基于m-序列的二元零相关区序列构造新方法

基于伪随机序列,提出一种二元零相关区序列构造方法。该方法利用伪随机序列的游程特性,通过在伪随机序列的适当位置进行插值,使生成的序列具有一定长度的零相关区。为了提高序列的丰富性,提出两种扩展方法:一种基于交织技术,通过构造移位序列,使交织序列的周期增大而零相关区不变;另一种方法将零相关区序列与Hadamard矩阵的行向量按位相乘,该方法能够增加零相关区序列数量的同时不改变序列的周期。数值仿真证明了所提方法的有效性。

A novel construction method for zero correlation zone sequence based on m-sequence

Based on pseudo sequence,a binary zero correlation zone(ZCZ) sequence construction method is presented in this paper. By employing the run length characteristic,through interpolating in appropriate location,the sequence is constructed with ZCZ of a certain length. In order to enlarge the richness of the sequences,two extension methods are introduced.One is based on interleaving technique and through designing shift sequence,the sequence constructed by which has increased period and identical ZCZ.The other multiples the ZCZ sequence and row vectors of Hadamard matrix bit by bit to increase the volume but without changing the period of the ZCZ sequences. Numerical simulation validates the effectiveness of the proposed method.