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Delay-Based Macromodeling of Long Interconnects From Frequency-Domain Terminal Responses 基于频域终端响应的长互连延迟宏建模
Pub Date : 2010-02-01 DOI: 10.1109/TADVP.2008.2010525
A. Chinea, Student Member Ieee Piero Triverio, Senior Member Ieee Stefano Grivet-Talocia
We present a robust and efficient scheme for the generation of delay-based macromodels from frequency-domain tabulated responses. These responses can come from both simulation or direct measurement. The main algorithm is based on an iterative weighted least-squares process for the identification of delayed rational approximations. In case that pole relocation is performed during the iterations, the scheme can be interpreted as a generalization of the well-known vector fitting algorithm to delayed systems. Therefore, we denote this algorithm as delayed vector fitting (DVF). In case no pole relocation is performed, the scheme generalizes the so-called Sanathanan-Koerner iteration, calling for the denomination of delayed Sanathanan-Koerner algorithm. These techniques produce compact macromodels that are readily synthesized in SPICE-compatible equivalent circuits including delayed sources or ideal transmission line elements. These macromodels outperform classical rational macromodels in terms of simulation time. Several examples illustrate the advantages of proposed methodology.
我们提出了一种鲁棒和有效的方案,用于从频域表化响应生成基于延迟的宏模型。这些响应可以来自模拟或直接测量。主要算法是基于迭代加权最小二乘过程来识别延迟有理逼近。如果在迭代过程中进行极点重新定位,则该方案可以解释为将众所周知的向量拟合算法推广到延迟系统。因此,我们将该算法称为延迟向量拟合(DVF)。在不进行极点重定位的情况下,该方案推广了所谓的Sanathanan-Koerner迭代,称为延迟Sanathanan-Koerner算法。这些技术产生紧凑的宏模型,易于在spice兼容的等效电路中合成,包括延迟源或理想的传输线元件。这些宏观模型在模拟时间方面优于经典的理性宏观模型。几个例子说明了所提出的方法的优点。
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引用次数: 51
Defect Detection of Flip Chip Solder Bumps With Wavelet Analysis of Laser Ultrasound Signals 基于激光超声信号小波分析的倒装芯片焊点缺陷检测
Pub Date : 2010-02-01 DOI: 10.1109/TADVP.2009.2034634
Jin Yang, I. C. Ume, Lizheng Zhang
Microelectronics packaging technology has evolved from through-hole and bulk configuration to surface-mount and small-profile ones. In surface mount packaging, such as flip chips, chip scale packages, and ball grid arrays, chips/packages are attached to the substrates/printed wiring board (PWB) using solder bump interconnections. Solder bumps hidden between the chips/packages and the substrate/board are no longer visible for inspection. A novel solder bump inspection system has been developed using laser ultrasound and interferometer techniques. This system has been successfully applied to detect solder bump defects including missing, misaligned, open, and cracked solder bumps in flip chip packages, chip scale packages and land grid arrays. The system uses a pulsed Nd:YAG laser to induce ultrasound in the thermoelastic regime and the transient out-of-plane displacement response in nanometer scale on the package surface is measured using the interferometer technique. In this paper, wavelet analysis of laser ultrasound signals is presented and compared to previous signal processing methods, such as error ratio and correlation coefficient. The results show that wavelet analysis increases measurement sensitivity for inspecting solder bumps in electronic packages. Laser ultrasound inspection results are also compared to X-ray results. In particular, this paper discusses defect detection for a 6.35 mm × 6.35 mm × 0.6 mm PB18 flip chip package and flip chip package (¿SiMAF¿) with 24 lead-free solder bumps. These two types of flip chip specimens are both nonunderfilled.
微电子封装技术已经从通孔封装和批量封装发展到表面贴装封装和小轮廓封装。在表面贴装封装中,如倒装芯片、芯片级封装和球栅阵列,芯片/封装使用凸点连接连接到基板/印刷配线板(PWB)上。隐藏在芯片/封装和基板/电路板之间的焊料凸起在检查时不再可见。利用激光超声和干涉仪技术,研制了一种新型的凸点检测系统。该系统已成功应用于倒装芯片封装、芯片规模封装和地面网格阵列中焊点凸起缺陷的检测,包括缺失、不对准、打开和裂纹焊点缺陷。该系统采用脉冲Nd:YAG激光诱导热弹性超声,采用干涉仪技术测量了封装表面纳米尺度的瞬态面外位移响应。本文对激光超声信号进行了小波分析,并与以往的误差率、相关系数等信号处理方法进行了比较。结果表明,小波分析提高了电子封装中焊点检测的灵敏度。激光超声检查结果也与x射线结果进行比较。本文特别讨论了6.35 mm × 6.35 mm × 0.6 mm PB18倒装芯片封装和具有24个无铅焊点的倒装芯片封装(¿SiMAF¿)的缺陷检测。这两种类型的倒装芯片标本都是非欠填充的。
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引用次数: 19
$z$ -Domain Orthonormal Basis Functions for Physical System Identifications $z$ -物理系统标识的域正交基函数
Pub Date : 2010-02-01 DOI: 10.1109/TADVP.2009.2019965
B. Nouri, R. Achar, M. Nakhla
In this paper, novel z-domain orthonormal basis functions are presented for physical systems identification. The new basis functions yield guaranteed real-valued time-domain responses for physical systems containing both real and complex-conjugate poles. Also, application of the new basis functions is demonstrated by adopting them for z-domain orthogonal vector fitting algorithm. Necessary theoretical foundations and validating examples are presented.
