A Bang-Bang All-Digital PLL for Frequency Synthesis

abstract: Phase locked loops are an integral part of any electronic system that requires a clock signal and find use in a broad range of applications such as clock and data recovery circuits for high speed serial I/O and frequency synthesizers for RF transceivers and ADCs. Traditionally, PLLs have been primarily analog in nature and since the development of the charge pump PLL, they have almost exclusively been analog. Recently, however, much research has been focused on ADPLLs because of their scalability, flexibility and higher noise immunity. This research investigates some of the latest all-digital PLL architectures and discusses the qualities and tradeoffs of each. A highly flexible and scalable all-digital PLL based frequency synthesizer is implemented in 180 nm CMOS process. This implementation makes use of a binary phase detector, also commonly called a bang-bang phase detector, which has potential of use in high-speed, sub-micron processes due to the simplicity of the phase detector which can be implemented with a simple D flip flop. Due to the nonlinearity introduced by the phase detector, there are certain performance limitations. This architecture incorporates a separate frequency control loop which can alleviate some of these limitations, such as lock range and acquisition time.Dissertation/ThesisM.S. Electrical Engineering 201

LOW-JITTER AND LOW-SPUR RING-OSCILLATOR-BASED PHASE-LOCKED LOOPS

Department of Electrical EngineeringIn recent years, ring-oscillator based clock generators have drawn a lot of attention due to the merits of high area efficiency, potentially wide tuning range, and multi-phase generation. However, the key challenge is how to suppress the poor jitter of ring oscillators. There have been many efforts to develop a ring-oscillator-based clock generator targeting very low-jitter performance. However, it remains difficult for conventional architectures to achieve both low RMS jitter and low levels of reference spurs concurrently while having a high multiplication factor. In this dissertation, a time-domain analysis is presented that provides an intuitive understanding of RMS jitter calculation of the clock generators from their phase-error correction mechanisms. Based on this analysis, we propose new designs of a ring-oscillator-based PLL that addresses the challenges of prior-art ring-based architectures. This dissertation introduces a ring-oscillator-based PLL with the proposed fast phase-error correction (FPEC) technique, which emulates the phase-realignment mechanism of an injection-locked clock multiplier (ILCM). With the FPEC technique, the phase error of the voltage-controlled oscillator (VCO) is quickly removed, achieving ultra-low jitter. In addition, in the transfer function of the proposed architecture, an intrinsic integrator is involved since it is naturally based on a PLL topology. The proposed PLL can thus have low levels of reference spurs while maintaining high stability even for a large multiplication factor. Furthermore, it presents another design of a digital PLL embodying the FPEC technique (or FPEC DPLL). To overcome the problem of a conventional TDC, a low-power optimally-spaced (OS) TDC capable of effectively minimizing the quantization error is presented. In the proposed FPEC DPLL, background digital controllers continuously calibrate the decision thresholds and the gain of the error correction by the loop to be optimal, thus dramatically reducing the quantization error. Since the proposed architecture is implemented in a digital fashion, the variables defining the characteristics of the loop can be easily estimated and calibrated by digital calibrators. As a result, the performances of an ultra-low jitter and the figure-of-merit can be achieved.clos

時間信号測定回路の研究

修士論

Analysis and Design of Energy Efficient Frequency Synthesizers for Wireless Integrated Systems

Advances in ultra-low power (ULP) circuit technologies are expanding the IoT applications in our daily life. However, wireless connectivity, small form factor and long lifetime are still the key constraints for many envisioned wearable, implantable and maintenance-free monitoring systems to be practically deployed at a large scale. The frequency synthesizer is one of the most power hungry and complicated blocks that not only constraints RF performance but also offers subtle scalability with power as well. Furthermore, the only indispensable off-chip component, the crystal oscillator, is also associated with the frequency synthesizer as a reference. This thesis addresses the above issues by analyzing how phase noise of the LO affect the frequency modulated wireless system in different aspects and how different noise sources in the PLL affect the performance. Several chip prototypes have been demonstrated including: 1) An ULP FSK transmitter with SAR assisted FLL; 2) A ring oscillator based all-digital BLE transmitter utilizing a quarter RF frequency LO and 4X frequency multiplier; and 3) An XO-less BLE transmitter with an RF reference recovery receiver. The first 2 designs deal with noise sources in the PLL loop for ultimate power and cost reduction, while the third design deals with the reference noise outside the PLL and explores a way to replace the XO in ULP wireless edge nodes. And at last, a comprehensive PN theory is proposed as the design guideline.PHDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/153420/1/chenxing_1.pd

