A note on low correlation zone signal sets

Guang Gong; Solomon W. Golomb; Hong Yeop Song

doi:10.1109/CISS.2006.286380

A note on low correlation zone signal sets

Guang Gong, Solomon W. Golomb, Hong Yeop Song

Department of Electrical and Electronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

In this note, 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 [2]. This results in low correlation zone 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 q-th root of unity. We also provide two open problems along this direction.

Original language	English
Title of host publication	2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1516-1521
Number of pages	6
ISBN (Print)	1424403502, 9781424403509
DOIs	https://doi.org/10.1109/CISS.2006.286380
Publication status	Published - 2006 Jan 1
Event	2006 40th Annual Conference on Information Sciences and Systems, CISS 2006 - Princeton, NJ, United States Duration: 2006 Mar 22 → 2006 Mar 24

Publication series

Name	2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings

Other

Other	2006 40th Annual Conference on Information Sciences and Systems, CISS 2006
Country/Territory	United States
City	Princeton, NJ
Period	06/3/22 → 06/3/24

All Science Journal Classification (ASJC) codes

Computer Science(all)

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10.1109/CISS.2006.286380

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Gong, G., Golomb, S. W., & Song, H. Y. (2006). A note on low correlation zone signal sets. In 2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings (pp. 1516-1521). [4068046] (2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CISS.2006.286380

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title = "A note on low correlation zone signal sets",

abstract = "In this note, 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 [2]. This results in low correlation zone 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 q-th root of unity. We also provide two open problems along this direction.",

author = "Guang Gong and Golomb, {Solomon W.} and Song, {Hong Yeop}",

year = "2006",

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day = "1",

doi = "10.1109/CISS.2006.286380",

language = "English",

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series = "2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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note = "2006 40th Annual Conference on Information Sciences and Systems, CISS 2006 ; Conference date: 22-03-2006 Through 24-03-2006",

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Gong, G, Golomb, SW & Song, HY 2006, A note on low correlation zone signal sets. in 2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings., 4068046, 2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 1516-1521, 2006 40th Annual Conference on Information Sciences and Systems, CISS 2006, Princeton, NJ, United States, 06/3/22. https://doi.org/10.1109/CISS.2006.286380

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

2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2006. p. 1516-1521 4068046 (2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Gong, Guang

AU - Golomb, Solomon W.

AU - Song, Hong Yeop

PY - 2006/1/1

Y1 - 2006/1/1

N2 - In this note, 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 [2]. This results in low correlation zone 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 q-th root of unity. We also provide two open problems along this direction.

AB - In this note, 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 [2]. This results in low correlation zone 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 q-th root of unity. We also provide two open problems along this direction.

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M3 - Conference contribution

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SN - 9781424403509

T3 - 2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings

SP - 1516

EP - 1521

BT - 2006 IEEE Conference on Information Sciences and Systems, CISS 2006 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2006 40th Annual Conference on Information Sciences and Systems, CISS 2006

Y2 - 22 March 2006 through 24 March 2006

ER -

A note on low correlation zone signal sets

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