论文标题
具有最佳{周期性}交叉相关的新频谱约束序列集
New Spectrally Constrained Sequence Sets with Optimal {Periodic} Cross-Correlation
论文作者
论文摘要
频谱约束序列(SCSS)在现代通信和雷达系统中起着重要作用。尽管在过去几年中进行了许多研究尝试,但在低互相关的最佳SCS的构建中,很少有著作。在本文中,我们通过引入一个使用圆形佛罗伦萨矩形(CFRS)和交织技术来构建单模型SCS家族的统一框架来解决这样的主要问题。通过利用频域中的所有可允许载体(击败现有的SCS的现有周期性相关下限)的均匀功率分配,我们提出了更紧密的相关性下限,并表明我们提出的SCS家族可以实现,包括具有零相关区域属性的多个SCS集合。
Spectrally constrained sequences (SCSs) play an important role in modern communication and radar systems operating over non-contiguous spectrum. Despite numerous research attempts over the past years, very few works are known on the constructions of optimal SCSs with low cross-correlations. In this paper, we address such a major problem by introducing a unifying framework to construct unimodular SCS families using circular Florentine rectangles (CFRs) and interleaving techniques. By leveraging the uniform power allocation in the frequency domain for all the admissible carriers (a necessary condition for beating the existing periodic correlation lower bound of SCSs), we present a tighter correlation lower bound and show that it is achievable by our proposed SCS families including multiple SCS sets with zero correlation zone properties.