Capacity of the Stationary Gaussian Channel

Abstract

Information capacity of the stationary Gaussian channel is determined under the assumption that both the channel noise and the constraint are defined by rational spectral densities. The results complement a well-known result to Holsinger and Gallager. The new results given here show that (1) Attention can be restricted to wide sense stationary signals; (2) The new results for the value of the capacity are complementary (under the assumptions used here) to the result of Holsinger and Gallager; together, these results exhaust all possible values of the capacity; (3) The constraints permitted in obtaining Theorem 3 enable the signal process to use more of the available noise bandwidth than signal processes obeying the constraints of the Holsinger-Gallager model; if there is freedom to choose the constraint, then the capacity can be increased by using a constraint as in Theorem 3. Information theory.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1988
Accession Number
ADA207254

Entities

People

  • C. R. Baker
  • S. Ihara

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Classification
  • Covariance
  • Data Science
  • Gaussian Channels
  • Information Science
  • Information Theory
  • Integrals
  • Mathematics
  • North Carolina
  • Polynomials
  • Probability
  • Security
  • Stationary Processes
  • Statistical Analysis
  • Statistics
  • Stochastic Processes
  • Theorems

Readers

  • Mathematical Modeling and Probability Theory.
  • Operations Research