Sequence designs for ultra-wideband impulse radio with optimal correlation properties

Wensong Chu, Charles Colbourn

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We formulate a combinatorial model of impulse radio sequences (IRSs) to study sequence or signal design for ultra-wideband (UWB) radio with unmodulated time hopping. Using this combinatorial model for IRSs, we develop necessary and sufficient conditions for the existence of IRSs. Several novel constructions for IRSs with optimal correlation properties are given. The constructions involve the Welch construction for Costas arrays, a quadratic polynomial construction over finite fields, recursive techniques for optical orthogonal codes, and combinatorial design techniques using perfect Mendelsohn designs (PMDs).

Original languageEnglish (US)
Pages (from-to)2402-2407
Number of pages6
JournalIEEE Transactions on Information Theory
Volume50
Issue number10
DOIs
StatePublished - Oct 1 2004

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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