Journal ArticleDOI
Evaluation of stochastic-resonance-based detectors of weak harmonic signals in additive white Gaussian noise
TLDR
A thorough evaluation of stochastic resonance in the framework of statistical detection theory is presented both as a nonlinear signal preprocessor and as a detector.Abstract:
A thorough evaluation of stochastic resonance in the framework of statistical detection theory is presented both as a nonlinear signal preprocessor and as a detector. The pertinent receiver operating characteristics are compared with those of the known statistically optimum detector using extensive Monte Carlo simulations. Parameter optimization and computational budget aspects are discussed.read more
Citations
More filters
Book
What Is Stochastic Resonance? Definitions, Misconceptions, Debates, and Its Relevance to Biology
Mark D. McDonnell,Derek Abbott +1 more
TL;DR: This work challenges neuroscientists and biologists to embrace a very broad definition of stochastic resonance in terms of signal-processing “noise benefits”, and to devise experiments aimed at verifying that random variability can play a functional role in the brain, nervous system, or other areas of biology.
Journal ArticleDOI
Theory of the Stochastic Resonance Effect in Signal Detection—Part II: Variable Detectors
TL;DR: The stochastic resonance (SR) effect under the condition that the detector structure or its parameters can also be changed, and the optimal SR noise modified detector is shown to be a constant vector and independent of the signal strength for both Neyman-Pearson and Bayesian criteria.
Journal ArticleDOI
Stochastic resonance with tuning system parameters: the application of bistable systems in signal processing
TL;DR: It is demonstrated that the theory and method presented here can markedly improve the output signal-to-noise ratio, and minimize phase lag as well as the distortion of the system output signal with multi-frequency.
Journal ArticleDOI
On the use of stochastic resonance in sine detection
TL;DR: This paper recalls some basics of detection and then shows why SR can be used in sine detection context and how to use SR in a detection scheme.
Journal ArticleDOI
Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions
TL;DR: In this article, the authors numerically investigate the generation of solitons in current-biased long Josephson junctions in relation to the superconducting lifetime and the voltage drop across the device.
References
More filters
Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book
Numerical Solution of Stochastic Differential Equations
Peter E. Kloeden,Eckhard Platen +1 more
TL;DR: In this article, a time-discrete approximation of deterministic Differential Equations is proposed for the stochastic calculus, based on Strong Taylor Expansions and Strong Taylor Approximations.
Journal ArticleDOI
Mathematical analysis of random noise
TL;DR: In this paper, the authors used the representations of the noise currents given in Section 2.8 to derive some statistical properties of I(t) and its zeros and maxima.