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According to the Poisson equation of gravity-magnetic potential, we derive the relation of cosine transform spectrum between magnetic potential and magnetic field constituent and deduce the cosine transform spectrum formula of n degree derivatives using the cosine transform.

根据重磁位场的泊松公式，利用余弦变换给出磁位与磁场分量间的余弦变换谱关系，推导出磁异常n阶导数的余弦变换谱公式。

Chaper 3 is general description of ADA encryption. Chapter 4 deals with the transform domain encryption. Includes the element of perfect and quasi-perfect transform domain encryption, and presents two type new schemes. Chapter 5 deals with asynchronous ADA encryption. Extends the general theory and model of asynchronous ADA scrambling, and introduces two type phase-distortion-free a synchronous ADA schemes. Chapter 6 is about new direction of ADA encryption. Includes TASI scrambling, transform domain dummy insertion scrambling, noise coving scrambling and other multi-dimension ADA scrambling, and proposes an adaptive dummy spectrum insertion asynchronous scrambling and a new adaptive noise-coving DFT scrambling algorithm. Chapter 7 is on permutation key. presents part results on permutation features, selecting criterion and constructing method. Chapter 8 introduces the hard and software design of a common ADA encryption/decryption system, and presents the experimental results on several proposed ADA encryption schemes.

第一章为绪论；第二章为语声信号、及其处理基础；第三章为模数模加密的一般描述；第四章为变换域加密研究，包括变换域加密机理，变换域完善与准完善保密研究，提出两种新的变换域加密方案；第五章为异步模数模加密研究，扩充了异步模数模加密的一般理论，介绍了两种新的无相位失真异步加密方案的原理与实现方法；第六章对模数模加密新方向：TASI应用途径、变换域伪谱插空置乱、噪声掩盖、多维置乱加密的原理和方法进行介绍，提出了自适应伪频插空异步模数模置乱算法与自适应DFT系数噪声掩盖置乱新算法；第七章为置换密钥性质、筛选准则以及构造方法研究的部分结果；第八章介绍了通用模数模加/解密实验系统的硬件、软件研制概况，并给出了几种加密方法的实验结果。

All phase Walsh transform ; biorthogonal transform ; dual biorthogonal base vectors ; JPEG image compression algorithm ; discrete cosine transform; peak signal to noise ratio

全相位沃尔什变换；双正交变换；对偶双正交基向量； JPEG压缩编码算法；离散余弦变换；峰值信噪比

Results The clouds can be effectively removed by applying the Convolution Operation、Fourier Transform, Fourer Transform Editor、Inverse Fourier Transform and Tasseled Cap; The cloud shadow can be removed by applying the Haze Reduction and Principal Components Analysis.

结果 利用空间卷积运算、傅立叶变换、傅立叶图像编辑、傅立叶逆变换组合和缨帽变换的方法有效地去掉了试验区图像上的云层；利用去霾处理和主成分分析方法按一定顺序组合将有效地去除云层的阴影。

At present,the research of digital watermarking focused on discrete fourier transform domain, Discrete cosine transform domain, Discrete wavelet transform domain and others, but its robustness need to be improved.

目前，对于频域数字水印技术的研究主要集中于离散傅里叶变换域、离散余弦变换域和离散小波变换域等，但其鲁棒性能都有待提高。

Adaptive filtering ; time-domain LMS ; discrete Fourier transform ; discrete cosine transform ; discrete wavelet transform

自适应滤波；时域LMS ；离散Fourier变换；离散余弦变换；小波变换

The JPEG standard algorithm ; arithmetic fourier transform; discrete cosine transform; fast discrete cosine transform

JPEG标准算法；算术傅立叶变换；离散余弦变换；快速离散余弦变换

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。

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。

Several integral transform s are named for the mathematicians who introduced them (Fourier transform , Laplace transform ).

几种积分变换依引进它们的数学家而命名，例如傅立叶变换、拉普拉斯变换

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样