Literature DB >> 16172376

On the nonlinear modeling of shot noise.

Iddo Eliazar1, Joseph Klafter.   

Abstract

We introduced a nonlinear shot-noise model, a natural generalization of the "classic" shot-noise model, which differs markedly from the existing linear shot-noise models. This model produces a wide spectrum of stationary noise processes. Because of its intrinsic nonlinearity, the model's resulting noise processes are capable of displaying a rich variety of both amplitudal and temporal statistical behaviors. Surprisingly, the nonlinear model is amenable to mathematical analysis and yields closed-form formulae for the characterizing statistics of its resulting noise processes.

Year:  2005        PMID: 16172376      PMCID: PMC1216835          DOI: 10.1073/pnas.0506816102

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  2 in total

1.  Bifurcation, bimodality, and finite variance in confined Lévy flights.

Authors:  Aleksei V Chechkin; Joseph Klafter; Vsevolod Yu Gonchar; Ralf Metzler; Leonid V Tanatarov
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2003-01-28

2.  Fractal shot noise.

Authors: 
Journal:  Phys Rev Lett       Date:  1989-10-23       Impact factor: 9.161

  2 in total
  1 in total

1.  A unified and universal explanation for Lévy laws and 1/f noises.

Authors:  Iddo Eliazar; Joseph Klafter
Journal:  Proc Natl Acad Sci U S A       Date:  2009-07-13       Impact factor: 11.205

  1 in total

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