New Bounds on the Total-Squared-Correlation of Quaternary Signature Sets and Optimal Designs

Abstract

We derive new bounds on the total squared correlation (TSC) of quaternary (quadriphase) signature/sequence sets for all lengths and set sizes. Then we design minimum-TSC optimal sets that meet the new bounds with equality. Direct numerical comparison with the TSC value of the recently obtained optimal bindary sets shows what gains are materialized by moving from the binary to the quaternary code-division multiplexing alphabet. On the other hand, comparison with the Welch TSC value for real/complex-field sets shows that, arguably, not much is to be gained by raising the alphabet size above four.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2010
Accession Number
ADA517398

Entities

People

  • Dimitris A. Pados
  • John D. Matyjas
  • Ming Li
  • Stella N. Batalama

Organizations

  • University at Buffalo

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Alphabets
  • Code Division Multiplexing
  • Communication Systems
  • Cross Correlation
  • Electrical Engineering
  • Electronic Mail
  • Engineering
  • Finite Alphabet
  • Global Communications
  • Government Employees
  • Governments
  • Military Research
  • Multiplexing
  • New York
  • Sequences

Readers

  • Aquatic Ecology
  • Mathematical Modeling and Probability Theory.
  • Radio communications and signal processing.