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In recent years, traditional zero-correlation zone (ZCZ) sequences are being studied due to support interference-free quasi-synchronous code division multiple access (QS-CDMA) systems. However, in cognitive radio (CR) network, it is…

Information Theory · Computer Science 2023-09-06 Nishant Kumar , Palash Sarkar , Sudhan Majhi

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

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 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

Complete complementary codes (CCCs) are highly valuable in the fields of information security, radar and communication. The spectrally null constrained (SNC) problem arises in radar and modern communication systems due to the reservation or…

Information Theory · Computer Science 2025-08-27 Rajen Kumar , Palash Sarkar , Prashant Kumar Srivastava , Sudhan Majhi

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

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

We present a $N$-dimensional generalization of the two-dimensional block-circulant perfect array construction by \cite{Blake2013}. As in \cite{Blake2013}, the families of $N$-dimensional arrays possess pairwise \textit{good} zero…

Information Theory · Computer Science 2013-04-09 Samuel T. Blake

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

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

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

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

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

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

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

Linear complementary pairs (LCPs) of codes have been studied since they were introduced in the context of discussing mitigation measures against possible hardware attacks to integrated circuits. In this situation, the security parameters…

Information Theory · Computer Science 2025-02-05 F. J. Lobillo , José Manuel Muñoz

We introduce several new constructions for perfect periodic autocorrelation sequences and arrays over the unit quaternions. This paper uses both mathematical proofs and com- puter experiments to prove the (bounded) array constructions have…

Information Theory · Computer Science 2017-01-06 Sam Blake

In this paper, a simple construction of interference-free zero correlation zone (IF-ZCZ) sequence sets is proposed by well designed finite Zak transform lattice tessellation. Each set is characterized by the period of sequences $KM$, the…

Signal Processing · Electrical Eng. & Systems 2022-03-01 Qiping Fang , Zilong Wang

In this paper, a new construction of interference-free zero correlation zone (IF-ZCZ) sequence sets is proposed by well designed finite Zak transform lattice tessellation. Each set is characterized by the period of sequences $KM^2$, the set…

Information Theory · Computer Science 2020-05-13 Qiping Fang , Zilong Wang

Sparse Subspace Clustering (SSC) is a popular unsupervised machine learning method for clustering data lying close to an unknown union of low-dimensional linear subspaces; a problem with numerous applications in pattern recognition and…

Machine Learning · Computer Science 2019-07-19 Manolis C. Tsakiris , Rene Vidal