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2021 IEEE 25th Workshop on Signal and Power Integrity (SPI)最新文献

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A Multi-Fidelity Polynomial Chaos Approach for Uncertainty Quantification of MWCNT Interconnect Networks in the Presence of Imperfect Contacts 不完全接触下MWCNT互连网络不确定性量化的多保真多项式混沌方法
Pub Date : 2021-05-10 DOI: 10.1109/SPI52361.2021.9505239
Surila Guglani, K. Dimple, B. Kaushik, Sourajeet Roy, Rohit Sharma
In this paper, a polynomial chaos (PC) approach based on the concept of multi-fidelity algorithms is presented for uncertainty quantification of multi-walled carbon nanotube (MWCNT) interconnect networks exhibiting imperfect contacts. The salient feature of the proposed approach is the development of a new low-fidelity model where each MWCNT conductor is represented as multiple parasitically coupled equivalent conductors depending on the nature of the contact resistance of each shell making up that conductor. This proposed low-fidelity model is provably more accurate than existing low-fidelity models, thereby leading to even faster construction of PC metamodels than previously possible.
本文提出了一种基于多保真度算法概念的多项式混沌(PC)方法,用于不完全接触的多壁碳纳米管(MWCNT)互连网络的不确定性量化。该方法的显著特点是开发了一种新的低保真模型,其中每个MWCNT导体根据构成该导体的每个外壳的接触电阻的性质表示为多个寄生耦合等效导体。这种提出的低保真度模型比现有的低保真度模型更准确,从而导致比以前可能更快地构建PC元模型。
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引用次数: 2
Investigation of an Integrated Directional Coupler Manufactured by a Field-Assisted Diffusion Process 场辅助扩散法制备集成定向耦合器的研究
Pub Date : 2021-05-10 DOI: 10.1109/SPI52361.2021.9505219
Daniel Uebach, Thomas Kühler, E. Griese
An integrated directional couplers manufactured in thin glass sheets by a field-assisted diffusion process is analyzed. The Coupler is designed for a simultaneous bidirectional chip-to-chip intercommunication in Electro-Optical Printed Circuit Boards (EOPCBs). A numerical investigation to optimize the designed coupler efficiency is presented using a geometrical optics algorithm. The results are verified by measurements to achieve an optimal coupler structure.
分析了用场辅助扩散法制备的薄板定向耦合器。该耦合器设计用于光电印刷电路板(EOPCBs)中同时双向芯片对芯片的相互通信。采用几何光学算法对所设计的耦合器效率进行了优化。通过测量验证了结果,得到了最优的耦合器结构。
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引用次数: 1
Bayesian Optimization of Hyperparameters in Kernel-Based Delay Rational Models 基于核延迟有理模型的超参数贝叶斯优化
Pub Date : 2021-05-10 DOI: 10.1109/SPI52361.2021.9505195
F. Treviso, R. Trinchero, F. Canavero
This paper presents an automatic procedure for the optimization of the hyperparameters of a delay rational model approximating the frequency-domain behavior of high-speed interconnects. The proposed model is built via a kernel-based regression, such as the Least-Square Support Vector Machine (LS-SVM), by considering an ad-hoc kernel with two hyperparameters related to the propagation delays introduced by the system. Such hyperparameters, along with the Tikhonov regularizer used by the LS-SVM regression, are carefully tuned via an automatic approach based on a k-fold cross-validation and Bayesian optimization. The feasibility of the effectiveness of the proposed modeling approach are investigated on a high-speed link.
本文提出了一种自动优化接近高速互连频域特性的延迟有理模型超参数的方法。该模型是通过基于核的回归,如最小二乘支持向量机(LS-SVM),通过考虑一个具有两个与系统引入的传播延迟相关的超参数的自组织核来构建的。这些超参数,以及LS-SVM回归使用的Tikhonov正则化器,通过基于k-fold交叉验证和贝叶斯优化的自动方法进行仔细调整。在高速链路上验证了所提建模方法的可行性和有效性。
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引用次数: 0
Error Propagation in Channel Operating Margin 信道运行余量中的误差传播
Pub Date : 2021-05-10 DOI: 10.1109/SPI52361.2021.9505189
Longfei Bai
Channel Operating Margin (COM) is an efficient method to evaluate high speed interconnects. Two 100GBASE-KP4 backplanes are simulated and compared to give a brief introduction of COM. The pulse responses of COM are validated by comparing to the transient circuit simulation. A generic model for error propagation is proposed based on the COM results and Markov Chain. It shows that backplane designs with large Decision Feedback Equalizer (DFE) taps can have significant error propagation effect, which degrades the system performance further.
