论文标题

直接构造具有较大尺寸的交叉Z汇总序列集

A Direct Construction of Cross Z-Complementary Sequence Sets with Large Set Size

论文作者

Kumar, Praveen, Majhi, Sudhan, Paul, Subhabrata

论文摘要

这封信呈现了交叉Z-平均序列集(CZCSS)的直接结构,其周期性相关总和在前端和尾端移位均显示出零相关区。 CZCSS可以被视为对称Z-汇总代码集(SZCC)的扩展。 SZCCS的可用构造对设定尺寸有一个限制,最大设置大小为8。拟议的广义基于布尔函数的结构可以生成长度的CZCS,其形式为非两个功率的形式,其可变设置尺寸$ 2^{n+1} $,每个代码都有$ 2^{N+1} $ 2^{N+1} $ CONSTITUENTS序列。与现有工作相比,该提出的结构还产生了具有大量组成序列的交叉Z平均对和交叉Z互补集。

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 the symmetrical Z-complementary code set (SZCCS). The available construction of SZCCS has a limitation on the set size, with a maximum set size of 8. The proposed generalized Boolean function based construction can generate CZCSS of length in the form of non-power-of-two with variable set size $2^{n+1}$, where each code has $2^{n+1}$ constituent sequences. The proposed construction also yields cross Z-complementary pairs and cross Z-complementary sets with a large number of constituent sequences compared to the existing work.

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