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Effective High-Speed via Model Considering Equivalent High-Order-Mode Inductance 考虑等效高阶模式电感的有效高速通路模型
Pub Date : 2024-10-29 DOI: 10.1109/TSIPI.2024.3487539
Chaofeng Li;Xiao-Ding Cai;Manish K. Mathew;Junyong Park;Mehdi Mousavi;Shameem Ahmed;Bidyut Sen;DongHyun Kim
A high-speed via model considering equivalent high-order-mode inductance for frequencies above 70 GHz is proposed in this article. The proposed via model, which considers the equivalent high-order-mode inductance, is a high-accuracy and high-bandwidth via model, improved from the previously proposed mode-decomposition-based equivalent via (MEV) model. The equivalent high-order-mode inductance is an inductance produced by the magnetic fields of high-order modes in the via domain. By including the empirical equivalent high-order-mode inductance, the proposed via model accurately predicts the insertion and return losses of the via with a large antipad size up to the frequency of 150 GHz, which expands the application range of the previously proposed MEV model. In this article, the limitation of the previously proposed MEV model is analyzed by comparing the input impedance extracted from the MEV model and the full-wave simulation. An empirical closed-form formula is proposed to calculate the equivalent high-order-mode inductance at high frequencies to improve the accuracy of the previously proposed model. In addition, the proposed single high-speed via model was expanded to a differential via pair model. The proposed high-speed via model was verified using simulation and measurement results.
本文提出了一种考虑到等效高阶模式电感的高速通孔模型,适用于 70 GHz 以上的频率。所提出的通孔模型考虑了等效高阶模式电感,是一种高精度、高带宽的通孔模型,与之前提出的基于模式分解的等效通孔(MEV)模型相比有所改进。等效高阶模式电感是通孔域中高阶模式磁场产生的电感。通过加入经验等效高阶模电感,所提出的通孔模型能准确预测反垫尺寸较大、频率高达 150 GHz 的通孔的插入损耗和回波损耗,从而扩大了之前提出的 MEV 模型的应用范围。本文通过比较从 MEV 模型和全波仿真中提取的输入阻抗,分析了之前提出的 MEV 模型的局限性。本文提出了一个经验闭式公式来计算高频率下的等效高阶模式电感,以提高之前提出的模型的准确性。此外,还将提出的单高速通孔模型扩展为差分通孔对模型。仿真和测量结果验证了所提出的高速通孔模型。
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引用次数: 0
Optimized Signal and Power Integrity of Silicon Interposer for HBM2E in CoWoS Packaging 针对 CoWoS 封装中的 HBM2E 优化硅集成电路的信号和功率完整性
Pub Date : 2024-10-29 DOI: 10.1109/TSIPI.2024.3487547
Kuei-Ju Lin;Chien-Min Lin;Ruey-Beei Wu
As high-speed digital systems require faster transmission and computing speed, the impact of complex interconnects in a limited space on the electrical performance of the channel-link system becomes more and more serious. This article aims to optimize the interconnection links between the enhanced second-generation high-bandwidth memory modules and systems on chip (CPU or GPU) for achieving the optimized signal and power integrity. Since the signal lines are susceptible to crosstalk, an improved diagonal-staggering wiring scheme is proposed to reduce the coupling coefficient between the signal lines by at least five times. The contour map for the mismatched systems with the peak distortion analysis is then applied to quickly find the optimal impedance design of lines for the best eye diagram. At a data rate of 6.4 Gb/s with a rise time of 15 ps, the eye height is optimized to be 4.6 times that in the original layout. Finally, the power supply and grounds are interleaved to increase the capacitance and alleviate the power noise through the power delivery network (PDN) in the construction of the four-element voltage regulator module along with the on-chip capacitor and the specific power–ground layers. Modifying the layout scheme in the PDN with reasonable decoupling capacitance can lead to an additional 1.4 times improvement in the eye height over the original design.
