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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

One objective of this paper is to propose a novel class of sequence pairs, called "Quasi-orthogonal Z-complementary pairs (QOZCPs)", each depicting Z-complementary property for their aperiodic auto-correlation sums and also have a zero…

Information Theory · Computer Science 2020-05-05 Jiahuan Wang , Pingzhi Fan , Zhengchun Zhou , Yang Yang

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

In this paper, we propose a sequence construction framework that extends prime-length Bj\"orck sequences, a class of Constant Amplitude Zero Autocorrelation (CAZAC) sequences, to arbitrary lengths using Goldbach's conjecture for even and…

Signal Processing · Electrical Eng. & Systems 2026-05-29 Harish K. Dureppagari , Chiranjib Saha , R. Michael Buehrer , Harpreet S. Dhillon

Constant amplitude zero auto-correlation (CAZAC) sequences are widely applied in waveforms for radar and communication systems. Motivated by a recent work [Berggren and Popovi\'c, IEEE Trans. Inf. Theory 70(8), 6068-6075 (2024)], this paper…

Information Theory · Computer Science 2026-01-21 Qin Yuan , Chunlei Li , Xiangyong Zeng

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

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

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

Constant amplitude zero autocorrelation (CAZAC) sequences have modulus one and ideal periodic autocorrelation function. Such sequences are used in cellular radio communications systems, e.g., for reference signals, synchronization signals…

Information Theory · Computer Science 2024-04-29 Fredrik Berggren , Branislav M. Popovic

We will investigate practical aspects for a recently introduced blind (noncoherent) communication scheme, called modulation on conjugate-reciprocal zeros (MOCZ), which enables reliable transmission of sporadic and short-packets at ultra-low…

Information Theory · Computer Science 2019-02-11 Philipp Walk , Peter Jung , Babak Hassibi , Hamid Jafarkhani

In this work, we propose a waveform based on Modulation on Conjugate-reciprocal Zeros (MOCZ) originally proposed for short-packet communications in [1], as a new Integrated Sensing and Communication (ISAC) waveform. Having previously…

Information Theory · Computer Science 2023-07-06 Saeid K. Dehkordi , Peter Jung , Philipp Walk , Dennis Wieruch , Kai Heuermann , Giuseppe Caire

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

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

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

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

We develop a theory of two-dimensional Bloch-Landau-Zener (BLZ) oscillations of wavepackets in incommensurate moir\'e lattices under the influence of a weak linear gradient. Unlike periodic systems, aperiodic lattices lack translational…

Zero-lag synchronization (ZLS) is achieved in a very restricted mutually coupled chaotic systems, where the delays of the self-coupling and the mutual coupling are identical or fulfil some restricted ratios. Using a set of multiple…

Chaotic Dynamics · Physics 2008-11-26 Meital Zigzag , Maria Butkovski , Anja Englert , Wolfgang Kinzel , Ido Kanter

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

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

Unimodular sequences with low autocorrelations are desired in many applications, especially in the area of radar and code-division multiple access (CDMA). In this paper, we propose a new algorithm to design unimodular sequences with low…

Optimization and Control · Mathematics 2023-07-19 Junxiao Song , Prabhu Babu , Daniel P. Palomar