On time, time synchronization and noise in time measurement systems

Time plays an important role in our modern lives. Especially having accurate time, which in turn depends on having clocks being synchronized to each other. This thesis is split into three distinct parts. The first part deals with the mathematical description of noise that is required to model clocks and electronics accurately. In particular we will address the problem that the generally used tools from signal theory fail for noise signals which are neither of finite energy nor periodic in nature. For this we will introduce a new function space based on the Pp-seminorm that is an extension of the Lp-norm for functions of potentially infinite energy but limited power. Using this new semi-norm we will modify the Fourier transform to work on signals from this P p-space. And last but not least, we will introduce, based on the above, a new mathematical model of noise that captures all the properties associated with 1/f -noise. In the second part, we will look at how noise propagates in a few classes of electronics, especially how the non-linear behavior of electronics leads to an amplification of noise and how it could be miti-gated. Lastly, in the third part we will look at one approach of fault-tolerant clock synchronization. After explaining its working principle and showing an implementation in an FPGA we will focus on meta-stability, the problems it can cause and how to handle them on two different circuit levels.Zeit spielt eine wichtige Rolle in unserem Leben. Insbesondere die Verfügbarkeit einer genauen Zeit. Welches wiederum davon abhängt, dass man Uhren hat die auf einander synchronisiert laufen. Diese Arbeit ist in drei Teile aufgeteilt: Im ersten Teil betrachten wir die mathematische Beschreibung von Rauschen um elektronische Systeme und Uhren korrekt beschreiben zu können. Im Besonderen betrachten wir die Probleme die die generell benutzten Methoden der Signalverarbeitung beim Umgang mit Rauschsignalen haben, die weder energiebegrenzt noch periodisch sind. Dafür erweitern wir den Funktionenraum der Lp-Norm auf leistungslimiterte Funktionene und führen die Pp-Halbnorm ein und modifizieren die Fouriertransformation zur Verwendung auf diesen Raum. Und letztlich führen wir ein neues mathematisches Model zur Beschreibung von Rauschen ein, welches alle üblicherweise angenommenen Eigenschaften gleichzeitig erfüllt. Im zweiten Teil analysieren wir wie sich einige Klassen von elektronischen Schaltungem im Bezug auf Rauschen verhalten. Insbesondere im Bezug auf das nicht-lineare Verhalten der elektronischen Elemente, welches zu einer Verstärkung des Rauschens führt. Im dritten Teil betrachten wir eine Möglichkeit um fehlertolerante Synchronization von Uhren zu erreichen. Nach einem Überblick über den verwendeten Algorithmus und wie dieser einem FPGA implementiert werden kann, schauen wir uns den Einfluss von Metastabilität an und wie dieser eingedämmt werden kann

MANAGING AND LEVERAGING VARIATIONS AND NOISE IN NANOMETER CMOS

Advanced CMOS technologies have enabled high density designs at the cost of complex fabrication process. Variation in oxide thickness and Random Dopant Fluctuation (RDF) lead to variation in transistor threshold voltage Vth. Current photo-lithography process used for printing decreasing critical dimensions result in variation in transistor channel length and width. A related challenge in nanometer CMOS is that of on-chip random noise. With decreasing threshold voltage and operating voltage; and increasing operating temperature, CMOS devices are more sensitive to random on-chip noise in advanced technologies. In this thesis, we explore novel circuit techniques to manage the impact of process variation in nanometer CMOS technologies. We also analyze the impact of on-chip noise on CMOS circuits and propose techniques to leverage or manage impact of noise based on the application. True Random Number Generator (TRNG) is an interesting cryptographic primitive that leverages on-chip noise to generate random bits; however, it is highly sensitive to process variation. We explore novel metastability circuits to alleviate the impact of variations and at the same time leverage on-chip noise sources like Random Thermal Noise and Random Telegraph Noise (RTN) to generate high quality random bits. We develop stochastic models for metastability based TRNG circuits to analyze the impact of variation and noise. The stochastic models are used to analyze and compare low power, energy efficient and lightweight post-processing techniques targeted to low power applications like System on Chip (SoC) and RFID. We also propose variation aware circuit calibration techniques to increase reliability. We extended this technique to a more generic application of designing Post-Si Tunable (PST) clock buffers to increase parametric yield in the presence of process variation. Apart from one time variation due to fabrication process, transistors undergo constant change in threshold voltage due to aging/wear-out effects and RTN. Process variation affects conventional sensors and introduces inaccuracies during measurement. We present a lightweight wear-out sensor that is tolerant to process variation and provides a fine grained wear-out sensing. A similar circuit is designed to sense fluctuation in transistor threshold voltage due to RTN. Although thermal noise and RTN are leveraged in applications like TRNG, they affect the stability of sensitive circuits like Static Random Access Memory (SRAM). We analyze the impact of on-chip noise on Bit Error Rate (BER) and post-Si test coverage of SRAM cells