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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

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

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

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

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

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

We propose new constructions for a two-dimensional ($2$D) perfect array, complete complementary code (CCC), and multiple CCCs as an optimal symmetrical $Z$-complementary code set (ZCCS). We propose a method to generate a two-dimensional…

Information Theory · Computer Science 2024-08-27 Rajen Kumar , Prashant Kumar Srivastava , Sudhan Majhi

This paper presents a novel training matrix design for spatial modulation (SM) systems, by introducing a new class of two-dimensional (2D) arrays called sparse zero correlation zone (SZCZ) arrays. An SZCZ array is characterized by a…

Information Theory · Computer Science 2024-11-22 Cheng-Yu Pai , Zilong Liu , Chao-Yu Chen

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

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

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

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

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

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

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

To support interference-free quasi-synchronous code-division multiple-access (QS-CDMA) communication with low spectral density profile in a cognitive radio (CR) network, it is desirable to design a set of CDMA spreading sequences with…

Information Theory · Computer Science 2016-11-17 Su Hu , Zilong Liu , Yong Liang Guan , Wenhui Xiong , Guoan Bi , Shaoqian Li

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

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

Continuous phase modulation (CPM) plays an important role in wireless communications due to its constant envelope signal property and tight spectrum confinement capability. Although CPM has been studied for many years, CPM training…

Information Theory · Computer Science 2019-11-11 Zilong Liu , Yong Liang Guan , Chee-Cheon Chui

The complete complementary code (CCC) is a sequence family with ideal correlation sums which was proposed by Suehiro and Hatori. Numerous literatures show its applications to direct-spread code-division multiple access (DS-CDMA) systems for…

Information Theory · Computer Science 2010-03-16 Chenggao Han , Naoki Suehiro , Takeshi Hashimoto