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This paper introduces the nonideal latch model for the decision feedback equalizer (DFE) for statistical signal integrity (SI) analysis. The DFE equalizes inter-symbol-interference (ISI) noise from the channel in the time domain. The nonideal DFE may propagate an error due to the ISI noise, and the nonideal latch in the DFE may also generate a bit error in the DFE operation. The dynamic latch in the slicer of the DFE circuit amplifies the received signal in a recursive manner. During the amplification, the voltage difference ebetween the signal and the threshold voltage may be less amplified when the amplification time is not enough. Thus, the nonideal dynamic latch is another error source in the DFE operation. In order to reflect the effect of the nonideal latch, the gray zone is defined based on the transfer function of the dynamic latch with iterations. In other words, the gray zone is approximated with the Gaussian distribution and reflected into the statistical eye diagram. As a result of the nonideal latch model, the statistical eye diagram has blurred probability density functions (PDFs).

The differential transmission line has been widely used in the field of high-speed signals with its unique transmission characteristics, and it will be affected by many factors during the transmission process. In this paper, the differential transmission line is taken as the research object, and a three-dimensional electromagnetic simulation software CST is used to study its signal integrity performance parameters including characteristic impedance, loss, and crosstalk. It is found through simulation that increasing the spacing between differential pairs will reduce the crosstalk. The smaller the differential pair length, the greater the value of the insertion loss. This will improve the quality of signal transmission.

This paper presents an end-to-end simulation methodology for evaluating package-induced signal integrity (SI) degradation in a peripheral component interconnect express (PCIe) 5.0 channel. By integrating package, printed circuit board (PCB), and add-in card (AIC) structures into a unified simulation flow, the proposed approach enables accurate assessment of system-level eye diagram degradation. Various package-level degradation factors, such as impedance mismatch, meander routing, and via stubs, are assumed and designed to analyze their individual and combined effects on insertion loss, intra-pair skew, and eye diagrams. Results show that even localized discontinuities inside the package propagate and compound through the end-to-end channel, causing a significant reduction in the eye diagram at the system level. These findings demonstrate that package-induced impairments cannot be evaluated solely at the package level but must instead be analyzed within a complete end-to-end channel environment. The proposed methodology provides a practical framework for predicting system-level SI degradation caused by package design choices, offering valuable insights for next-generation high-speed package and channel co-design.

Ruggedized computers are the core of modern communication, guidance, control, and data-processing systems, and typically operate under extreme environmental conditions. However, under extreme service conditions such as temperature cycling, vibration, and mechanical shock, thermo–electro–mechanical (TME) multi-physics coupling in ball grid array (BGA) solder joints is particularly significant, severely affecting system reliability and signal integrity. To comprehensively elucidate the effects of thermal, electrical, and mechanical fields on solder joints and signal transmission, this study proposes a multiscale multi-physics modeling and analysis framework for BGA solder joints in microelectronic systems of ruggedized computers, covering the computer system level, motherboard level, solder joint level, and solder interconnect level. A model correlation study under ten thermal cycling conditions demonstrated an accuracy of 88.89%, confirming the validity and applicability of the proposed model. Based on this validated framework and model, the temperature distribution, stress–strain response, and signal integrity characteristics were further analyzed under combined conditions of thermal cycling, random vibration, and mechanical shock. The results indicate that a rise in temperature in solder joints induces thermal stresses and deformations, while variations in electrical conductivity under thermal loading trigger electromigration and concentration evolution, which further couple with stress gradients to form TME multi-physics interactions. Under such coupling, critical solder balls exhibit stress concentration at the metallurgical interfaces, with a maximum von Mises stress of 191.51 MPa accompanied by plastic strain accumulation. In addition, the PCIe high-speed interconnect experienced a maximum deformation of 16.104 μm and a voltage amplitude reduction of approximately 18.51% after 928 thermal cycles, exceeding the normal operating range. This research provides a theoretical basis and engineering reference for reliability assessment and optimization design of microelectronic systems in ruggedized computers in complex service environments.

The number of Printed Circuit Board (PCB) layers is continually increasing with the increase in data transmission rates, and the Signal Integrity (SI) of high-speed digital systems cannot be ignored. Introducing Vertical Interconnect Accesses (VIAs) in PCBs can realize the electrical connection between the top layer and the inner layers, however, VIAs represent one of the most important reasons for discontinuity between the PCBs and package. In this paper, a new optimization scheme for a differential VIA stub is proposed, with 3D full-wave numerical simulation used for modeling and simulation. Results show that this scheme optimizes the return loss and insertion loss while making the signal eye diagram more ideal, which can improve the transmission effect of high-speed signals.

