Analyzing the effect of clock jitter on self-oscillating sigma delta modulators

This paper presents simple but accurate expressions for the noise components caused by clock jitter, in the output signal of self-oscillating sigma delta modulators (SOSDM). Contrary to conventional continuous time sigma delta modulators (CTSDM), the SOSDM's loop contains a strong oscillation, whose attribution to the system's jitter caused noise has not previously been explored. In this paper, the SOSDM system is modeled, and the effect of the self oscillation, the input signal and the quantization noise on the jitter caused noise in the output signal, is calculated. Results are confirmed by system level simulations

Data acquisition techniques based on frequency-encoding applied to capacitive MEMS microphones

Mención Internacional en el título de doctorThis thesis focuses on the development of capacitive sensor readout circuits and data converters based on frequency-encoding. This research has been motivated by the needs of consumer electronics industry, which constantly demands more compact readout circuit for MEMS microphones and other sensors. Nowadays, data acquisition is mainly based on encoding signals in voltage or current domains, which is becoming more challenging in modern deep submicron CMOS technologies. Frequency-encoding is an emerging signal processing technique based on encoding signals in the frequency domain. The key advantage of this approach is that systems can be implemented using mostly-digital circuitry, which benefits from CMOS technology scaling. Frequencyencoding can be used to build phase referenced integrators, which can replace classical integrators (such as switched-capacitor based integrators) in the implementation of efficient analog-to-digital converters and sensor interfaces. The core of the phase referenced integrators studied in this thesis consists of the combination of different oscillator topologies with counters and highly-digital circuitry. This work addresses two related problems: the development of capacitive MEMS sensor readout circuits based on frequency-encoding, and the design and implementation of compact oscillator-based data converters for audio applications. In the first problem, the target is the integration of the MEMS sensor into an oscillator circuit, making the oscillation frequency dependent on the sensor capacitance. This way, the sound can be digitized by measuring the oscillation frequency, using digital circuitry. However, a MEMS microphone is a complex structure on which several parasitic effects can influence the operation of the oscillator. This work presents a feasibility analysis of the integration of a MEMS microphone into different oscillator topologies. The conclusion of this study is that the parasitics of the MEMS limit the performance of the microphone, making it inefficient. In contrast, replacing conventional ADCs with frequency-encoding based ADCs has proven a very efficient solution, which motivates the next problem. In the second problem, the focus is on the development of high-order oscillator-based Sigma-Delta modulators. Firstly, the equivalence between classical integrators and phase referenced integrators has been studied, followed by an overview of state-of-art oscillator-based converters. Then, a procedure to replace classical integrators by phase referenced integrators is presented, including a design example of a second-order oscillator based Sigma-Delta modulator. Subsequently, the main circuit impairments that limit the performance of this kind of implementations, such as phase noise, jitter or metastability, are described. This thesis also presents a methodology to evaluate the impact of phase noise and distortion in oscillator-based systems. The proposed method is based on periodic steady-state analysis, which allows the rapid estimation of the system dynamic range without resorting to transient simulations. In addition, a novel technique to analyze the impact of clock jitter in Sigma-Delta modulators is described. Two integrated circuits have been implemented in 0.13 μm CMOS technology to demonstrate the feasibility of high-order oscillator-based Sigma-Delta modulators. Both chips have been designed to feature secondorder noise shaping using only oscillators and digital circuitry. The first testchip shows a malfunction in the digital circuitry due to the complexity of the multi-bit counters. The second chip, implemented using single-bit counters for simplicity, shows second-order noise shaping and reaches 103 dB-A of dynamic range in the audio bandwidth, occupying