GENERALIZED CODING AND UNIFORM FINITE MEMORY CODES

Abstract

A general framework for encoding and decoding is presented which includes block coding. The key concept used with the generalized codes is that of decoding rate. A weak converse is proven using decoding rate which shows that channel capacity for the generalized codes is the same as the usual block coding channel capacity C for a discrete memoryless channel. Uniform finite memory codes are defined from the general frame work after several motivating definitions of properties which seem natural to require of any code. Channel capacity C sub u is defined for these codes but what its value is remains an open qu. A class of channels is given for which C sub u is nonzero for each member of the class. From the converse it is known that C sub u is equal to or less than C.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1962
Accession Number
AD0408706

Entities

People

  • T. J. Wagner

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Human Systems
  • Weapons Technologies

DTIC Thesaurus Topics

  • California
  • Channel Capacity
  • Coders
  • Coding
  • Computer Programming
  • Contracts
  • Decoding
  • Government Procurement
  • Governments
  • Inequalities
  • New Jersey
  • New York
  • Notation
  • Probability
  • Probability Distributions
  • Random Variables
  • United States

Fields of Study

  • Mathematics

Readers

  • Computer Programming and Software Development.
  • Mathematical Modeling and Probability Theory.
  • Radio communications and signal processing.