Signal Reconstruction After Noisy Nonlinear Transformations

Abstract

A deterministic signal in zero means Gaussian noise N is observed through a zero memory nonlinearity f(x). The reconstruction of the signal is considered when the nonlinearity, the noise covariance and the first or second order moments of the output process f(s+n) are known. Arbitrary signals can be reconstructed for monotonic and certain odd, not necessarily monotonic, nonlinearities; included here are hard limiters, quantizers and infinite interval windows. Arbitrary signals can be reconstructed, up to a global sign, for two distinct classes of even nonlinearities; included here are 2v-th law devices and symmetric interval windows. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA060426

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

  • Additives (Chemicals)
  • Air Force
  • Coefficients
  • Convergence
  • Covariance
  • Data Science
  • Gaussian Noise
  • Gaussian Processes
  • Inequalities
  • Information Science
  • Intervals
  • Noise
  • Nonlinear Systems
  • North Carolina
  • Random Variables
  • Scientific Research
  • Statistics

Readers

  • Approximation Theory.