信道运行余量(COM)是评价高速互连的有效方法。对两种100GBASE-KP4背板进行了仿真和比较,简要介绍了COM技术。通过与暂态电路仿真的对比,验证了COM的脉冲响应。基于COM结果和马尔可夫链,提出了一种通用的误差传播模型。结果表明,采用较大的决策反馈均衡器抽头的背板设计会产生明显的误差传播效应,从而进一步降低系统性能。
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引用次数: 0
Machine Learning-Based Verilog-A Modeling for Power Distribution Network of On-Die Regulator 基于机器学习的On-Die调节器配电网络Verilog-A建模
Pub Date : 2021-05-10 DOI: 10.1109/SPI52361.2021.9505184
Michael Chang, Simon M. Kao, Stephen Chu, Bryant Hsu, Mark Ciou, Kevin Chung, Robby Ho
The paper introduces a Verilog-A model with the skill of vector fitting and neural network for the efficient methodology to analyze the power distribution network of on-chip linear dropout regulator (LDO). A practical methodology demonstrates the effectiveness and the efficiency of the Verilog-A model in the time domain and is derived that takes into account LDO-PDN system impedance response. The goal is to provide adequate performance for cost-effective and system solution and achieving on system-level success.
本文介绍了一种基于向量拟合和神经网络的Verilog-A模型,该模型是分析片上线性差压调节器(LDO)配电网络的有效方法。一个实用的方法证明了Verilog-A模型在时域的有效性和效率,并推导了考虑LDO-PDN系统阻抗响应的Verilog-A模型。目标是为具有成本效益的系统解决方案提供足够的性能,并实现系统级的成功。
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引用次数: 0
De-mystifying the impact of Intra-pair Skew on high-speed SerDes Interconnect 揭开对高速SerDes互连的Intra-pair Skew影响的面纱
Pub Date : 2021-05-10 DOI: 10.1109/SPI52361.2021.9505171
H. Dsilva, S. McMorrow, A. Gregory, S. Krooswyk, R. Mellitz, Beomtaek Lee
At higher data rate (50 Gbps+), there is a need to understand the different interconnect impairments that lead to margin degradation. This paper presents the impact of intra-pair skew from a magnitude and polarity perspective on the interconnect electrical characteristics. Presented is the results of differential insertion loss, mode conversion and differential far-end crosstalk along with margin degradation through channel operating margin in operating at 106.25 Gbps PAM4 signaling. Simulated is a differential microstrip structure using a full-wave electromagnetic wave simulator. Results show that magnitude of intra-pair skew leads to degradation in differential insertion loss due to energy getting converted to common-mode. Insertion loss and intra-pair skew share a cosine relation and hence the impact of intra-pair skew on differential insertion loss is dependent on the magnitude of skew alone. In the case of differential far-end crosstalk, the impact of intra-pair skew may be constructive or destructive depending on the magnitude and polarity of intra-pair skew. Intra-pair skew leads to propagation time difference which in turn impacts the crosstalk and thus impact of intra-pair skew on crosstalk is dependent on the magnitude along with the polarity of skew. Presented is a overview on the importance of capturing the impact of common-mode to differential-mode conversion on margin degradation, which is not captured by many channel simulation tools. This work is an attempt at presenting the importance of limiting the intra-pair skew in the interconnect when targeting higher data rates (50 Gbps+).
