基于Parker变换的OACF保持运算的注记
A note on an OACF-preserving operation based on Parker's Transformation
摘要:
具有低奇周期相关幅度的二进制序列在通信系统中有着重要的应用。众所周知,负循环移位和取反通常保持奇周期自相关函数(OACF)值。在本文中,我们定义了一个新的操作帕克变换的基础上,它也保持了二进制序列的OACF值。这使我们能够将帕克的16个例子分成8个,并可能进一步允许基于帕克变换对所有构式进行分类。
英文摘要:
Binary sequences with low odd-periodic correlation magnitudes have found important applications in communication systems. It is well known that the nega-cyclic shift and negation preserve the odd-periodic autocorrelation function (OACF) values in general. In this paper, we define a new operation based on Parker's transformation, which also preserves the OACF values of binary sequences. This enables us to classify Parker's 16 cases into 8 ones, and may possibly further allow to classify all constructions based on Parker's transformation.
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