CMOS Signal Synthesizers for Emerging RF-to-Optical Applications

The need for clean and powerful signal generation is ubiquitous, with applications spanning the spectrum from RF to mm-Wave, to into and beyond the terahertz-gap. RF applications including mobile telephony and microprocessors have effectively harnessed mixed-signal integration in CMOS to realize robust on-chip signal sources calibrated against adverse ambient conditions. Combined with low cost and high yield, the CMOS component of hand-held devices costs a few cents per part per million parts. This low cost, and integrated digital processing, make CMOS an attractive option for applications like high-resolution imaging and ranging, and the emerging 5-G communication space. RADAR techniques when expanded to optical frequencies can enable micrometers of resolution for 3D imaging. These applications, however, impose upto 100x more exacting specifications on power and spectral purity at much higher frequencies than conventional RF synthesizers. This generation of applications will present unconventional challenges for transistor technologies - whether it is to squeeze performance in the conventionally used spectrum, already wrung dry, or signal generation and system design in the relatively emptier mm-Wave to sub-mmWave spectrum, much of the latter falling in the ``Terahertz Gap". Indeed, transistor scaling and innovative device physics leading to new transistor topologies have yielded higher cut-off frequencies in CMOS, though still lagging well behind SiGe and III-V semiconductors. To avoid multimodule solutions with functionality partitioned across different technologies, CMOS must be pushed out of its comfort zone, and technology scaling has to have accompanying breakthroughs in design approaches not only at the system but also at the block level. In this thesis, while not targeting a specific application, we seek to formulate the obstacles in synthesizing high frequency, high power and low noise signals in CMOS and construct a coherent design methodology to address them. Based on this, three novel prototypes to overcome the limiting factors in each case are presented. The first half of this thesis deals with high frequency signal synthesis and power generation in CMOS. Outside the range of frequencies where the transistor has gain, frequency generation necessitates harmonic extraction either as harmonic oscillators or as frequency multipliers. We augment the traditional maximum oscillation frequency metric (fmax), which only accounts for transistor losses, with passive component loss to derive an effective fmax metric. We then present a methodology for building oscillators at this fmax, the Maximum Gain Ring Oscillator. Next, we explore generating large signals beyond fmax through harmonic extraction in multipliers. Applying concepts of waveform shaping, we demonstrate a Power Mixer that engineers transistor nonlinearity by manipulating the amplitudes and relative phase shifts of different device nodes to maximize performance at a specific harmonic beyond device cut-off. The second half proposes a new architecture for an ultra-low noise phase-locked loop (PLL), the Reference-Sampling PLL. In conventional PLLs, a noisy buffer converts the slow, low-noise sine-wave reference signal to a jittery square-wave clock against which the phase of a noisy voltage-controlled oscillator (VCO) is corrected. We eliminate this reference buffer, and measure phase error by sampling the reference sine-wave with the 50x faster VCO waveform already available on chip, and selecting the relevant sample with voltage proportional to phase error. By avoiding the N-squared multiplication of the high-power reference buffer noise, and directly using voltage-mode phase error to control the VCO, we eliminate several noisy components in the controlling loop for ultra-low integrated jitter for a given power consumption. Further, isolation of the VCO tank from any varying load, unlike other contemporary divider-less PLL architectures, results in an architecture with record performance in the low-noise and low-spur space. We conclude with work that brings together concepts developed for clean, high-power signal generation towards a hybrid CMOS-Optical approach to Frequency-Modulated Continuous-Wave (FMCW) Light-Detection-And-Ranging (LIDAR). Cost-effective tunable lasers are temperature-sensitive and have nonlinear tuning profiles, rendering precise frequency modulations or 'chirps' untenable. Locking them to an electronic reference through an electro-optic PLL, and electronically calibrating the control signal for nonlinearity and ambient sensitivity, can make such chirps possible. Approaches that build on the body of advances in electrical PLLs to control the performance, and ease the specification on the design of optical systems are proposed. Eventually, we seek to leverage the twin advantages of silicon-intensive integration and low-cost high-yield towards developing a single-chip solution that uses on-chip signal processing and phased arrays to generate precise and robust chirps for an electronically-steerable fine LIDAR beam

