1/f过程与稳定分布过程的关系

Relationship Between 1/f and Stable Processes

1/f过程与稳定分布都是近来引入到通信及信号处理领域中的新模型。通过建立 1/f过程的散粒噪声模型 ,借助Campbell定理获得了 1/ f过程的概率分布 ,证明了所得分布服从稳定分布。

Both 1/fprocesses and stable distribution are new models which have recently been introduced to the fields of communication and signal processing. In this paper, by establishing shot noise model of 1/f processes, we can obtain their probability distribution based on Campbell's theorem. It is proved that the distribution satisfies stable distribution. This result sets up the relationship between these two processes.