On the Reconstruction of the Covariance of Stationary Gaussian Processes Observed Through Zero Memory Nonlinearities. Part II.

Abstract

We consider the problem of reconstructing the variance R(0) of a zero mean stationary Gaussian process observed through a zero memory nonlinearity f(x), from the knowledge of f and the first two moments of the output process. The reconstruction is shown to be feasible for certain interval windows, convex nonlinearities and discontinuous unimodal nonlinearities. The paper is the completion of the investigation begun in Cambanis and Masry (1978) where the reconstruction of the normalized covariance R(t)/R(0) was considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA059395

Entities

People

  • Elias Masry
  • Stamatis Cambanis

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Covariance
  • Data Science
  • Gaussian Processes
  • Information Science
  • Interdisciplinary Science
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Stationary
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.