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Sequence Designs of Ultra-Wideband Impulse Radio With Optimal Co-relation Properties

Wensong Chu and Charles Colbourn. Sequence Designs of Ultra-Wideband Impulse Radio With Optimal Co-relation Properties. IEEE Transactions on Information Theory, 50(10):2402–2408, October 2004.

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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 contruction for Costas arrays, a quadratic polymomial contruction over finite fields,recursive techniques for optical orthogonal codes,and combinatorial design techniques using perfect Mendelsohn designs(PMDs).

BibTeX

@article{chu04sequence,
 AUTHOR = "Wensong Chu and Charles Colbourn",
 TITLE = "Sequence Designs of Ultra-Wideband Impulse Radio With Optimal Co-relation Properties",
 JOURNAL = {IEEE Transactions on Information Theory},
 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 contruction for Costas arrays, a quadratic polymomial
   contruction over finite fields,recursive techniques for optical orthogonal codes,and combinatorial
   design techniques using perfect Mendelsohn designs(PMDs).},
 VOLUME = 50,
 NUMBER = 10,
 PAGES = {2402--2408},
 YEAR = 2004,
 MONTH = oct,
 bib2html_pubtype = {Journal Articles},
 bib2html_rescat = {Other},
 bib2html_dl_pdf = "http://www.costasarrays.org/costasrefs/chu04sequence.pdf",
}

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