Characterisation of crosstalk defects in submicron CMOS VLSI interconnects

The main problem addressed in this research work is a crosstalk defect, which is defined as an unexpected signal change due to the coupling between signals or power lines. Here its characteristic under 3 proposed models is investigated to find whether such a noise could lead to real logic faults in IC systems. As a result, mathematical analysis for various bus systems was established, with 3 main factors found to determine the amount of crosstalk: i) how the input buffers are sized; ii) the physical arrangements of the tracks; and iii) the number of switching tracks involved. Minimum sizes of the width and separation lead to the highest crosstalk while increasing in the length does not contribute much variation. Higher level of crosstalk is also found in higher metal layers due mainly to the reduced capacitance to the substrate. The crosstalk is at its maximum when the track concerned is the middle track of a bus connected to a weak buffer while the other signal lines are switching. From this information, the worse-case analysis for various bus configurations is proposed for 0.7, 0.5 and 0.35 µ CMOS technologies. For most of conventional logic circuits, a crosstalk as large as about a half of the supply voltage is required if a fault is to occur. For the buffer circuits the level of crosstalk required depends very much on the transition voltage, which is in turn controlled by the sizing of its n and p MOS transistors forming the buffer. It is concluded that in general case if crosstalk can be kept to be no larger that 30% of the supply voltage the circuit can be said to be very reliable and virtually free from crosstalk fault. Finally test structures are suggested so that real measurements can be made to verify the simulation result

Cmos Rotary Traveling Wave Oscillators (Rtwos)

Rotary Traveling Wave Oscillator (RTWO) represents a transmission line based technology for multi-gigahertz multiple phase clock generation. RTWO is known for providing low jitter and low phase noise signals but the issue of high power consumption is a major drawback in its application. Direction of wave propagation is random and is determined by the least resistance path in the absence of an external direction control circuit. The objective of this research is to address some of the problems of RTWO design, including high power consumption, uncertainty of propagation direction and optimization of design variables. Included is the modeling of RTWO for sensitivity, phase noise and power analysis. Research objectives were met through design, simulation and implementation. Different designs of RTWO in terms of ring size and number of amplifier stages were implemented and tested. Design tools employed include Agilent ADS, Cadence EDA, SONNET and Altium PCB Designer. Test chip was fabricated using IBM 0.18 μm RF CMOS technology. Performance measures of interest are tuning range, phase noise and power consumption. Agilent ADS and SONNET were used for electromagnetic modeling of transmission lines and electromagnetic field radiation. For each design, electromagnetic simulations were carried out followed by oscillation synthesis based on circuit simulation in Cadence Spectre. RTWO frequencies between 2 GHz and 12 GHz were measured based on the ring size of transmission lines. Simulated microstrip transmission line segments had a quality factor between 5.5 and 18. For the various designs, power consumption ranged from 20 mW to 120 mW. Measured phase noise ranged between -123 dBc/Hz and -87 dBc/Hz at 1 MHz offset. Development also included the design of a wide band buffer and a printed circuit board with high signal integrity for accurate measurement of oscillation frequency and other performance measures. Simulated performance, schematics and measurement results are presented

Modelling and analysis of crosstalk in scaled CMOS interconnects

The development of a general coupled RLC interconnect model for simulating scaled bus structures m VLSI is presented. Several different methods for extracting submicron resistance, inductance and capacitance parameters are documented. Realistic scaling dimensions for deep submicron design rules are derived and used within the model. Deep submicron HSPICE device models are derived through the use of constant-voltage scaling theory on existing 0.75µm and 1.0µm models to create accurate interconnect bus drivers. This complete model is then used to analyse crosstalk noise and delay effects on multiple scaling levels to determine the dependence of crosstalk on scaling level. Using this data, layout techniques and processing methods are suggested to reduce crosstalk in system

