Zero-Correlation-Zone Sonar Sequences

Xiaoxiang Jin, Sangwon Chae, Hyunwoo Cho, Hyojeong Choi, Gangsan Kim, Hong‐Yeop Song · 2023

In this paper, we define (m,n,r) zero-correlation-zone (ZCZ) sonar sequences and present some of their properties. We prove an upper bound on r for (m,n,r) ZCZ sonar sequences and propose a new and simple construction for (m,n,r) ZCZ sonar sequences with m = r2− 1 and any positive integer n. We also propose two constructions for (m,n,2) ZCZ-DD sonar sequences for some m and n which are some variations of well-known sonar sequence constructions. We report a lot of exhaustive search results and some interesting open problems.

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