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Golay complementary pairs (GCPs) and complete complementary codes (CCCs) have found a wide range of practical applications in coding, signal processing and wireless communication due to their ideal correlation properties. In fact, binary…

Information Theory · Computer Science 2022-04-08 Praveen Kumar , Sudhan Majhi , Subhabrata Paul

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

In this paper, we propose a direct construction of optimal two-dimensional Z-complementary array code sets (2D-ZCACS) using multivariable functions (MVFs). In contrast to earlier works, the proposed construction allows for a flexible array…

Information Theory · Computer Science 2023-01-09 Gobinda Ghosh , Sudhan Majhi , Shubhabrata Paul

This paper presents an efficient construction of two-dimensional (2D) complete complementary codes (CCCs) for their modern application as omnidirectional precoding matrices in massive MIMO systems to attain enhanced cell coverage. Unlike…

Information Theory · Computer Science 2022-05-10 Cheng-Yu Pai , Zilong Liu , You-Qi Zhao , Zhen-Ming Huang , Chao-Yu Chen

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

One-dimensional (1-D) Golay complementary sets(GCSs) possess numerous well-known properties and have achieved extensive use in communication engineering. The concept of 1-D GCSs can be extended to two-dimensional (2-D) Golay complementary…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Zhaoyu Zhang , Xiaoyu Chen , Yuqiong Du , Luyi Zheng

Golay complementary set (GCS) plays a vital role in reducing peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency division multiplexing (OFDM). A more general version of GCS is a multiple shift complementary set (MSCS), where…

Information Theory · Computer Science 2023-05-12 Abhishek Roy , Sudhan Majhi

Complete complementary codes (CCCs) play a vital role not only in wireless communication, particularly in multicarrier systems where achieving an interference-free environment is of paramount importance, but also in the construction of…

Information Theory · Computer Science 2024-03-25 Palash Sarkar , Chunlei Li , Sudhan Majhi , Zilong Liu

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

One of the important applications of Golay complementary sets (GCSs) is the reduction of peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency division multiplexing (OFDM) systems. OFDM has played a major role in modern wireless…

Information Theory · Computer Science 2025-01-06 Abhishek Roy , Sudhan Majhi , Subhabrata Paul

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

The one-dimensional (1-D) Golay complementary set (GCS) has many well-known properties and has been widely employed in engineering. The concept of 1-D GCS can be extended to the two-dimensional (2-D) Golay complementary array set (GCAS)…

Information Theory · Computer Science 2021-02-09 Cheng-Yu Pai , Chao-Yu Chen

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

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 first propose a new design strategy of 2D $Z$-complementary array quads (2D-ZCAQs) with feasible array sizes. A 2D-ZCAQ consists of four distinct unimodular arrays satisfying zero 2D auto-correlation sums for non-trivial…

Information Theory · Computer Science 2023-08-15 Shibsankar Das , Adrish Banerjee , Udaya Parampalli

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

Golay complementary matrices (GCM) have recently drawn considerable attentions owing to its potential applications in omnidirectional precoding. In this paper we generalize the GCM to multi-dimensional Golay complementary arrays (GCA) and…

Signal Processing · Electrical Eng. & Systems 2024-10-15 Cheng Du , Yi Jiang

A new method to construct $q$-ary complementary sequence (or array) sets (CSSs) and complete complementary codes (CCCs) of size $N$ is introduced in this paper. An algorithm on how to compute the explicit form of the functions in…

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

A new method to construct $q$-ary complementary sequence sets (CSSs) and complete complementary codes (CCCs) of size $N$ is proposed by using desired para-unitary (PU) matrices. The concept of seed PU matrices is introduced and a systematic…

Information Theory · Computer Science 2020-01-15 Zilong Wang , Dongxu Ma , Guang Gong , Erzhong Xue

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
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