随着高速数字系统要求更快的传输和计算速度,有限空间内的复杂互连对通道链路系统电气性能的影响变得越来越严重。本文旨在优化增强型第二代高带宽内存模块与片上系统(CPU 或 GPU)之间的互连链路,以实现优化的信号和电源完整性。由于信号线易受串扰影响,因此提出了一种改进的对角线交错布线方案,可将信号线之间的耦合系数降低至少五倍。然后,应用不匹配系统的等高线图和峰值失真分析,快速找到最佳线路阻抗设计,以获得最佳眼图。在数据速率为 6.4 Gb/s、上升时间为 15 ps 的情况下,眼图高度优化为原始布局的 4.6 倍。最后,在构建四元件稳压器模块时,电源和地线交错排列,以增加电容,并通过功率传输网络(PDN)以及片上电容和特定的电源-地线层减轻功率噪声。利用合理的去耦电容修改 PDN 中的布局方案,可使眼高比原设计提高 1.4 倍。
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引用次数: 0
Dual-Stripline Configuration for High-Density Routing in Chiplet Interconnects 用于 Chiplet 互连中高密度路由的双干线配置
Pub Date : 2024-10-01 DOI: 10.1109/TSIPI.2024.3471470
Shekar Geedimatla;Jayaprakash Balachandran;Midhun Vysakham;Srinivas Venkataraman;Shalabh Gupta
Routing density is becoming in big challenge in die-to-die interconnects. In this article, we propose use of the dual-stripline configuration for routing signals in high-density interconnects. The scheme can improve the routing density by up to 33% when compared with the conventionally used stripline configuration. To address the challenges of crosstalk due to the proximity between vertically adjacent signal lines, half-pitch offset between lines on vertically adjacent layers has been proposed. The proposed routing scheme has been validated using 3-D full-wave electromagnetic simulations. The simulations show that the scheme can be used for increasing the routing density in the bunch-of-wires interface by 25%, while meeting all the bunch-of-wires channel specifications, which include eye-opening value above 68% unit interval at a bit error rate of $10^{-15}$, with data rates of 16 Gbps per wire.
路由密度正成为芯片到芯片互连的一大挑战。在本文中,我们建议在高密度互连中使用双条线配置来路由信号。与传统的条纹线配置相比,该方案可将路由密度提高 33%。为了解决由于垂直相邻信号线之间距离过近而产生串扰的难题,我们提出了垂直相邻层上信号线之间半间距偏移的方案。我们利用三维全波电磁仿真验证了所提出的布线方案。仿真结果表明,该方案可用于将束线接口的路由密度提高 25%,同时满足所有束线信道规范,包括在误码率为 10^{-15}$ 的情况下,单位间隔值高于 68%,每条导线的数据传输速率为 16 Gbps。
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引用次数: 0
Ultrawideband Power-Noise Suppression Based on Lossy Capacitors With Low-Frequency Stopband Enhancement for Digital Systems 基于有损电容器的超宽带功率噪声抑制与数字系统的低频阻带增强功能
Pub Date : 2024-08-14 DOI: 10.1109/TSIPI.2024.3442986
Yingfeng Ding;Mu-Shui Zhang;Yufang Xu;Haopeng Feng;Zixin Wang
For most board-level digital systems, the power-noise interference covers a wide frequency range from near dc to several GHz. Current power-noise suppression methods can only selectively suppress low-frequency or high-frequency band-limited power noise. In this article, a novel plane pair embedded with lossy capacitors, each of which is formed by a conventional capacitor in series with a large resistor, is developed for ultrawideband power-noise suppression in high-speed digital systems, ranging from 10 kHz to several GHz. The noise suppression mechanism of the proposed structure is keeping the quality factor (Q-factor) of a plane pair to a very low level, say Q<4,>Q-factor of a unit cell of the plane pair and adjusted by changing the physical parameters, such as series resistance, dielectric thickness, and period. The measured results show that the proposed plane pair embedded with lossy capacitors can achieve ultrawide −30-dB stopband, from 10 kHz to above 5 GHz.
对于大多数板级数字系统来说,功率噪声干扰的频率范围很广,从近乎直流到几千兆赫。目前的功率噪声抑制方法只能选择性地抑制低频或高频带限功率噪声。本文开发了一种嵌入有损电容器的新型平面对,每个平面对由一个传统电容器与一个大电阻串联而成,用于高速数字系统中的超宽带功率噪声抑制,频率范围从 10 kHz 到几 GHz。拟议结构的噪声抑制机制是将平面对的品质因数(Q 因子)保持在一个非常低的水平,即平面对单元单元的 QQ 因子,并通过改变物理参数(如串联电阻、介质厚度和周期)进行调整。测量结果表明,嵌入有损电容器的拟议平面对可以实现从 10 kHz 到 5 GHz 以上的 -30-dB 超宽阻带。
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引用次数: 0
Modeling of a Voltage Regulator Module for Power Integrity: Power Supply Induced Jitter 电源完整性稳压器模块建模:电源引起的抖动
Pub Date : 2024-06-19 DOI: 10.1109/TSIPI.2024.3416088
Junho Joo;Daniel L. Commerou;Hayden Huang;Chun-Yi Yeh;Jiaming Kang;Hank Lin;Bin-Chyi Tseng;Chulsoon Hwang
This article analyzes different methods for modeling a buck regulator among the variety of voltage regulator modules from the perspective of power integrity and assesses the accuracy of power supply induced jitter (PSIJ) predictions for each buck regulator model. To compare the buck regulator modeling approaches, methods for conventional passive component modeling and behavior modeling are introduced. Four different buck regulator models are compared with measurements in terms of time-domain voltage ripple and nonlinearity. Then, each model is applied to a simulation-based system-level PSIJ prediction setup to quantify the accuracy of the buck regulator models from the perspective of PSIJ. A printed circuit board with an inverter chain powered by an external buck regulator is selected as the device under test. In the presence of power supply fluctuations due to load current injection on the buck regulator, the time interval error of the inverter is measured. The measured peak-to-peak jitter is then reproduced by various simulation setups with the different buck regulator modeling methods. Finally, the PSIJ simulation accuracy is investigated for each buck regulator model.