在更高的数据速率(50 Gbps+)下,需要了解导致边际下降的不同互连损伤。本文从幅度和极性的角度介绍了对内偏斜对互连电特性的影响。给出了在106.25 Gbps PAM4信号下,差分插入损耗、模式转换和差分远端串扰的结果,以及通过信道工作裕度造成的裕度退化。利用全波电磁波模拟器模拟了差分微带结构。结果表明,由于能量转换为共模,对内偏斜的大小会导致差分插入损耗的下降。插入损耗和对内偏斜共享余弦关系,因此对内偏斜对差分插入损耗的影响仅取决于偏斜的大小。在差分远端串扰的情况下,对内偏斜的影响可能是建设性的,也可能是破坏性的,这取决于对内偏斜的大小和极性。对内偏斜会导致传播时差,而传播时差又会影响串扰,因此对内偏斜对串扰的影响取决于偏斜的大小和极性。本文概述了捕获共模到差模转换对裕度退化的影响的重要性,这是许多信道模拟工具无法捕获的。这项工作试图展示在以更高的数据速率(50 Gbps+)为目标时,限制互连中对内偏斜的重要性。
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引用次数: 0
A Compact and Broadband On-Chip Delay Line Design Based on the Bridged T-Coil 基于桥接t型线圈的紧凑宽带片上延迟线设计
Pub Date : 2021-05-10 DOI: 10.1109/SPI52361.2021.9505174
S. R. Mahendra, A. Weisshaar
This paper presents a design approach for on-chip realization of compact and broadband delay units based on the bridged T-coil. Closed-form design equations for the bridged T-coil circuit elements are derived from the 2nd order Padé approximation. Standardized delay units are designed having high isolation from adjacent circuitry by use of a guard ring. The main layout parasitics are incorporated into the design and a detailed design procedure together with a parasitic circuit model is presented. Two delay units for 20-ps and 30-ps delay are designed in a TowerSemi 0.18μm SiGe BiCMOS process to demonstrate the design approach. Full-wave electromagnetic simulations demonstrate the flatness of the group delay responses up to 13 GHz for the 20-ps delay and up to 8 GHz for the 30-ps delay, exceeding the bandwidths obtained with the Padé approximation design with negligible increase in insertion loss and negligible ripple in the flat group delay region. The maximum insertion loss in the region with flat group delay is less than 1dB.
本文提出了一种基于桥接t型线圈的紧凑型宽带延迟单元片上实现的设计方法。利用二阶pad近似导出了桥式t线圈电路元件的封闭设计方程。通过使用保护环,标准化延迟单元设计具有与相邻电路的高度隔离。将主布局寄生电路纳入设计,给出了详细的设计步骤和寄生电路模型。采用TowerSemi 0.18μm SiGe BiCMOS工艺设计了两个20-ps和30-ps延迟单元来演示该设计方法。全波电磁仿真表明,在20-ps延时下,组延迟响应的平坦度为13 GHz,在30-ps延时下,组延迟响应的平坦度为8 GHz,超过了pad近似设计获得的带宽,插入损耗的增加可以忽略不计,平坦组延迟区域的纹波可以忽略不计。平坦群延迟区域的最大插入损耗小于1dB。
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引用次数: 1
Intra-Pair Skew Metric, EIPS (Effective Intra-Pair Skew) 有效双内偏度(EIPS)
Pub Date : 2021-05-10 DOI: 10.1109/SPI52361.2021.9505188
Se-jung Moon, Jianting Li, Xinjun Zhang, Chien-Ping Kao, Beomtaek Lee, H. Dsilva, Jong-Ru Guo
In the high-speed differential (HSD) interface design, the intra-pair skew becomes more critical as the link speed is ever increasing beyond 56Gbps+ signaling. The skew within a differential pair (intra-pair skew) deteriorates eye opening at the receiver and degrades the channel performance significantly in HSD signaling. However, industry lacks in an accurate and stable intra-pair skew measurement methodology, which created a significant gap in interconnect testing and qualification. In this paper, the effective intra-pair skew (EIPS) is introduced, which is directly calculated from S-parameter data as a single value without time-domain conversion. The EIPS is verified by correlating to the eye opening and the common-mode noise (CMN) in the HSD link of PCIe Gen5 32Gbps NRZ signaling. The MATLAB script for the EIPS calculation is included in the appendix.
