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公开(公告)号：US07644381B2
公开(公告)日：2010-01-05
申请号：US11736378
申请日：2007-04-17
IPC分类号： G06F17/50
CPC分类号： G06F17/5036 , G06F17/5081
摘要： A method and system to efficiently create electromagnetic coupled basis functions for an electronic circuit that is defined by geometry data and topology data. The geometry data for the circuit are read, and a three-dimensional mesh of polygons for the circuit is created. External port geometry and internal port geometry (internal ports occur where vias are attached to conductive layers) are determined from the geometry data. Circuit electromagnetic basis functions are then created as are loop-tree formations that are coupled to the basis functions. The loops include local loops, via loops, and hole loops. The three-dimensional mesh is efficiently created by extruding a two-dimensional mesh for each layer and via in the circuit.
摘要翻译： 一种用于为由几何数据和拓扑数据定义的电子电路有效地创建电磁耦合基函数的方法和系统。 读取电路的几何数据，并创建用于电路的多边形的三维网格。 外部端口几何形状和内部端口几何形状（通过导电层连接通孔的内部端口）由几何数据确定。 然后创建电路电磁基函数，就像耦合到基本函数的循环树形式一样。 环路包括本地环路，环路和孔环路。 通过在电路中为每个层和通孔挤出二维网格来有效地创建三维网格。
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公开(公告)号：US07149666B2
公开(公告)日：2006-12-12
申请号：US10159965
申请日：2002-05-30
申请人： Leung Tsang , Houfei Chen , Chungchi Huang , Vikram Jandhyala
发明人： Leung Tsang , Houfei Chen , Chungchi Huang , Vikram Jandhyala
IPC分类号： G06F17/60
CPC分类号： G06F17/5036
摘要： Analyzing interactions between vias in multilayered electronic packages that include at least two spaced-apart conducting planes, and multiple vias that connect signal traces on different layers. Voltages at active via ports are represented as magnetic ring current sources, which generate electromagnetic modes inside the plane structure. Substantial electromagnetic coupling between vias occurs. A full-wave solution of multiple scattering among cylindrical vias in planar waveguides is derived using Foldy-Lax equations. By using the equivalence principle, the coupling is decomposed into interior and exterior problems. For the interior problem, the dyadic Green's function is expressed in terms of vector cylindrical waves and waveguide modes. The Foldy-Lax equations for multiple scattering among the cylindrical vias are applied, and waveguide modes are decoupled in the Foldy-Lax equations. The scattering matrix of coupling among vias is then calculated for use in determining signal reflection, transmission, and/or coupling in the electronics package.
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3.发明申请公开(公告)号：US20140129623A1
公开(公告)日：2014-05-08
申请号：US14113197
申请日：2012-04-23
申请人： Vikram Jandhyala
发明人： Vikram Jandhyala
IPC分类号： H04L29/06
CPC分类号： H04L67/42 , H04L9/00 , H04L2209/46
摘要： Methods and devices configured to provide a key-free, one-way coding of sensitive data such that efficient parallel scaling methods may be used to perform computations related to the sensitive initial data without risking unwanted disclosure of the sensitive initial data are provided. In some embodiments, a set of intermediate representations of the initial data set is calculated using a one-way computation. The set of intermediate representations is then sent to a server computing system for calculating results in a scalable manner. The initial data is secured from unwanted access at the server computing system at least because the one-way computation does not allow the initial data to be derived from the intermediate representations.
摘要翻译： 提供了被配置为提供敏感数据的无钥匙单向编码的方法和设备，使得可以使用有效的并行缩放方法来执行与敏感的初始数据相关的计算，而不会冒险不敏感的初始数据的不必要的泄露。 在一些实施例中，使用单向计算来计算初始数据集的一组中间表示。 然后将该组中间表示发送到服务器计算系统，以便以可缩放的方式计算结果。 至少由于单向计算不允许从中间表示中导出初始数据，所以初始数据在服务器计算系统处得到有害的访问。
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4.发明申请Adaptive Redundancy-Extraction for 3D Electromagnetic Simulation of Electronic Systems 有权电子系统三维电磁仿真的自适应冗余提取公开(公告)号：US20120259598A1
公开(公告)日：2012-10-11
申请号：US13082818
申请日：2011-04-08
IPC分类号： G06F17/10
CPC分类号： G06F17/5018 , G06F17/5036 , G06F2217/16
摘要： Redundancy extraction in electromagnetic simulation of an electronic device/system includes discretizing first and second spaced conductive layers of a computer model of an electronic device/system into first and second meshes M1 and M2. For each edge between cells of each mesh, a current flow across the edge in response to application of an exemplary bias to the geometry is determined. A square impedance matrix Z* is determined which, for each instance of equal magnitude and opposite direction current flows (EMODCF) in edges E1 and E2 of M1 and M2, has one less row and one less column than the total number of edges in M1 and M2. A voltage column vector V* is also determined which, for each instance of EMODCF, has one less row than the total number of edges in M1 and M2. A current column vector [I*]=[V*]/[Z*] is then determined.