本文从电源完整性的角度分析了各种稳压器模块中降压稳压器的不同建模方法,并评估了每种降压稳压器模型的电源诱导抖动(PSIJ)预测精度。为了比较降压稳压器建模方法,介绍了传统无源元件建模和行为建模方法。在时域电压纹波和非线性方面,将四种不同的降压稳压器模型与测量结果进行了比较。然后,将每个模型应用于基于仿真的系统级 PSIJ 预测设置,从 PSIJ 的角度量化降压稳压器模型的准确性。我们选择了一块带有由外部降压稳压器供电的逆变器链的印刷电路板作为测试设备。在降压稳压器上注入负载电流导致电源波动的情况下,测量逆变器的时间间隔误差。然后,利用不同的降压稳压器建模方法,通过各种仿真设置重现测得的峰峰值抖动。最后,对每个降压稳压器模型的 PSIJ 仿真精度进行研究。
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引用次数: 0
A Novel Vertical Conductive Structure for Printed Circuit Boards and its Scalable Model 用于印刷电路板的新型垂直导电结构及其可扩展模型
Pub Date : 2024-04-19 DOI: 10.1109/TSIPI.2024.3391210
Junyong Park;Chaofeng Li;Eddie Mok;Joe Dickson;Joan Tourné;Aritharan Thurairajaratnam;DongHyun Kim
This article proposes a new vertical conductive structure (VeCS) to replace the general via structure for signal connection on printed circuit boards (PCBs). Vias have been widely used as interconnects for in-between layers in PCBs. However, vias have limitations due to their discontinuous characteristic impedance. The VeCS consists of a conductive structure shielded vertically by a metal structure, which provides impedance control. Thus, the VeCS has the constant characteristic impedance that can get better signal integrity for the high-speed channel than the general via structure. This article also proposes a scalable 3-D electromagnetic simulation model of the VeCS for signal integrity analysis. Simulated annealing and linear regression revealed that the scalable model accurately represents the VeCS. The electrical performances of a VeCS and a via were compared up to 70 GHz. The measured insertion losses at 70 GHz for the VeCS and the via were 35 dB and 70 dB, respectively, because PCB vias exhibit significant reflection loss above 10 GHz. In conclusion, this article proposes a novel vertical interconnection for PCBs.
本文提出了一种新的垂直导电结构(VeCS),以取代印刷电路板(PCB)上用于信号连接的一般通孔结构。通孔已被广泛用作印刷电路板层间的互连。然而,通孔因其不连续的特性阻抗而存在局限性。VeCS 包含一个由金属结构垂直屏蔽的导电结构,可提供阻抗控制。因此,与一般通孔结构相比,VeCS 具有恒定的特性阻抗,可以获得更好的高速通道信号完整性。本文还提出了用于信号完整性分析的可扩展 VeCS 三维电磁仿真模型。模拟退火和线性回归结果表明,可扩展模型准确地代表了 VeCS。比较了 VeCS 和通孔高达 70 GHz 的电气性能。在 70 GHz 时,VeCS 和通孔的测量插入损耗分别为 35 dB 和 70 dB,因为 PCB 通孔在 10 GHz 以上会表现出明显的反射损耗。总之,本文为印刷电路板提出了一种新型垂直互连技术。
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引用次数: 0
Bandpass NGD Analysis of PCB Folded Li-Shape Trace 带通 NGD 分析 PCB 折叠李形轨迹
Pub Date : 2024-04-19 DOI: 10.1109/TSIPI.2024.3391212
Fayu Wan;Hongchuan Jia;Blaise Ravelo
An unfamiliar negative group delay (NGD) analysis of folded printed circuit board (PCB) trace constituted by coupled line (CL) is investigated. The PCB trace parameters are identified by defining the modified CL named li-topology, which behaves as a bandpass (BP) NGD function. The main specifications of the BP-NGD function from the S-parameter model are described. The theoretical equations of li-topology parameters are formulated. Then, proofs-of-concept (POC) of folded li-trace with different angles between “l” and “i” transmission line (TL) designed in microstrip technology are presented. Good agreement simulation and measurement results of folded li-POC enable conjecture on the variation of NGD value, NGD center frequency, reflection, and transmission coefficients are discussed. A new behavior characterized by the NGD effect is revealed in the function of the geometrical angle between the “l” and “i” TLs constituting the PCB trace POCs.