Silicon-Based Terahertz Circuits and Systems

The Terahertz frequency range, often referred to as the `Terahertz' gap, lies wedged between microwave at the lower end and infrared at the higher end of the spectrum, occupying frequencies between 0.3-3.0 THz. For a long time, applications in THz frequencies had been limited to astronomy and chemical sciences, but with advancement in THz technology in recent years, it has shown great promise in a wide range of applications ranging from disease diagnostics, non-invasive early skin cancer detection, label-free DNA sequencing to security screening for concealed weapons and contraband detection, global environmental monitoring, nondestructive quality control and ultra-fast wireless communication. Up until recently, the terahertz frequency range has been mostly addressed by high mobility compound III-V processes, expensive nonlinear optics, or cryogenically cooled quantum cascade lasers. A low cost, room temperature alternative can enable the development of such a wide array of applications, not currently accessible due to cost and size limitations. In this thesis, we will discuss our approach towards development of integrated terahertz technology in silicon-based processes. In the spirit of academic research, we will address frequencies close to 0.3 THz as 'Terahertz'. In this thesis, we address both fronts of integrated THz systems in silicon: THz power generation, radiation and transmitter systems, and THz signal detection and receiver systems. THz power generation in silicon-based integrated circuit technology is challenging due to lower carrier mobility, lower cut-o frequencies compared to compound III-V processes, lower breakdown voltages and lossy passives. Radiation from silicon chip is also challenging due to lossy substrates and high dielectric constant of silicon. In this work, we propose novel ways of combining circuit and electromagnetic techniques in a holistic design approach, which can overcome limitations of conventional block-by-block or partitioned design methodology, in order to generate high-frequency signals above the classical definition of cut-off frequencies (ƒt/ƒmax). We demonstrate this design philosophy in an active electromagnetic structure, which we call Distributed Active Radiator. It is inspired by an Inverse Maxwellian approach, where instead of using classical circuit and electromagnetic blocks to generate and radiate THz frequencies, we formulate surface (metal) currents in silicon chip for a desired THz field prole and develop active means of controlling different harmonic currents to perform signal generation, frequency multiplication, radiation and lossless filtering, simultaneously in a compact footprint. By removing the articial boundaries between circuits, electromagnetics and antenna, we open ourselves to a broader design space. This enabled us to demonstrate the rst 1 mW Eective-isotropic-radiated-power(EIRP) THz (0.29 THz) source in CMOS with total radiated power being three orders of magnitude more than previously demonstrated. We also proposed a near-field synchronization mechanism, which is a scalable method of realizing large arrays of synchronized autonomous radiating sources in silicon. We also demonstrate the first THz CMOS array with digitally controlled beam-scanning in 2D space with radiated output EIRP of nearly 10 mW at 0.28 THz. On the receiver side, we use a similar electronics and electromagnetics co-design approach to realize a 4x4 pixel integrated silicon Terahertz camera demonstrating to the best of our knowledge, the most sensitive silicon THz detector array without using post-processing, silicon lens or high-resistivity substrate options (NEP &lt; 10 pW &#8730; Hz at 0.26 THz). We put the 16 pixel silicon THz camera together with the CMOS DAR THz power generation arrays and demonstrated, for the first time, an all silicon THz imaging system with a CMOS source.</p

Modeling and Analysis of Noise and Interconnects for On-Chip Communication Link Design