only 0.04 mm2.Esta tesis se centra en el desarrollo de conversores de datos e interfaces para sensores capacitivos basados en codificación en frecuencia. Esta investigación está motivada por las necesidades de la industria, que constantemente demanda reducir el tamaño de este tipo de circuitos. Hoy en día, la adquisición de datos está basada principalmente en la codificación de señales en tensión o en corriente. Sin embargo, la implementación de este tipo de soluciones en tecnologías CMOS nanométricas presenta varias dificultades. La codificación de frecuencia es una técnica emergente en el procesado de señales basada en codificar señales en el dominio de la frecuencia. La principal ventaja de esta alternativa es que los sistemas pueden implementarse usando circuitos mayoritariamente digitales, los cuales se benefician de los avances de la tecnología CMOS. La codificación en frecuencia puede emplearse para construir integradores referidos a la fase, que pueden reemplazar a los integradores clásicos (como los basados en capacidades conmutadas) en la implementación de conversores analógico-digital e interfaces de sensores. Los integradores referidos a la fase estudiados en esta tesis consisten en la combinación de diferentes topologías de osciladores con contadores y circuitos principalmente digitales. Este trabajo aborda dos cuestiones relacionadas: el desarrollo de circuitos de lectura para sensores MEMS capacitivos basados en codificación temporal, y el diseño e implementación de conversores de datos compactos para aplicaciones de audio basados en osciladores. En el primer caso, el objetivo es la integración de un sensor MEMS en un oscilador, haciendo que la frecuencia de oscilación depe capacidad del sensor. De esta forma, el sonido puede ser digitalizado midiendo la frecuencia de oscilación, lo cual puede realizarse usando circuitos en su mayor parte digitales. Sin embargo, un micrófono MEMS es una estructura compleja en la que múltiples efectos parasíticos pueden alterar el correcto funcionamiento del oscilador. Este trabajo presenta un análisis de la viabilidad de integrar un micrófono MEMS en diferentes topologías de oscilador. La conclusión de este estudio es que los parasíticos del MEMS limitan el rendimiento del micrófono, causando que esta solución no sea eficiente. En cambio, la implementación de conversores analógico-digitales basados en codificación en frecuencia ha demostrado ser una alternativa muy eficiente, lo cual motiva el estudio del siguiente problema. La segunda cuestión está centrada en el desarrollo de moduladores Sigma-Delta de alto orden basados en osciladores. En primer lugar se ha estudiado la equivalencia entre los integradores clásicos y los integradores referidos a la fase, seguido de una descripción de los conversores basados en osciladores publicados en los últimos años. A continuación se presenta un procedimiento para reemplazar integradores clásicos por integradores referidos a la fase, incluyendo un ejemplo de diseño de un modulador Sigma-Delta de segundo orden basado en osciladores. Posteriormente se describen los principales problemas que limitan el rendimiento de este tipo de sistemas, como el ruido de fase, el jitter o la metaestabilidad. Esta tesis también presenta un nuevo método para evaluar el impacto del ruido de fase y de la distorsión en sistemas basados en osciladores. El método propuesto está basado en simulaciones PSS, las cuales permiten la rápida estimación del rango dinámico del sistema sin necesidad de recurrir a simulaciones temporales. Además, este trabajo describe una nueva técnica para analizar el impacto del jitter de reloj en moduladores Sigma-Delta. En esta tesis se han implementado dos circuitos integrados en tecnología CMOS de 0.13 μm, con el fin de demostrar la viabilidad de los moduladores Sigma-Delta de alto orden basados en osciladores. Ambos chips han sido diseñados para producir conformación espectral de ruido de segundo orden, usando únicamente osciladores y circuitos mayoritariamente digitales. El primer chip ha mostrado un error en el funcionamiento de los circuitos digitales debido a la complejidad de las estructuras multi-bit utilizadas. El segundo chip, implementado usando contadores de un solo bit con el fin de simplificar el sistema, consigue conformación espectral de ruido de segundo orden y alcanza 103 dB-A de rango dinámico en el ancho de banda del audio, ocupando solo 0.04 mm2.Programa Oficial de Doctorado en Ingeniería Eléctrica, Electrónica y AutomáticaPresidente: Georges G.E. Gielen.- Secretario: José Manuel de la Rosa.- Vocal: Ana Rus

