A study of phase noise in colpitts and LC-tank CMOS oscillators

This paper presents a study of phase noise in CMOS Colpitts and LC-tank oscillators. Closed-form symbolic formulas for the 1/f/sup 2/ phase-noise region are derived for both the Colpitts oscillator (either single-ended or differential) and the LC-tank oscillator, yielding highly accurate results under very general assumptions. A comparison between the differential Colpitts and the LC-tank oscillator is also carried out, which shows that the latter is capable of a 2-dB lower phase-noise figure-of-merit (FoM) when simplified oscillator designs and ideal MOS models are adopted. Several prototypes of both Colpitts and LC-tank oscillators have been implemented in a 0.35-/spl mu/m CMOS process. The best performance of the LC-tank oscillators shows a phase noise of -142dBc/Hz at 3-MHz offset frequency from a 2.9-GHz carrier with a 16-mW power consumption, resulting in an excellent FoM of /spl sim/189 dBc/Hz. For the same oscillation frequency, the FoM displayed by the differential Colpitts oscillators is /spl sim/5 dB lower

Epsilon-Near-Zero Al-Doped ZnO for Ultrafast Switching at Telecom Wavelengths: Outpacing the Traditional Amplitude-Bandwidth Trade-Off

Transparent conducting oxides have recently gained great attention as CMOS-compatible materials for applications in nanophotonics due to their low optical loss, metal-like behavior, versatile/tailorable optical properties, and established fabrication procedures. In particular, aluminum doped zinc oxide (AZO) is very attractive because its dielectric permittivity can be engineered over a broad range in the near infrared and infrared. However, despite all these beneficial features, the slow (> 100 ps) electron-hole recombination time typical of these compounds still represents a fundamental limitation impeding ultrafast optical modulation. Here we report the first epsilon-near-zero AZO thin films which simultaneously exhibit ultra-fast carrier dynamics (excitation and recombination time below 1 ps) and an outstanding reflectance modulation up to 40% for very low pump fluence levels (< 4 mJ/cm2) at the telecom wavelength of 1.3 {\mu}m. The unique properties of the demonstrated AZO thin films are the result of a low temperature fabrication procedure promoting oxygen vacancies and an ultra-high carrier concentration. As a proof-of-concept, an all-optical AZO-based plasmonic modulator achieving 3 dB modulation in 7.5 {\mu}m and operating at THz frequencies is numerically demonstrated. Our results overcome the traditional "modulation depth vs. speed" trade-off by at least an order of magnitude, placing AZO among the most promising compounds for tunable/switchable nanophotonics.Comment: 14 pages, 9 figures, 1 tabl

Innovative Concepts for the Electronic Interface of Massively Parallel MRI Phased Imaging Arrays

In Magnetic Resonance Imaging (MRI), the concept of parallel imaging shows significant enhancements in boosting the signal-to-noise ratio, reducing the imaging time, and enlarging the imaging field of view. However, this concept necessitates increased size, cost, and complexity of the MR system. This thesis introduces an innovative solution for the electronics of the MRI system that allows parallel imaging with massive number of channels while avoiding, at the same time, the associated drawback