This thesis considers modeling and analysis of noise and interconnects in onchip communication. Besides transistor count and speed, the capabilities of a modern design are often limited by on-chip communication links. These links typically consist of multiple interconnects that run parallel to each other for long distances between functional or memory blocks. Due to the scaling of technology, the interconnects have considerable electrical parasitics that affect their performance, power dissipation and signal integrity. Furthermore, because of electromagnetic coupling, the interconnects in the link need to be considered as an interacting group instead of as isolated signal paths. There is a need for accurate and computationally effective models in the early stages of the chip design process to assess or optimize issues affecting these interconnects. For this purpose, a set of analytical models is developed for on-chip data links in this thesis. First, a model is proposed for modeling crosstalk and intersymbol interference. The model takes into account the effects of inductance, initial states and bit sequences. Intersymbol interference is shown to affect crosstalk voltage and propagation delay depending on bus throughput and the amount of inductance. Next, a model is proposed for the switching current of a coupled bus. The model is combined with an existing model to evaluate power supply noise. The model is then applied to reduce both functional crosstalk and power supply noise caused by a bus as a trade-off with time. The proposed reduction method is shown to be effective in reducing long-range crosstalk noise. The effects of process variation on encoded signaling are then modeled. In encoded signaling, the input signals to a bus are encoded using additional signaling circuitry. The proposed model includes variation in both the signaling circuitry and in the wires to calculate the total delay variation of a bus. The model is applied to study level-encoded dual-rail and 1-of-4 signaling. In addition to regular voltage-mode and encoded voltage-mode signaling, current-mode signaling is a promising technique for global communication. A model for energy dissipation in RLC current-mode signaling is proposed in the thesis. The energy is derived separately for the driver, wire and receiver termination.Siirretty Doriast

High-speed equalization and transmission in electrical interconnections

The relentless growth of data traffic and increasing digital signal processing capabilities of integrated circuits (IC) are demanding ever faster chip-to-chip / chip-to-module serial electrical interconnects. As data rates increase, the signal quality after transmission over printed circuit board (PCB) interconnections is severely impaired. Frequency-dependent loss and crosstalk noise lead to a reduced eye opening, a reduced signal-to-noise ratio and an increased inter-symbol interference (ISI). This, in turn, requires the use of improved signal processing or PCB materials, in order to overcome the bandwidth (BW) limitations and to improve signal integrity. By applying an optimal combination of equalizer and receiver electronics together with BW-efficient modulation schemes, the transmission rate over serial electrical interconnections can be pushed further. At the start of this research, most industrial backplane connectors, meeting the IEEE and OIF specifications such as manufactured by e.g. FCI or TE connectivity, had operational capabilities of up to 25 Gb/s. This research was mainly performed under the IWT ShortTrack project. The goal of this research was to increase the transmission speed over electrical backplanes up to 100 Gb/s per channel for next-generation telecom systems and data centers. This requirement greatly surpassed the state-ofthe-art reported in previous publications, considering e.g. 25 Gb/s duobinary and 42.8 Gb/s PAM-4 transmission over a low-loss Megtron 6 electrical backplane using off-line processing. The successful implementation of the integrated transmitter (TX) and receiver (RX) (1) , clearly shows the feasibility of single lane interconnections beyond 80 Gb/s and opens the potential of realizing industrial 100 Gb/s links using a recent IC technology process. Besides the advancement of the state-of-the-art in the field of high-speed transceivers and backplane transmission systems, which led to several academic publications, the output of this work also attracts a lot of attention from the industry, showing the potential to commercialize the developed chipset and technologies used in this research for various applications: not only in high-speed electrical transmission links, but also in high-speed opto-electronic communications such as access, active optical cables and optical backplanes. In this dissertation, the background of this research, an overview of this work and the thesis organization are illustrated in Chapter 1. In Chapter 2, a system level analysis is presented, showing that the channel losses are limiting the transmission speed over backplanes. In order to enhance the serial data rate over backplanes and to eliminate the signal degradation, several technologies are discussed, such as signal equalization and modulation techniques. First, a prototype backplane channel, from project partner FCI, implemented with improved backplane connectors is characterized. Second, an integrated transversal filter as a feed-forward equalizer (FFE) is selected to perform the signal equalization, based on a comprehensive consideration of the backplane channel performance, equalization capabilities, implementation complexity and overall power consumption. NRZ, duobinary and PAM-4 are the three most common modulation schemes for ultra-high speed electrical backplane communication. After a system-level simulation and comparison, the duobinary format is selected due to its high BW efficiency and reasonable circuit complexity. Last, different IC technology processes are compared and the ST microelectronics BiCMOS9MW process (featuring a fT value of over 200 GHz) is selected, based on a trade-off between speed and chip cost. Meanwhile it also has a benefit for providing an integrated microstrip model, which is utilized for the delay elements of the FFE. Chapter 3 illustrates the chip design of the high-speed backplane TX, consisting of a multiplexer (MUX) and a 5-tap FFE. The 4:1 MUX combines four lower rate streams into a high-speed differential NRZ signal up to 100 Gb/s as the FFE input. The 5-tap FFE is implemented with a novel topology for improved testability, such that the FFE performance can be individually characterized, in both frequency- and time-domain, which also helps to perform the coefficient optimization of the FFE. Different configurations for the gain cell in the FFE are compared. The gilbert configuration shows most advantages, in both a good high-frequency performance and an easy way to implement positive / negative amplification. The total chip, including the MUX and the FFE, consumes 750mW from a 2.5V supply and occupies an area of 4.4mm × 1.4 mm. In Chapter 4, the TX chip is demonstrated up to 84 Gb/s. First, the FFE performance is characterized in the frequency domain, showing that the FFE is able to work up to 84 Gb/s using duobinary formats. Second, the combination of the MUX and the FFE is tested. The equalized TX outputs are captured after different channels, for both NRZ and duobinary signaling at speeds from 64 Gb/s to 84 Gb/s. Then, by applying the duobinary RX 2, a serial electrical transmission link is demonstrated across a pair of 10 cm coax cables and across a 5 cm FX-2 differential stripline. The 5-tap FFE compensates a total loss between the TX and the RX chips of about 13.5 dB at the Nyquist frequency, while the RX receives the equalized signal and decodes the duobinary signal to 4 quarter rate NRZ streams. This shows a chip-to-chip data link with a bit error rate (BER) lower than 10−11. Last, the electrical data transmission between the TX and the RX over two commercial backplanes is demonstrated. An error-free, serial duobinary transmission across a commercial Megtron 6, 11.5 inch backplane is demonstrated at 48 Gb/s, which indicates that duobinary outperforms NRZ for attaining higher speed or longer reach backplane applications. Later on, using an ExaMAX® backplane demonstrator, duobinary transmission performance is verified and the maximum allowed channel loss at 40 Gb/s transmission is explored. The eye diagram and BER measurements over a backplane channel up to 26.25 inch are performed. The results show that at 40 Gb/s, a total channel loss up to 37 dB at the Nyquist frequency allows for error-free duobinary transmission, while a total channel loss of 42 dB was overcome with a BER below 10−8. An overview of the conclusions is summarized in Chapter 5, along with some suggestions for further research in this field. (1) The duobinary receiver was developed by my colleague Timothy De Keulenaer, as described in his PhD dissertation. (2) Described in the PhD dissertation of Timothy De Keulenaer

