例如，让我们考虑一下正弦波，也即正弦曲线这样一个描述平稳反复振荡的数学函数。
For instance, let's consider the sine wave, or sinusoid, a mathematical function that describes a smooth repetitive oscillation.
文中利用对称相关函数理论，分析了抵消平稳随机过程中与信号不相关的加性随机噪声的机理，并应用于线谱信号检测。
The theory of symmetrical function is used to suppress additive stationary random noise; assumption is that the signal and the noise are mutually uncorrelated.
这个问题来自平稳随机序列的相关函数。
This problem arises from the correlation functions of stationary stochastic sequences.
基于改善动力学性能、提高输出运动的平稳性，实现了六杆双输出函数脉冲发生机构按传动比要求的等价四杆机构的综合原理与方法。
To control and improve the properties of mechanism dynamics, a synthetical parameter model of high-grade motion was created for three-grade functional generator mechanism with double output.
本文的目的在于，对于线性平稳时间序列的样本、自协方差、自相关和偏相关函数的渐近性质，给出一个比较系统的描述。
The aim of this paper is to give a systematic account of asymptotic properties of the sample autocovariance, autocorrelation and partial autocorrelation functions of linear stationary time series.
由于客人入住是一个随机过程，难以用准确的分布函数来描述，但作出某些合理的假设后，可将其变为平稳随机过程。
The registration of guest is in a random, it is difficult to describe by accurate distributed function, but it can be changed to stationary random process after making some rational assumption.
假设输入函数为各态历经的平稳随机过程，得出各输出响应的谱密度与频率的关系。
The relations between spectrum densities of system output responses and frequency were obtained by assuming input functions to be ergodic and stable stochastic processes.
投影定理在平稳时间序列的预报及函数逼近研究中起着重要的作用。
Theorem of projection is more important in the study of prediction of stationary discrete-time sequence and function approximating.
基于自然梯度原则并利用信号的时间相关属性对一类代价函数进行推导，获得一种新的非平稳信号自适应盲分离算法。
A new adaptive blind source separation algorithm of non-stationary signals was presented by using natural gradient rule and time-correlation property of the source signals acting on a cost function.
地震动是由于地震引起的地面运动，其时间历程函数表现为具有突变特征的非平稳随机过程，因此更适于利用小波变换进行频谱分析。
The ground motion time function is a kind of time serial signals, which is a highly varying and nonstationary randow procedure and fit for wavelet analysis.
首先利用EMD方法对NYMEX市场的原油期货价格进行分解，得到一系列平稳且具有较强周期性的本征模函数(IMF)和一个趋势项。
First we employ EMD method to decompose the crude oil prices in NYMEX, and obtain a series of intrinsic mode function (IMF), which are stationary and of strong periodicity, and a trend term.
其中每一个平稳数据层被称为一个本征模式函数，它们代表了信号不同尺度的特性。
Each of smooth layers is called as intrinsic mode function, which represents the signal characteristics of different scales.
确保语言本地化平稳变换，为模板文件内的echoing标题和标头使用_e函数。
To ensure smooth transition for language localization, use the _e function for echoing titles and headings within the template files.
求出了频率响应函数以及输入为平稳和非平稳情况下的功率谱函数。
The frequency response function and the power spectrum function for stationary and non-stationary inputs are obtained.
第二部分是有关平稳随机变量均值的函数表达式及其有关术语。
The second Part is about the exPression of Average stutistics. values for stationary chance variable and its terms concerned.
给水泵组机械状态信号具有非平稳性和非线性，而支持向量机具有良好的非线性函数逼近和泛化能力。
The mechanical state signal of boiler feed pumps is nonstationary and nonlinear, and support vector machines has an excellent nonlinearity approximation ability and better generalization capability.
从三次样条函数入手，提出一种新的适合非平稳数据分析的预测滤波器设计方法。
The paper presents a new method to design a predictive filter which suits to analyze non-stationary data.
并用比较简单的方法给出二参数平稳无后效随机事件流的母函数的一般形式。
A general form of generating function of two parameter stationary streams of random events with independent increments is represented briefly.
对于非平稳随机信号的功率谱分析，采用自相关函数傅里叶变换和直接傅里叶变换分析时，由于存在数据截断，二者从概念上都不能很好地反映随机信号的功率谱。
The correlation method and FFT method of the power spectrum estimation could not completely reflect the concept of the power spectrum of the non-stationary random signals because of data truncation.
讨论了MARMA模型的平稳性条件和自相关函数。
The stationary conditions and autocorrelation function of the MARMA process are investigated.
熔池温度是碳含量及炉气中CO和CO2分压的函数，其中吹炼过程的平稳性是模型最终预测结果准确获得的保证。
The accuracy of the prediction is determined by the reliability of initial carbon content. The bath temperature is a function of the carbon content and the CO, CO2 partial pressure.
非线性，非平稳的时间序列经过经验模分解，可以得到一组内模函数和一个基本的趋势项。
Nonlinear and nonstationary time series are decomposed into a series of instrinsic mode functions and a residual trend item by the empirical mode decomposition (EMD).
借助结构动力试验中阻尼比的确定方法，提出用平稳度指数来评价单峰点包线函数平缓程度。
With the aid of the method for determining damping ratio in structural dynamic experiment the so called stationarity index is used to estimate the gentleness of the peak's slope.
本文在第三章给出了常返和遍历的充要条件，在此条件下由平稳分布的定义得出了平稳分布的发生函数。
The necessary and sufficient condition of recurrent and ergodic properties are proved first in chapter 3, and under that condition we get the stationary distribution.
从三次样条函数入手，提出一种新的适合非平稳数据分析的预测滤波器设计方法。
Based on the analysis of the traditional low pass filter, this paper proposed a novel detection filter.
从三次样条函数入手，提出一种新的适合非平稳数据分析的预测滤波器设计方法。
Based on the analysis of the traditional low pass filter, this paper proposed a novel detection filter.
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