Work

A Construction of Binary Cross Z-Complementary Pairs with Large CZC Ratio

Year: 2024

Type: article

Abstract: Cross Z-complementary pairs (CZCPs), characterized by two symmetric zero autocorrelation zones (ZACZs) and one tail-end zero cross-correlation zone (ZCCZ), play an instrumental role in the design of training sequences for broadband spatial modulation systems. In this letter, we propose a systematic construction of CZCPs with large cross Z-complementary ratio (CZCR) by employing Turyn’s method to some seed CZCPs and Golay complementary pairs (GCPs). By appropriately selecting the seed CZCPs, we can extend the CZCPs with parameters (18, 7) and (22, 9) to new (18N, 8N - 1)-CZCPs and (22N, 9N + Z1)-CZCPs, where Z1 signifies the zero correlation zone width achievable by a binary GCP. Additionally, we introduce new CZCPs with parameters (34, 14) and (38, 14), which were not previously reported in the literature, and extend them to (34N, 14N + Z1)-CZCPs and (38N, 15N - 1)-CZCPs.

Source: IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences

DOI: 10.1587/transfun.2024eal2076

Authors: Jihui LIU, Hui ZHANG, Wei SU, Rong LUO

Institutions: Southwest Jiaotong University, Southwestern University of Finance and Economics

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Award: G8488980794