Analysis of the high frequency substrate noise effects on LC-VCOs

La integració de transceptors per comunicacions de radiofreqüència en CMOS pot quedar seriosament limitada per la interacció entre els seus blocs, arribant a desaconsellar la utilització de un únic dau de silici. El soroll d’alta freqüència generat per certs blocs, com l’amplificador de potencia, pot viatjar pel substrat i amenaçar el correcte funcionament de l’oscil·lador local. Trobem tres raons importants que mostren aquest risc d’interacció entre blocs i que justifiquen la necessitat d’un estudi profund per minimitzar-lo. Les característiques del substrat fan que el soroll d’alta freqüència es propagui m’és fàcilment que el de baixa freqüència. Per altra banda, les estructures de protecció perden eficiència a mesura que la freqüència augmenta. Finalment, el soroll d’alta freqüència que arriba a l’oscil·lador degrada al seu correcte comportament. El propòsit d’aquesta tesis és analitzar en profunditat la interacció entre el soroll d’alta freqüència que es propaga pel substrat i l’oscil·lador amb l’objectiu de poder predir, mitjançant un model, l’efecte que aquest soroll pot tenir sobre el correcte funcionament de l’oscil·lador. Es volen proporcionar diverses guies i normes a seguir que permeti als dissenyadors augmentar la robustesa dels oscil·ladors al soroll d’alta freqüència que viatja pel substrat. La investigació de l’efecte del soroll de substrat en oscil·ladors s’ha iniciat des d’un punt de vista empíric, per una banda, analitzant la propagació de senyals a través del substrat i avaluant l’eficiència d’estructures per bloquejar aquesta propagació, i per altra, determinant l’efecte d’un to present en el substrat en un oscil·lador. Aquesta investigació ha mostrat que la injecció d’un to d’alta freqüència en el substrat es pot propagar fins arribar a l’oscil·lador i que, a causa del ’pulling’ de freqüència, pot modular en freqüència la sortida de l’oscil·lador. A partir dels resultats de l’anàlisi empíric s’ha aportat un model matemàtic que permet predir l’efecte del soroll en l’oscil·lador. Aquest model té el principal avantatge en el fet de que està basat en paràmetres físics de l’oscil·lador o del soroll, permetent determinar les mesures que un dissenyador pot prendre per augmentar la robustesa de l’oscil·lador així com les conseqüències que aquestes mesures tenen sobre el seu funcionament global (trade-offs). El model ha estat comparat tant amb simulacions com amb mesures reals demostrant ser molt precís a l’hora de predir l’efecte del soroll de substrat. La utilitat del model com a eina de disseny s’ha demostrat en dos estudis. Primerament, les conclusions del model han estat aplicades en el procés de disseny d’un oscil·lador d’ultra baix consum a 2.5GHz, aconseguint un oscil·lador robust al soroll de substrat d’alta freqüència i amb característiques totalment compatibles amb els principals estàndards de comunicació en aquesta banda. Finalment, el model s’ha utilitzat com a eina d’anàlisi per avaluar la causa de les diferències, en termes de robustesa a soroll de substrat, mesurades en dos oscil·ladors a 60GHz amb dues diferents estratègies d’apantallament de l’inductor del tanc de ressonant, flotant en un cas i connectat a terra en l’altre. El model ha mostrat que les diferències en robustesa són causades per la millora en el factor de qualitat i en l’amplitud d’oscil·lació i no per un augment en l’aïllament entre tanc i substrat. Per altra banda, el model ha demostrat ser vàlid i molt precís inclús en aquest rang de freqüència tan extrem. el principal avantatge en el fet de que està basat en paràmetres físics de l’oscil·lador o del soroll, permetent determinar les mesures que un dissenyador pot prendre per augmentar la robustesa de l’oscil·lador així com les conseqüències que aquestes mesures tenen sobre el seu funcionament global (trade-offs). El model ha estat comparat tant amb simulacions com amb mesures reals demostrant ser molt precís a l’hora de predir l’efecte del soroll de substrat. La utilitat del model com a eina de disseny s’ha demostrat en dos estudis. Primerament, les conclusions del model han estat aplicades en el procés de disseny d’un oscil·lador d’ultra baix consum a 2.5GHz, aconseguint un oscil·lador robust al soroll de substrat d’alta freqüència i amb característiques totalment compatibles amb els principals estàndards de comunicació en aquesta banda. Finalment, el model s’ha utilitzat com a eina d’anàlisi per avaluar la causa de les diferències, en termes de robustesa a soroll de substrat, mesurades en dos oscil·ladors a 60GHz amb dues diferents estratègies d’apantallament de l’inductor del tanc de ressonant, flotant en un cas i connectat a terra en l’altre. El model ha mostrat que les diferències en robustesa són causades per la millora en el factor de qualitat i en l’amplitud d’oscil·lació i no per un augment en l’aïllament entre tanc i substrat. Per altra banda, el model ha demostrat ser vàlid i molt precís inclús en aquest rang de freqüència tan extrem.The integration of transceivers for RF communication in CMOS can be seriously limited by the interaction between their blocks, even advising against using a single silicon die. The high frequency noise generated by some of the blocks, like the power amplifier, can travel through the substrate, reaching the local oscillator and threatening its correct performance. Three important reasons can be stated that show the risk of the single die integration. Noise propagation is easier the higher the frequency. Moreover, the protection structures lose efficiency as the noise frequency increases. Finally, the high frequency noise that reaches the local oscillator degrades its performance. The purpose of this thesis is to deeply analyze the interaction between the high frequency substrate noise and the oscillator with the objective of being able to predict, thanks to a model, the effect that this noise may have over the correct behavior of the oscillator. We want to provide some guidelines to the designers to allow them to increase the robustness of the oscillator to high frequency substrate noise. The investigation of the effect of the high frequency substrate noise on oscillators has started from an empirical point of view, on one hand, analyzing the noise propagation through the substrate and evaluating the efficiency of some structures to block this propagation, and on the other hand, determining the effect on an oscillator of a high frequency noise tone present in the substrate. This investigation has shown that the injection of a high frequency tone in the substrate can reach the oscillator and, due to a frequency pulling effect, it can modulate in frequency the output of the oscillator. Based on the results obtained during the empirical analysis, a mathematical model to predict the effect of the substrate noise on the oscillator has been provided. The main advantage of this model is the fact that it is based on physical parameters of the oscillator and of the noise, allowing to determine the measures that a designer can take to increase the robustness of the oscillator as well as the consequences (trade-offs) that these measures have over its global performance. This model has been compared against both, simulations and real measurements, showing a very high accuracy to predict the effect of the high frequency substrate noise. The usefulness of the presented model as a design tool has been demonstrated in two case studies. Firstly, the conclusions obtained from the model have been applied in the design of an ultra low power consumption 2.5 GHz oscillator robust to the high frequency substrate noise with characteristics which make it compatible with the main communication standards in this frequency band. Finally, the model has been used as an analysis tool to evaluate the cause of the differences, in terms of performance degradation due to substrate noise, measured in two 60 GHz oscillators with two different tank inductor shielding strategies, floating and grounded. The model has determined that the robustness differences are caused by the improvement in the tank quality factor and in the oscillation amplitude and no by an increased isolation between the tank and the substrate. The model has shown to be valid and very accurate even in these extreme frequency range.Postprint (published version

