M序列自相关函数最大旁瓣的概率分布

The distribution of the maximum-side-petal of M sequence

M序列数量庞大 ,十分适合作为CDMA全球通信的地址码 .但是其相关特性的多值性是将其广泛应用的主要障碍 .目前尚无计算其自相关函数的一般公式 ,一般是根据系统要求 ,优选相关特性符合指标的码字或码组 ,这就必须掌握M序列相关峰的概率分布以预测优选集的数量 .文中用计算机搜索法构造大量不同周期M序列样本 ,运用统计学方法加以分析 ,指出M序列的自相关函数最大旁瓣的概率分布类似莱斯分布 。

The huge number of M sequences makes it suitable to be the address codes in global CDMA communication for them. However, the variances of their correlation values prohibit them to be used widely. Because there is no general correlation function available, the common way is to choose a series of codes based on the system correlation requirement. So it is important to get the knowledge of M sequence correlation distribution. A large number of M sequences are generated by the computer search method as a swatch. And statistical analysis shows that the statistical probability of its maximum side petal resembles the Rice distribution. This view can guide the selection of M sequence.