최적 위상 검출 회로를 이용한 클럭 및 데이터 복원 회로에 관한 연구

학위논문 (박사)-- 서울대학교 대학원 : 전기·컴퓨터공학부, 2014. 8. 김재하.Bang-bang phase detectors are widely used for today's high-speed communication circuits such as phase-locked loops (PLLs), delay-locked loops (DLLs) and clock-and-data recovery loops (CDRs) because it is simple, fast, accurate and amenable to digital implementations. However, its hard nonlinearity poses difficulties in design and analyses of the bang-bang controlled timing loops. Especially, dithering in bang-bang controlled CDRs sets conflicting requirements on the phase adjustment resolution as one tries to maximize the tracking bandwidth and minimize jitter. A fine phase step is helpful to minimize the dithering, but it requires circuits with finer resolution that consumes large power and area. In this background, this dissertation introduces an optimal phase detection technique that can minimize the effect of dithering without requiring fine phase resolution. A novel phase interval detector that looks for a phase interval enclosing the desired lock point is shown to find the optimal phase that minimizes the timing error without dithering. A digitally-controlled, phase-interpolating DLL-based CDR fabricated in 65nm CMOS demonstrates that it can achieve small area of 0.026mm^2 and low jitter of 41mUIp-p with a coarse phase adjustment step of 0.11UI, while dissipating only 8.4mW at 5Gbps. For the theoretic basis, various analysis techniques to understand bang-bang controlled timing loops are also presented. The proposed techniques are explained for both linearized loop and non-linear one, and applied to the evaluation of the proposed phase detection technique.1 Introduction 1 1.1 Motivations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Thesis Contribution and Organization . . . . . . . . . . . . . . . . . 6 2 Pseudo-Linear Analysis of Bang-Bang Controlled Loops 9 2.1 Model of a Second-Order, Bang-Bang Controlled Timing Loop . . . 9 2.2 Necessary Condition for the Pseudo-Linear Analysis . . . . . . . . . 12 2.3 Derivation of Necessity Condition for the Pseudo-Linear Analysis . . 17 2.4 A Linearized Model of the Bang-Bang Phase Detector . . . . . . . . 18 2.5 Linearized Gain of a Bang-Bang Phase Detector for Jitter Transfer and Jitter Generation Analyses . . . . . . . . . . . . . . . . . . . . . 21 2.6 Jitter Transfer and Jitter Generation Analyses . . . . . . . . . . . . 29 2.7 Linearized Gains of a Bang-bang Phase Detector for Jitter Tolerance Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2.8 Jitter Tolerance Analysis . . . . . . . . . . . . . . . . . . . . . . . . . 41 3 Nonlinear Analysis of Bang-Bang Controlled Loops 48 3.1 Transient Analysis of Bang-Bang Controlled Timing Loops . . . . . 48 3.2 Phase-portrait Analysis of Bang-Bang Controlled Timing Loops . . . 51 3.3 Markov-chain Analysis of Bang-Bang Controlled Timing Loops . . . 53 3.4 Analysis of Clock-and-Data Recovery Circuits . . . . . . . . . . . . . 57 3.4.1 Prediction of Bit-Error Rate . . . . . . . . . . . . . . . . . . 57 3.4.2 Eect of Transition Density . . . . . . . . . . . . . . . . . . . 58 3.4.3 Eect of Decimation . . . . . . . . . . . . . . . . . . . . . . . 61 3.4.4 Analysis of Oversampling Phase Detectors . . . . . . . . . . . 66 4 Design of Ditherless Clock and Data Recovery Circuit 75 4.1 Optimal Phase Detection . . . . . . . . . . . . . . . . . . . . . . . . 75 4.2 Proposed Architecture . . . . . . . . . . . . . . . . . . . . . . . . . . 81 4.3 Analysis of the CDR with Phase Interval Detection . . . . . . . . . . 84 4.4 Circuit Implementation . . . . . . . . . . . . . . . . . . . . . . . . . 89 4.4.1 Sampling Receiver . . . . . . . . . . . . . . . . . . . . . . . . 89 4.4.2 Phase Detector . . . . . . . . . . . . . . . . . . . . . . . . . . 91 4.4.3 Digital Loop Filter . . . . . . . . . . . . . . . . . . . . . . . . 95 4.4.4 Phase Locked-Loop . . . . . . . . . . . . . . . . . . . . . . . . 98 4.4.5 Phase Interpolator . . . . . . . . . . . . . . . . . . . . . . . . 99 4.5 Built-In Self-Test Circuit for Jitter Tolerance Measurement . . . . . 102 4.6 Measurement Results . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 5 Conclusion 114 References 116Docto

