Analysis and design of sinusoidal quadrature RC-oscillators

Modern telecommunication equipment requires components that operate in many different frequency bands and support multiple communication standards, to cope with the growing demand for higher data rate. Also, a growing number of standards are adopting the use of spectrum efficient digital modulations, such as quadrature amplitude modulation (QAM) and orthogonal frequency division multiplexing (OFDM). These modulation schemes require accurate quadrature oscillators, which makes the quadrature oscillator a key block in modern radio frequency (RF) transceivers. The wide tuning range characteristics of inductorless quadrature oscillators make them natural candidates, despite their higher phase noise, in comparison with LC-oscillators. This thesis presents a detailed study of inductorless sinusoidal quadrature oscillators. Three quadrature oscillators are investigated: the active coupling RC-oscillator, the novel capacitive coupling RCoscillator, and the two-integrator oscillator. The thesis includes a detailed analysis of the Van der Pol oscillator (VDPO). This is used as a base model oscillator for the analysis of the coupled oscillators. Hence, the three oscillators are approximated by the VDPO. From the nonlinear Van der Pol equations, the oscillators’ key parameters are obtained. It is analysed first the case without component mismatches and then the case with mismatches. The research is focused on determining the impact of the components’ mismatches on the oscillator key parameters: frequency, amplitude-, and quadrature-errors. Furthermore, the minimization of the errors by adjusting the circuit parameters is addressed. A novel quadrature RC-oscillator using capacitive coupling is proposed. The advantages of using the capacitive coupling are that it is noiseless, requires a small area, and has low power dissipation. The equations of the oscillation amplitude, frequency, quadrature-error, and amplitude mismatch are derived. The theoretical results are confirmed by simulation and by measurement of two prototypes fabricated in 130 nm standard complementary metal-oxide-semiconductor (CMOS) technology. The measurements reveal that the power increase due to the coupling is marginal, leading to a figure-of-merit of -154.8 dBc/Hz. These results are consistent with the noiseless feature of this coupling and are comparable to those of the best state-of-the-art RC-oscillators, in the GHz range, but with the lowest power consumption (about 9 mW). The results for the three oscillators show that the amplitude- and the quadrature-errors are proportional to the component mismatches and inversely proportional to the coupling strength. Thus, increasing the coupling strength decreases both the amplitude- and quadrature-errors. With proper coupling strength, a quadrature error below 1° and amplitude imbalance below 1% are obtained. Furthermore, the simulations show that increasing the coupling strength reduces the phase noise. Hence, there is no trade-off between phase noise and quadrature error. In the twointegrator oscillator study, it was found that the quadrature error can be eliminated by adjusting the transconductances to compensate the capacitance mismatch. However, to obtain outputs in perfect quadrature one must allow some amplitude error

Room temperature GW bar detector with opto-mechanical readout

We present the full implementation of a room-temperature gravitational wave bar detector equipped with an opto-mechanical readout. The mechanical vibrations are read by a Fabry--Perot interferometer whose length changes are compared with a stable reference optical cavity by means of a resonant laser. The detector performance is completely characterized in terms of spectral sensitivity and statistical properties of the fluctuations in the system output signal. The new kind of readout technique allows for wide-band detection sensitivity and we can accurately test the model of the coupled oscillators for thermal noise. Our results are very promising in view of cryogenic operation and represent an important step towards significant improvements in the performance of massive gravitational wave detectors.Comment: 7 figures, submitted to Phys. Rev.

Zero-Point Fluctuations and the Quenching of the Persistent Current in Normal Metal Rings

The ground state of a phase-coherent mesoscopic system is sensitive to its environment. We investigate the persistent current of a ring with a quantum dot which is capacitively coupled to an external circuit with a dissipative impedance. At zero temperature, zero-point quantum fluctuations lead to a strong suppression of the persistent current with decreasing external impedance. We emphasize the role of displacement currents in the dynamical fluctuations of the persistent current and show that with decreasing external impedance the fluctuations exceed the average persistent current.Comment: 4 pages, 2 eps figure

Phase-Coherent Dynamics of a Superconducting Flux Qubit with Capacitive-Bias Readout

We present a systematic study of the phase-coherent dynamics of a superconducting three-Josephson-junction flux qubit. The qubit state is detected with the integrated-pulse method, which is a variant of the pulsed switching DC SQUID method. In this scheme the DC SQUID bias current pulse is applied via a capacitor instead of a resistor, giving rise to a narrow band-pass instead of a pure low-pass filter configuration of the electromagnetic environment. Measuring one and the same qubit with both setups allows a direct comparison. With the capacitive method about four times faster switching pulses and an increased visibility are achieved. Furthermore, the deliberate engineering of the electromagnetic environment, which minimizes the noise due to the bias circuit, is facilitated. Right at the degeneracy point the qubit coherence is limited by energy relaxation. We find two main noise contributions. White noise is limiting the energy relaxation and contributing to the dephasing far from the degeneracy point. 1/f-noise is the dominant source of dephasing in the direct vicinity of the optimal point. The influence of 1/f-noise is also supported by non-random beatings in the Ramsey and spin echo decay traces. Numeric simulations of a coupled qubit-oscillator system indicate that these beatings are due to the resonant interaction of the qubit with at least one point-like fluctuator, coupled especially strongly to the qubit.Comment: Minor changes. 21 pages, 15 figure

Circuit for Precision Simulation of a Capacitive Josephson Junction

A circuit is described which functions as a precision electronic analog of a resistively shunted, capacitive Josephson junction. This design offers significant improvements over earlier simulators, particularly because no analog switches are required, and also because high performance op-amps have been matched to the demands of the circuit. The junction analog is used to generate I-V curves, and to model the dynamics when an abrupt bias pulse is applied. The simulator is shown to be very accurate when tested against numerical solutions for the same systems

Interface Circuits for Microsensor Integrated Systems

ca. 200 words; this text will present the book in all promotional forms (e.g. flyers). Please describe the book in straightforward and consumer-friendly terms. [Recent advances in sensing technologies, especially those for Microsensor Integrated Systems, have led to several new commercial applications. Among these, low voltage and low power circuit architectures have gained growing attention, being suitable for portable long battery life devices. The aim is to improve the performances of actual interface circuits and systems, both in terms of voltage mode and current mode, in order to overcome the potential problems due to technology scaling and different technology integrations. Related problems, especially those concerning parasitics, lead to a severe interface design attention, especially concerning the analog front-end and novel and smart architecture must be explored and tested, both at simulation and prototype level. Moreover, the growing demand for autonomous systems gets even harder the interface design due to the need of energy-aware cost-effective circuit interfaces integrating, where possible, energy harvesting solutions. The objective of this Special Issue is to explore the potential solutions to overcome actual limitations in sensor interface circuits and systems, especially those for low voltage and low power Microsensor Integrated Systems. The present Special Issue aims to present and highlight the advances and the latest novel and emergent results on this topic, showing best practices, implementations and applications. The Guest Editors invite to submit original research contributions dealing with sensor interfacing related to this specific topic. Additionally, application oriented and review papers are encouraged.

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