Low Noise, Jitter Tolerant Continuous-Time Sigma-Delta Modulator

The demand for higher data rates in receivers with carrier aggregation (CA) such as LTE, increases the efforts to integrate large number of wireless services into single receiving path, so it needs to digitize the signal in intermediate or high frequencies. It relaxes most of the front-end blocks but makes the design of ADC very challenging. Solving the bottleneck associated with ADC in receiver architecture is a major focus of many ongoing researches. Recently, continuous time Sigma-Delta analog-to-digital converters (ADCs) are getting more attention due to their inherent filtering properties, lower power consumption and wider input bandwidth. But, it suffers from several non-idealities such as clock jitter and ELD which decrease the ADC performance. This dissertation presents two projects that address CT-ΣΔ modulator non-idealities. One of the projects is a CT- ΣΔ modulator with 10.9 Effective Number of Bits (ENOB) with Gradient Descent (GD) based calibration technique. The GD algorithm is used to extract loop gain transfer function coefficients. A quantization noise reduction technique is then employed to improve the Signal to Quantization Noise Ratio (SQNR) of the modulator using a 7-bit embedded quantizer. An analog fast path feedback topology is proposed which uses an analog differentiator in order to compensate excess loop delay. This approach relaxes the requirements of the amplifier placed in front of the quantizer. The modulator is implemented using a third order loop filter with a feed-forward compensation paths and a 3-bit quantizer in the feedback loop. In order to save power and improve loop linearity a two-stage class-AB amplifier is developed. The prototype modulator is implemented in 0.13μm CMOS technology, which achieves peak Signal to Noise and Distortion Ratio (SNDR) of 67.5dB while consuming total power of 8.5-mW under a 1.2V supply with an over sampling ratio of 10 at 300MHz sampling frequency. The prototype achieves Walden's Figure of Merit (FoM) of 146fJ/step. The second project addresses clock jitter non-ideality in Continuous Time Sigma Delta modulators (CT- ΣΔM), the modulator suffer from performance degradation due to uncertainty in timing of clock at digital-to-analog converter (DAC). This thesis proposes to split the loop filter into two parts, analog and digital part to reduce the sensitivity of feedback DAC to clock jitter. By using the digital first-order filter after the quantizer, the effect of clock jitter is reduced without changing signal transfer function (STF). On the other hand, as one pole of the loop filter is implemented digitally, the power and area are reduced by minimizing active analog elements. Moreover, having more digital blocks in the loop of CT- ΣΔM makes it less sensitive to process, voltage, and temperature variations. We also propose the use of a single DAC with a current divider to implement feedback coefficients instead of two DACs to decrease area and clock routing. The prototype is implemented in TSMC 40 nm technology and occupies 0.06 mm^2 area; the proposed solution consumes 6.9 mW, and operates at 500 MS/s. In a 10 MHz bandwidth, the measured dynamic range (DR), peak signal-to-noise-ratio (SNR), and peak signal-to-noise and distortion (SNDR) ratios in presence of 4.5 ps RMS clock jitter (0.22% clock period) are 75 dB, 68 dB, and 67 dB, respectively. The proposed structure is 10 dB more tolerant to clock jitter when compared to the conventional ΣΔM design for similar loop filter

Linear Operation of Switch-Mode Outphasing Power Amplifiers

Radio transceivers are playing an increasingly important role in modern society. The ”connected” lifestyle has been enabled by modern wireless communications. The demand that has been placed on current wireless and cellular infrastructure requires increased spectral efficiency however this has come at the cost of power efficiency. This work investigates methods of improving wireless transceiver efficiency by enabling more efficient power amplifier architectures, specifically examining the role of switch-mode power amplifiers in macro cell scenarios. Our research focuses on the mechanisms within outphasing power amplifiers which prevent linear amplification. From the analysis it was clear that high power non-linear effects are correctable with currently available techniques however non-linear effects around the zero crossing point are not. As a result signal processing techniques for suppressing and avoiding non-linear operation in low power regions are explored. A novel method of digital pre-distortion is presented, and conventional techniques for linearisation are adapted for the particular needs of the outphasing power amplifier. More unconventional signal processing techniques are presented to aid linearisation of the outphasing power amplifier, both zero crossing and bandwidth expansion reduction methods are designed to avoid operation in nonlinear regions of the amplifiers. In combination with digital pre-distortion the techniques will improve linearisation efforts on outphasing systems with dynamic range and bandwidth constraints respectively. Our collaboration with NXP provided access to a digital outphasing power amplifier, enabling empirical analysis of non-linear behaviour and comparative analysis of behavioural modelling and linearisation efforts. The collaboration resulted in a bench mark for linear wideband operation of a digital outphasing power amplifier. The complimentary linearisation techniques, bandwidth expansion reduction and zero crossing reduction have been evaluated in both simulated and practical outphasing test benches. Initial results are promising and indicate that the benefits they provide are not limited to the outphasing amplifier architecture alone. Overall this thesis presents innovative analysis of the distortion mechanisms of the outphasing power amplifier, highlighting the sensitivity of the system to environmental effects. Practical and novel linearisation techniques are presented, with a focus on enabling wide band operation for modern communications standards