Design of energy-efficient high-speed wireline transceiver

Energy efficiency has become the most important performance metric of integrated circuits used in many applications ranging from mobile devices to high-performance processors. The power problem permeates both computing and communication systems alike. Especially in the era of Big Data, continuously growing demand for higher communication bandwidth is driving the need for energy-efficient high-speed I/O serial links. However, the rate at which the energy efficiency of serial links is improving is much slower than the rate at which the required data transfer bandwidth is increasing. This dissertation explores two design approaches for energy-efficient communication systems. The first design approach maximizes the energy efficiency of a transceiver without any performance loss, and as a prototype, a source-synchronous multi-Gb/s transceiver that achieves excellent energy efficiency lower than 0.3pJ/bit is presented. To this end, the proposed transceiver employs aggressive supply voltage scaling, and multiplexed transmitter and receiver synchronized by low-rate multi-phase clocks are adopted to achieve high data rate even at a supply voltage close to the device threshold voltage. Phase spacing errors resulting from device mismatches are corrected using a self-calibration scheme. The proposed phase calibration method uses a single digital delay-locked loop (DLL) for calibrating all the phases, which makes the calibration process insensitive to the supply voltage level. Thanks to this technique, the proposed multi-Gb/s transceiver operates robustly and energy-efficiently at a very low supply voltage. Fabricated in a 65nm CMOS process, the energy efficiency and data rate of the prototype transceiver vary from 0.29pJ/bit to 0.58pJ/bit and 1Gb/s to 6Gb/s, respectively, as the supply voltage is varied from 0.45V to 0.7V. In the second approach, observing that the data traffic in a real system is bursty, a full-rate burst-mode transceiver that achieves rapid on/off operation needed for energy-proportional systems is presented. By injecting input data edges into the oscillator embedded in a classical type-II digital clock and data recovery (CDR) circuit, the proposed receiver achieves instantaneous phase-locking and input jitter filtering simultaneously. In other words, the proposed CDR combines the advantages of conventional feed-forward and feedback architectures to achieve energy-proportional operation. By controlling the number of data edges injected into the oscillator, both the jitter transfer bandwidth and the jitter tolerance corner are accurately controlled. The feedback loop also corrects for any frequency error and helps improve the CDR's immunity to oscillator frequency drift during the power-on and -off states. This also improves the CDR's tolerance to consecutive identical digits present in the input data. Fabricated in a 90nm CMOS process, the prototype receiver instantaneously locks onto the very first data edge and consumes 6.1mW at 2.2Gb/s. Owing to its short power-on time, the overall transceiver's energy efficiency varies only from 5.4pJ/bit to 10.7pJ/bit when the effective data rate is varied from 2.2Gb/s to 0.22Gb/s

A built-in self-test technique for high speed analog-to-digital converters

Fundação para a Ciência e a Tecnologia (FCT) - PhD grant (SFRH/BD/62568/2009

Design of Digital FMCW Chirp Synthesizer PLLs Using Continuous-Time Delta-Sigma Time-to-Digital Converters

