scispace - formally typeset
Search or ask a question
Topic

White noise

About: White noise is a research topic. Over the lifetime, 16496 publications have been published within this topic receiving 318633 citations.


Papers
More filters
Journal ArticleDOI
TL;DR: In this paper, the authors proposed the complex variational mode decomposition (CVMD) algorithm for the analysis of complex-valued data in the presence of white noise and the effects of initialization of center frequency on the filter bank property.

87 citations

Journal ArticleDOI
V. Friedman1
TL;DR: A new algorithm for the estimation of the frequency of a single sinusoid in white noise, based on the computation of the interval between zero crossings, is presented, showing that for a high signal-to-noise ratio, the output error spectrum is concentrated in the high-frequency region.
Abstract: Presents a new algorithm for the estimation of the frequency of a single sinusoid in white noise, based on the computation of the interval between zero crossings. It is shown that for a high signal-to-noise ratio, the output error spectrum is concentrated in the high-frequency region. Theoretically, the desired precision can be achieved using a proper low-pass filter. The spectrum of the error due to the interpolation of the zero crossing is computed. Simulation results show that a precision of 10/sup -7/-10/sup -8/ can be obtained with modest computational effort. >

87 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigated the behavior of escaping trajectories from one well to another by pointing to the special character that underpins the noise-induced discontinuity which is caused by the generalized Brownian paths that jump beyond the barrier location without actually hitting it.
Abstract: We explore the archetype problem of an escape dynamics occurring in a symmetric double well potential when the Brownian particle is driven by white Levy noise in a dynamical regime where inertial effects can safely be neglected. The behavior of escaping trajectories from one well to another is investigated by pointing to the special character that underpins the noise-induced discontinuity which is caused by the generalized Brownian paths that jump beyond the barrier location without actually hitting it. This fact implies that the boundary conditions for the mean first passage time (MFPT) are no longer determined by the well-known local boundary conditions that characterize the case with normal diffusion. By numerically implementing properly the set up boundary conditions, we investigate the survival probability and the average escape time as a function of the corresponding Levy white noise parameters. Depending on the value of the skewness beta of the Levy noise, the escape can either become enhanced or suppressed: a negative asymmetry parameter beta typically yields a decrease for the escape rate while the rate itself depicts a non-monotonic behavior as a function of the stability index alpha that characterizes the jump length distribution of Levy noise, exhibiting a marked discontinuity at alpha=1. We find that the typical factor of 2 that characterizes for normal diffusion the ratio between the MFPT for well-bottom-to-well-bottom and well-bottom-to-barrier-top no longer holds true. For sufficiently high barriers the survival probabilities assume an exponential behavior versus time. Distinct non-exponential deviations occur, however, for low barrier heights.

87 citations

Book
01 Jan 1994
TL;DR: In this article, the white noise space and white noise functionals are used for operator theory and operator theory for harmonic analysis in the context of white-noise spaces and functionals.
Abstract: Prerequisites.- White noise space.- White noise functionals.- Operator theory.- Toward harmonic analysis.- Addendum.

87 citations

Posted Content
TL;DR: In this paper, the outage probability of the free-space optical channel was investigated under the assumption of orthogonal pulse-position modulation. And the authors investigated the mitigation of scintillation through the use of multiple lasers and multiple apertures, thereby creating a multiple-input multiple output (MIMO) channel.
Abstract: The free-space optical channel has the potential to facilitate inexpensive, wireless communication with fiber-like bandwidth under short deployment timelines. However, atmospheric effects can significantly degrade the reliability of a free-space optical link. In particular, atmospheric turbulence causes random fluctuations in the irradiance of the received laser beam, commonly referred to as scintillation. The scintillation process is slow compared to the large data rates typical of optical transmission. As such, we adopt a quasi-static block fading model and study the outage probability of the channel under the assumption of orthogonal pulse-position modulation. We investigate the mitigation of scintillation through the use of multiple lasers and multiple apertures, thereby creating a multiple-input multiple output (MIMO) channel. Non-ideal photodetection is also assumed such that the combined shot noise and thermal noise are considered as signal-independent Additive Gaussian white noise. Assuming perfect receiver channel state information (CSI), we compute the signal-to-noise ratio exponents for the cases when the scintillation is lognormal, exponential and gamma-gamma distributed, which cover a wide range of atmospheric turbulence conditions. Furthermore, we illustrate very large gains, in some cases larger than 15 dB, when transmitter CSI is also available by adapting the transmitted electrical power.

87 citations


Network Information
Related Topics (5)
Nonlinear system
208.1K papers, 4M citations
83% related
Robustness (computer science)
94.7K papers, 1.6M citations
83% related
Estimator
97.3K papers, 2.6M citations
81% related
Communication channel
137.4K papers, 1.7M citations
80% related
Matrix (mathematics)
105.5K papers, 1.9M citations
79% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023238
2022535
2021488
2020541
2019558
2018537