Design Techniques for On-Chip Global Signaling Over Lossy Transmission Lines.

This thesis describes techniques for global high-speed signaling over long (~10mm) lossy chip-serial transmission lines. With the increase in clock frequencies to multi-GHz rates, it has become impossible to move data across a die in a single clock cycle using conventional parallel bus-based communication. There are also reliability problems due to timing errors, skew, and jitter in fully synchronous systems. Noise, coupling, and inductive effects become significant for both intermediate length and global routing. A new on-chip lossy transmission line technique is developed and new driver and receiver circuitry for on-chip serial links are described. High-speed long-range serial signaling is best done over transmission lines. However, because of the relatively high sheet resistance of metal interconnect layers, on-chip transmission lines tend to be lossy. Matched termination with resistors and the proper selection of the characteristic impedance of the transmission line structure can effectively suppress ISI. Fast digital CMOS technology allows pulsed mode data drivers to operate at multi-GHz rates. A phase-tuned receiver samples and de-serializes the received signal. Since the sampling instant is tuned to match the received signal eye, there is no requirement to match the clock and signal routing or clock and signal delays. A complete self-testing on-chip transceiver communicating over a 5.8mm on-chip transmission line is implemented in 0.13um CMOS and tested. The measured BER at 9Gbps is less than 10^-10. Interleaving is usually necessary in high serial data rate serializer and de-serializer circuits. Multi-stage LC oscillators can be used to generate low phase noise multi-phases clocks required for interleaving. Conventional coupling between oscillators introduces out of phase currents, and this out of phase current causes a lower effective quality factor for each oscillator stage. However, capacitive coupling, a new technique, introduces in phase coupling between stages. Increased coupling with a ring of capacitors decreases phase spacing error dramatically and, in addition, the phase noise of multi-stages is also decreased thanks to in-phase coupling.Ph.D.Electrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/58491/1/parkjy_1.pd