Radar applications for driver assistance systems and autonomous vehicles have spurred the development of frequency-modulated continuous-wave (FMCW) radar. Continuous signal transmission and high operation frequencies in the K- and W-bands enable radar systems with low power consumption and small form factors. The radar performance depends on high-quality signal sources for chirp generation to ensure accurate and reliable target detection, requiring chirp synthesizers that offer fast frequency settling and low phase noise. Fractional-N phase locked loops (PLLs) are an effective tool for synthesis of FMCW waveform profiles, and advances in CMOS technology have enabled high-performance single-chip CMOS synthesizers for FMCW radar. Design approaches for FMCW chirp synthesizer PLLs need to address the conflicting requirements of fast settling and low close-in phase noise. While integrated PLLs can be implemented as analog or digital PLLs, analog PLLs still dominate for high frequencies. Digital PLLs offer greater programmability and area efficiency than their analog counterparts, but rely on high-resolution time-to-digital converters (TDCs) for low close-in phase noise. Performance limitations of conventional TDCs remain a roadblock for achieving low phase noise with high-frequency digital PLLs. This shortcoming of digital PLLs becomes even more pronounced with wide loop bandwidths as required for FMCW radar. To address this problem, this work presents digital FMCW chirp synthesizer PLLs using continuous-time delta-sigma TDCs. After a discussion of the requirements for PLL-based FMCW chirp synthesizers, this dissertation focuses on digital fractional-N PLL designs based on noise-shaping TDCs that leverage state-of-the-art delta-sigma modulator techniques to achieve low close-in phase noise in wide-bandwidth digital PLLs. First, an analysis of the PLL bandwidth and chirp linearity studies the design requirements for chirp synthesizer PLLs. Based on a model of a complete radar system, the analysis examines the impact of the PLL bandwidth on the radar performance. The modeling approach allows for a straightforward study of the radar accuracy and reliability as functions of the chirp parameters and the PLL configuration. Next, an 18-to-22GHz chirp synthesizer PLL that produces a 25-segment chirp for a 240GHz FMCW radar application is described. This synthesizer design adapts an existing third-order noise-shaping TDC design. A 65nm CMOS prototype achieves a measured close-in phase noise of -88dBc/Hz at 100kHz offset for wide PLL bandwidths and consumes 39.6mW. The prototype drives a radar testbed to demonstrate the effectiveness of the synthesizer design in a complete radar system. Finally, a second-order noise-shaping TDC based on a fourth-order bandpass delta-sigma modulator is introduced. This bandpass delta-sigma TDC leverages the high resolution of a bandpass delta-sigma modulator by sampling a sinusoidal PLL reference and applies digital down-conversion to achieve low TDC noise in the frequency band of interest. Based on the bandpass delta-sigma TDC, a 38GHz digital FMCW chirp synthesizer PLL is designed. The feedback divider applies phase interpolation with a phase rotation scheme to ensure the effectiveness of the low TDC noise. A prototype PLL, fabricated in 40nm CMOS, achieves a measured close-in phase noise of -85dBc/Hz at 100kHz offset for wide loop bandwidths >1MHz and consumes 68mW. It effectively generates fast (500MHz/55us) and precise (824kHz rms frequency error) triangular chirps for FMCW radar. The bandpass delta-sigma TDC achieves a measured integrated rms noise of 325fs in a 1MHz bandwidth.PHDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/147732/1/dweyer_1.pdfDescription of dweyer_1.pdf : Restricted to UM users only

Treatise on Hearing: The Temporal Auditory Imaging Theory Inspired by Optics and Communication

A new theory of mammalian hearing is presented, which accounts for the auditory image in the midbrain (inferior colliculus) of objects in the acoustical environment of the listener. It is shown that the ear is a temporal imaging system that comprises three transformations of the envelope functions: cochlear group-delay dispersion, cochlear time lensing, and neural group-delay dispersion. These elements are analogous to the optical transformations in vision of diffraction between the object and the eye, spatial lensing by the lens, and second diffraction between the lens and the retina. Unlike the eye, it is established that the human auditory system is naturally defocused, so that coherent stimuli do not react to the defocus, whereas completely incoherent stimuli are impacted by it and may be blurred by design. It is argued that the auditory system can use this differential focusing to enhance or degrade the images of real-world acoustical objects that are partially coherent. The theory is founded on coherence and temporal imaging theories that were adopted from optics. In addition to the imaging transformations, the corresponding inverse-domain modulation transfer functions are derived and interpreted with consideration to the nonuniform neural sampling operation of the auditory nerve. These ideas are used to rigorously initiate the concepts of sharpness and blur in auditory imaging, auditory aberrations, and auditory depth of field. In parallel, ideas from communication theory are used to show that the organ of Corti functions as a multichannel phase-locked loop (PLL) that constitutes the point of entry for auditory phase locking and hence conserves the signal coherence. It provides an anchor for a dual coherent and noncoherent auditory detection in the auditory brain that culminates in auditory accommodation. Implications on hearing impairments are discussed as well.Comment: 603 pages, 131 figures, 13 tables, 1570 reference

