变换

Then, the relation between vibration and sound, the acoustic holography method, the indeterminacy and identifiability of BSS, the BSS algorithm are discussed in detail. Based on above researches, the dissertation is divided in following four sections. The first section investigates the BSS algorithm suitable to acoustic feature separation. The algorithm of the joint approximate diagonalization of eigen-matrices is proposed. The spectra or the time-frequency distributions of source signals are the interesting features in ABD and they are separated from mixing signals by JADE algorithm. Then, the convolutive mixing model is transformed into a high-dimension instantaneous mixing model, and the deconvolution of source signals is achieved by the joint approximate block diagonalization of eigen-matrices. The proposed algorithm has a global minimum, and it is unsensitive to noise interference.

论文首先概述国内外声学诊断研究进展与盲分离研究进展，给出机器噪声声场与盲分离的数学描述，讨论了声振辐射、声全息、盲分离模型、盲分离可解性、盲分离结果不确定性、分离算法等基本问题，在此基础上，论文的研究工作分为以下四个部分：第一部分研究适用于声学特征分离的盲分离算法，提出基于特征提取的联合近似对角化盲分离算法，该算法以频谱特征或时频特征作为分离目标，从混合信号中分离源信号频谱特征或时频特征，最大限度地保留了与声学特征提取有关的频谱特征或时频特征，采用模型变换把卷积混合模型变换为一个高维瞬时混合模型，通过联合近似分块对角化算法实现源信号频谱特征与时频特征的盲反卷积。

Image scrambling transform ; Doolittle decomposition ; Crout decomposition ; Gauss-Jordan elimination ; inverse transform ; multiplication inversion

图像置乱变换；杜里特尔分解；克劳特分解；高斯-约当消去；逆变换；乘法逆元

The principle of harmonic wave detection which is based on wavelet transform was expatiated. It introduced a new approach of harmonic measurement based on period-interleaving of arithmetic for dissymmetrical system.

首先论述了基于小波变换的谐波检测的原理，根据目前小波变换在三相不对称系统谐波检测中存在的无法分离基波信号之不足，介绍了一种用于三相不对称系统的基于周期交错的测量方法。

By utilizing the character of dissymmetrical fractional fourier transform and combine the algorithm advantage of space domain and frequency domain,it presents a blind image watermarking algorithm.

结合空间域和变换域算法特点，利用不对称分数傅立叶变换的特性，提出了一种图象盲水印算法。

The shift-variant property of the wavelet transform and three-dimension wavelet transform are also discussed in the thesis. And simulation experiment has been made exploringly for the motion estimation using Low-Band-Shift method aim at overcoming the temporal variance of the wavelet transform.

论文还对利用三维小波变换进行视频编码以及小波变换存在的移变性进行了分析讨论，并介绍了克服这种移变性的低子带位移运动估计的方法，探索性地进行了计算机仿真。

Acorrding to the character that wavelet transform technique can localize thetime-domain and frequency-domain, it can focalize any detail of signals and can recognize theabrupt signal and nostationary signal. The characteristics of typical fault for the centrifugalcompressor rotor are extracted by wavelet transform, and the characteristics vector is foundedby using energy as element.

通过小波变换技术对时域和频域同时具有良好的局部化性质，可以聚焦到信号的任意细节，对突变信号和非平稳信号具有很强的识别能力，利用小波包变换对离心压缩机转子典型故障的振动信号进行特征提取，并以&能量&为元素，构造离心压缩机故障信号的特征向量，以便神经网络识别。

By introducing a parametric canonical transformation,Hamiltonian constraintequation in SO(3)ADM phase space is transformed into the parametric formin the Ashtekar phase space.

本文中提出了一个参数化的正则变换，将Palatini理论中SO(3)ADM相空间中的哈密顿约束方程变换到阿西特卡相空间，由此导出参数化的约束方程。

In this paper, we define quadratic spline as wavelet, do the two dimentional dyadic wavelet transform on near-infrared galactophore image, and get local modulus maxima from wavelet transforms results----rnodulus and angles, so we can find the blood vessel edge image in each scales, at last, we compute a good edge image which synthesize the characters in each scale.

本文中用二次样条小波作为小波基函数，对乳腺近红外图像进行二维二进小波变换，计算小波变换结果的局部模极大值点，得到各个尺度下的乳腺近红外图像血管的边缘，最后得到综合了各个尺度特征的较好的血管图像的边缘。

Fast Fourior Transform plays an important roll in digital signal processing,its the kernel algorithm in a lot of process for signal processing.this paper first summarizes many algorithm for Fast Fourior Transform that in common use and synthesizes many reasons to adopt the radix-2 Demation-in-Frequency algorithm,then it compares two ways of implementing digital signal processing,the two ways are in field-programmable gata array and in programmable digital signal processor respectively.it points out the advantage and disadvantage of two ways.

快速傅立叶变换是数字信号处理中的重要内容之一，是很多信号处理过程中的核心算法。本文先总结了快速傅立叶变换的一些常用算法，并综合种种因素，采用了基2按频率抽取算法作为实现算法，然后将以现场可编程门阵列和以DSP处理器这两种实现数字信号处理的方式进行了比较，指出了各自的优点和不足之处。

In model experiments, we find that the deviation of the first derivative calculated by Fourier transform is very large to comparing with the theoretical derivative, but the fitting effect of the derivative of anomalies calculated by cosine transform is very good. The calculation accuracy of data are all very high except that errors of several data on the boundary are large because of the residual Gibbus effect induced by finite truncation of gravity anomalies. Errors are -009%～5%.

模型实验中发现，用Fourier变换计算的一阶导数与理论导数偏差很大，而余弦变换计算的导数与理论异常导数拟合效果非常好，除边界几个数据因重力异常的有限截断产生的吉布斯效应残留使误差较大外，数据的计算精度均很高，误差为-009%～5%。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。