New optimal binary Z-complementary pairs of odd lengths

Avik R. Adhikary; Sudhan Majhi; Zilong Liu; Yong Liang Guan

doi:10.1109/IWSDA.2017.8095727

New optimal binary Z-complementary pairs of odd lengths

Avik R. Adhikary, Sudhan Majhi, Zilong Liu, Yong Liang Guan

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

17 Citations (Scopus)

Abstract

Existing systematic constructions of optimal odd-length binary Z-complementary pairs (OBZCPs) only generate pairs with lengths 2^α + 1 (where α is a non-negative integer). In this paper, we propose a new construction of optimal OBZCPs having generic lengths of 2^α10^β 26^γ + 1, α ≥ 1 (where α, β and γ are non-negative integers). This is achieved with the aid of several interesting intrinsic structure properties of Golay complementary pairs obtained from Turyn's method.

Original language	English
Title of host publication	2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	14-18
Number of pages	5
ISBN (Electronic)	9781509065332
DOIs	https://doi.org/10.1109/IWSDA.2017.8095727
Publication status	Published - Nov 3 2017
Externally published	Yes
Event	8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017 - Sapporo, Japan Duration: Sept 24 2017 → Sept 28 2017

Publication series

Name	2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017

Conference

Conference	8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017
Country/Territory	Japan
City	Sapporo
Period	9/24/17 → 9/28/17

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

ASJC Scopus Subject Areas

Signal Processing
Computer Networks and Communications

Keywords

Golay complementary pairs (GCPs)
Odd-length binary Z-complementary pairs (OBZCPs)
Turyn's method
Z-complementary pairs (ZCPs)
Zero correlation zone (ZCZ)

Access to Document

10.1109/IWSDA.2017.8095727

Cite this

Adhikary, A. R., Majhi, S., Liu, Z., & Guan, Y. L. (2017). New optimal binary Z-complementary pairs of odd lengths. In 2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017 (pp. 14-18). Article 8095727 (2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IWSDA.2017.8095727

Adhikary, Avik R. ; Majhi, Sudhan ; Liu, Zilong et al. / New optimal binary Z-complementary pairs of odd lengths. 2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 14-18 (2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017).

@inproceedings{167e528104244ccda1194bef6a555435,

title = "New optimal binary Z-complementary pairs of odd lengths",

abstract = "Existing systematic constructions of optimal odd-length binary Z-complementary pairs (OBZCPs) only generate pairs with lengths 2α + 1 (where α is a non-negative integer). In this paper, we propose a new construction of optimal OBZCPs having generic lengths of 2α10β 26γ + 1, α ≥ 1 (where α, β and γ are non-negative integers). This is achieved with the aid of several interesting intrinsic structure properties of Golay complementary pairs obtained from Turyn's method.",

keywords = "Golay complementary pairs (GCPs), Odd-length binary Z-complementary pairs (OBZCPs), Turyn's method, Z-complementary pairs (ZCPs), Zero correlation zone (ZCZ)",

author = "Adhikary, {Avik R.} and Sudhan Majhi and Zilong Liu and Guan, {Yong Liang}",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017 ; Conference date: 24-09-2017 Through 28-09-2017",

year = "2017",

month = nov,

day = "3",

doi = "10.1109/IWSDA.2017.8095727",

language = "English",

series = "2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017",

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

pages = "14--18",

booktitle = "2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017",

address = "United States",

}

Adhikary, AR, Majhi, S, Liu, Z & Guan, YL 2017, New optimal binary Z-complementary pairs of odd lengths. in 2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017., 8095727, 2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017, Institute of Electrical and Electronics Engineers Inc., pp. 14-18, 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017, Sapporo, Japan, 9/24/17. https://doi.org/10.1109/IWSDA.2017.8095727

New optimal binary Z-complementary pairs of odd lengths. / Adhikary, Avik R.; Majhi, Sudhan; Liu, Zilong et al.
2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 14-18 8095727 (2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017).

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

TY - GEN

T1 - New optimal binary Z-complementary pairs of odd lengths

AU - Adhikary, Avik R.

AU - Majhi, Sudhan

AU - Liu, Zilong

AU - Guan, Yong Liang

PY - 2017/11/3

Y1 - 2017/11/3

N2 - Existing systematic constructions of optimal odd-length binary Z-complementary pairs (OBZCPs) only generate pairs with lengths 2α + 1 (where α is a non-negative integer). In this paper, we propose a new construction of optimal OBZCPs having generic lengths of 2α10β 26γ + 1, α ≥ 1 (where α, β and γ are non-negative integers). This is achieved with the aid of several interesting intrinsic structure properties of Golay complementary pairs obtained from Turyn's method.

AB - Existing systematic constructions of optimal odd-length binary Z-complementary pairs (OBZCPs) only generate pairs with lengths 2α + 1 (where α is a non-negative integer). In this paper, we propose a new construction of optimal OBZCPs having generic lengths of 2α10β 26γ + 1, α ≥ 1 (where α, β and γ are non-negative integers). This is achieved with the aid of several interesting intrinsic structure properties of Golay complementary pairs obtained from Turyn's method.

KW - Golay complementary pairs (GCPs)

KW - Odd-length binary Z-complementary pairs (OBZCPs)

KW - Turyn's method

KW - Z-complementary pairs (ZCPs)

KW - Zero correlation zone (ZCZ)

UR - http://www.scopus.com/inward/record.url?scp=85040612818&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85040612818&partnerID=8YFLogxK

U2 - 10.1109/IWSDA.2017.8095727

DO - 10.1109/IWSDA.2017.8095727

M3 - Conference contribution

AN - SCOPUS:85040612818

T3 - 2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017

SP - 14

EP - 18

BT - 2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017

Y2 - 24 September 2017 through 28 September 2017

ER -

Adhikary AR, Majhi S, Liu Z, Guan YL. New optimal binary Z-complementary pairs of odd lengths. In 2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 14-18. 8095727. (2017 8th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2017). doi: 10.1109/IWSDA.2017.8095727

New optimal binary Z-complementary pairs of odd lengths

Abstract

Publication series

Conference

Bibliographical note

ASJC Scopus Subject Areas

Keywords

Access to Document

Other files and links

Fingerprint

Cite this