Sequences with Low Correlation
Sequences with Low Correlation
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DOI：
10.1007/978-3-030-05153-2_8
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发表时间：
2018-06
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影响因子：
--
通讯作者：
D. Katz
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文献类型：
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作者：
D. Katz
伪随机序列在通信和遥感领域有着广泛的应用。相关性是衡量伪随机性的一个指标，而低相关性是决定数字序列应用性能的一个重要因素。我们考虑了构造序列对(f，g)的问题，使得f和g都具有低均方自相关和f和g具有低均方互相关。我们专注于二元序列的非周期相关，并回顾了最近的贡献以及一些历史背景。
Pseudorandom sequences are used extensively in communications and remote sensing. Correlation provides one measure of pseudorandomness, and low correlation is an important factor determining the performance of digital sequences in applications. We consider the problem of constructing pairs (f,g) of sequences such that bothfandghave low mean square autocorrelation andfandghave low mean square mutual crosscorrelation. We focus on aperiodic correlation of binary sequences, and review recent contributions along with some historical context.