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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

We propose an efficient method for designing broad beams with spatially flat array factor and efficient power utilization for cell-specific coverage in communication systems equipped with large antenna arrays. To ensure full power…

Signal Processing · Electrical Eng. & Systems 2021-10-12 Maksym A. Girnyk , Sven O. Petersson

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

Previously, we have presented a framework to use the para-unitary (PU) matrix-based approach for constructing new complementary sequence set (CSS), complete complementary code (CCC), complementary sequence array (CSA), and complete…

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

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

Constant amplitude zero-autocorrelation (CAZAC) sequences are mainly used for synchronization in communication and radar applications. The state-of-the-art proposes analytical derivation of specific families whose major limitation comes…

Discrete Mathematics · Computer Science 2025-09-08 Karine Amis , Eloi Boutillon , Emmanuel Boutillon

Bipolar (+/-1) sequences with no zero state suit particularly well for safeguarding the switched feeding network efficiency when applied to time-modulated arrays (TMAs). During the zero state of a conventional time-modulating sequence, if a…

Signal Processing · Electrical Eng. & Systems 2024-02-12 R. Maneiro-Catoira , J. Brégains , José A. García-Naya , L. Castedo

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

We consider two-dimensional $(\lambda_1, \lambda_2)$-constacyclic codes over $\mathbb{F}_{q}$ of area $M N$, where $q$ is some power of prime $p$ with $\gcd(M,p)=1$ and $\gcd(N,p)=1$. With the help of common zero (CZ) set, we characterize…

Information Theory · Computer Science 2025-12-24 Vidya Sagar , Shikha Patel , Ashutosh Singh , Shayan Srinivasa Garani

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

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

Range minimum queries (RMQs) are fundamental operations with widespread applications in database management, text indexing and computational biology. While many space-efficient data structures have been designed for RMQs on arrays with…

Data Structures and Algorithms · Computer Science 2026-04-16 Seungbum Jo , Srinivasa Rao Satti

Scaling up quantum dots to two-dimensional (2D) arrays is a crucial step for advancing semiconductor quantum computation. However, maintaining excellent tunability of quantum dot parameters, including both nearest-neighbor and…

Mesoscale and Nanoscale Physics · Physics 2024-10-15 Ning Wang , Jia-Min Kang , Wen-Long Lu , Shao-Min Wang , You-Jia Wang , Hai-Ou Li , Gang Cao , Bao-Chuan Wang , Guo-Ping Guo

This paper aims to search for new optimal and sub-optimal Odd Binary Z-Complimentary Pairs (OBZCPs) for lengths up to 49. As an alternative to the celebrated binary Golay complementary pairs, optimal OBZCPs are the best almost-complementary…

Information Theory · Computer Science 2024-11-14 Peter Kazakov , Zilong Liu

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

This letter presents a direct construction of cross Z-complementary sequence sets (CZCSSs), whose aperiodic correlation sums exhibit zero correlation zones at both the front-end and tail-end shifts. CZCSS can be regarded as an extension of…

Information Theory · Computer Science 2022-07-07 Praveen Kumar , Sudhan Majhi , Subhabrata Paul

This paper proposes a new sparse array geometry for 2-D (azimuth and elevation) DOA (direction-of-arrival) estimation. The proposed array geometry is V-shaped sparse array and it is composed of two linear portions which are crossing each…

Signal Processing · Electrical Eng. & Systems 2020-04-28 Ahmet M. Elbir

We have developed a FX-architecture digital spectro-correlator, Atacama Compact Array Correlator for the Atacama Large Millimeter/submillimeter Array. The ACA Correlator processes four pairs of dual polarization signals, whose bandwidth is…

Instrumentation and Methods for Astrophysics · Physics 2011-06-22 Sachiko K. Okumura , Yoshihiro Chikada , Takeshi Kamazaki , Takeshi Okuda , Yasutaka Kurono , Satoru Iguchi

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

Coupled laser arrays exhibit rich and complex physical properties, making them powerful tools for exploring a wide range of phenomena. They enable efficient ground-state optimization of complex landscapes, solve computational problems,…

Optics · Physics 2025-02-10 Simon Mahler