本文提出了一种新的用于物理系统辨识的z域正交基函数。新的基函数为包含实极和复共轭极点的物理系统提供了保证的实值时域响应。并通过将新基函数应用于z域正交向量拟合算法,说明了新基函数的应用。给出了必要的理论基础和验证实例。
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引用次数: 16
Hierarchical Finite-Element Reduction-Recovery Method for Large-Scale Transient Analysis of High-Speed Integrated Circuits 高速集成电路大规模暂态分析的层次有限元还原法
Pub Date : 2010-02-01 DOI: 10.1109/TADVP.2009.2019844
H. Gan, D. Jiao
This paper proposes a hierarchical finite-element reduction-recovery method for large-scale transient analysis of high-speed integrated circuits. This method rigorously reduces the matrix of a multilayer system of O(N) to that of a single-cell system of O(1) regardless of the original problem size. More important, the matrix reduction is achieved analytically, and hence the CPU and memory overheads are minimal. In addition, the reduction preserves the sparsity of the original system matrix. As a result, the matrix factorization cost is reduced to O(1) by the proposed method. The CPU cost at each time step scales linearly with the number of unknowns. The method is applicable to any Manhattan-type integrated circuit embedded in layered dielectric media. Numerical and experimental results demonstrate the performance of the proposed method.
提出了一种用于高速集成电路大规模暂态分析的分层有限元还原方法。该方法将O(N)多层系统的矩阵严格化简为O(1)单细胞系统的矩阵,而不考虑原始问题的大小。更重要的是,矩阵减少是通过分析实现的,因此CPU和内存开销最小。此外,这种约简保留了原始系统矩阵的稀疏性。结果表明,该方法将矩阵分解成本降低到0(1)。每个时间步长的CPU成本与未知数的数量呈线性关系。该方法适用于任何嵌入在层状介质中的曼哈顿型集成电路。数值和实验结果验证了该方法的有效性。
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引用次数: 10
Wideband Circuit Model for Planar EBG Structures 平面EBG结构的宽带电路模型
Pub Date : 2010-02-01 DOI: 10.1109/TADVP.2009.2021156
B. Mohajer-Iravani, O. Ramahi
In this paper, we present a comprehensive equivalent circuit model to accurately characterize an important class of electromagnetic bandgap (EBG) structures over a wide range of frequencies. The model is developed based on a combination of lumped elements and transmission lines. The model presented here predicts with high degree of accuracy the dispersion diagram over a wide band of frequencies. Since the circuit model can be simulated using SPICE-like simulation tools, optimization of EBG structures to meet specific engineering criteria can be performed with high efficiency, thus saving significant computation time and memory resources. The model was validated by comparison to full-wave simulation results.
在本文中,我们提出了一个全面的等效电路模型,以准确表征一类重要的电磁带隙(EBG)结构在宽频率范围内的特性。该模型是基于集总元件与传输线的结合而建立的。本文所提出的模型在较宽的频带范围内对色散图进行了高精度的预测。由于电路模型可以使用类似spice的仿真工具进行仿真,因此可以高效地对EBG结构进行优化,以满足特定的工程标准,从而节省大量的计算时间和内存资源。通过与全波仿真结果的对比,验证了模型的有效性。
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引用次数: 45
The Impact of On-Wafer Calibration Method on the Measured Results of Coplanar Waveguide Circuits 片上校准方法对共面波导电路测量结果的影响
Pub Date : 2010-02-01 DOI: 10.1109/TADVP.2009.2025365
Qian Li, K. Melde
This paper compares four commonly used on-wafer calibration methods including multiline thru-reflect-line (TRL), line-reflect-reflect-match, line-reflect-match, and short-open-load- thru, for three diverse coplanar waveguide (CPW) circuits. The magnitudes and phases of S 11 and S 21 of the CPW circuits are compared to quantify how the specific calibration method influences measured scattering parameters. Special care is taken to ensure that the measured scattering parameters are normalized to the same reference impedance and reference plane for accurate comparison. The measured results are compared with full-wave simulations to provide additional assessment of accuracy. A method to de-embed the discontinuity of the CPW at the probe tip and the CPW of the test structures is presented. The effect of probe-to-device-under-test discontinuity is effectively modeled by one- or two- section of shunt capacitor and series inductor. The results show that the multiline TRL calibration method provides the highest transmission coefficient repeatability on not well-matched circuits and highest accuracy on the three circuits in this paper up to 40 GHz.
