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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

Spectrally constrained sequences (SCSs) play an important role in modern communication and radar systems operating over non-contiguous spectrum. Despite numerous research attempts over the past years, very few works are known on the…

Information Theory · Computer Science 2022-09-27 Zhifan Ye , Zhengchun Zhou , Zilong Liu , Xiaohu Tang , Pingzhi Fan

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

This paper introduces a novel finite Zak transform (FZT)-aided framework for constructing multiple zero-correlation zone (ZCZ) sequence sets with optimal correlation properties. Specifically, each sequence is perfect with zero…

Information Theory · Computer Science 2026-01-27 Xiuping Peng , Congying Wu , Zilong Liu , Chunlei Li , Jianye Zhang , Xiangjun Li , Pingzhi Fan

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

This paper aims to construct optimal Z-complementary code set (ZCCS) with non-power-of-two (NPT) lengths to enable interference-free multicarrier code-division multiple access (MC-CDMA) systems. The existing ZCCSs with NPT lengths, which…

Information Theory · Computer Science 2021-04-21 Palash Sarkar , Sudhan Majhi , Zilong Liu

In this study, we propose a flexible construction of complementary sequences (CSs) that can contain zero-valued elements. To derive the construction, we use Boolean functions to represent a polynomial generated with a recursion. By applying…

Information Theory · Computer Science 2021-08-05 Alphan Sahin , Rui Yang

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

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

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

In this letter, we propose a novel construction of type-II $Z$-complementary code set (ZCCS) having arbitrary sequence length using the Kronecker product between a complete complementary code (CCC) and mutually orthogonal uni-modular…

Information Theory · Computer Science 2024-05-15 Rajen Kumar , Sushant Kumar Jha , Prashant Kumar Srivastava , Sudhan Majhi

Multicarrier code-division multiple-access (MC-CDMA) combines an orthogonal frequency division multiplexing (OFDM) modulation and a code-division multiple-access (CDMA) scheme to exploits the benefits of both the technologies. The high…

Information Theory · Computer Science 2019-09-20 Palash Sarkar , Sudhan Majhi

In this paper, we propose a new and optimal construction of two-dimensional (2-D) Z-complementary array code set (ZCACS) using multivariable extended Boolean functions (EBFs). The proposed 2-D arrays have many applications in modern…

Information Theory · Computer Science 2025-09-03 Abhishek Roy

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

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

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

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

Z-complementary code sets (ZCCSs) are used in multicarrier code-division multiple access (MC-CDMA) systems, for interference-free communication over multiuser and quasi-asynchronous environments. In this letter, we propose three new…

Information Theory · Computer Science 2023-02-23 Gobinda Ghosh , Sudhan Majhi , Shubabrata Paul

Low-discrepancy sequences have seen widespread adoption in computer graphics thanks to their superior convergence rates. Since rendering integrals often comprise products of lower-dimensional integrals, recent work has focused on developing…

Graphics · Computer Science 2025-05-28 Abdalla G. M. Ahmed , Matt Pharr , Victor Ostromoukhov , Hui Huang

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