White noise analysis of coupled linear-nonlinear systems

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume63
Issue number4
DOIs
StatePublished - Mar 1 2003

Fingerprint

White Noise Analysis
White noise
Nonlinear systems
Nonlinear Systems
Linear Systems
Asymptotic analysis
Asymptotic Analysis
Neurons
Neuron
Brain
Statistics
Output
Model

Keywords

  • Correlations
  • Neural networks
  • Weiner analysis
  • White noise

Cite this

White noise analysis of coupled linear-nonlinear systems. / Nykamp, Duane Q.

In: SIAM Journal on Applied Mathematics, Vol. 63, No. 4, 01.03.2003, p. 1208-1230.

Research output: Contribution to journalArticle

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