Binary Zero-Correlation Zone Sequence Set Construction Using a Primitive Linear Recursion

Binary Zero-Correlation Zone Sequence Set Construction Using a Primitive Linear Recursion
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DOI:
10.1093/ietfec/e88-a.7.2034
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发表时间:
2005-07
期刊:
IEICE Trans. Fundam. Electron. Commun. Comput. Sci.
影响因子:
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通讯作者:
Takafumi Hayashi
Takafumi Hayashi
中科院分区:
其他
文献类型:
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作者:
Takafumi Hayashi

文献摘要

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本文提出了一类具有零相关区的二元序列集(以下简称二元ZCZ序列集)的新构造。该序列集的互相关函数和自相关函数的旁瓣对于零相关区内的相移为零。本文证明了这样的构造通过使用GF(2)上的本原线性递归生成二元ZCZ序列集,GF(2)是模2的有限整数域。
The present paper introduces a new construction of a class of binary sequence set having a zero-correlation zone (hereafter binary ZCZ sequence set). The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The present paper shows that such a construction generates a binary ZCZ sequence set by using a primitive linear recursion over GF(2), the finite field of integers modulo 2.