余弦

The approximating error is effectively solved by using the transformation of sine and cosine functions, which is caused by the incontinuous transformation from 360° to 0°.

通过正弦和余弦函数变换的方法，有效解决了360°~0°转换不连续性引起的逼近误差，提高了估计精度，并给出了算法的具体实现步骤。

In this paper, we introduce and modify the interangular cosine similarity coefficient, analogy with the concept in multivariate statistical analysis. The similarities are described quantitatively.

本文引入并改造了多元统计分析中的夹角余弦相似系数，对图像多分辨分解中同一方向各高频子图之间的相似性进行了定量的描述。

Using the NCEP/NCAR 1°×1° analysis data with a time resolution of 6 h, the Regional Spectrum Model reanalysis data from Japan Meteorological Agency with a horizontal resolution of 20km and a time interval of 6 h, we decompose the horizontal wind of super-intensity Typhoo SAOMEI (0608) based on the H-C method. The two parts are called the nondivergent and the irrotational components, respectively.

利用NCEP/NCAR 1°×1°的实时分析资料和日本气象厅区域谱模式20km分辨率的再分析资料，利用调和-余弦算法得到的无辐散风分量和无旋风分量，对2006年的8号超强台风&桑美&进行风场结构的比较分析。

Compared with methods appeared in literatures, our algorithm, with high accuracy, sensitivity and correctness, complete adaptively the correct distinction between interferential fringes and backgrounds. In chapter four, methods for the computer operatable description of line and region features are discussed, which contains: Computation curve's curvature in quantity, Fringes' separation distance , Contour's smoothness of region, Similarity of varied curves.

在第三章中，本文研究的是以线条为直接目标的图象分割方法——条纹抽取，在研究分析了许多条纹抽取方法以后，针对激光全息焊点缺陷检测这一课题中的复杂数字光学图象LHII条纹抽取进行了多方面的研究，主要有：分别从点对应、邻域特性对应推导并提出了几个信息分离算法；结合光学图象形成方面的知识，提出了变周期余弦分割二值化方法；结合当前条纹走向、毗邻条纹走向及可靠条纹点约束条纹跟踪，在许多方面，改进并发展了常规的条纹跟踪算法，实现了无人-机交互的全自动条纹跟踪抽取。

In the second part, we apply CMFBs to multicarrier modulation. The design and implementation of orthogonally multiplexed QAM systems are investigated in the frame of multirate signal processing.

第二部分研究余弦调制正交滤波器组在多载波调制中的应用，在多速率信号处理的理论框架下研究离散时间正交多路QAM系统的设计和实现方法。

Through Hilbert transform, a signal's plane trace can be get. There are two frequencies in the tested signal, so the signal's plane trace may be looked as the track of the out pole's end when two poles rotate around parallel axles. Using the knowledge of motion synthesis in theory mechanics, a formula to describing the change of plane trace's step length and angle for two-frequency be get. So we may prolongate the tested signal's plane trace from the echo's initial arriving moment, and get a certain length of the signal's prolongation.

通过Hilbert变换可得到测试信号的平面迹线，测试信号中只含有两个频率成分，视为双频信号，双频信号的平面迹线相当于两连杆绕平行轴转动时外杆杆端迹线，利用理论力学中运动合成和瞬心知识，推导出双频信号平面迹线步长平方满足余弦线性复合函数，而迹线转角可视为线性变化，据此可对回波到来之前的测试信号平面迹线作延长，得到一定长度的信号延展段，信号延展段与实测段作差可得到一次、二次回波的第一个波峰值。

In this paper, we use a class of cosine modulated filterbank with approximately reconstruction property for subband adaptive filtering.

在此篇论文中，我们使用近似无频叠失真特性的余弦调变滤波器组来达成次频带适应性滤波。

An Integer Wavelet Transform with parameters is firstly constructed and the transmutative Rijndael code is used to construct a Hash function, and then a visible digital watermark algorithm based on the Integer Wavelet Translation with parameters, Discrete Cosine Transform and the Transmutative Rijndael encryption algorithm are presented.

构造出了带参数的整数小波，应用变型的Rijndael密码构造出了Hash函数。提出了一种基于带参数整数小波变换、离散余弦变换及变型Rijndael加密算法的可见数字水印算法。

In chapter four"The application of generalized sampling theorem to data compression", the qaulity of approximation coefficients is proved and a methodology of discrete cosine transformation combined with ununiform sampling is put forward.

第四章&广义采样定理在数据压缩中的应用&，对广义采样定理一中的展开式系数性质进行了证明，在此基础上提出了一种结合非均匀采样的离散余弦变换方法。

Based on the analysis of signature mismatch by using rectangular window and root-raised cosine pulse shaping filter on non-frequency-selective fading multipath channels, a batched robust blind linear multiuser detection is proposed.

分析了非频率选择性多径信道下采用矩形窗脉冲成形以及均方根升余弦脉冲成形的DS-CDMA系统中特征波形的失配问题，提出了批处理实现的稳健盲线性多用户检测。

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。