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Generalized Chirp-Like Sequences With Zero Correlation Zone

机译:零相关区域的广义线性调频序列

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摘要

In this paper, a new construction of optimum sets of zero correlation zone (ZCZ) sequences, derived from generalized chirp-like (GCL) sequences, is presented. A special case with reduced alphabet size is also described. In a set of GCL-ZCZ sequences, the length of the zero correlation zone $D$ has the maximum possible value $ D = t - 1 $ for a given sequence length $ N = tm $ and for a given number of sequences in the set $ M = m $. Many values of $N$ can be decomposed into multiple products of two positive integers, thus allowing for flexible tradeoff between the length of the ZCZ and the number of sequences in the set. As the set of GCL-ZCZ sequences is obtained by modulating a common “carrier” sequence with a set of orthogonal modulating sequences, there is a possibility for efficient implementation of the corresponding bank of matched filters.
机译:本文提出了一种新的构造,即从广义chi样(GCL)序列中得出的零相关区(ZCZ)序列的最佳集合。还描述了一种减小字母大小的特殊情况。在一组GCL-ZCZ序列中,零相关区域$ D $的长度对于给定序列长度$ N = tm $且对于序列中给定数目的序列,具有最大可能值$ D = t-$ 1。设置$ M = m $。 $ N $的许多值可以分解为两个正整数的多个乘积,因此可以在ZCZ的长度和集合中的序列数之间灵活权衡。由于这组GCL-ZCZ序列是通过使用一组正交调制序列对公共“载波”序列进行调制而获得的,因此有可能有效实现相应组的匹配滤波器。

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