方波

This section simply introduces the basic principles of the conventional analysis of time series (mean, variance, standard deviation; covariance and correlation coefficient; autocovariance and autocorrelation coefficient), frequency spectrum analysis and wavelet analysis.

本文简单地介绍了传统时序分析（包括平均值、方差和标准差；协方差和相关因子；自协方差和自相关因子）、频谱分析和小波分析的基本原理。

New parameter estimation Markov recursive algorithm for continuous stochastic linear system and bilinear system is proposed.

基于小波变换的连续随机线性和双线性系统参数辨识Markov方法分析研究了连续维纳过程在小波变换下的统计特性，给出了维纳过程的离散小波变换系数所构成的离散随机过程的协方差矩阵计算和估计方法，基此提出了线性和双线性连续随机系统参数辨识的Markov估计方法及其递推算法。

After a power spectrum is constructed, empirical wavelet coefficients are used to detect the jump points in the function to obtain the strong consistent estimator of the position and number of the frequencies. Numerical simulations show this method is reliable.

根据它们的协方差函数可以表示为一个Fourier级数，而其Fourier系数可通过协方差函数的逆变换得到的特性，我们对于零均值的近周期相关序列构造了类似于周期图的函数，并构造其经验小波系数，利用频率处于此函数的尖点的特性，以及此性质在经验小波系数中的反映，来确定频率的个数和位置，所有的估计量都是强相合的，此外，数值模拟的结果表明，我们的方法是有效的。

The polynomials, such as the Zernike polynomial, the orthogonal Zernike polynomial in square zone and the Legendre polynomial, are used to describe the phase of the wavefront in the algorithm of the Hartmann Sensor's model reconstruction in square zone.

方形区域上的哈特曼波前传感器的波前模式重构算法中可用Zernike多项式、方域上正交的Zernike多项式以及Legendre多项式来重构波前相位。

According to the variance module and resolution after deconvolution, the ideal mixed phase wavelets may be extracted from the wavelet gatherings with the same amplitude spectrum and different phase spectrums finally. Therefore the target for raising the resolution of seismic records can be attained by the determinacy wavelet deconvolution. Through the wavelet extraction tests for theoretic synthetic records and actual seismic data and the processing of enhancing resolution of seismic data by use of the wavelets extracted, it was shown that such a method is correct and effective.

依据反褶积后地震记录方差模大小和分辨率情况，最终从一系列相同振幅谱不同相位谱子谱集合中确定理想的混合相位子波，通过确定性子波反褶积达到提高地震记录分辨率的目标对理论合成地震记录和实际地震记录进行了子波提取实验，并利用提取的地震子波对地震资料进行了提高分辨率的了处理，实验结果表明了该布法约正确准和有效性。

In this paper, firstly the differences between cylindrical array and uniform planar array are discussed in terms of eigenvalue distribution of the clutter covariance matrix and clutter distribution at range, and the conclusion of space-time clutter spectrum's nonhomogeneity at range for airborne radar with cylindrical array antennas is gained.

该文首先从圆柱型阵机载雷达杂波协方差矩阵特征值分布和杂波功率谱距离向分布两个方面分析了圆柱型阵列与均匀平面阵列之间的区别，得到杂波功率谱随距离变化的结论。

The result shows that all the three polynomials can be used to reconstruct the wavefront correctly, the reconstruction precision of the orthogonal Zemike polynomial in square zone is comparatively better though the difference of the reconstruction precision among the three polynomials is not apparent.

结果表明：对于方形区域上的波前重构，上述三种多项式都能正确地重构出待测波前，它们的重构精度差别不大，相比之下，方域上正交的Zernike多项式的对待测波前的重构精度更高。

This method decomposes wave-front phase to a linear combination of orthonormal basis functions, According to the covariance of weight coefficient, a random wave-front phase is realized.

协方差冲激函数产生法对连续波前相位进行冲激函数正交分解，根据正交分解系数的协方差模拟平行光通过大气后的瞬时波前相位。

First, the traffic flow time series chaotic feature is extracted by chaos theory. pretreatment for traffic flow time series, and the wavelet neural networks model was build by this. Second, the chaotic mechanism and the chaotic probability is described. Based on chaotic learning algorithm, and the wavelet neural networks fast learning algorithm of traffic flow time series is designed based on chaotic algorithm. Last, a single-step and multi-step prediction of traffic flow chaotic time series is researched by BP neural networks, wavelet neural networks and wavelet neural networks based on chaotic algorithm. The results showed that the wavelet neural networks predictive performance is better than the BP networks and the wavelet neural networks by the simulation results and root-mean-square value.

首先，通过混沌理论提取了交通流量时间序列的混沌特征，并在此基础上建立了小波神经网络交通流量时间序列模型；接着，阐述了混沌学习算法的混沌机理、混沌产生的概率，设计了基于混沌算法的小波神经网络交通流量混沌时间序列快速学习算法；最后利用交通流量混沌时间序列对BP网络、非混沌算法的小波神经网络以及基于混沌算法的小波神经网络进行了单步预测和多步预测，并对预测结果的仿真图和真实值与预测值的方均根进行了比较，结果表明基于混沌学习算法的小波神经网络的预测性能明显优于应用BP网络和非混沌算法的小波神经网络。

In other words, on the basis of known low space resolution multi-spectral image and high space resolution panchromatic spectral image, it will simulate to create high space resolution multi-spectral image.

针对这一应用目的，本文在对现有的定性定量指标分析的基础上，设计了一组适合本文的评价标准，就是在目视判读的基础上，采用平均梯度和小波能量分析融合影像和原始未降解的多光谱影像的空间分辨率差异，采用标准方差、标准偏差和协方差矩阵行列式值分析融合影像和原始未降解的多光谱影像的信息差别，采用均值、中值和归一化最小方差分析融合影像的光谱信息保持程度。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。