For the Gaussian stationary random processes, the responses both of the memoryless nonlinear system and finite memory nonlinear system to a random input are discussed. The nonlinear system function and its limitation when using the methods described are analyzed in detail. 对于输入信号为高斯平稳随机过程的情况,讨论无记忆非线性系统及一类有限记忆非线性系统的响应以及经过非线性变换后的频谱特性,并详细分析非线性系统函数的特性和使用条件。
The random errors in estimation of frequency response function and coherence function are derived by using the theory of stationary random vibration and statistical error formulas of spectral density function estimation. 应用平稳随机振动理论和谱密度函数估计的统计误差公式,推导了频率响应函数和相干函数估计中的随机误差。
This paper introduces knowledge of stationary stochastic point processes to make a model of non-uniformly sampled signal of random processes, derives the spectra representation, and discusses some stochastic sampling cases in which the data is sampled by typical distribution function. 本文引入平稳随机点过程的知识,建立了广义平稳随机信号的非均匀采样序列模型,推导了其数字频谱的一般公式,分析了具有典型分布函数的随机采样情况。
In this paper, suppose the terrain is an ergodic wide-sense stationary two-dimensional random field with zero mean value on a local region, the basic property of its two-dimensional autocorrelation function is investigated. 本文假定在局部区域上,地形是一个零均值各态历经的宽平稳二维随机域,研究了其二维自相关函数的基本性质。
Introduce a commonly used method for clutter description: As the radar clutter can be classify as a Wide-sense Stationary Random Process ( WSRP), it can be defined by its correlation function and one-dimension Probability Distribution Function ( PDF). 系统阐述了现在普遍采用的用于描述杂波的方法:将杂波看成一个广义平稳的随机过程,则可用其自相关函数和一维概率密度函数来刻画。
Based on the threshold crossing analysis and the peak distribution analysis of stationary random process, the general expression for the peak probability density function of a Von Mises stress process is described. 本文利用平稳随机过程的穿越分析和极值的概率分析,给出了计算VONMISES应力过程峰值概率密度函数的公式,为进一步进行疲劳损伤及寿命分析打下了基础。
The conclusion indicates that stochastic fluctuant pressure on radial gate can be treated as stationary random process going through all of states in the case of certain opening and the characteristic value can be obtained from random function theory and spectrum analysis. 结果表明,在一定开启工况下,作用于闸门体的水流脉动压力可视为各态历经平稳随机过程,其特征量可应用随机函数理论及其谱分析获得。