摘要翻译： 电子设备/系统的电磁仿真中的冗余提取包括将电子设备/系统的计算机模型的第一和第二间隔导电层离散成第一和第二网格M1和M2。 对于每个网格的单元之间的每个边缘，确定响应于对几何形状的示例性偏置的应用而跨越边缘的电流。 确定矩形阻抗矩阵Z *，对于M1和M2的边缘E1和E2中的相等幅度和相反方向电流（EMODCF）的每个情况，对于M1中的边缘的总数少一列，少于M1中的边的总数 和M2。 还确定电压列向量V *，对于EMODCF的每个实例，对于M1和M2中的边缘总数少一行。 然后确定当前列向量[I *] = [V *] / [Z *]。
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公开(公告)号：US08271240B2
公开(公告)日：2012-09-18
申请号：US12859531
申请日：2010-08-19
申请人： Vikram Jandhyala
发明人： Vikram Jandhyala
IPC分类号： G06F17/10
CPC分类号： G06F17/5018 , G06F17/5095 , G06F2217/04
摘要： In a method of electronic design automation, discretized meshes of layers of current conducting materials of a computerized device model are determined. Each discretized mesh corresponds to the current conducting material of one model layer. For each discretized mesh, a corresponding impedance matrix having cells is determined. Each cell includes an impedance value Zij which is based on a voltage (Vi) induced in a cell i of the discretized mesh due to a current (Ij) flowing in a cell j of the discretized mesh. A subset of the cells, including impedance values, of the impedance matrices is dispatched to node computers via an electronic communications network. In response to dispatching the cells of the impedance matrices, charge densities estimated by the node computers to exist on a subset of the cells of the discretized meshes are returned.
摘要翻译： 在电子设计自动化的方法中，确定计算机化设备模型的电流导电材料层的离散网格。 每个离散网格对应于一个模型层的当前导电材料。 对于每个离散网格，确定具有单元的对应阻抗矩阵。 每个单元包括阻抗值Zij，其基于由离散化网格的单元格j中流动的电流（Ij）而导致的离散网格的单元i中感应的电压（Vi）。 通过电子通信网络将阻抗矩阵的单元的子集（包括阻抗值）调度到节点计算机。 响应于调度阻抗矩阵的单元，返回由节点计算机估计存在于离散化网格的单元的子集上的电荷密度。
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公开(公告)号：US20090177456A1
公开(公告)日：2009-07-09
申请号：US11968698
申请日：2008-01-03
IPC分类号： G06F17/50
CPC分类号： G06F17/5036 , G06F17/5018 , G06F2217/16
摘要： In a method, system and computer readable medium for determining a composite circuit model of a 3D geometry, first and second sides of an analytical model of the 3D geometry are discretize into first and second surface and/or volume meshes. For each mesh, a current that flows in each cell thereof and the a voltage induced in the cell in response to the application of an exemplary bias to the geometry are determined. For each mesh, from the currents flowing in the cells thereof and voltages induced in the cells thereof, a corresponding circuit model is determined. The circuit models of the meshes are then combined to form a composite circuit model for the geometry.
摘要翻译： 在用于确定3D几何的复合电路模型的系统和计算机可读介质中，3D几何的分析模型的第一和第二侧离散成第一和第二表面和/或体积网格。 对于每个网格，确定在其每个单元中流动的电流和响应于对几何形状的示例性偏置的应用而在单元中感应的电压。 对于每个网格，从在其单元中流动的电流和在其单元中感应的电压，确定相应的电路模型。 然后将网格的电路模型组合以形成几何的复合电路模型。
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7.发明授权Green's function formulations for pagerank algorithm using helmholtz wave equation representations of internet interactions 失效绿色功能公式为pagerank算法使用亥姆霍兹波方程表示的互联网互动公开(公告)号：US08250069B2
公开(公告)日：2012-08-21
申请号：US12250990
申请日：2008-10-14
申请人： Vikram Jandhyala
发明人： Vikram Jandhyala
CPC分类号： G06F17/30864
摘要： A novel approach to determining PageRank for web pages views the problem as being comparable to solving for an electromagnetic field problem. This view of ranking web pages enables appropriate entries for a matrix G of the web (or a subset), so that fast-solver techniques can be employed to iterate G, solving for ranks, or a dominant eigenstructure, achieving an O(N log N) performance in time and memory requirements. The specific solver technique that is used can be, for example, a fast multi-pole method (FMM), or a multilevel low-rank compression method. Once the problem is correctly formulated, it is not necessary to create the matrix G. Local information can be queried on demand by the solver. This approach can also be used to determine different scores of web pages, such as TrustRank, which is indicative of their trustworthiness.
