周期为3q的错配二进制周期互补对

2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA) Pub Date : 2019-10-01 DOI:10.1109/IWSDA46143.2019.8966097

Xiuping Peng, Chengqian Xu, Yubo Li

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引用次数: 0

摘要

如果两个错配序列的周期相关函数之和为δ函数，则称为错配周期互补对。本文利用新的广义切环法，给出了两个构造，得到了周期为3q的错配二元周期互补对，其中q为素数。一种结构是基于1 - 2阶，另一种是基于2 - 2阶。证明了二元周期互补对不存在的许多周期对于我们的构造是可容许的。

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Mismatched Binary Periodic Complementary Pairs with Period 3q

Two mismatched sequences are called a mismatched periodic complementary pair if the sum of their periodic correlation functions is a delta function. In this paper, we present two constructions to obtain mismatched binary periodic complementary pairs with period 3q, where q is a prime, by using new generalized cyclotomy. One construction is based on the order 1 – 2, and the other is based on order 2 – 2. It is shown that many periods for which binary periodic complementary pairs are not exist become admissible for our constructions.

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2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA)

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