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The construction of complementary sets (CSs) of sequences with different set size and sequence length become important due to its practical application for OFDM systems. Most of the constructions of CSs, based on generalized Boolean…

Information Theory · Computer Science 2020-02-19 Gaoxiang Wang , Avik Ranjan Adhikary , Zhengchun Zhou , Yang Yang

3-phase Golay sequence and array triads are a natural generalisation of 2-phase Golay sequence pairs, yet their study has until now been largely neglected. We present exhaustive search results for 3-phase Golay sequence triads for all…

Combinatorics · Mathematics 2019-10-15 Aki Ayukawa Avis , Jonathan Jedwab

In this paper, a recent method to construct complementary sequence sets and complete complementary codes by Hadamard matrices is deeply studied. By taking the algebraic structure of Hadamard matrices into consideration, our main result…

Information Theory · Computer Science 2020-05-13 Zilong Wang , Guang Gong

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

Pilot sequence design over doubly selective channels (DSC) is challenging due to the variations in both the time- and frequency-domains. Against this background, the contribution of this paper is twofold: Firstly, we investigate the optimal…

Information Theory · Computer Science 2024-09-27 Zhi Gu , Zhengchun Zhou , Pingzhi Fan , Avik Ranjan Adhikary , Zilong Liu

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

Construction of signal sets with low correlation property is of interest to designers of CDMA systems. One of the preferred ways of constructing such sets is the interleaved construction which uses two sequences a and b with 2-level…

Information Theory · Computer Science 2007-07-13 N Rajesh Pillai , Yogesh Kumar

Optical orthogonal codes (OOCs) are sets of $(0,1)$-sequences with good auto- and cross-correlation properties. They were originally introduced for use in multi-access communication, particularly in the setting of optical CDMA…

Combinatorics · Mathematics 2025-01-15 Sophie Huczynska , Siaw-Lynn Ng

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

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

Compared with the perfect complementary sequence sets, quasi-complementary sequence sets (QCSSs) can support more users to work in multicarrier CDMA communications. A near-optimal periodic QCSS is constructed in this paper by using an…

Information Theory · Computer Science 2017-07-18 Yu Li , Tongjiang Yan , Chuan Lv

Frequency-hopping sequences (FHSs) with low Hamming correlation and wide gaps significantly contribute to the anti-interference performance in FH communication systems. This paper investigates FHSs with optimal Hamming correlation and…

Information Theory · Computer Science 2025-06-03 Chen Li , Chunlei Li , Xiangyong Zeng , Dian Li

A family of binary sequences is presented and proved to have optimal correlation property and large linear span. It includes the small set of Kasami sequences, No sequence set and TN sequence set as special cases. An explicit lower bound…

Cryptography and Security · Computer Science 2016-09-07 Xiangyong Zeng , Lei Hu , Qingchong Liu

The autocorrelation of a Zadoff-Chu (ZC) sequence with a non-zero cyclically shifted version of itself is zero. Due to the interesting property, ZC sequences are widely used in the LTE air interface in the primary synchronization signal…

Information Theory · Computer Science 2016-04-07 Md Mashud Hyder , Kaushik Mahata

Golay complementary pair (GCP), first introduced by Golay in 1951, has been extensively studied and widely applied in communication systems. A $q$-ary GCP $\{\mathbf{A},\mathbf{B}\}$ consists of two $q$-ary complex sequences…

Information Theory · Computer Science 2026-04-17 Zhiye Yang , Keqin Feng

This paper presents a coding approach for achieving omnidirectional transmission of certain common signals in massive multi-input multi-output (MIMO) networks such that the received power at any direction in a cell remains constant for any…

Information Theory · Computer Science 2023-01-12 You-Qi Zhao , Cheng-Yu Pai , Zhen-Ming Huang , Zilong Liu , Chao-Yu Chen

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

A major drawback of orthogonal frequency division multiplexing (OFDM) systems is their high peak-to-mean envelope power ratio (PMEPR). The PMEPR problem can be solved by adopting large codebooks consisting of complementary sequences with…

Information Theory · Computer Science 2020-06-24 Palash Sarkar , Sudhan Majhi , Zilong Liu

Quasi-complementary sequence sets (QCSSs) play an important role in multi-carrier code division multiple access (MC-CDMA) systems as they can support more users than perfect complementary sequence sets (PCSSs). The objective of this paper…

Information Theory · Computer Science 2025-03-19 Peng Wang , Ziling Heng , Chengju Li

Galvanic coupled-intra-body communication (GC-IBC) is an innovative research area contributing to transform personalized medicine by enabling seamless connectivity and communication among implanted devices. To establish a reliable…

Signal Processing · Electrical Eng. & Systems 2024-07-02 Farzana Kulsoom , Pietro Savazzi , Fabio Dell'Acqua , Hassan Nazeer Chaudhry , Anna Vizziello