Architectural Improvements Towards an Efficient 16-18 Bit 100-200 MSPS ADC

As Data conversion systems continue to improve in speed and resolution, increasing demands are placed on the performance of high-speed Analog to Digital Conversion systems. This work makes a survey about all these and proposes a suitable architecture in order to achieve the desired specifications of 100-200MS/s with 16-18 bit of resolution. The main architecture is based on paralleled structures in order to achieve high sampling rate and at the same time high resolution. In order to solve problems related to Time-interleaved architectures, an advanced randomization method was introduced. It combines randomization and spectral shaping of mismatches. With a simple low-pass filter the method can, compared to conventional randomization algorithms, improve the SFDR as well as the SINAD. The main advantage of this technique over previous ones is that, because the algorithm only need that ADCs are ordered basing on their time mismatches, the absolute accuracy of the mismatch identification method does not matter and, therefore, the requirements on the timing mismatch identification are very low. In addition to that, this correction system uses very simple algorithms able to correct not only for time but also for gain and offset mismatches

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

Low Latency Audio Processing

PhDLatency in the live audio processing chain has become a concern for audio engineers and system designers because significant delays can be perceived and may affect synchronisation of signals, limit interactivity, degrade sound quality and cause acoustic feedback. In recent years, latency problems have become more severe since audio processing has become digitised, high-resolution ADCs and DACs are used, complex processing is performed, and data communication networks are used for audio signal transmission in conjunction with other traffic types. In many live audio applications, latency thresholds are bounded by human perceptions. The applications such as music ensembles and live monitoring require low delay and predictable latency. Current digital audio systems either have difficulties to achieve or have to trade-off latency with other important audio processing functionalities. This thesis investigated the fundamental causes of the latency in a modern digital audio processing system: group delay, buffering delay, and physical propagation delay and their associated system components. By studying the time-critical path of a general audio system, we focus on three main functional blocks that have the significant impact on overall latency; the high-resolution digital filters in sigma-delta based ADC/DAC, the operating system to process low latency audio streams, and the audio networking to transmit audio with flexibility and convergence. In this work, we formed new theory and methods to reduce latency and accurately predict latency for group delay. We proposed new scheduling algorithms for the operating system that is suitable for low latency audio processing. We designed a new system architecture and new protocols to produce deterministic networking components that can contribute the overall timing assurance and predictability of live audio processing. The results are validated by simulations and experimental tests. Also, this bottom-up approach is aligned with the methodology that could solve the timing problem of general cyber-physical systems that require the integration of communication, software and human interactions

State of the Field: Extreme Precision Radial Velocities

The Second Workshop on Extreme Precision Radial Velocities defined circa 2015 the state of the art Doppler precision and identified the critical path challenges for reaching 10 cm s^(−1) measurement precision. The presentations and discussion of key issues for instrumentation and data analysis and the workshop recommendations for achieving this bold precision are summarized here. Beginning with the High Accuracy Radial Velocity Planet Searcher spectrograph, technological advances for precision radial velocity (RV) measurements have focused on building extremely stable instruments. To reach still higher precision, future spectrometers will need to improve upon the state of the art, producing even higher fidelity spectra. This should be possible with improved environmental control, greater stability in the illumination of the spectrometer optics, better detectors, more precise wavelength calibration, and broader bandwidth spectra. Key data analysis challenges for the precision RV community include distinguishing center of mass (COM) Keplerian motion from photospheric velocities (time correlated noise) and the proper treatment of telluric contamination. Success here is coupled to the instrument design, but also requires the implementation of robust statistical and modeling techniques. COM velocities produce Doppler shifts that affect every line identically, while photospheric velocities produce line profile asymmetries with wavelength and temporal dependencies that are different from Keplerian signals. Exoplanets are an important subfield of astronomy and there has been an impressive rate of discovery over the past two decades. However, higher precision RV measurements are required to serve as a discovery technique for potentially habitable worlds, to confirm and characterize detections from transit missions, and to provide mass measurements for other space-based missions. The future of exoplanet science has very different trajectories depending on the precision that can ultimately be achieved with Doppler measurements