Advanced modelling and design considerations for interconnects in ultra- low power digital system

PhD ThesisAs Very Large Scale Integration (VLSI) is progressing in very Deep submicron (DSM) regime without decreasing chip area, the importance of global interconnects increases but at the cost of performance and power consumption for advanced System-on- Chip (SoC)s. However, the growing complexity of interconnects behaviour presents a challenge for their adequate modelling, whereby conventional circuit theoretic approaches cannot provide sufficient accuracy. During the last decades, fractional differential calculus has been successfully applied to modelling certain classes of dynamical systems while keeping complexity of the models under acceptable bounds. For example, fractional calculus can help capturing inherent physical effects in electrical networks in a compact form, without following conventional assumptions about linearization of non-linear interconnect components. This thesis tackles the problem of interconnect modelling in its generality to simulate a wide range of interconnection configurations, its capacity to emulate irregular circuit elements and its simplicity in the form of responsible approximation. This includes modelling and analysing interconnections considering their irregular components to add more flexibility and freedom for design. The aim is to achieve the simplest adaptable model with the highest possible accuracy. Thus, the proposed model can be used for fast computer simulation of interconnection behaviour. In addition, this thesis proposes a low power circuit for driving a global interconnect at voltages close to the noise level. As a result, the proposed circuit demonstrates a promising solution to address the energy and performance issues related to scaling effects on interconnects along with soft errors that can be caused by neutron particles. The major contributions of this thesis are twofold. Firstly, in order to address Ultra-Low Power (ULP) design limitations, a novel driver scheme has been configured. This scheme uses a bootstrap circuitry which boosts the driver’s ability to drive a long interconnect with an important feedback feature in it. Hence, this approach achieves two objectives: improving performance and mitigating power consumption. Those achievements are essential in designing ULP circuits along with occupying a smaller footprint and being immune to noise, observed in this design as well. These have been verified by comparing the proposed design to the previous and traditional circuits using a simulation tool. Additionally, the boosting based approach has been shown beneficial in mitigating the effects of single event upset (SEU)s, which are known to affect DSM circuits working under low voltages. Secondly, the CMOS circuit driving a distributed RLC load has been brought in its analysis into the fractional order domain. This model will make the on-chip interconnect structure easy to adjust by including the effect of fractional orders on the interconnect timing, which has not been considered before. A second-order model for the transfer functions of the proposed general structure is derived, keeping the complexity associated with second-order models for this class of circuits at a minimum. The approach here attaches an important trait of robustness to the circuit design procedure; namely, by simply adjusting the fractional order we can avoid modifying the circuit components. This can also be used to optimise the estimation of the system’s delay for a broad range of frequencies, particularly at the beginning of the design flow, when computational speed is of paramount importance.Iraqi Ministry of Higher Education and Scientific Researc