摘要翻译： 确定网页的PageRank的新颖方法将问题视为与电磁场问题的解决相当的问题。 排名网页的这种观点使得web（或子集）的矩阵G能够进行适当的输入，从而可以采用快速求解技术来迭代G，解决等级或主要特征结构，从而实现O（N log N）时间和记忆要求的表现。 所使用的具体求解器技术可以是例如快速多极方法（FMM）或多级低等级压缩方法。 一旦问题得到正确的制定，就没有必要创建矩阵G.地方信息可以由求解者根据需要进行查询。 这种方法也可用于确定不同分数的网页，如TrustRank，这表明其可信赖性。
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8.发明申请公开(公告)号：US20100057408A1
公开(公告)日：2010-03-04
申请号：US12199277
申请日：2008-08-27
CPC分类号： G06F17/5009 , G06F2217/16
摘要： In one exemplary approach, a Schur complement-based boundary element method (BEM) is employed for predicting the motion of arbitrarily shaped three-dimensional particles under combined external and fluidic force fields. The BEM relies on modeling the surface of the computational domain, significantly reducing the number of unknowns when compared to volume-based methods. In addition, the Schur complement-based scheme enables a static portion of the computation to be computed only once for use in subsequent time steps, which leads to a tremendous reduction in solution time during time-stepping in the microfluidic domain. Parallelized oct-tree based O(N) multilevel iterative solvers are also used to accelerate the setup and solution costs.
摘要翻译： 在一个示例性方法中，采用基于Schur补码的边界元方法（BEM）来预测组合的外部和流体力场下的任意形状的三维粒子的运动。 BEM依赖于对计算领域的表面建模，与基于体积的方法相比，显着减少了未知数。 此外，基于Schur补码的方案使得计算的静态部分仅计算一次，以用于随后的时间步长，这导致在微流体域中的时间步长期间解决时间的巨大降低。 基于并行八进制的O（N）多级迭代求解器也用于加速设置和解决方案成本。
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9.发明申请COMBINED FAST MULTIPOLE-QR COMPRESSION TECHNIQUE FOR SOLVING ELECTRICALLY SMALL TO LARGE STRUCTURES FOR BROADBAND APPLICATIONS 有权用于解决电动小型到组合应用的大型结构的组合快速多点QR压缩技术公开(公告)号：US20080027689A1
公开(公告)日：2008-01-31
申请号：US11778369
申请日：2007-07-16
CPC分类号： G06F17/5009 , G06F2217/16
摘要： An approach that efficiently solves for a desired parameter of a system or device that can include both electrically large FMM elements, and electrically small QR elements. The system or device is setup as an oct-tree structure that can include regions of both the FMM type and the QR type. An iterative solver is then used to determine a first matrix vector product for any electrically large elements, and a second matrix vector product for any electrically small elements that are included in the structure. These matrix vector products for the electrically large elements and the electrically small elements are combined, and a net delta for a combination of the matrix vector products is determined. The iteration continues until a net delta is obtained that is within predefined limits. The matrix vector products that were last obtained are used to solve for the desired parameter.
摘要翻译： 有效地解决可以包括电大FMM元件和电小QR元件的系统或装置的期望参数的方法。 系统或设备被设置为可以包括FMM类型和QR类型的区域的八叉树结构。 然后使用迭代求解器来确定用于任何电大元件的第一矩阵矢量积，以及用于包括在该结构中的任何电小元件的第二矩阵矢量积。 用于电大元件和电小元件的这些矩阵向量积被组合，并且确定矩阵向量积的组合的净增量。 迭代继续，直到得到在预定义限度内的净增量。 最后获得的矩阵矢量产品用于求解所需参数。
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公开(公告)号：US20080015829A1
公开(公告)日：2008-01-17
申请号：US11778568
申请日：2007-07-16
IPC分类号： G06F17/10
CPC分类号： G06F17/5036 , G06F2217/10
摘要： A method and system for combining the process variations in circuits and distributed interconnect-based electromagnetic (EM) objects in order to capture a statistical behavior of overall circuit performance parameters. In an exemplary approach, a coupled circuit-EM system is decoupled at the points where the EM objects connect to the circuit portion, and circuit ports are defined at those points. The sources of variation are identified and used to determine Y-parameters for the ports with EM elements and for all EM elements based on the SPICE-like and EM full-wave simulations. A response surface is generated for each variable and is used to extract circuit and EM parameters by generating many random vectors representing combinations of the random variables. These Y-parameters are merged to produce a PDF of one or more performance metrics for the electronic device or system.
摘要翻译： 一种用于组合电路中的过程变化和基于分布式互连的电磁（EM）对象的方法和系统，以便捕获总体电路性能参数的统计行为。 在示例性方法中，耦合电路EM系统在EM对象连接到电路部分的点处被去耦，并且在这些点处限定电路端口。 识别变化源，并用于基于SPICE和EM全波模拟来确定具有EM元件的端口和所有EM元件的Y参数。 为每个变量生成响应面，并通过生成表示随机变量的组合的许多随机向量来提取电路和EM参数。 合并这些Y参数以产生电子设备或系统的一个或多个性能指标的PDF。
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