New Algorithms for Designing Unimodular Sequences With Good Correlation Properties
New Algorithms for Designing Unimodular Sequences With Good Correlation Properties
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DOI：
10.1109/tsp.2009.2012562
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发表时间：
2009-04-01
影响因子：
5.4
通讯作者：
Li, Jian
中科院分区：
文献类型：
--
作者：
Stoica, Petre;He, Hao;Li, Jian
单模(即恒模)序列具有良好的自相关特性，在通信和雷达等领域有着广泛的应用。相关函数的积分旁瓣电平(ISL)通常用来表示给定序列的相关特性的优劣。在这篇文章中，我们提出了几种循环算法，用于ISL相关度量的局部最小化。这些循环算法可以用良好的现有序列来初始化，例如Golomb序列、Frank序列，甚至是(伪)随机序列。为了说明所提出的算法的性能，我们给出了一些例子，包括在指定的滞后间隔内具有几乎零自相关旁瓣的序列的设计，以及很难用文献中提出的其他算法来处理的长序列的设计。
Unimodular (i.e., constant modulus) sequences with good autocorrelation properties are useful in several areas, including communications and radar. The integrated sidelobe level (ISL) of the correlation function is often used to express the goodness of the correlation properties of a given sequence. In this paper, we present several cyclic algorithms for the local minimization of ISL-related metrics. These cyclic algorithms can be initialized with a good existing sequence such as a Golomb sequence, a Frank sequence, or even a (pseudo)random sequence. To illustrate the performance of the proposed algorithms, we present a number of examples, Including the design of sequences that have virtually zero autocorrelation sidelobes In a specified lag interval and of long sequences that could hardly be handled by means of other algorithms previously suggested in the literature.