A Construction for Periodic ZCZ Sequences
Samuel T. Blake, Andrew Z. Tirkel
TL;DR
This paper presents a new construction method for periodic ZCZ sequences over roots of unity, which are asymptotically perfect with autocorrelation values approaching ±2π, enhancing sequence design for communication systems.
Contribution
The paper introduces a novel construction for periodic ZCZ sequences that are asymptotically perfect, extending existing sequence design techniques over roots of unity.
Findings
Sequences have two non-zero off-peak autocorrelation values.
Autocorrelation values asymptotically approach ±2π.
Sequences are similar to existing perfect periodic sequences.
Abstract
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 off-peak autocorrelation values which asymptotically approach , so the sequences are asymptotically perfect.
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Taxonomy
TopicsCoding theory and cryptography · Cellular Automata and Applications · graph theory and CDMA systems