Dissipative Kerr solitons in optical microresonators

This chapter describes the discovery and stable generation of temporal dissipative Kerr solitons in continuous-wave (CW) laser driven optical microresonators. The experimental signatures as well as the temporal and spectral characteristics of this class of bright solitons are discussed. Moreover, analytical and numerical descriptions are presented that do not only reproduce qualitative features but can also be used to accurately model and predict the characteristics of experimental systems. Particular emphasis lies on temporal dissipative Kerr solitons with regard to optical frequency comb generation where they are of particular importance. Here, one example is spectral broadening and self-referencing enabled by the ultra-short pulsed nature of the solitons. Another example is dissipative Kerr soliton formation in integrated on-chip microresonators where the emission of a dispersive wave allows for the direct generation of unprecedentedly broadband and coherent soliton spectra with smooth spectral envelope.Comment: To appear in "Nonlinear optical cavity dynamics", ed. Ph. Grel

Non-gyrator type active inductors

Modern CMOS radio frequency (RF) Receivers have enabled efficient and increasing applications. The main requirement is to have system in a single chip, in order to minimize area and cost. For the purpose it is required the development of inductorless circuits for the key blocks of an RF receiver. Examples of this key blocks are RC oscillators, RF band pass filters, and Low Noise Amplifiers. The present dissertation presents an inductorless wideband MOSFET-only RF Non-Gyrator Type of Active Inductors with low area, low cost, and very low power, capable of covering the whole WMTS, and ISM, band and intended for biomedical applications. The proposed circuit is based on a floating capacitor connected between two controlled current sources. The first current source, which is controlled by the circuit input voltage, has two objectives: supply current to the capacitor (2) and develop a voltage with 90º degrees in regard to the first current. The capacitor controls the second current source. The addition of one transistor compensates the capacitive parcel of the input current, in order to become purely inductive. This model, based on Active Inductors (AI) takes advantage of the 130 MOS technology to optimize the control of the quality factor. In this sense, the proposed AIs can behave as a parallel RLC Oscillator, and examples of realizations for 662 MHz to 4.1 GHz range are given. A 1.2 V power source, supply the circuit with 56.4 W at the maximum oscillation frequency. With this results, it is possible to confirm the proposed objectives, in order to have a functional Active Inductor as a key block in RF transceivers

On the design of ultra low voltage CMOS oscillators.

