Constructions of Two-Dimensional Golay-ZCZ Array Sets Based on Generalized Boolean Functions

Aditya Prakash; Tzu Chieh Kao; Sudhan Majhi; Prashant Kumar Srivastava; Chao Yu Chen

doi:10.1109/LSP.2024.3516562

Constructions of Two-Dimensional Golay-ZCZ Array Sets Based on Generalized Boolean Functions

Aditya Prakash
, Tzu Chieh Kao
, Sudhan Majhi
, Prashant Kumar Srivastava
, Chao Yu Chen

Institute of Computer and Communication Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Golay sequences with the zero correlation zone (ZCZ), known as Golay-ZCZ sequences, play a pivotal role in reducing intersymbol interference (ISI) during the process of channel estimation in one dimension. Two-dimensional (2-D) Golay complementary array set (GCAS) within their ZCZ has the potential application in multiple input multiple output (MIMO) omnidirectional transmission. In this letter, 2-D Golay-ZCZ array set is constructed by using generalized Boolean function (GBF) without utilizing any kernels. The proposed construction provides 2-D Golay-ZCZ array set with various array sizes and large ZCZ sizes. Also, we get the one dimensional (1-D) Golay- ZCZ sequence set as a special case of the proposed construction.

Original language	English
Pages (from-to)	321-325
Number of pages	5
Journal	IEEE Signal Processing Letters
Volume	32
DOIs	https://doi.org/10.1109/LSP.2024.3516562
Publication status	Published - 2025

All Science Journal Classification (ASJC) codes

Signal Processing
Electrical and Electronic Engineering
Applied Mathematics

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10.1109/LSP.2024.3516562

Cite this

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title = "Constructions of Two-Dimensional Golay-ZCZ Array Sets Based on Generalized Boolean Functions",

abstract = "Golay sequences with the zero correlation zone (ZCZ), known as Golay-ZCZ sequences, play a pivotal role in reducing intersymbol interference (ISI) during the process of channel estimation in one dimension. Two-dimensional (2-D) Golay complementary array set (GCAS) within their ZCZ has the potential application in multiple input multiple output (MIMO) omnidirectional transmission. In this letter, 2-D Golay-ZCZ array set is constructed by using generalized Boolean function (GBF) without utilizing any kernels. The proposed construction provides 2-D Golay-ZCZ array set with various array sizes and large ZCZ sizes. Also, we get the one dimensional (1-D) Golay- ZCZ sequence set as a special case of the proposed construction.",

author = "Aditya Prakash and Kao, \{Tzu Chieh\} and Sudhan Majhi and Srivastava, \{Prashant Kumar\} and Chen, \{Chao Yu\}",

note = "Publisher Copyright: {\textcopyright} 2024 IEEE.",

year = "2025",

doi = "10.1109/LSP.2024.3516562",

language = "English",

volume = "32",

pages = "321--325",

journal = "IEEE Signal Processing Letters",

issn = "1070-9908",

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

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TY - JOUR

T1 - Constructions of Two-Dimensional Golay-ZCZ Array Sets Based on Generalized Boolean Functions

AU - Prakash, Aditya

AU - Kao, Tzu Chieh

AU - Majhi, Sudhan

AU - Srivastava, Prashant Kumar

AU - Chen, Chao Yu

PY - 2025

Y1 - 2025

N2 - Golay sequences with the zero correlation zone (ZCZ), known as Golay-ZCZ sequences, play a pivotal role in reducing intersymbol interference (ISI) during the process of channel estimation in one dimension. Two-dimensional (2-D) Golay complementary array set (GCAS) within their ZCZ has the potential application in multiple input multiple output (MIMO) omnidirectional transmission. In this letter, 2-D Golay-ZCZ array set is constructed by using generalized Boolean function (GBF) without utilizing any kernels. The proposed construction provides 2-D Golay-ZCZ array set with various array sizes and large ZCZ sizes. Also, we get the one dimensional (1-D) Golay- ZCZ sequence set as a special case of the proposed construction.

AB - Golay sequences with the zero correlation zone (ZCZ), known as Golay-ZCZ sequences, play a pivotal role in reducing intersymbol interference (ISI) during the process of channel estimation in one dimension. Two-dimensional (2-D) Golay complementary array set (GCAS) within their ZCZ has the potential application in multiple input multiple output (MIMO) omnidirectional transmission. In this letter, 2-D Golay-ZCZ array set is constructed by using generalized Boolean function (GBF) without utilizing any kernels. The proposed construction provides 2-D Golay-ZCZ array set with various array sizes and large ZCZ sizes. Also, we get the one dimensional (1-D) Golay- ZCZ sequence set as a special case of the proposed construction.

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DO - 10.1109/LSP.2024.3516562

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EP - 325

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

ER -

Constructions of Two-Dimensional Golay-ZCZ Array Sets Based on Generalized Boolean Functions

Abstract

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