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Related papers: A Direct Construction of Cross Z-Complementary Seq…

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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

This paper presents a direct construction of an optimal symmetrical Z-complementary code set (SZCCS) of prime power lengths using a multi-variable function (MVF). SZCCS is a natural extension of the Z-complementary code set (ZCCS), which…

Information Theory · Computer Science 2023-05-03 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

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

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

Z-complementary code set (ZCCS), an extension of perfect complementary codes (CCs), refers to a set of two-dimensional matrices having zero correlation zone properties. ZCCS can be used in various multi-channel systems to support, for…

Information Theory · Computer Science 2019-11-11 Palash Sarkar , Sudhan Majhi , Zilong Liu

Due to the zero nontrivial aperiodic correlation of complete complementary code (CCCs), it is used in asynchronous multi carrier code division multiple access (MC-CDMA) communication to provide zero interference performance. However, there…

Information Theory · Computer Science 2021-05-24 Bingsheng Shen , Yang Yang , Zhengchun Zhou

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

Mutually orthogonal complementary sets (MOCSs) and Z-complementary code sets (ZCCSs) have many applications in practical scenarios such as synthetic aperture imaging systems and multi-carrier code division multiple access (MC-CDMA) systems.…

Information Theory · Computer Science 2023-08-10 Hongyang Xiao , Xiwang Cao

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

In this paper, we present a new family of cross $Z$-complementary pairs (CZCPs) based on generalized Boolean functions and two roots of unity. Our key idea is to consider an arbitrary partition of the set $\{1,2,\cdots, n\}$ with two…

Information Theory · Computer Science 2023-08-15 Shibsankar Das , Adrish Banerjee , Zilong Liu

In recent years, complementary sequence sets have found many important applications in multi-carrier code-division multiple-access (MC-CDMA) systems for their good correlation properties. In this paper, we propose a construction, which can…

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

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

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

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

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

Z-complementary code set (ZCCS) are well known to be used in multicarrier code-division multiple access (MCCDMA) system to provide a interference free environment. Based on the existing literature, the direct construction of optimal ZCCSs…

Information Theory · Computer Science 2022-04-20 Gobinda Ghosh , Sudhan Majhi , Palash Sarkar , Ashish Kumar Upadhyay

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
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