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Binary and quadriphase sequences with optimal autocorrelation properties: a survey

机译:具有最佳自相关特性的二元和四相序列:一项调查

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Time-discrete signals with good autocorrelation properties are used in various applications in communications engineering. From an implementation point of view, usually sequences with a small phase alphabet and a maximal energy efficiency, i.e., a uniform envelope, are most favorable. For this reason, known methods as well as several new construction techniques of binary and quadriphase sequences with optimal or best known autocorrelation properties are discussed in this correspondence. In many cases, the achievable correlation properties can be improved significantly if a single zero element per sequence is accepted. These "almost" binary and "almost" quadriphase sequences are considered as well. The optimality criteria used include the maximum absolute sidelobe and the merit factor of the periodic and the odd-periodic autocorrelation function, respectively. For sequence lengths of up to 44 in the binary case and up to 32 in the quadriphase case, the best known parameters obtained by computer search are compared with the constructed results.
机译:具有良好自相关特性的时离散信号在通信工程中的各种应用中使用。从实现的角度来看,通常最有利的是具有小相位字母和最大能量效率的序列,即均匀的包络。因此,在此对应关系中讨论了具有最佳或最佳自相关特性的二进制和四相序列的已知方法以及几种新的构造技术。在许多情况下,如果每个序列接受单个零元素,则可以显着改善可实现的相关属性。这些“几乎”二进制和“几乎”四相序列也被考虑。所使用的最优性标准分别包括周期和奇周期自相关函数的最大绝对旁瓣和优值因子。对于在二进制情况下最大为44的序列长度,在四相情况下最大为32的序列长度,将通过计算机搜索获得的最知名参数与构造结果进行比较。

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