在高速差分(HSD)接口设计中,当链路速度超过56Gbps以上时,对内倾斜变得越来越重要。差分对内的歪斜(对内歪斜)恶化了接收机的睁开眼,并在HSD信号中显著降低了信道性能。然而,业界缺乏准确和稳定的对内偏度测量方法,这在互连测试和鉴定方面造成了很大的差距。本文介绍了有效对内偏斜(EIPS),它是直接从s参数数据作为单个值计算出来的,不需要进行时域转换。EIPS通过与PCIe Gen5 32Gbps NRZ信号的HSD链路中的睁开眼和共模噪声(CMN)进行关联来验证。用于EIPS计算的MATLAB脚本包含在附录中。
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引用次数: 1
Analysis of Differential Crosstalk and Transmission for Via Arrays in Low Temperature Cofired Ceramics 低温共烧陶瓷中通孔阵列的差分串扰及传输分析
Pub Date : 2021-05-10 DOI: 10.1109/SPI52361.2021.9505214
Ö. Yildiz, N. Pathé, Marc Bochard, Cheng Yang, C. Schuster
Given the ubiquitous use of via arrays in multilayer substrates based on organic materials, this work explores ceramic-based solutions instead. Assuming typical design and technology constraints, the performance of via arrays on low temperature cofired ceramics is studied in terms of crosstalk as well as transmission. Both single-ended and differential signaling are considered, thus covering a broad range of use cases for microwave applications and high-speed digital links. By employing single vias optimized with respect to 50Ω systems as fundamental building blocks for larger via arrays, different array configurations are proposed and analyzed. The question as to what moving from organic to ceramic materials and vice versa implies in terms of electrical performance is investigated. The majority of the work is based on the computationally efficient physics-based via modeling technique due to the size and complexity of the via array models, but comparisons to conventional full-wave solvers show strong agreement between the two methods up to 50GHz.
鉴于通孔阵列在基于有机材料的多层衬底中的普遍使用,本研究探索了基于陶瓷的解决方案。在典型的设计和技术约束下,从串扰和传输两方面研究了低温共烧陶瓷上的过孔阵列的性能。考虑了单端和差分信号,从而涵盖了微波应用和高速数字链路的广泛用例。通过采用相对于50Ω系统优化的单通孔作为大型通孔阵列的基本构建块,提出并分析了不同的阵列配置。问题是什么移动从有机陶瓷材料,反之亦然意味着电性能方面进行了调查。由于通孔阵列模型的大小和复杂性,大部分工作都是基于计算效率高的物理通孔建模技术,但与传统的全波求解器相比,两种方法在50GHz范围内具有很强的一致性。
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引用次数: 1
PCB analysis method by S-parameters for power inverters with GaN devices in parallel GaN并联逆变器的s参数PCB分析方法
Pub Date : 2021-05-10 DOI: 10.1109/SPI52361.2021.9505182
R. Franchino, R. Mitova
A method and a modeling procedure to simulate and optimize a half bridge power inverter with GaN (gallium nitride) transistors in parallel is proposed. The method is based on S-parameters calculation of the PCB (Printed Circuit Board) and the definition of relevant frequency simulation allowing to characterize harmful couplings effects of the PCB on transistors. The definition of the frequency analysis is explained on the criterion of the current sharing between transistors in parallel, considering the functional switching sequence of the inverter. The frequency analysis is carried out on a four-port Y matrix of the switching loop including PCB couplings and relevant components. The efficiency of the method is demonstrated by the successful modification of the PCB.
提出了一种氮化镓晶体管并联半桥逆变器的仿真与优化方法和建模步骤。该方法是基于PCB(印刷电路板)的s参数计算和相关频率模拟的定义,允许表征PCB对晶体管的有害耦合效应。在考虑逆变器功能开关顺序的情况下,从晶体管并联共流的判据上解释了频率分析的定义。对包含PCB联轴器和相关元件的开关回路的四端口Y矩阵进行频率分析。通过对PCB板的成功改造,证明了该方法的有效性。
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引用次数: 0
期刊
2021 IEEE 25th Workshop on Signal and Power Integrity (SPI)
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