针对三种不同的共面波导(CPW)电路,比较了四种常用的片上校准方法,包括多线通反射线(TRL)、线反射-反射匹配、线反射匹配和短开负载通。比较了CPW电路的s11和s21的幅值和相位,量化了特定校准方法对测量散射参数的影响。特别注意确保测量的散射参数归一化到相同的参考阻抗和参考平面,以便进行准确的比较。测量结果与全波模拟结果进行了比较,以提供额外的精度评估。提出了一种去除探针端CPW不连续性和测试结构CPW不连续性的方法。通过一段或两段并联电容和串联电感,可以有效地模拟测端与被测器件间不连续的影响。结果表明,多线TRL校准方法在非匹配电路上具有最高的传输系数可重复性,在40 GHz以下的三个电路上具有最高的精度。
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引用次数: 11
Noise Isolation in Mixed-Signal Systems Using Alternating Impedance Electromagnetic Bandgap (AI-EBG) Structure-Based Power Distribution Network (PDN) 基于交流阻抗电磁带隙(AI-EBG)结构的配电网络(PDN)在混合信号系统中的噪声隔离
Pub Date : 2010-02-01 DOI: 10.1109/TADVP.2009.2033705
Jinwoo Choi, V. Govind, M. Swaminathan, K. Bharath
This paper presents efficient noise isolation and suppression method in mixed-signal systems using alternating impedance electromagnetic bandgap (AI-EBG) structure-based power distribution network (PDN). Currently, split planes are used for isolation in mixed-signal systems for isolating sensitive RF/analog circuits from noisy digital circuits. However, split planes show good isolation only at low frequencies due to electromagnetic coupling through the gap. The AI-EBG structure-based PDN presented in this paper provides excellent isolation (-80 dB ~ -100 dB) in the frequency range of interest by suppressing almost all possible electromagnetic modes. The AI-EBG structure has been integrated into a mixed-signal test vehicle to demonstrate the isolation level achievable. The ability of the AI-EBG structure to suppress switching noise has been quantified in this paper. The AI-EBG structure provided greater than 100 dB of isolation in passive S-parameter measurement and suppressed in-band noise down to -88 dBm of isolation in a functional test.
提出了基于交流阻抗电磁带隙(AI-EBG)结构的配电网络(PDN)在混合信号系统中有效的噪声隔离和抑制方法。目前,在混合信号系统中,分离平面用于隔离敏感的射频/模拟电路和噪声的数字电路。然而,由于通过间隙的电磁耦合,分裂平面仅在低频时表现出良好的隔离。本文提出的基于AI-EBG结构的PDN通过抑制几乎所有可能的电磁模式,在感兴趣的频率范围内提供了良好的隔离(-80 dB ~ -100 dB)。AI-EBG结构已集成到混合信号测试车辆中,以验证可实现的隔离级别。本文对AI-EBG结构抑制开关噪声的能力进行了量化。AI-EBG结构在被动s参数测量中提供了大于100 dB的隔离,在功能测试中将带内噪声抑制到-88 dBm的隔离。
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引用次数: 39
Novel 3-D Coaxial Interconnect System for Use in System-in-Package Applications 用于系统级封装应用的新型三维同轴互连系统
Pub Date : 2010-02-01 DOI: 10.1109/TADVP.2009.2033942
B. Lameres, C. McIntosh, M. Abusultan
This paper presents the design and demonstration of a novel die-to-die interconnect system for deployment in system-in-package (SiP) applications with adjacent or stacked-die configurations. The interconnect system consists of miniature coaxial cables that are mounted to a standard Silicon substrate using an etched trench along the perimeter of the die. The trench serves as a self-alignment feature for both the signal and ground contacts in addition to providing mechanical strain relief for the coaxial cable. The system is designed to interface on-chip coplanar transmission lines to off-chip coaxial transmission lines to produce a fully impedance matched system. This approach promises to dramatically improve the electrical performance of high-speed, die-to-die signals by eliminating impedance discontinuities, providing a shielded signal path, and providing a low-impedance return path for the switching signal. The new interconnect system is designed to be selectively added to a standard wire bond pad configuration using an incremental etching process. This paper describes the design process for the new approach including the fabrication sequence to create the transition trenches. Finite-element analysis is performed to evaluate the electrical performance of the proposed system.