研究了由耦合线(CL)构成的折叠印刷电路板(PCB)迹线的陌生负群延迟(NGD)分析。通过定义名为 li-topology 的改良 CL 来确定 PCB 线路参数,该 PCB 线路表现为带通 (BP) NGD 函数。从 S 参数模型描述了 BP-NGD 函数的主要规格。制定了 li 拓扑参数的理论方程。然后,介绍了采用微带技术设计的具有不同 "l "和 "i "传输线(TL)夹角的折叠 li-trace 概念验证(POC)。折叠 li-POC 的仿真和测量结果非常吻合,因此可以猜测 NGD 值、NGD 中心频率、反射和传输系数的变化。构成 PCB 跟踪 POC 的 "l "和 "i "TL 之间的几何角度的函数揭示了以 NGD 效应为特征的新行为。
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引用次数: 0
Near-Field Coupling Analysis of Flexible Printed Circuit Boards 柔性印刷电路板的近场耦合分析
Pub Date : 2024-03-30 DOI: 10.1109/TSIPI.2024.3406267
Yang Liu;Yuwei Luo;Zhifei Xu;Xiuqin Chu;Jun Wang;Kai-Da Xu
Flexible printed circuit boards (FPCB) can provide more circuit design solutions for the miniaturization of electronic devices due to their small size, lightweight, and flexibility for bending. However, RF interference from RF antennas or other radiation sources may lead to signal integrity issues in FPCB signal transmission with the increase in transmission rate. To address this issue, a method based on the reciprocity theorem is proposed for rapidly estimating the near-field coupling between two single-port devices on an FPCB under bending conditions. Three different cases for the FPCB, i.e., no bending, bending outside the victim transmission line (TL), and bending across the victim TL, are analyzed to characterize the near-field coupling by deriving the expressions of the scattering parameters. Moreover, the bending angle, rotating angle, bending position, and bending diameter of FPCB are further analyzed for their impact on coupling under bending conditions. The proposed method can be used to analyze various FPCB bending situations.
柔性印刷电路板(FPCB)体积小、重量轻、弯曲灵活,可为电子设备的微型化提供更多的电路设计解决方案。然而,随着传输速率的提高,来自射频天线或其他辐射源的射频干扰可能会导致 FPCB 信号传输中的信号完整性问题。针对这一问题,我们提出了一种基于互易定理的方法,用于快速估算 FPCB 上两个单端口器件在弯曲条件下的近场耦合。分析了 FPCB 的三种不同情况,即无弯曲、在受害传输线(TL)外弯曲和跨受害传输线弯曲,通过推导散射参数的表达式来描述近场耦合。此外,还进一步分析了 FPCB 的弯曲角、旋转角、弯曲位置和弯曲直径对弯曲条件下耦合的影响。所提出的方法可用于分析各种 FPCB 弯曲情况。
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引用次数: 0
Investigation of Voltage Regulator Module (VRM)-Induced Noise to High-Speed Signals With VRM via Design Factors 通过设计因素调查稳压器模块(VRM)对高速信号产生的噪声
Pub Date : 2024-03-29 DOI: 10.1109/TSIPI.2024.3407030
Junho Joo;Manish K. Mathew;Arun Chada;Soumya Singh;Seema PK;Bhyrav Mutnury;DongHyun Kim
As the complexity of server platforms increases, the noise produced by switching voltage regulator modules (VRMs) is more likely to be coupled to nearby high-speed traces. This study aims to investigate the mechanism of noise coupling between the noise generated by a VRM and a high-speed signal trace, as well as to evaluate various noise-reduction methods. A VRM's rapid switching of field effect transistors generates an unintentional coupling region that primarily injects noise into high-speed traces routed in the inner signal layers of the printed circuit boards (PCBs) in server platforms. To analyze various VRM noise coupling mechanisms in practical high-speed channels, a simplified PCB design based on a high-speed server platform is designed and fabricated. In addition, case studies are conducted under various conditions to validate the most efficient VRM noise coupling reduction method by both simulation and measurement. Finally, various design factors that influence VRM noise coupling are evaluated to propose guidelines for high-speed channel designers. This study presents the first comprehensive analysis of different noise coupling mechanisms and an IR drop aware guideline to reduce noise in dense high-speed systems containing a VRM.
