White noise analysis of coupled linear-nonlinear systems

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We present an asymptotic analysis of two coupled linear-nonlinear systems. Through measuring first and second input-output statistics of the systems in response to white noise input, one can completely characterize the systems and their coupling. The proposed model is similar to a widely used phenomenological model of neurons in response to sensory stimulation and may be used to help characterize neural circuitry in sensory brain regions.

Original languageEnglish (US)
Pages (from-to)1208-1230
Number of pages23
JournalSIAM Journal on Applied Mathematics
Issue number4
StatePublished - Mar 2003


  • Correlations
  • Neural networks
  • Weiner analysis
  • White noise


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