超高斯亚高斯分布探讨

Discussion of Super-Gaussian and Sub-Gaussian Distribution

针对工程中经常用到超高斯分布和亚高斯分布的提法,综合考虑给出超高斯分布和亚高斯分布的一个明确完整的概念。然后研究了线性系统在非高斯分布信号激励下仍保持信号的非高斯分布特性,超(亚)高斯输入下的系统输出仍是超(亚)高斯输出。最后通过在一个非高斯分布激励的振动台上对某夹具系统进行试验,其结果与本文理论分析结果一致。

Firstly, the concept of super-Gaussian and sub-Gaussian distribution is discussed and a definition is proposed. Then, it is demonstrated that the output of a linear system on a non- Gaussian input signal remains its non-Gaussian characteristics, i.e. , super-Gaussian input and the corresponding output. Finally, the theoretical analysis is verified by the test on a super- Gaussian vibration machine.