随着服务器平台复杂性的增加,开关稳压器模块(VRM)产生的噪声更有可能耦合到附近的高速信号轨迹。本研究旨在探讨 VRM 产生的噪声与高速信号轨迹之间的噪声耦合机制,并评估各种降噪方法。VRM 的场效应晶体管快速开关会产生一个无意耦合区域,主要将噪声注入服务器平台印刷电路板(PCB)内部信号层中的高速信号线。为了分析实际高速通道中的各种 VRM 噪声耦合机制,设计并制作了基于高速服务器平台的简化 PCB 设计。此外,还在各种条件下进行了案例研究,以通过模拟和测量验证最有效的 VRM 噪声耦合降低方法。最后,对影响 VRM 噪声耦合的各种设计因素进行了评估,为高速通道设计人员提出了指导建议。本研究首次对不同的噪声耦合机制进行了全面分析,并提出了在包含 VRM 的密集高速系统中降低噪声的红外下降感知指南。
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引用次数: 0
Perturbed Pin Map Design for Low Differential Crosstalk in 112 Gb/s PAM4 Applications 在 112 Gb/s PAM4 应用中实现低差分串扰的扰动引脚图设计
Pub Date : 2024-03-10 DOI: 10.1109/TSIPI.2024.3399099
Mu-Shui Zhang;Yingfeng Ding;Zixin Wang
As the wired communication data rate increases up to 112 Gb/s and even higher, the differential crosstalk from neighboring pairs becomes much more serious and could significantly deteriorate signal integrity. In this article, a perturbed pin map design method is proposed to reduce the differential crosstalk for 112 Gb/s four-level pulse amplitude modulation applications. Three physical parameters, the distance of two signal pins in a pair, the angle of two adjacent signal pairs, and the positions of surrounding ground vias, are perturbed for maximum crosstalk reduction. Without changing the signal-to-ground ratio and area per differential pair, the proposed pin map patterns can significantly mitigate the total differential crosstalk in via connection field, by both common-mode cancelation enhancement of signal vias and shielding effect improvement of ground vias through perturbation. Numerical examples are performed to verify the validity of crosstalk reduction in both square and triangular pin arrays. Finally, the effect of perturbation amplitude on crosstalk reduction is analyzed; it is shown that differential crosstalk decreases fast when the perturbed offset is smaller than 2r (r is the radius of balls), and it becomes slow when the perturbed offset is larger than 2r. Compared with the nonperturbed square and triangular patterns, the integrated crosstalk noises of the perturbed patterns are reduced by 70.62% and 68.72%, respectively, at 112 Gb/s, and the insertion loss to crosstalk ratios are averagely increased by 11 dB and 8 dB, respectively, up to 40 GHz, with a perturbed offset of 2r.
随着有线通信数据传输速率提高到 112 Gb/s,甚至更高,来自邻近线对的差分串扰变得更加严重,并可能显著恶化信号完整性。本文提出了一种扰动引脚图设计方法,以减少 112 Gb/s 四电平脉冲幅度调制应用中的差分串扰。为了最大限度地减少串扰,对三个物理参数(一对信号引脚中两个引脚的距离、两个相邻信号对的角度以及周围接地孔的位置)进行了扰动。在不改变信地比和每个差分对面积的情况下,通过扰动增强信号通孔的共模抵消和改善接地通孔的屏蔽效果,所提出的引脚映射模式可显著降低通孔连接场中的总差分串扰。通过数值示例验证了在方形和三角形引脚阵列中减少串扰的有效性。最后,分析了扰动幅度对减少串扰的影响;结果表明,当扰动偏移小于 2r(r 为球的半径)时,差分串扰会快速减小;当扰动偏移大于 2r 时,差分串扰会变得缓慢。与未扰动的正方形和三角形图案相比,扰动图案的综合串扰噪声在 112 Gb/s 时分别降低了 70.62% 和 68.72%,插入损耗与串扰比平均分别提高了 11 dB 和 8 dB,最高可达 40 GHz,扰动偏移为 2r。
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引用次数: 0
期刊
IEEE Transactions on Signal and Power Integrity
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