This paper reviews a statistical signal integrity (SI) analysis at the system level for a high-speed system design. An eye diagram graphically shows a system’s performance. However, an eye diagram requires a long acquisition time for accurate results. The time-consuming nature of this process makes an eye-diagram-based SI analysis inefficient. Thus, a statistical eye diagram was introduced for an efficient SI analysis. The statistical eye diagram provides not only SI metrics such as eye height (EH) and eye width (EW), but also the bit-error rate (BER) profile for each channel. The data transmitted over the high-speed channels are determined by an upper hierarchy such as a system. In other words, the data are a function of the system parameters. In conclusion, a statistical eye diagram is determined by the high-speed channels and the system parameters. Therefore, the previous works on statistical eye diagrams at the channel and system levels have been introduced, respectively. This paper reviews the previous works for a system-level statistical SI analysis with a statistical eye diagram.

In this paper, a novel helix delay line with RPs structures is proposed to investigate the performance of crosstalk reduction. In the past, conventional delay lines consist of equal-length parallel unit lines which are closely packed to minimize the fabricated cost and routing area. All spacing between the adjacent parallel unit lines of delay lines should be smaller. When the operating signal frequency ups to the GHz level, the electromagnetic noise has become a dominant issue coupling from adjacent lines. It is called as a crosstalk source. The crosstalk may affect system-level timing. Besides, it causes error switching of logic gates that will reduce the signal quality. The feature of proposed helix delay line is that the far-end crosstalk (FEXT) is a dominated noise that accumulates at the receiving end. RPs structures are added and aligned at the center of the two parallel adjacent unit lines of the proposed helix delay line, which are used to reduce the difference between inductive and capacitive coupling coefficient ratios, and to reduce FEXT that maintains the signal integrity (SI) quality on receiving end.

This multimedia eBook establishes a solid foundation in the essential principles of how signals interact with transmission lines, how the physical design of interconnects affects transmission line properties, and how to interpret single-ended and differential time domain reflection (TDR) measurements to extract important figures of merits and avoid common mistakes. This book presents an intuitive understanding of transmission lines. Instructional videos are provided in every chapter that cover important aspects of the interconnect design and characterization process. This video eBook helps establish foundations for designing and characterizing the electrical properties of interconnects to explain in a simplified way how signals propagate and interact with interconnects and how the physical design of transmission structures will impact performance. Never be intimidated by impedance or differential pairs again.

It is necessary to reduce the crosstalk noise in high-speed signaling channels. In the channel routing area, the tabbed routing pattern is used to mitigate far-end crosstalk (FEXT), and the electrical length is controlled with a time domain reflectometer (TDR) and time domain transmission (TDT). However, unlike traditional channels having uniform width and space, the width and space of tabbed routing changes by segment, and the capacitance and inductance values of tabbed routing also change. In this paper, we propose a tabbed routing equivalent circuit modeling method using the segmentation approach. The proposed model was verified using 3D EM simulation and measurement results in the frequency domain. Based on the calculated inductance and capacitance parameters, we analyzed the insertion loss, FEXT, and self-impedance in the frequency domain, and TDT and FEXT in the time domain, by comparing the values of these metrics with and without tabbed routing. Using the proposed tabbed routing model, we analyzed tabbed routing with variations of design parameters based on self- and mutual-capacitance and inductance.

With the growing complexity of personal mobile communication systems demanding higher data-rates and high levels of integration using low-cost CMOS technology, overall system performance has become more sensitive to RF analog front-end impairments. Designing integrated transceivers requires a thorough understanding of the whole transceiver chain including RF analog front-end and digital baseband. Communication system engineers have to include RF analog imperfections in their simulation benches in order to study and quantify their impact on the system performance. Here the author explores key RF analog impairments in a transceiver and demonstrates how to model their impact from a communication system design view-point. He discusses the design aspects of the front end of transceivers (both receivers and transmitters) and provides the reader with a way to optimize a complex mixed-signal platform by taking into account the characteristics of the RF/analog front-end. Key features of this book include: * Practical examples illustrated by system simulation results based on WiFi and mobile WiMAX OFDM transceivers * An overview of the digital estimation and compensation of the RF analog impairments such as power amplifier distortion, quadrature imbalance, and carrier and sampling frequency offsets * An exposition of the challenges involved in the design of both RF analog circuits and DSP communication circuits in deep submicron CMOS technology * MATLAB® codes for RF analog impairments models  hosted on the companion website Uniquely the book bridges the gap between RFIC design specification needs and communication systems simulation, offering readers RF analog impairments modeling knowledge and a comprehensive approach to unifying theory and practice in system modelling. It is of great value to communication systems and DSP engineers and graduate students who design communication processing engines, RF/analog systems and IC design engineers involved in the design of communication platforms.