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在采样数据量受限情况下,提出了一种计算数字PAM信号的高阶统计量分布范围的方法,用以确定采样信号统计量参数的范围,并计算出参数在该范围中出现的概率。该方法首先推导了统计量参数与各码元个数、幅度之间的关系,然后利用码元个数出现的概率分布特征计算出统计量参数的分布范围。最后根据这种算法以中频数字PAM信号为对象进行仿真计算,得出了一定码元数的4PAM,8PAM,16QAM信号的规一化峰度的分布范围,并从概率角度对数字PAM信号的非高斯分类进行了补充。
In the case of limited sampling data, a method of calculating the distribution range of high-order statistics of digital PAM signals is proposed to determine the range of sampling signal statistic parameters and calculate the probability of the parameters appearing in this range. The method first derives the relationship between the statistic parameters and the number and amplitude of each symbol, and then calculates the distribution range of the statistic parameters by using the probability distribution features of the number of symbols. Finally, based on this algorithm, the PAM signal of IF is taken as the object to simulate and calculate the distribution of normalized kurtosis of 4PAM, 8PAM and 16QAM signals with a certain number of symbols. From the perspective of probability, Gaussian classification has been added.