Výsledky vyhledávání - "J. V. Michalowicz"

A general Isserlis theorem for mixed-Gaussian random variables

Autor: C. C. Olson, J. V. Michalowicz, Frank Bucholtz, Jonathan M. Nichols

Publikováno v: Statistics & Probability Letters. 81:1233-1240

This work generalizes a widely used result derived by L. Isserlis for the expectations of products of jointly Gaussian random variables by extending it to include mixed-Gaussian random variables.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ba030e0bb1843ef8b0f5e8df57099976
https://doi.org/10.1016/j.spl.2011.03.022

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Coupling Evolutionary Algorithms With Nonlinear Dynamical Systems: An Efficient Tool for Excitation Design and Optimization

Autor: Michael D. Todd, C. C. Olson, J. V. Michalowicz, J. M. Nichols, Frank Bucholtz

Publikováno v: IEEE Transactions on Evolutionary Computation. 15:437-443

Many chaotic dynamical systems can produce time series with a wide range of temporal and spectral properties as a function of only a few fixed parameters. This malleability invites their use as tools for shaping or designing inputs used to drive a se

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3305dae404f2296214f80ba731d745be
https://doi.org/10.1109/tevc.2010.2049360

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A simple algorithm for generating spectrally colored, non-Gaussian signals

Autor: Jonathan M. Nichols, Frank Bucholtz, C. C. Olson, J. V. Michalowicz

Publikováno v: Probabilistic Engineering Mechanics. 25:315-322

This work describes a simple method for generating signals conforming to a stationary random process for which the practitioner specifies both the power spectral density function and the marginal probability density function. The general approach is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::86046908e2a2e39a0a56f461a1691e46
https://doi.org/10.1016/j.probengmech.2010.01.005

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Distribution of splice loss in single mode optical fiber

Autor: J. M. Nichols, Frank Bucholtz, J. V. Michalowicz

Publikováno v: Applied Optics. 57:1140

This work investigates a probabilistic model for splice loss in single mode optical fibers. We derive the probability density function for loss values as a function of lateral and angular misalignment. We then use observed data to estimate these mode

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d31fdb88b62733dbfaddf1f57fdc6b62
https://doi.org/10.1364/ao.57.001140

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Calculation of Entropy for a Sinusoid with Beta-Distributed Phase

Autor: Colin C. Olson, Frank Bucholtz, Jonathan M. Nichols, J. V. Michalowicz

Publikováno v: Entropy, Vol 11, Iss 4, Pp 949-958 (2009)
Entropy
Volume 11
Issue 4
Pages 949-958

In this paper, an analytical expression is developed for the differential entropy of a sinusoid with a Beta-distributed phase angle. This particular signal model is prevalent in optical communications, however an expression for the associated differe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e51f4ed20ffacf5701b05a0b90a917e4
https://doi.org/10.3390/e11040949

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The Bispectrum and Bicoherence for Quadratically Nonlinear Systems Subject to Non-Gaussian Inputs

Autor: Jonathan M. Nichols, J. V. Michalowicz, C. C. Olson, Frank Bucholtz

Publikováno v: IEEE Transactions on Signal Processing. 57:3879-3890

In the analysis of data from nonlinear systems both the bispectrum and the bicoherence have emerged as useful tools. Both are frequently used to detect the influence of a nonlinear system on the joint probability distribution of the system input. Pre

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7a84d4fda7a13170eacd1d1ed7e3b7ee
https://doi.org/10.1109/tsp.2009.2024267

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An Isserlis’ Theorem for Mixed Gaussian Variables: Application to the Auto-Bispectral Density

Autor: Jonathan M. Nichols, Frank Bucholtz, J. V. Michalowicz, C. C. Olson

Publikováno v: Journal of Statistical Physics. 136:89-102

This work derives a version of Isserlis’ theorem for the specific case of four mixed-Gaussian random variables. The theorem is then used to derive an expression for the auto-bispectral density for quadratically nonlinear systems driven with mixed-G

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a840ba7de7b524961440d0bfae507f9b
https://doi.org/10.1007/s10955-009-9768-3

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Signal detection based on recurrence matrix statistics

Autor: Jonathan M. Nichols, Frank Bucholtz, J. V. Michalowicz

Publikováno v: Physics Letters A. 372:7172-7178

This work considers the problem of detecting signals in noise in the absence of a well-defined signal model. Specifically, we compare detectors based on recurrence plots to one of the more commonly used detection strategies. Results indicate improvem

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ae75b115f013898860be938c59dc785b
https://doi.org/10.1016/j.physleta.2008.10.057

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