THEORY AND APPLICATIONS OF Q-ARY INTERLEAVED SEQUENCES
THEORY AND APPLICATIONS OF Q-ARY INTERLEAVED SEQUENCES
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DOI：
10.1109/18.370141
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发表时间：
1995-03-01
影响因子：
2.5
通讯作者：
GONG, G
中科院分区：
文献类型：
--
作者：
GONG, G
提出了一类新的q元序列--交织序列。它们的周期，移位等价，线性跨度，和自相关函数。交织序列包括大量流行的序列，诸如复用序列、时钟控制序列、Kasami序列、GMW序列、几何序列和No序列。根据GF（q（m））在GF（q）上的不同基，将GF（q（m））序列映射为GF（q）序列，构造了一类特殊的交织序列.作为交织序列理论的应用，构造了一类新的二元伪随机序列族，它们具有大的线性跨度、最佳的周期互自相关函数、平衡性和快速跳变特性。一个完整的比较新的家庭的序列与黄金序列家庭，Kasami（小和大集）序列家庭，本特函数序列家庭，和没有序列家庭进行了讨论。这表明新序列族在扩频多址通信系统中具有重要的优势。
A new class of q-ary sequences, called interleaved sequence, is introduced. Their periods, shift equivalence, linear spans, and autocorrelation functions are derived. The interleaved sequences include a large number of popular sequences, such as multiplexed sequences, clock-controlled sequences, Kasami sequences, GMW sequences, geometric sequences, and No sequences. A special class of the interleaved sequences is constructed by mapping GF(q(m)) sequences into GF(q) sequences in terms of different bases of GF(q(m)) over GF(q). As an application of the theory of interleaved sequences, some new families of binary pseudo-random sequences are constructed, which have large linear spans, optimal periodic cross/autocorrelation functions, balance, and the rapidly ''hopped'' properties. A complete comparison of the new family of sequences with the Gold sequence family, the Kasami (small and large set) sequence families, the Bent-function sequence family, and the No sequence family is discussed. This shows that the new sequence families have important advantages for use in spread-spectrum multiple-access communication systems.