Architecture, Modeling, and Analysis of a Plasma Impedance Probe

Variations in ionospheric plasma density can cause large amplitude and phase changes in the radio waves passing through this region. Ionospheric weather can have detrimental effects on several communication systems, including radars, navigation systems such as the Global Positioning Sytem (GPS), and high-frequency communications. As a result, creating models of the ionospheric density is of paramount interest to scientists working in the field of satellite communication. Numerous empirical and theoretical models have been developed to study the upper atmosphere climatology and weather. Multiple measurements of plasma density over a region are of marked importance while creating these models. The lack of spatially distributed observations in the upper atmosphere is currently a major limitation in space weather research. A constellation of CubeSat platforms would be ideal to take such distributed measurements. The use of miniaturized instruments that can be accommodated on small satellites, such as CubeSats, would be key to acheiving these science goals for space weather. The accepted instrumentation techniques for measuring the electron density are the Langmuir probes and the Plasma Impedance Probe (PIP). While Langmuir probes are able to provide higher resolution measurements of relative electron density, the Plasma Impedance Probes provide absolute electron density measurements irrespective of spacecraft charging. The central goal of this dissertation is to develop an integrated architecture for the PIP that will enable space weather research from CubeSat platforms. The proposed PIP chip integrates all of the major analog and mixed-signal components needed to perform swept-frequency impedance measurements. The design\u27s primary innovation is the integration of matched Analog-to-Digital Converters (ADC) on a single chip for sampling the probes current and voltage signals. A Fast Fourier Transform (FFT) is performed by an off-chip Field-Programmable Gate Array (FPGA) to compute the probes impedance. This provides a robust solution for determining the plasma impedance accurately. The major analog errors and parametric variations affecting the PIP instrument and its effect on the accuracy and precision of the impedance measurement are also studied. The system clock is optimized in order to have a high performance ADC. In this research, an alternative clock generation scheme using C-elements is described to reduce the timing jitter and reference spurs in phase locked loops. While the jitter performance and reference spur reduction is comparable with prior state-of-the-art work, the proposed Phase Locked Loop (PLL) consumes less power with smaller area than previous designs

Towards Very Large Scale Analog (VLSA): Synthesizable Frequency Generation Circuits.

Driven by advancement in integrated circuit design and fabrication technologies, electronic systems have become ubiquitous. This has been enabled powerful digital design tools that continue to shrink the design cost, time-to-market, and the size of digital circuits. Similarly, the manufacturing cost has been constantly declining for the last four decades due to CMOS scaling. However, analog systems have struggled to keep up with the unprecedented scaling of digital circuits. Even today, the majority of the analog circuit blocks are custom designed, do not scale well, and require long design cycles. This thesis analyzes the factors responsible for the slow scaling of analog blocks, and presents a new design methodology that bridges the gap between traditional custom analog design and the modern digital design. The proposed methodology is utilized in implementation of the frequency generation circuits – traditionally considered analog systems. Prototypes covering two different applications were implemented. The first synthesized all-digital phase-locked loop was designed for 400-460 MHz MedRadio applications and was fabricated in a 65 nm CMOS process. The second prototype is an ultra-low power, near-threshold 187-500 kHz clock generator for energy harvesting/autonomous applications. Finally, a digitally-controlled oscillator frequency resolution enhancement technique is presented which allows reduction of quantization noise in ADPLLs without introducing spurs.PhDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/109027/1/mufaisal_1.pd