自相关函数

In the fourth chapter, firstly it introduces the Boolean functions algebraic expressions of the 2-value clock-controlled stop-and-go generator and Gunther generator. It reveals the balanced property of the two kinds of Boolean functions, and studies the Walsh cycle spectrum and the autocorrelation function. It also obtains the coincidence rate of their output sequences with affine sum of some bits of input sequences, and analyzes their ability of resisting the best affine approximation cryptanalysis and differential cryptanalysis. Secondly, we properly present a new definition of the Best Affine Approximation, namely BAA on the Boolean vector functions, followed by the spectral characteristic of such defined BAA attacks through using the decomposition formula of the union distribution for random variables. A lower bound of such BAA attacks is proposed. Finally, we also study the spectral characteristic of the second kind of nonlinearity of Boolean vector functions, followed by a higher bound of such nonlinearity. Furthermore, the limited relationship between the second kind of nonlinearity of Boolean vector functions and the linear structure of the linear combination of every component is analyzed.

在第四章中，首先给出了2值密钥流"停走生成器"和"衮特生成器"中实际存在的布尔函数的代数表示，揭示了这两类布尔函数的平衡性，随后研究了它们的Walsh循环谱和自相关函数等，得到了它们的输出序列与输入序列中的某些bit的仿射项的符合率，分析了它们抵抗最佳仿射逼近攻击和差分攻击的能力；其次，我们合理地给出了布尔向量函数最佳仿射逼近的新定义，利用布尔随机变量联合分布的分解式考察了相应的谱特征，并给出了布尔向量函数与其最佳仿射逼近的符合率的一个下界；最后，我们还考察了布尔向量函数第二类非线性度的谱特征，给出了布尔向量函数第二类非线性度的一个上界，并揭示了布尔向量函数第二类非线性度与其各个分量的线性和的线性结构之间存在的制约关系。

In the first session the fans vibration on-line monitoring system is realized with VC language, also compile auto power spectrum density function, cross power spectrum density function, autocorrelation function and cross correlation function etc spectral analysis function to carry through simple offline fault diagnosis.

首先用稳定性强、扩展性好的VC++语言开发了通风机振动在线监测系统，并编写了自功率谱密度函数、互功率谱密度函数、自相关函数和互相关函数等频谱分析函数来进行简单的离线故障诊断。

Closed form expressions of auto and cross correlation functions of the derivatives gaussian and derivatives novel pulses are also given.

推导了改进的阶Hermite脉冲函数和阶高斯脉冲函数的自相关函数和互相关函数并画出了它们的自相关特性曲线。

That is, the average size of scattering grains (the correlative interval at the first minimum point of autocorrelation function), the descending curve of the autocorrelation and the rectilinear asymptote of the autocorrelation at the large correlated interval changed regularly with the differential roughness of the scattering screen.

即当散射屏粗糙度改变时，散斑颗粒(自相关函数的第一个极小点所对应的相关间隔)的平均大小、散斑的自相关函数曲线的下降趋势和散斑自相关函数在大的相关间隔处的渐近值等都按一定的规律变化。

Because one need to search H in the range of 110, 1 and calculate the autocorrelation function many times, the concise formula of autocorrelation function of discrete fractional Gaussian noise is used to improve the processing speed. Simulation results have shown that it can estimate H accurately and more effectively than conventional LMS based on autocorrelation ftinction for both pure fractal signal and noise-corrupted fractal signal.

接着我们研究了在白噪声背景下进行分形参数估计的相关函数法，针对其在计算中需反复使用自相关函数的特点，提出了一种改进的相关函数法，实验表明，改进的方法在精度上几乎没有损失，而大幅度地提高了计算效率。

First,its characteristic of Gamma distribution can follow the bit rate of a VBR video source better.

该模型的Gamma分布特性能较好地描述VBR业务比特流的分布，由自相关函数决定的模型系数更充分地描述了自相关函数的行为，利用三态马尔科夫链的两个补充过程可以较理想地描述场景切换下的视频业务模型。

According to the relation between intensity Autocorrelation Function and normalized light field ACF,the effect of different baseline values on the results measured by using Photon Correlation Spectroscopy was presented.

针对光强自相关函数与归一化光场自相关函数之间的关系，指出基线值的不同会影响到颗粒粒径和分散度的测量结果。

An investigation shows the relationship between the impairment and PN codes partial correlation,and its influence on BER performance.

而在实际的系统中，一般仅把一部分PN码用作扰码，而PN码的部分自相关函数和部分互相关函数要比其周期相关函数复杂的多。

This paper is concerned with two problems: First, a formula is derived to estimate the error of system identification from the autoeorrelative function of stationary random disturbances and that of pseudo-random sequences. It can be used to select the type of pseudo-random sequences to be used for quick identification with a given error.

本文讨论了两个问题：(1)导出了平稳随机干扰的自相关函数、伪随机序列的自相关函数和系统脉冲响应辨识误差之间的定量关系式，可用来选择伪随机序列和估计试验误差。

A new group of autocorrelation topological index (At、Bt、Ct and Dt) was designed and developed based on the vertex degree of molecular topology and autocorrelation function of mathematics. The autocorrelation functions were calculated from the square root of the vertex degree、modified vertex degree and their combination, that is d i、、 and . The matrix description method and the algorithm of computer software have been developed for the new topological index calculation.

针对目前自相关拓扑指数的计算完全依赖于实验参数而存在的问题，以分子拓扑学点价和自相关函数研究为基础，将点价、修正点价及其组合：、、、的平方根分别作为自相关函数中的f，设计开发出一组新的以点价计算为基础的自相关拓扑指数At、Bt、Ct和Dt。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。