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Zero correlation zone (ZCZ) sequences and Golay complementary sequences are two kinds of sequences with different preferable correlation properties. Golay-ZCZ sequences are special kinds of complementary sequences which also possess a large…

Information Theory · Computer Science 2021-12-17 Zhi Gu , Zhengchun Zhou , Avik Ranjan Adhikary , Yanghe Feng , Pingzhi Fan

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 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

This paper is devoted to sequences and focuses on designing new two-dimensional (2-D) Z-complementary array pairs (ZCAPs) by exploring two promising approaches. A ZCAP is a pair of 2-D arrays, whose 2-D autocorrelation sum gives zero value…

Information Theory · Computer Science 2021-07-27 Hui Zhang , Cuiling Fan , Sihem Mesnager

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

Cross Z-complementary pairs (CZCPs) are a special kind of Z-complementary pairs (ZCPs) having zero autocorrelation sums around the in-phase position and end-shift position, also having zero cross-correlation sums around the end-shift…

Information Theory · Computer Science 2021-12-30 Hui Zhang , Cuiling Fan , Sihem Mesnager

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

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

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

This paper presents a novel class of complex-valued sparse complementary pairs (SCPs), each consisting of a number of zero values and with additional zero-correlation zone (ZCZ) property for the aperiodic autocorrelations and…

Information Theory · Computer Science 2023-05-02 Cheng-Yu Pai , Zilong Liu , Chunlei Li , Chao-Yu Chen

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

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

The zero correlation zone (ZCZ) ratio, i.e., the ratio of the width of the ZCZ and the length of the sequence plays a major role in reducing interference in an asynchronous environment of communication systems. However, to the best of the…

Combinatorics · Mathematics 2019-08-01 Avik Ranjan Adhikary , Palash Sarkar , Sudhan Majhi

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

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

Golay complementary pairs (GCPs) and complete complementary codes (CCCs) have found a wide range of practical applications in coding, signal processing and wireless communication due to their ideal correlation properties. In fact, binary…

Information Theory · Computer Science 2022-04-08 Praveen Kumar , Sudhan Majhi , Subhabrata Paul

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

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

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

Spatial modulation (SM) is a new paradigm of multiple-input multiple-output (MIMO) systems, in which only one antenna at the transmitter is activated during each symbol period. Recently, it is observed that SM training sequences derived…

Information Theory · Computer Science 2021-05-24 Avik Ranjan Adhikary , Zhengchun Zhou , Yang Yang , Pingzhi Fan
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