Signal Designs via Combinatorial Designs

Abstract

This report describes progress to date on designing signals using combinatorial designs. We shall regard signal design problems as The Correlation Problem . The Correlation Problem is to design sequences with specified lengths with entries chosen from a specified finite set so that all non-trivial periodic autocorrelations lie in a prescribed restrictive set. Mathematical tools from algebraic number theory, representation theory and group theory are employed to investigate the theory of their existence leading to new families of these arrays and some generalizations thereof. The major task of this project is to design signals based on complex roots of unity. The relevant research resulted in many papers that have been published based on this effort.

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Document Details

Document Type
Technical Report
Publication Date
Feb 24, 2012
Accession Number
ADA565744

Entities

People

  • K. T. Arasu

Organizations

  • Wright State University

Tags

Communities of Interest

  • Biomedical
  • Cyber
  • Sensors
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Antenna Arrays
  • Applied Mathematics
  • Autocorrelation
  • Computational Science
  • Data Science
  • Engineering
  • Information Science
  • Information Security
  • Mathematical Analysis
  • Mathematics
  • Number Theory
  • Numbers
  • Radar
  • Sequences
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • Software Engineering