대역폭 증대 기술을 이용한 전력 효율적 고속 송신 시스템 설계

학위논문(박사) -- 서울대학교대학원 : 공과대학 전기·정보공학부, 2022.2. 정덕균.The high-speed interconnect at the datacenter is being more crucial as 400 Gb Ethernet standards are developed. At the high data rate, channel loss re-quires bandwidth extension techniques for transmitters, even for short-reach channels. On the other hand, as the importance of east-to-west connection is rising, the data center architectures are switching to spine-leaf from traditional ones. In this trend, the number of short-reach optical interconnect is expected to be dominant. The vertical-cavity surface-emitting laser (VCSEL) is a com-monly used optical modulator for short-reach interconnect. However, since VCSEL has low bandwidth and nonlinearity, the optical transmitter also needs bandwidth-increasing techniques. Additionally, the power consumption of data centers reaches a point of concern to affect climate change. Therefore, this the-sis focuses on high-speed, power-efficient transmitters for data center applica-tions. Before the presenting circuit design, bandwidth extension techniques such as fractionally-spaced feed-forward equalizer (FFE), on-chip transmission line, inductive peaking, and T-coil are mathematically analyzed for their effec-tiveness. For the first chip, a power and area-efficient pulse-amplitude modulation 4 (PAM-4) transmitter using 3-tap FFE based on a slow-wave transmission line is presented. A passive delay line is adopted for generating an equalizer tap to overcome the high clocking power consumption. The transmission line achieves a high slow-wave factor of 15 with double floating metal shields around the differential coplanar waveguide. The transmitter includes 4:1 multi-plexers (MUXs) and a quadrature clock generator for high-speed data genera-tion in a quarter-rate system. The 4:1 MUX utilizes a 2-UI pulse generator, and the input configuration is determined by qualitative analysis. The chip is fabri-cated in 65 nm CMOS technology and occupies an area of 0.151 mm2. The proposed transmitter system exhibits an energy efficiency of 3.03 pJ/b at the data rate of 48 Gb/s with PAM-4 signaling. The second chip presents a power-efficient PAM-4 VCSEL transmitter using 3-tap FFE and negative-k T-coil. The phase interpolators (PIs) generate frac-tionally-spaced FFE tap and correct quadrature phase error. The PAM-4 com-bining 8:1 MUX is proposed rather than combining at output driver with double 4:1 MUXs to reduce serializing power consumption. T-coils at the internal and output node increase the bandwidth and remove inter-symbol interference (ISI). The negative-k T-coil at the output network increases the bandwidth 1.61 times than without T-coil. The VCSEL driver is placed on the high VSS domain for anode driving and power reduction. The chip is fabricated in 40 nm CMOS technology. The proposed VCSEL transmitter operates up to 48 Gb/s NRZ and 64 Gb/s PAM-4 with the power efficiency of 3.03 pJ/b and 2.09 pJ/b, respec-tively.400Gb 이더넷 표준이 개발됨에 따라 데이터 센터의 고속 상호 연결이 더욱 중요해지고 있다. 