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Zero correlation zone (ZCZ) sequences and Golay sequences are two kinds of sequences with different preferable correlation properties. It was shown by Gong \textit{et al.} and Chen \textit{et al.} that some Golay sequences also possess a…

Information Theory · Computer Science 2021-08-16 Zhi Gu , Zhengchun Zhou , Avik Ranjan Adhikary , Yanghe Feng , Pingzhi Fan

In this paper, we propose a direct construction of a novel type of code set, which has combined properties of complete complementary code (CCC) and zero-correlation zone (ZCZ) sequences and called it complete complementary-ZCZ (CC-ZCZ) code…

Information Theory · Computer Science 2022-07-28 Nishant Kumar , Sudhan Majhi , A. K. Upadhyay

In this paper, for the first time, we present a direct and new construction of multiple zero-correlation zone (ZCZ) sequence sets with inter-set zero-cross correlation zone (ZCCZ) from generalised Boolean function. Tang \emph{et al.} in…

Information Theory · Computer Science 2023-02-07 Nishant Kumar , Sudhan Majhi , Ashish K. Upadhyay

A pair of sequences is called a Z-complementary pair (ZCP) if it has zero aperiodic autocorrelation sums (AACSs) for time-shifts within a certain region, called zero correlation zone (ZCZ). Optimal odd-length binary ZCPs (OB-ZCPs) display…

Information Theory · Computer Science 2019-09-24 Avik Ranjan Adhikary , Sudhan Majhi , Zilong Liu , Yong Liang Guan

A method for constructing sets of sequences with zero-correlation zone (ZCZ sequences) and sequence sets with low cross correlation is proposed. The method is to use families of short sequences and complete orthogonal sequence sets to…

Information Theory · Computer Science 2007-07-13 Xiangyong Zeng , Lei Hu , Qingchong Liu

In this paper, we propose three classes of systematic approaches for constructing zero correlation zone (ZCZ) sequence families. In most cases, these approaches are capable of generating sequence families that achieve the upper bounds on…

Information Theory · Computer Science 2016-11-17 Yen-Cheng Liu , Ching-Wei Chen , Yu T. Su

A pair of sequences is called a Z-complementary pair (ZCP) if it has zero aperiodic autocorrelation sums at each of the non-zero time-shifts within {a} certain region, called the zero correlation zone (ZCZ). ZCPs are categorised into two…

Information Theory · Computer Science 2020-04-14 Zhi Gu , Zhengchun Zhou , Qi Wang , Pingzhi Fan

We introduce a construction for periodic zero correlation zone (ZCZ) sequences over roots of unity. The sequences share similarities to the perfect periodic sequence constructions of Liu, Frank, and Milewski. The sequences have two non-zero…

Information Theory · Computer Science 2012-12-04 Samuel T. Blake , Andrew Z. Tirkel

This letter proposes a direct construction for cross Z-complementary sets (CZCSs) with flexible lengths and a large zero correlation zone (ZCZ). CZCS is an extension of the cross Z-complementary pair (CZCP). The maximum possible ZCZ width…

Information Theory · Computer Science 2022-07-26 Praveen Kumar , Sudhan Majhi , Subhabrata Paul

Sequences with good correlation properties have been widely adopted in modern communications, radar and sonar applications. In this paper, we present our new findings on some constructions of single $H$-ary Golay sequence and $4^q$-QAM…

Information Theory · Computer Science 2011-06-24 Guang Gong , Fei Huo , Yang Yang

In recent years, traditional zero-correlation zone (ZCZ) sequences are being studied due to support interference-free quasi-synchronous code division multiple access (QS-CDMA) systems. However, in cognitive radio (CR) network, it is…

Information Theory · Computer Science 2023-09-06 Nishant Kumar , Palash Sarkar , Sudhan Majhi

The contributions of this paper are twofold: Firstly, we introduce a novel class of sequence pairs, called "cross Z-complementary pairs (CZCPs)", each displaying zero-correlation zone (ZCZ) properties for both their aperiodic…

Information Theory · Computer Science 2020-04-22 Zilong Liu , Ping Yang , Yong Liang Guan , Pei Xiao

This letter presents a direct construction of cross Z-complementary sequence sets (CZCSSs), whose aperiodic correlation sums exhibit zero correlation zones at both the front-end and tail-end shifts. CZCSS can be regarded as an extension of…

Information Theory · Computer Science 2022-07-07 Praveen Kumar , Sudhan Majhi , Subhabrata Paul

Sequences with low/zero ambiguity zone (LAZ/ZAZ) properties are useful in modern communication and radar systems operating over mobile environments. This paper first presents a new family of ZAZ sequence sets motivated by the ``modulating''…

Information Theory · Computer Science 2025-03-20 Liying Tian , Xiaoshi Song , Zilong Liu , Yubo Li

In this paper, a new construction of interference-free zero correlation zone (IF-ZCZ) sequence sets is proposed by well designed finite Zak transform lattice tessellation. Each set is characterized by the period of sequences $KM^2$, the set…

Information Theory · Computer Science 2020-05-13 Qiping Fang , Zilong Wang

In this paper, a simple construction of interference-free zero correlation zone (IF-ZCZ) sequence sets is proposed by well designed finite Zak transform lattice tessellation. Each set is characterized by the period of sequences $KM$, the…

Signal Processing · Electrical Eng. & Systems 2022-03-01 Qiping Fang , Zilong Wang

This paper aims to search for new optimal and sub-optimal Odd Binary Z-Complimentary Pairs (OBZCPs) for lengths up to 49. As an alternative to the celebrated binary Golay complementary pairs, optimal OBZCPs are the best almost-complementary…

Information Theory · Computer Science 2024-11-14 Peter Kazakov , Zilong Liu

Generalized spatial modulation (GSM) is a novel multiple-antenna technique offering flexibility among spectral efficiency, energy efficiency, and the cost of RF chains. In this paper, a novel class of sequence sets, called enhanced cross…

Information Theory · Computer Science 2023-12-04 Zhen-Ming Huang , Cheng-Yu Pai , Zilong Liu , Chao-Yu Chen

A general construction of a set of time-domain sequences with sparse periodic correlation functions, having multiple segments of consecutive zero-values, i.e. multiple zero correlation zones (ZCZs), is presented. All such sequences have a…

Information Theory · Computer Science 2020-07-17 Branislav M. Popovic , Peng Wang , Fredrik Berggren , Renaud-Alexandre Pitaval

This paper introduces a novel class of code sets, called "symmetrical Z-complementary code sets (SZCCSs)" , whose aperiodic auto- and cross- correlation sums exhibit zero-correlation zones (ZCZs) at both the front-end and tail-end of the…

Information Theory · Computer Science 2022-03-28 Yajing Zhou , Zhengchun Zhou , Zilong Liu , Yang Yang , Ping Yang , Pingzhi Fan
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