平稳函数

It is often seen in fields of telecommunication, Radar, Sonar and telemetering because of scanning, modulation or sampling.

对于通信、雷达、遥测和声纳等系统中的信号，它们大多具有循环平稳特性，即数字特征是时间的周期函数。

Then based on CWMS, we propose a new method to enhance the resolution of seismic traces. Firstly, we divide the seismic signal into proper segments by Gabor molecule-windows adaptive to the signal, where each segment is regarded stationary, and then transform it into the Gabor domain. Secondly, we deal with the amplitude spectrum for each segment to expand the frequency band of the spectrum in the Gabor domain. Finally, taking inverse Gabor transform on modified time-frequency coefficients, we get the high-resolution signal.

然后基于变子波模型，提出了一种新的提高地震记录分辨率的方法：第一步，用自适应于地震记录的Gabor分子窗把地震记录恰当地划分成若干片断，每段内信号近似平稳，然后将地震记录变换到时间-频率域；第二步，在变换域对每个分子窗内信号的振幅谱进行处理以拓宽频带；最后把处理后的时间-频率域函数反变换回时间域得到提高分辨率后的结果。

A class of stationary models of singular stochastic control is discussed, in which the functions in cost structure are not restricted to even functions, and the state processes are diffusions with "nonsymmetric" drift and diffusion coefficients.

该文讨论了一类奇异型随机控制的平稳模型，其费用结构中的函数不限于偶函数，其状态过程为扩散型且具有&非对称的&漂移及扩散系数。

A class of stationary models of singular stochastic control is discussed, in which the functions in cost structure are n ot restricted to even functions, and the state processes are diffusions with "n onsymmetric" drift and diffusion coefficients.

该文讨论了一类奇异型随机控制的平稳模型，其费用结构中的函数不限于偶函数，其状态过程为扩散型且具有&非对称的&漂移及扩散系数。

The signals during transformer impulse test are considered to be evolving in time, also is non-stationary signals, so we can design a software algorithm for noise reduction based on discrete Gabor transform, and the basic principle is: The Gabor coefficients of Effective signals during transformer impulse test is centralized in the time frequency range, and the peak-to-peak value is big, whereas the noise Gabor coefficient distribute in the entire time frequency range equally, the peak-to-peak value is small, we can realize the desired signal and the noise separated through frequency mask function.

考虑到冲击试验中的信号都是时变信号，也就是非平稳信号，因此设计了一种基于离散GABOR变换的软件滤波算法对冲击信号进行滤波，其滤波理论依据是：有效信号的Gabor系数在时频域分布比较集中，幅值比较大，噪声的Gabor系数均匀分布于整个时频域，幅值较小，通过构造时频掩模函数来实现有效信号与噪声的分离。

Secondly, the stationary responses of non-linear systems with unilateral constraints are studied by using the quasi-conservative averaging method.

基于非光滑线性系统研究的基础上，借助一种非光滑变换，引进狄拉克函数，把随机单边约束非线性系统转化为光滑随机非线性系统，进而运用拟保守平均方法得到转换的光滑随机系统的平稳响应。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。