In chapter 3 , the statistical properties of raw data of the received electromagnetic waves are analyzed and computed , which show that the real and imaginary parts of sar raw data have zero means , slow changing variance , and asymptotically gaussian distribut 第三章分析和计算了合成孔径雷达原始数据的统计特征。原始数据的实部和虚部满足均值近似为零的渐进高斯分布且相互独立，数据的熵值较高。
The following are results : the basic measurement principles of efpi has been discussed firstly , the characteristics of output signal of brand light source and the effects on the output signal of f - p sensor because of the coupling loss were also discussed 论文首先阐述了光纤f - p应变传感器的传感原理，分析了耦合损耗对传感器输出干涉信号的影响，讨论了实际情况下宽带光源光谱的高斯分布对传感器输出信号的影响。
Further analysis on the model forecast residuals indicate that the residual time series does not follow a normal distribution but rather exhibits non - gaussianity ; similarly too , the existence of persistent pattern in the error / residual structure is discernibly evident 对模型预报残差进一步分析可知，残差的时间序列并不服从正态分布，而是呈现出了逆高斯分布。同样，在误差/残差结构中存在着非常明显的固定模式。
At the same time , analysis of effects of gaussian distributed and uniform distributed feedback error of the channel fading behavior on throughput performance of adaptive mqam reveals that the obvious throughput loss shall be observed as far as the error exceeds certain limit 同时，高斯分布和均匀分布的信道衰落信息反馈误差对自适应mqam吞吐量性能影响的研究表明，当误差超过一定程度时，自适应系统吞吐量性能明显下降。
Then based on kirchhoff approximation theory , the formula of the coherent and incoherent scattering intensity of plane wave from two dimensional dielectric normally distributed rough surface are derived , and the scattering intensity of a planar , rough surface of unit area 然后从粗糙面散射kirchhoff标量近似理论出发,得到了平面波对高斯分布的二维随机粗糙面的相干散射和非相干散射强度表达式,并给出了单位面积粗糙面非相干散射的表达式。
In the experiment , we measured the same material in different size situation , and proved the measurement has good duplication . and also we measured the plasma in even situation and the plasma which is even in axial but has a gauss distribution in radial direction 实验中,对同种材料在不同尺寸情况下进行了测量,证明了测量方法的正确性和良好的重复性。并且对等离子体在均匀情况和轴向均匀而径向具有高斯分布情况进行了计算,取得了满意的计算结果。
Based on unsupervised learning , sparse coding is suitable to describe images with non - gaussian distribution and can get rid of the high order redundancy among the image pixels . since the basis function of sparse coding has build - in clustering property , it increases the inter - class variations of the features 稀疏编码是一种基于非监督学习的算法，它适合描述具有非高斯分布的数据对象，能够有效地消除图像象素点之间的冗余，并具有内在的聚类特性。
In order to make the theoretical calculation feasible , we first obtain an analytical formalism of partial integrals with respect to the coordinates of the core and target in the phase - shift functions and their cross terms of scattering matrix elements , if the density distributions of the core and target are fitted to a few gaussian forms . then the rest multidimensional integrals with respect to the impact parameter and coordinates of halo nucleons are performed by a monte carlo method 为使理论计算变得可行，我们在核芯和靶核密度采用多个高斯分布拟合的情况下，解析求解了各个散射矩阵元中的光学相移函数及交叉项含有的与晕核核芯、靶核密度分布有关的积分;同时对与碰撞参数和晕核子坐标有关的积分(八重以上，并且积分维数随晕核子数很快增加)采用蒙特卡洛方法计算。
At present , signal pulses produced by directly modulated laser diodes have been used in optical fiber communication systems . the experiment reveals that the optical pulses from directly modulated laser diodes are far from gaussian and have near - rectangular temporal profiles with much sharper leading and trailing edges , and then a super - gaussian model , which assumes that an incident optical pulse has a super - gaussian profile , may be more suitable 但在实际的光通信系统中，人们常采用由直接调制半导体激光器产生的光脉冲作为信号脉冲，而实验结果表明这种脉冲具有比高斯脉冲更为陡峭的前沿和后沿，其脉冲形状更接近于超高斯分布，并且通常还带有一定量的啁啾。
Based on the study of strength degradation of material in the fatigue process , a strength degradation model is proposed . a stochastic differential equation , which controls strength degradation , is obtained from the model randomized by markov process . by using the theory of stochastic , the distributions of residual strength at any given lifetime and lifetime of any given residual strength are attained . under a few suitable hypotheses , inverse gaussian distribution of fatigue life is derived , and verified by means of experimental data . the result shows that the model and the method are reasonable 在研究疲劳过程中材料强度退化规律的基础上,建立了一个强度退化模型.对其进行随机化处理,得到控制强度退化过程的随机微分方程.在一定假设条件下,获得了剩余强度概率密度函数的封闭解,并推导出疲劳寿命的反高斯分布形式.给出一种考虑损伤状态对随机涨落影响的近似处理方法.与试验数据的比较结果表明,本文的模型和方法是合理的
