This paper generalizes three constructions of families of sequences with bounded off peak correlation with application to Code Division Multiple Access (CDMA), frequency hopping, and Ultra Wide Band (UWB). These new families present flexible family sizes and sequence lengths, making them well suited to wireless communications and Multiple Input Multiple Output (MIMO) radar. In particular, we show that the generalized Kamaletdinov I construction offers the lowest off-peak correlation for a given family size. For the two smallest family sizes, this construction asymptotically matches the performance of the small Kasami set and Gold codes, respectively. Among other properties, it has one of the slowest off-peak correlation growth of all known constructions, increasing proportionally to the logarithm of the family size and generates frequency and time hopping sequences.

中文翻译：

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CDMA，跳频和UWB的大序列序列

本文概述了具有有限峰值相关性的序列族的三种构造，并将其应用于码分多址（CDMA），跳频和超宽带（UWB）。这些新系列提供了灵活的系列大小和序列长度，使其非常适合无线通信和多输入多输出（MIMO）雷达。特别是，我们表明，对于给定的家庭规模，广义的Kamaletdinov I结构提供了最低的非高峰相关性。对于两个最小的家庭大小，此构造分别渐近地匹配小Kasami集和Gold码的性能。在其他特性中，它是所有已知结构中最慢的非高峰相关性增长之一，