二进制变换

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

In binary arithmetic, a complementation process where all the1's in a binary number are changed to0's and vice versa.

二进制运算中的一种求反过程，在这种过程中，二进制数中的所有1都变换成0，所有的0都变换成1。

In view of the coefficients of CDF9/7 wavelet filter are irrational number, we use the trigonometric function transform to factorize the perfect restruction and the biorthogonal conditions of biorthogonal wavelets filter banks, then optimize the coefficients of the original 9/7 wavelet filter banks, consequently a novel 9/7 wavelet filter banks with binary digit coefficients can be obtained.

2针对CDF9／7小波系数为无理数的缺点，对CDF9／7小波滤波器组的完全重构条件和双正交条件进行三角基函数变换和因式分解，并对求出的小波滤波器系数进行优化设计，得到一组滤波器系数都为二进制分数的9／7双正交小波滤波器组，大大降低了离散小波变换的算法复杂度。

This paper is composed of the algorithm design of dual-tree binary coefficients complex wavelets,MGM algorithm for linear systems that can be diagonalized by generalized discrete Fourier transform and type-II discrete sine transform matrices, wavelet and MGM algorithms for Toeplitz systems and their applications in signal and image processing.

本文以多进制小波与对偶树二进制系数复数小波算法设计、三角变换对角化系统MGM算法、Topelitz系统的小波与MGM结合算法作为理论主线，以对偶树复数小波与扩散方程方法结合的图像去噪，信号与恢复作为应用背景展开讨论。

In order to assist Boost converter design, the working process of the converter at discontinuous current mode was analyzed and a nonlinear mathematical model was estabilished as well. Case study on Matlab/ Simulink was performed with binary logical variable used, the simulation result was consistent with the theoretical analysis which proveed the validitd and feasibility of the proposed model. The model could be used to assist Boost circuit design effectively and supplie a basis for parameter optimization.

为了辅助升压变换器在应用中的设计，分析了电流断续状态下Boost变换器的工作过程，建立了这种状态下的Boost变换器非线性数学模型，在结合二进制逻辑变量，建立了Simulink模块下的变换器仿真模型，研究表明仿真结果与理论分析结果一致，证实了模型的准确性和可行性，这种逻辑与模拟结合的简明通用的模型可以高效辅助Boost电路设计并为参数优选打下了基础。

The every frame image was transformed by dyadic discrete wavelet and the characteristic of wavelet transform coefficient was analyzed. Low frequency coefficients were analyzed by fast principal component method which quoted Gram-Schmidt orthonormalization procedure in fixed-point algorithm then distilled principal component and reconstructed the low frequency coefficients. To suppress image noise, the high frequency coefficients were equated to zero.

该算法对热图像序列中的每帧图像进行二进制离散小波变换，提取出低频部分的系数；对低频系数进行改进PCA分析，通过固定点算法并引入Gram-Schmidt正交化过程求解特征向量；令高频系数为零，抑制图像的噪声。

In the absence of the chairman, his deputy take the chair

二进制运算中的一种求反过程，在这种过程中，二进制数中的所有1都变换成0，所有的0都变换成1。

A new concatenated code structure is proposed which concatenates a space-time block codes with non binary low density parity check codes, which is high-level modulated without any parallel-to-serial conversion to lower the error and simplify the system structure.

提出了一种新的级联码结构，将基于有限扩域的非二进制LDPC码和空时码级联，这种结构使得非二进制LDPC码不需要串并变换直接进行高阶调制，简化了系统结构，克服了串并变换所带来的误差。

This testing algorithm is called Sectionalized Test Method, which can shorten the testing time of path interference. For single mobile robot, we have presented a new path planning method via hybrid GA.

对于单机器人路径规划问题，本文首次开发了一种用于路径规划的混合遗传算法，由于在这个混合遗传算法中引入了个体编码串的解码变换方法，从而保证了由任意一个二进制编码串出发最终都能够找到一条有效的机器人行走路径。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。