A note on low-correlation zone signal sets

Guang Gong, Solomon W. Golomb, Hong Yeop Song

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

In this correspondence, we present a connection between designing low-correlation zone (LCZ) sequences and the results of correlation of sequences with subfield decompositions presented in a recent book by the first two authors. This results in LCZ signal sets with huge sizes over three different alphabetic sets: finite field of size q, integer residue ring modulo q, and the subset in the complex field which consists of powers of a primitive qth root of unity. We show a connection between these sequence designs and "completely noncyclic" Hadamard matrices and a construction for those sequences. We also provide some open problems along this direction.

Original languageEnglish
Pages (from-to)2575-2581
Number of pages7
JournalIEEE Transactions on Information Theory
Volume53
Issue number7
DOIs
Publication statusPublished - 2007 Jul 1

Fingerprint

Hadamard matrices
Decomposition

All Science Journal Classification (ASJC) codes

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

Cite this

Gong, Guang ; Golomb, Solomon W. ; Song, Hong Yeop. / A note on low-correlation zone signal sets. In: IEEE Transactions on Information Theory. 2007 ; Vol. 53, No. 7. pp. 2575-2581.
@article{c9e8eb46cdc84abfa0d7116045081e5e,
title = "A note on low-correlation zone signal sets",
abstract = "In this correspondence, we present a connection between designing low-correlation zone (LCZ) sequences and the results of correlation of sequences with subfield decompositions presented in a recent book by the first two authors. This results in LCZ signal sets with huge sizes over three different alphabetic sets: finite field of size q, integer residue ring modulo q, and the subset in the complex field which consists of powers of a primitive qth root of unity. We show a connection between these sequence designs and {"}completely noncyclic{"} Hadamard matrices and a construction for those sequences. We also provide some open problems along this direction.",
author = "Guang Gong and Golomb, {Solomon W.} and Song, {Hong Yeop}",
year = "2007",
month = "7",
day = "1",
doi = "10.1109/TIT.2007.899538",
language = "English",
volume = "53",
pages = "2575--2581",
journal = "IEEE Transactions on Information Theory",
issn = "0018-9448",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "7",

}

A note on low-correlation zone signal sets. / Gong, Guang; Golomb, Solomon W.; Song, Hong Yeop.

In: IEEE Transactions on Information Theory, Vol. 53, No. 7, 01.07.2007, p. 2575-2581.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A note on low-correlation zone signal sets

AU - Gong, Guang

AU - Golomb, Solomon W.

AU - Song, Hong Yeop

PY - 2007/7/1

Y1 - 2007/7/1

N2 - In this correspondence, we present a connection between designing low-correlation zone (LCZ) sequences and the results of correlation of sequences with subfield decompositions presented in a recent book by the first two authors. This results in LCZ signal sets with huge sizes over three different alphabetic sets: finite field of size q, integer residue ring modulo q, and the subset in the complex field which consists of powers of a primitive qth root of unity. We show a connection between these sequence designs and "completely noncyclic" Hadamard matrices and a construction for those sequences. We also provide some open problems along this direction.

AB - In this correspondence, we present a connection between designing low-correlation zone (LCZ) sequences and the results of correlation of sequences with subfield decompositions presented in a recent book by the first two authors. This results in LCZ signal sets with huge sizes over three different alphabetic sets: finite field of size q, integer residue ring modulo q, and the subset in the complex field which consists of powers of a primitive qth root of unity. We show a connection between these sequence designs and "completely noncyclic" Hadamard matrices and a construction for those sequences. We also provide some open problems along this direction.

UR - http://www.scopus.com/inward/record.url?scp=34447525443&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34447525443&partnerID=8YFLogxK

U2 - 10.1109/TIT.2007.899538

DO - 10.1109/TIT.2007.899538

M3 - Article

AN - SCOPUS:34447525443

VL - 53

SP - 2575

EP - 2581

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

SN - 0018-9448

IS - 7

ER -