RELIABILITY BOUNDS FOR POLYPHASE CODES FOR THE GAUSSIAN CHANNEL.

Abstract

Upper and lower bounds on reliability, similar to those given by Shannon (B.S.T.J. 38, 1959, pp. 611-656) are derived and computed for several classes of codes for the gaussian channel which are more restrictive than the classes considered by Shannon. Curves, which include Shannon's results for comparison, are given for selected values of signal-to-noise power ratio ranging from zero to 256. The classes of codes include 1) codes in which all coordinates of each code vector are either = P, where P is the signal power, 2) codes in which successive pairs of coordinates in each code vector are chosen as coordinates of q equally spaced points on a circle, and 3) codes in which successive sets of m coordinates of each code vector are chosen arbitrarily from an m-dimensional sphere. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 25, 1965
Accession Number
AD0626732

Entities

People

  • Tadao Kasami
  • Wesley W. Peterson

Organizations

  • University of HawaiĘ»i System

Tags

DTIC Thesaurus Topics

  • Gaussian Channels

Readers

  • Calculus or Mathematical Analysis
  • Computer Programming and Software Development.
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space