높은 데이터 속도에서의 채널 손실에 의해 단거리 채널의 경우에도 송신기에 대한 대역폭 확장 기술이 필요하다. 한편, 데이터 센터 내 동-서 연결의 중요성이 높아지면서 데이터 센터 아키텍처가 기존의 아키텍처에서 스파인-리프로 전환되고 있다. 이러한 추세에서 단거리 광학 인터커넥트의 수가 점차 우세해질 것으로 예상된다. 수직 캐비티 표면 방출 레이저(VCSEL)는 일반적으로 단거리 상호 연결을 위해 사용되는 광학 모듈레이터이다. VCSEL은 낮은 대역폭과 비선형성을 가지고 있기 때문에, 광 송신기도 대역폭 증가 기술을 필요로 한다. 또한, 데이터 센터의 전력 소비는 기후 변화에 영향을 미칠 수 있는 우려 지점에 도달했다. 따라서, 본 논문은 데이터 센터 응용을 위한 고속 전력 효율적인 송신기에 초점을 맞추고 있다. 회로 설계를 제시하기 전에, 부분 간격 피드-포워드 이퀄라이저 (FFE), 온칩 전송선로, 인덕터, T-코일과 같은 대역폭 확장 기술을 수학적으로 분석한다. 첫 번째 칩은 저속파 전송선로를 기반으로 한 3-탭 FFE를 사용하는 전력 및 면적 효율적인 펄스-진폭-변조 4(PAM-4) 송신기를 제시한다. 높은 클럭 전력 소비를 극복하기 위해 이퀄라이저 탭 생성을 위해 수동소자 지연 라인을 채택했다. 전송 라인은 차동 동일평면도파관 주위에 이중 플로팅 금속 차폐를 사용하여 15의 높은 전달속도 감쇠를 달성한다. 송신기에는 4:1 멀티플렉서(MUX)와 4-위상 클럭 생성기가 포함되어 있다. 4:1 MUX는 2-UI 펄스 발생기를 사용하며, 정성 분석에 의해 입력 구성이 결정된다. 이 칩은 65 nm CMOS 기술로 제작되었으며 0.151 mm2의 면적을 차지한다. 제안된 송신기 시스템은 PAM-4 신호와 함께 48 Gb/s의 데이터 속도에서 3.03 pJ/b의 에너지 효율을 보여준다. 두 번째 칩에서는 3-탭 FFE 및 역회전 T-코일을 사용하는 전력 효율적인 PAM-4 VCSEL 송신기를 제시한다. 위상 보간기(PI)는 부분 간격 FFE 탭을 생성하고 4-위상 클럭 오류를 수정하는 데 사용된다. 직렬화 전력 소비를 줄이기 위해 출력 드라이버에서 MSB와 LSB를 두 개의 4:1 MUX를 통해 결합하는 대신 8:1 MUX를 통해 PAM-4로 결합하는 회로가 제안된다. 내부 및 출력 노드에서 T-코일은 대역폭을 증가시키고 기호 간 간섭(ISI)을 제거한다. 출력 네트워크에서 역회전 T-코일은 T-코일이 없는 경우보다 대역폭을 1.61배 증가시킨다. VCSEL 드라이버는 양극 구동 및 전력 감소를 위해 높은 VSS 도메인에 배치된다. 이 칩은 40 nm CMOS 기술로 제작되었다. 제안된 VCSEL 송신기는 각각 3.03pJ/b와 2.09pJ/b의 전력 효율로 최대 48Gb/s NRZ와 64Gb/s PAM-4까지 작동한다.ABSTRACT I CONTENTS III LIST OF FIGURES V LIST OF TABLES IX CHAPTER 1 INTRODUCTION 1 1.1 MOTIVATION 1 1.2 THESIS ORGANIZATION 5 CHAPTER 2 BACKGROUND OF HIGH-SPEED INTERFACE 6 2.1 OVERVIEW 6 2.2 BASIS OF DATA CENTER ARCHITECTURE 9 2.3 SHORT-REACH INTERFACE STANDARDS 12 2.4 ANALYSES OF BANDWIDTH EXTENSION TECHNIQUES 16 2.4.1 FRACTIONALLY-SPACED FFE 16 2.4.2 TRANSMISSION LINE 21 2.4.3 INDUCTOR 24 2.4.4 T-COIL 33 CHAPTER 3 DESIGN OF 48 GB/S PAM-4 ELECTRICAL TRANSMITTER IN 65 NM CMOS 43 3.1 OVERVIEW 43 3.2 FFE BASED ON DOUBLE-SHIELDED COPLANAR WAVEGUIDE 46 3.2.1 BASIC CONCEPT 46 3.2.2 PROPOSED DOUBLE-SHIELDED COPLANAR WAVEGUIDE 47 3.3 DESIGN CONSIDERATION ON 4:1 MUX 50 3.4 PROPOSED PAM-4 ELECTRICAL TRANSMITTER 53 3.5 MEASUREMENT 57 CHAPTER 4 DESIGN OF 64 GB/S PAM-4 OPTICAL TRANSMITTER IN 40 NM CMOS 64 4.1 OVERVIEW 64 4.2 DESIGN CONSIDERATION OF OPTICAL TRANSMITTER 66 4.3 PROPOSED PAM-4 VCSEL TRANSMITTER 69 4.4 MEASUREMENT 82 CHAPTER 5 CONCLUSIONS 88 BIBLIOGRAPHY 90 초 록 101박