本文介绍了一种新型模对模互连系统的设计和演示,该系统适用于具有相邻或堆叠模配置的系统级封装(SiP)应用。互连系统由微型同轴电缆组成,这些电缆安装在标准硅衬底上,使用沿模具周长的蚀刻沟槽。除了为同轴电缆提供机械应变缓解外,沟槽还可以作为信号和接地触点的自对准功能。该系统设计用于片上共面传输线与片外同轴传输线的接口,以产生完全阻抗匹配的系统。这种方法通过消除阻抗不连续、提供屏蔽信号路径和为开关信号提供低阻抗返回路径,有望显著提高高速模对模信号的电气性能。新的互连系统被设计为使用增量蚀刻工艺选择性地添加到标准的线键焊板配置中。本文描述了新方法的设计过程,包括创建过渡沟槽的制作顺序。进行了有限元分析以评估所提出系统的电气性能。
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引用次数: 16
Fast Reduced-Order Finite-Element Modeling of Lossy Thin Wires Using Lumped Impedance Elements 基于集总阻抗元件的有损细导线快速降阶有限元建模
Pub Date : 2010-02-01 DOI: 10.1109/TADVP.2009.2015958
Shih-Hao Lee, Jianming Jin
The spatial discretization of a thin wire often leads to a highly dense mesh in the peripheral region and thus increases the computational burden. In this paper, lossy conducting wires are modeled with infinitely thin lumped impedance elements, which significantly reduce the modeling complexity while still offers an accurate broadband modeling. This paper also describes the incorporation of lumped elements into our model order reduction formulation and the tree-cotree splitting technique.
细导线的空间离散化往往导致外围区域的网格密度很高,从而增加了计算量。在本文中,损耗导线的建模采用了无限细的集总阻抗元件,这大大降低了建模复杂性,同时仍然提供了准确的宽带建模。本文还介绍了将集总元素纳入模型降阶公式和树-余树分离技术。
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引用次数: 7
Reliability Verification of Hermetic Package With Nanoliter Cavity for RF-Micro Device 射频微器件用纳升腔密封封装可靠性验证
Pub Date : 2010-02-01 DOI: 10.1109/TADVP.2009.2019843
Byung-gil Jeong, S. Ham, Chang-youl Moon, Byung-Sung Kim
With the advance of high-performance and small-size microelectromechanical systems (MEMS) devices, wafer-level packaging has gained increased attention over the past few years. Most MEMS packages must protect the often-fragile mechanical structures against the environment and provide the interface for the interaction with the next level in the packaging hierarchy. It is obvious that stable performance and high reliability are essential requirements of a packaged device. In this paper, a novel hermetic package, called the WL-¿P, recently developed for radio-frequency (RF)-filter and RF-duplexer, will be reviewed in terms of its construction, fabrication process, and electrical/mechanical performance. The package consists of a device wafer for a MEMS device and a cap wafer that has a micromachined cavity and through-wafer vias for electrical connections. The cap and device wafers are bonded to each other through a closed square loop of gold/tin eutectic solder at the peripheral edge. The via-in-cavity structure is designed in the cap substrate, with vertical via holes fabricated and fully electroplated with copper. The detailed design and fabrication technology of this new type of hermetically sealed package are presented with process flow. The performance evaluation and reliability results of a hermetic package will also be presented. The developed wafer-level hermetic package technology is able to fulfill today's requirements for hermetic and cost-effective packaging of high-speed RF-MEMS applications.
随着高性能和小尺寸微机电系统(MEMS)器件的发展,晶圆级封装在过去几年中受到越来越多的关注。大多数MEMS封装必须保护通常脆弱的机械结构免受环境的影响,并提供与封装层次结构中的下一级交互的接口。显然,稳定的性能和高可靠性是封装设备的基本要求。在本文中,一种新型的密封封装,称为WL-¿P,最近开发的射频(RF)滤波器和射频双工器,将在其结构,制造工艺和电气/机械性能方面进行综述。该封装由用于MEMS器件的器件晶圆和具有微加工腔和用于电气连接的晶圆通孔的帽晶圆组成。帽和器件晶圆通过外围边缘的金/锡共晶焊料的正方形闭合环相互连接。在帽基板上设计腔内通孔结构,制作垂直通孔并完全电镀铜。介绍了这种新型密封封装的详细设计和制造工艺流程。本文还将介绍一种密封封装的性能评估和可靠性结果。开发的晶圆级密封封装技术能够满足当今高速RF-MEMS应用对密封和成本效益封装的要求。
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引用次数: 5
期刊
IEEE Transactions on Advanced Packaging
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