自相关函数

Introduced the time-domain waveform synthesis and decomposition, and analysis of autocorrelation and cross correlation function.

详细说明：介绍了时域波形的合成与分解，以及分析的自相关函数和互相关函数。

Finally, we research the three design of pulses train, and analyze their performances of autocorrelation function、 ambiguity function and spectrum.

主要研究了三种脉冲串设计方法，并分析了自相关函数、模糊函数、频谱等性能指标。

The generalized Walsh spectral characteristics and the generalized auto-correlation function characteristics of orthormophic permutations are studied by using of knowledge about the relation between orthomorphic permutations and vector Boolean functions.

运用向量布尔函数的知识研究了正形置换的广义一阶Walsh谱特征和广义自相关函数的特征，通过正形置换的广义一阶Walsh谱特征给出了正形置换的几种构造方法。

By the binding of two colloidal particles in Brownian Dynamics Simulation binding, colloidal particles, Brownian dynamics simulation, the two particles, diffusion tensor, hydrodynamics, methods, low Reynolds number, aqueous solution, distance, colloidal suspensions, since correlation function, cross correlation function,...

受束缚的两个胶体粒子的布朗动力学模拟束缚，胶体粒子，布朗动力学模拟，两个粒子，扩散张量，流体力学，方法，低雷诺数，水溶液，距离，胶体悬浮系统，自相关函数，互相关函数，。。。

With the method, tendency of measured value was analyzed, harmonic mode was checked by using autocorrelation function, the relation between spectrum parameters was analyzed and Fourier coefficient was calculated based on the theory of Fourier series. Finally, the significance of every period was tested and dominant period determined so as to establish the prediction model.

首先对实测序列进行趋势项分析；其次用自相关函数进行谐波模式检验；然后根据函数的傅立叶级数展开理论，分析谱参数之间的函数关系，计算傅氏系数；最后采用F分布检验法对周期进行显著性检验，确定主要周期，从而建立预报模型。

It is shown that many of the existing integral transforms (including their logically equivalents) such as chirplet transform, dispersion transform, wavelet transform, chirp-Fourier transform, short-time Fourier transform, Gabor transform, Fourier transform, cosine transform, sine transform, Hartley transform, Laplace transform, z transform, Mellin transform, Hilbert transform, autocorrelation function, cross-correlation function, and the energy and mean of a signal, can each be considered as a special case of the FMmlet transform with specific parameters. In fact, an inventory of subspaces of FMmlet transform runs into countless numbers. The subspaces mentioned above are merely a few among a zoo of subspaces. They are essentially obtained by cutting the transform space of FMmlet transform at different positions, and can be likened to the computed tomography in medical diagnosis. Through these subspaces we actually see different slices or profiles of the FMmlet transform.

将现有诸多变换置于统一的 FMmlet 变换中加以审视，发现 chirplet 变换、频散变换、小波变换、 chirp-Fourier 变换、短时 Fourier 变换、 Gabor 变换、 Fourier 变换、余弦变换、正弦变换、 Hartley 变换、 Laplace 变换、变换、 Mellin 变换、 Hilbert 变换、自相关函数、互相关函数、能量和均值等，均为 FMmlet 变换在其参数取特定值时的特例；上述诸变换之间的差别，主要在于变换空间的维数有别，以及在不同空间维上取值的不同；这些变换有如医学诊断中的 CT，均由压缩 FMmlet 变换域空间所致，可以说我们通过这些变换看到的，是 FMmlet 变换的不同剖面。

The results show that the stock market returns and volatilities in China have long memory and persistence although they are not as strong as that of American stock market; The memory of Shanghai stock is stronger than that of Shenzhen stock; The autocorrelation function of a fractional integration model can fit the sample autocorrelation much well.

结果表明：中国股市收益率与波动性具有长记忆性，尽管收益率的长记忆性不如美国股市强；上海股市的记忆性明显强于深圳股市；分数可积模型较指数衰减自相关函数能更好地拟合样本的自相关系数

The definitions of the fuzzy auto-correlation function and the fuzzy partial correlation function are given and their basic properties are discussed.

给出了模糊自相关函数和模糊偏相关函数的概念，并讨论了它们的性质。

In the thesis the theory of time series analysis, several models about time series analysis and the dynamic feature of time series analysis are expatiated in detail; how to use autocorrelation function and partial correlation function to judge the model is analyzed; a kind of better rule to determined rank is determined by comparing several kinds of determined rank; thereby the reverse function can be used to forecast.

本文详细阐明了时间序列的基本思想、几种常见的时间序列模型以及时间序列的动态特征；分析如何利用自相关函数和偏相关函数来对模型进行判定；通过对时间序列的几种定阶准则的比较，确定出一种较好的定阶准则来建立模型，从而利用逆函数法进行预报。

The elements of each sequence in odd-periodic perfect almost binary sequence pair are "1" or "-1" with exception of a single zero element, and odd-periodic perfect almost binary sequence pair possess a perfect odd-autocorrelation function.

奇周期最佳几乎二进序列偶中2个序列中均有一个元素为"0"元素，其他元素取值均为"＋1"或"－1"，并且其奇周期自相关函数为单值脉冲函数。

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。