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The inner product is expressed through a multilevel decomposition of its arguments, in terms of components along a multiscale basis.


In this paper a new gauging algorithm for discrete vector potentials is introduced that relies on a hierarchical multilevel decomposition.


For multilevel decomposition, the fold back architecture principle, which interleaves the decimated scaling function back into the filter for subsequent levels, is applied.


The equations of motion can be represented by multilevel decomposition.


First, multilevel decomposition along several subpartitions is satisfied and a natural application to convergence decomposition along different territorial level arises.

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 A multilevel decomposition optimization method designed for large scale systems is described. The original system is decomposed into a number of branch shape subsystems; each parent system coordinate its subsystems while the whole system is under the coordination of the top system. Each subsystem is optimized respectively, and coordination optimizations are performed in all levels of parent systems to solve the original problem. Applying this method to large scale optimization may shorten operational... A multilevel decomposition optimization method designed for large scale systems is described. The original system is decomposed into a number of branch shape subsystems; each parent system coordinate its subsystems while the whole system is under the coordination of the top system. Each subsystem is optimized respectively, and coordination optimizations are performed in all levels of parent systems to solve the original problem. Applying this method to large scale optimization may shorten operational time and enhance convergence stability, due to its parallel operation ability and the reduction of operational scale which are both acquired in decomposition. Two examples are also given to demonstrate the effectiveness of the method.  多级分解优化方法将原系统分解为树枝状分布的多级较小子系统，每一个母体系统协调其下面的若干子系统，整个系统由一个最高级系统来协调。各级子系统在进行各自的优化的基础上，通过母体系统的协调过程最终获得问题的解。由于分解获得的并行运算性能和运算规模的降低，该法在应用于大规模优化问题上可以大大地缩短运算时间，提高设计效率，同时增强了收敛的稳定性。文中提供的算例也表明了该法是有效可行的。  A new lithology identification method based on axial amplitude modulation signal of drill string is proposed.The background noise on drilling string is easy to be induced.The axial amplitude modulation signal can be produced while drilling in rock formation with different lithology by using threecutter bit.The wavelet packet multileveldecomposition method was applied to threshold filter.The best wavelet coefficient vector is analyzed by fast Fourier transform,and the modulated feature is extracted... A new lithology identification method based on axial amplitude modulation signal of drill string is proposed.The background noise on drilling string is easy to be induced.The axial amplitude modulation signal can be produced while drilling in rock formation with different lithology by using threecutter bit.The wavelet packet multileveldecomposition method was applied to threshold filter.The best wavelet coefficient vector is analyzed by fast Fourier transform,and the modulated feature is extracted from the corrupted signal.The central frequency and sideband frequency are detected on spectrum figure.The number of complex tooth on bit corresponding to different lithology of rock has been obtained.The effective and fast lithology discrimination has been realized.  提出了一种利用钻柱轴向振动调幅信号实现岩性识别的方法。三牙轮钻头钻进不同岩石时易引发携带强烈背景躁声的钻柱轴向调幅振动信号 ,采用小波包多层分解、域值滤波、最优向量选取及重构信号等方法并结合快速傅立叶变换频谱分析 ,有效地提取出被噪声淹没的调幅信号 ,检测出中心频率及其边频率带 ,计算出与岩性相关的综合齿数 ,从而快速、有效地实现了岩性分类  By applying genetic engineering methodology into the incremental product growth design, a generic structural design approach was put forward, as well as an intelligent evolution strategy of the product units growth, which was based on multilevel Decomposition and Reconstruction of product gene.Firstly, a functional constraint based product gene decomposition model was built up by introducing the assembly complexity and manufacture complexity into the model, as a result of the model analysis, an optimized... By applying genetic engineering methodology into the incremental product growth design, a generic structural design approach was put forward, as well as an intelligent evolution strategy of the product units growth, which was based on multilevel Decomposition and Reconstruction of product gene.Firstly, a functional constraint based product gene decomposition model was built up by introducing the assembly complexity and manufacture complexity into the model, as a result of the model analysis, an optimized incremental growth process of product gene was obtained. Secondly, from the optimized incremental growth process, a novel reconstruction method of product gene was developed. Finally, the conceptual design of a clamping tool was given as an example to demonstrate the contribution of this method to product principle innovation in conceptual design.  将基因工程思想用于产品的进化设计过程,通过对产品基因的多级分解提出了产品组成单元的进化策略。在给出基于功能约束的产品基因分解数学模型的基础上,将装配复杂度及制造复杂度作为有效的控制约束引入其中,得出了产品基因的最优划分策略,在此基础上提出了基因重构方法。用滚子夹具设计实例验证了设计方法的有效性。   << 更多相关文摘 
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