Wireless sensor nodes require very tight power budgets to operate from either asmall battery, some energy harvesting mechanism or both. In many cases, thermalor electrochemical harvesting devices provide very low voltages of the order of100 mV or even lower. Time-keeping functionality is required in IoT systems andthe time-keeping module must be on at all times. Crystal oscillators have provento be useful for low power time-keeping applications, and in this context supplyvoltage lowering is a convenient strategy. Therefore, 32 kHz crystal oscillatorsoperating with only 60 mV supply are presented. Two implementations based ona Schmitt trigger circuit for two different crystals were designed and experimentallycharacterized.These crystal oscillators are based on the application of a Schmitt trigger asan amplifier. Guidelines for designing this block to be the amplifier of a crystaloscillator are provided. Furthermore, a dynamic model of the Schmitt trigger isproposed and the model results are compared against simulations. The amplifierswere experimentally characterized, providing a gain of 2.48 V/V with a 60 mVpower supply. As it was intended in the design stage, for voltages above 100 mVhysteresis appears and the Schmitt trigger starts operating as a comparator.The Schmitt triggers to operate as amplifiers of the crystal oscillators aredesigned in a 130 nm CMOS process, requiring an area of 45μm x 74μm and78μm x 83μm, respectively. The power consumptions of the crystal oscillators are2.26 nW and 15 nW and the temperature stabilities attained are 62 ppm (25-62°C)and 50 ppm (5-62°C), respectively. The dependence on the supply voltage of thecurrent consumption, fractional frequency, start-up time and oscillation amplitudewere measured. The Allan deviation is 30 ppb for both oscillators.On the other hand, an LC voltage controlled oscillator (VCO) is designed in28 nm FD-SOI for RF applications. The possibility of modeling the transistors inthe 28 nm FD-SOI technology by means of the all inversion region long channelbulk transistor model used for the Schmitt trigger circuits, is studied. A cross-coupled nMOS architecture is used to build the VCO. The theoretical limit for theminimum supply voltage that enables oscillation is studied. The transistors wereoptimally sized to aim the minimum power consumption through a low-voltageapproach and the performance of the VCO was obtained through simulations. Los nodos sensores inalámbricos tienen fuertes requerimientos de bajo consumo demanera de operar con baterías pequeñas o algún mecanismo de cosecha de energía, o ambos. En muchos casos, la cosecha de energía térmica o electroquímica provee tensiones muy bajas del orden de 100 mV o incluso menos. Los sistemas de internet de las cosas incluyen un módulo de reloj que debe estar siempre encendido a efectos de contar el tiempo. Los osciladores a cristal son probadamente ́utiles como relojes de bajo consumo, y en este contexto la reducción de la tensión es una estrategia conveniente. Por lo tanto, presentamos osciladores a cristal de 32 kHz operando con sólo 60 mV de tensión de alimentación. Dos implementaciones, basadas en el circuito Schmitt trigger para dos cristales diferentes, se diseñan y caracterizan experimentalmente.Estos osciladores a cristal están basados en la aplicación del Schmitt trigger como amplificador. Se provee una guía para el diseño de este bloque para funcionar como el amplificador de un oscilador a cristal. Adicionalmente se propone un modelo dinámico del Schmitt trigger y los resultados del modelo son comparados con resultados de simulación. Los amplificadores son caracterizados experimentalmente, proveyendo una ganancia de 2.48 V/V con 60 mV de tensión de alimentación. Tal como se pretende en la etapa de diseño, para tensiones mayores a 100 mV aparece el fenómeno de histéresis y el Schmitt trigger comienza a operarcomo un comparador.Los Schmitt trigger para operar como amplificadores de los osciladores a cristal son diseñados en un proceso CMOS de 130 nm y ocupan un área de 45μm x 74μmy 78μm x 83μm, respectivamente. El consumo de potencia de sendos osciladores es2.26 nW y 15 nW y la estabilidad en temperatura obtenida es de 62 ppm (25-62°C)y 50 ppm (5-62°C), respectivamente. Se midieron la dependencia del consumo de corriente con respecto a la tensión de alimentación, la frequencia de oscilación, eltiempo de arranque y la amplitud de oscilación. La desviación de Allan es 30 ppben ambos osciladores.Por otra parte, un oscilador LC controlado por voltaje es diseñado en un proceso CMOS de silicio sobre aislante en deplexión total de 28 nm, para aplicaciones de radiofrecuencia. Se estudia la posibilidad de utilizar en este caso el mismo modelo utilizado para el diseño del Schmitt trigger. Dicho modelo es válido en todas las regiones de inversión y está desarrollado para transistores de tipo sustrato y de canal largo. La arquitectura de transistores nMOS entrelazados es la utilizada para este oscilador. Se estudia el límite teórico para la mínima tensión de alimentación. Los transistores son dimensionados de manera óptima para obtener el mínimo consumo de potencia posible, utilizando un enfoque de baja tensión y el desempeño del oscilador se obtuvo mediante simulaciones