余弦

Then, the concept of frequency warping is then extended to discrete Fourier transform, discrete cosine transform and discrete wavelet transform, i.e., applying the idea of nonuniform frequency resolution to these common transforms.

接著，我们将频率变形的概念延伸离散傅立叶转换、离散余弦转换以及离散小波转换，把不均匀频率解析度的原理应用在这些讯号处理常使用的转换式上。

in order to simplify a process of getting parameters of daubechies biorthonormal wavelet, according to the fourier cosine transform of scale equation of daubechies biorthonormal wavelet, an algorithm is proposed when the daubechies biorthonormal wavelet has even symmetry double scale parameters.

摘 要：为简化daubechies双正交小波因数的求解，以紧支集daubechies正交小波中尺度关系的fourier变换余弦形式为基础，提出1种当双尺度因数为偶对称时，推导daubechies双正交小波对偶尺度方程因数的方法，并给出构造数值实例。

The exact solutions are then obtained for the equations characterizing flows of such fluids under an arbitrary pressure gradient by the method of integral transforms (Fourier Cosine transform and Laplace transform).

运用积分变换方法(Fourier余弦变换和Laplace变换)，求得了在任意压力梯度下流体运动方程的精确解。

A complete set of image processing and recognition of the source code This is our internal development and use of a image processing code, includes the most image processing and recognition processing function : as template transform, Image smoothing, sharpening, edge recognition, image filtering and fuzzy images, image inverse filtering, fuzzy image noise increases, Wiener filter images, linear transformation, gray tensile, histogram equalization, images corrosion, expansive images, image open operation, GIF correct coding, zooming, rotation, fast Fourier transform, discrete cosine transform, and so on and so forth, that is too many.

详细说明：一套完整的图像处理与识别的源码这是我们内部开发与使用的一套图像处理代码，里面包括了大部分图像处理与识别处理的的函数：像模板变换，图像的平滑、锐化、边缘识别、图像中值滤波、图像模糊、图像逆滤波、图像模糊加噪、图像维纳滤波、线性变换、灰度拉伸、直方图均衡、图像腐蚀、图像膨胀、图像开运算、GIF确码编码、缩放、旋转、快速付立叶变换、离散余弦变换等等，等等，太多了。

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。

Contents : Chapter 4 Image Enhancement (contrast enhancement, gray transform, histogram dressing, image smoothing, sharpening, Pseudo-color and false color enhancement); Chapter 5 of Image Restoration (inverse filter rehabilitation, Wiener filtering method); Chapter 6 of image processing orthogonal transformation Fourier transform, discrete cosine transform (DCT, the Walsh transform, Based on the eigenvectors of transformation, Hotelling transform, SVD transform, wavelet transform, Mallat algorithm; Chapter 7 Image Coding Hoffman (Huffman coding, arithmetic coding, RIc, the bit-plane coding, predictive coding, DPCM.

内容：第4章图像增强（对比度增强、灰度变换法、直方图修整法、图像平滑、图像锐化、伪彩色和假彩色增强）；第5章图像复原（逆滤波复原、维纳滤波方法）；第6章图像处理中的正交变换（傅立叶变换、离散余弦变换、沃尔什变换、基于特征向量的变换、霍特林变换、SVD变换、小波变换、Mallat算法）；第7章图像压缩编码（霍夫曼编码、算术编码、游程编码、位平面编码、预测编码、DPCM、JPEG 2000编码

The digital watermark technique is proposed based on Fresnel hologram and Discrete Cosine Transform.

提出了一种基于数字菲涅耳全息和离散余弦变换的数字水印技术。

It achieved the expression of fundamental positive sequence voltage and fundamental positive sequence current by using a few calculation of pending test signals multiplies with a cosine function and a sine function. The compensation of the non- fundamental positive sequence ingredients is established on this method.

该方法利用待检测信号与正弦和余弦参考信号的少量乘除法运算，快速获得待检测信号中的基波电压和基波电流表达式，为高效补偿待检测信号中的非基波分量奠定了基础。

The sine and cosine signals induced on stator are amplified by instrumentation amplifier and connected to the converter AD2S83, which is designed according to tracking goniometry. Digital logic control and address encoding are processed by FPGA, and the converted 16-bit parallel angle data and direction signal are transferred to DSP.

本设计中通过RC 振荡电路为感应同步器转子提供单相激磁信号，定子上感应出来的正弦和余弦两路信号通过仪表放大器的差分放大之后提供给基于跟踪型测角原理的转换芯片AD2S83，通过FPGA 实现数字逻辑控制以及地址解码，将转换后的16 位并行转角数据以及方向信号送入DSP 中。

In this design, a single-phase exciting signal generated by RC oscillatory circuit is applied to the rotor of synchro. The sine and cosine signals induced on stator are amplified by instrumentation amplifier and connected to the converter AD2S83, which is designed according to tracking goniometry. Digital logic control and address encoding are processed by FPGA, and the converted 16-bit parallel angle data and direction signal are transferred to DSP.

本设计中通过RC振荡电路为感应同步器转子提供单相激磁信号，定子上感应出来的正弦和余弦两路信号通过仪表放大器的差分放大之后提供给基于跟踪型测角原理的转换芯片AD2S83，通过FPGA实现数字逻辑控制以及地址解码，将转换后的16位并行转角数据以及方向信号送入DSP中。

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。