimetry (PIV) the measurement signal is contained in the recorded intensity of the particle image pattern superimposed on a variety of noise sources. The signal-to-noise-ratio (SNR) strength governs the resulting PIV…

Fluid Dynamics · Physics 2015-06-19 Zhenyu Xue , John J. Charonko , Pavlos P. Vlachos

Novel methods and technology drive the rapid advances of nuclear magnetic resonance (NMR). The primary objective of developing novel hardware is to improve sensitivity and reliability (and possibly to reduce cost). Automation has made NMR…

Instrumentation and Detectors · Physics 2025-06-16 Josh P. Peters , Frank D. Sönnichsen , Jan-Bernd Hövener , Andrey N. Pravdivtsev

We study resonance behavior of a two-dimensional fully frustrated Josephson-junction array driven by high alternating currents. The signal-to-noise ratio (SNR) is examined as the frequency of the driving current is varied; revealed is a…

Statistical Mechanics · Physics 2007-05-23 Jong Soo Lim , M. Y. Choi , Beom Jun Kim

Oscillator output generally has phase noise causing the output power spectral density (PSD) to disperse around a Dirac delta function. In this paper, the AWGN channel is considered, where the sent signal accompanying with phase noise is…

Information Theory · Computer Science 2022-06-14 Amir Alizadeh , Ghosheh Abed Hodtani

In this letter, we propose the extension of a previously presented analytical model for the estimation of the signal-to-noise ratio (SNR) at the output of an adaptive equalizer in coherent optical transmission systems when transmission is…

Information Theory · Computer Science 2022-02-24 Giuseppe Rizzelli , Pablo Torres Ferrera , Roberto Gaudino

We study the stationary and nonstationary measurement of a classical force driving a mechanical oscillator coupled to an electromagnetic cavity under two-tone driving. For this purpose, we develop a theoretical framework based on the…

Quantum Physics · Physics 2020-11-26 D. N. Bernal-García , H. Vinck-Posada , M. J. Woolley
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