Coding Capacity for a Class of Additive Channels

Abstract

Coding capacity is determined for a class of additive Gaussian channels, and bounds on capacity are obtained for a class of nonGaussian channels. The channels may be with or without memory, stationary or nonstationary. The constraint is partially given in terms of an increasing family of finite-dimensional subspaces. A general expression for the capacity is obtained, which depends upon the relation between the noise covariance and the constraint on the generalized signal-to-noise energy ratio for the code words. The well-known expression for capacity of the discrete-time stationary Gaussian channel is shown to be a special case. The general expression provides new results on capacity for nonstationary discrete-time channels and for continuous- time channels (stationary or nonstationary) with fixed time of transmission. jhd)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1989
Accession Number
ADA215054

Entities

People

  • Charles R. Baker

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Artificial Satellites
  • Coding
  • Covariance
  • Data Science
  • Decoding
  • Distribution Functions
  • Eigenvalues
  • Gaussian Channels
  • Gaussian Processes
  • Information Science
  • Probability
  • Probability Distributions
  • Random Variables
  • Stationary
  • Statistics
  • Stochastic Processes

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Radio communications and signal processing.
  • Statistical inference.