CMOS design of chaotic oscillators using state variables: a monolithic Chua's circuit

This paper presents design considerations for monolithic implementation of piecewise-linear (PWL) dynamic systems in CMOS technology. Starting from a review of available CMOS circuit primitives and their respective merits and drawbacks, the paper proposes a synthesis approach for PWL dynamic systems, based on state-variable methods, and identifies the associated analog operators. The GmC approach, combining quasi-linear VCCS's, PWL VCCS's, and capacitors is then explored regarding the implementation of these operators. CMOS basic building blocks for the realization of the quasi-linear VCCS's and PWL VCCS's are presented and applied to design a Chua's circuit IC. The influence of GmC parasitics on the performance of dynamic PWL systems is illustrated through this example. Measured chaotic attractors from a Chua's circuit prototype are given. The prototype has been fabricated in a 2.4- mu m double-poly n-well CMOS technology, and occupies 0.35 mm/sup 2/, with a power consumption of 1.6 mW for a +or-2.5-V symmetric supply. Measurements show bifurcation toward a double-scroll Chua's attractor by changing a bias current

0.5V 3rd-order Tunable gm-C Filter

This paper proposes a 3rd-order gm-C filter that operates with the extremely low voltage supply of 0.5V. The employed transconductor is capable for operating in an extremely low voltage power supply environment. A benefit offered by the employed transconductor is that the filter’s cut-off frequency can be tuned, through a dc control current, for relatively large ranges. The filter structure was designed using normal threshold transistors of a triple-well 0.13μm CMOS process and is operated under a 0.5V supply voltage; its behavior has been evaluated through simulation results by utilizing the Analog Design Environment of the Cadence software

Study Of Design For Reliability Of Rf And Analog Circuits

Due to continued device dimensions scaling, CMOS transistors in the nanometer regime have resulted in major reliability and variability challenges. Reliability issues such as channel hot electron injection, gate dielectric breakdown, and negative bias temperature instability (NBTI) need to be accounted for in the design of robust RF circuits. In addition, process variations in the nanoscale CMOS transistors are another major concern in today‟s circuits design. An adaptive gate-source biasing scheme to improve the RF circuit reliability is presented in this work. The adaptive method automatically adjusts the gate-source voltage to compensate the reduction in drain current subjected to various device reliability mechanisms. A class-AB RF power amplifier shows that the use of a source resistance makes the power-added efficiency robust against threshold voltage and mobility variations, while the use of a source inductance is more reliable for the input third-order intercept point. A RF power amplifier with adaptive gate biasing is proposed to improve the circuit device reliability degradation and process variation. The performances of the power amplifier with adaptive gate biasing are compared with those of the power amplifier without adaptive gate biasing technique. The adaptive gate biasing makes the power amplifier more resilient to process variations as well as the device aging such as mobility and threshold voltage degradation. Injection locked voltage-controlled oscillators (VCOs) have been examined. The VCOs are implemented using TSMC 0.18 µm mixed-signal CMOS technology. The injection locked oscillators have improved phase noise performance than free running oscillators. iv A differential Clapp-VCO has been designed and fabricated for the evaluation of hot electron reliability. The differential Clapp-VCO is formed using cross-coupled nMOS transistors, on-chip transformers/inductors, and voltage-controlled capacitors. The experimental data demonstrate that the hot carrier damage increases the oscillation frequency and degrades the phase noise of Clapp-VCO. A p-channel transistor only VCO has been designed for low phase noise. The simulation results show that the phase noise degrades after NBTI stress at elevated temperature. This is due to increased interface states after NBTI stress. The process variability has also been evaluated

Phase Noise in CMOS Phase-Locked Loop Circuits

Phase-locked loops (PLLs) have been widely used in mixed-signal integrated circuits. With the continuously increasing demand of market for high speed, low noise devices, PLLs are playing a more important role in communications. In this dissertation, phase noise and jitter performances are investigated in different types of PLL designs. Hot carrier and negative bias temperature instability effects are analyzed from simulations and experiments. Phase noise of a CMOS phase-locked loop as a frequency synthesizer circuit is modeled from the superposition of noises from its building blocks: voltage-controlled oscillator, frequency divider, phase-frequency detector, loop filter and auxiliary input reference clock. A linear time invariant model with additive noise sources in frequency domain is presented to analyze the phase noise. The modeled phase noise results are compared with the corresponding experimentally measured results on phase-locked loop chips fabricated in 0.5 m n-well CMOS process. With the scaling of CMOS technology and the increase of electrical field, MOS transistors have become very sensitive to hot carrier effect (HCE) and negative bias temperature instability (NBTI). These two reliability issues pose challenges to designers for designing of chips in deep submicron CMOS technologies. A new strategy of switchable CMOS phase-locked loop frequency synthesizer is proposed to increase its tuning range. The switchable PLL which integrates two phase-locked loops with different tuning frequencies are designed and fabricated in 0.5 µm CMOS process to analyze the effects under HCE and NBTI. A 3V 1.2 GHz programmable phase-locked loop frequency synthesizer is designed in 0.5 μm CMOS technology. The frequency synthesizer is implemented using LC voltage-controlled oscillator (VCO) and a low power dual-modulus prescaler. The LC VCO working range is from 900MHz to 1.4GHz. Current mode logic (CML) is used in designing high speed D flip-flop in the dual-modulus prescaler circuits for low power consumption. The power consumption of the PLL chip is under 30mW. Fully differential LC VCO is used to provide high oscillation frequency. A new design of LC VCO using carbon nanotube (CNT) wire inductor has been proposed. The PLL design using CNT-LC VCO shows significant improvement in phase noise due to high-Q LC circuit

Optimization of ring oscillators

Dissertação para obtenção do Grau de Mestre em Engenharia Electrotécnica e de ComputadoresVoltage Controlled Oscillators (VCOs) are from all the building blocks of a PLL, those whose implementation is more critical, since the quality of the signal depends on its performance. The VCOs can be implemented based on LC oscillators or ring oscillators. The ring oscillators, despite of being worst when it comes to manners of phase noise, they are rather used due to lower power consumption, wider tuning range and occupying less area. Despite the fact that VCOs are widely used in last years, their designed is still a problem hard to deal with, since the ring oscillators circuits must satisfy some specifications such as area, power, speed and noise. The work proposed in this thesis aims at the development of an environment for automatic scaling of voltage-controlled oscillators with ring topology. In this work it was considered a design methodology based optimization using an analytical model of the oscillator. The oscillator model is based on the EKV model for the characterization of the transistors so as to ensure its applicability to submicron dimensions technologies. The work took place according to the following phases: - Study of ring oscillators and models proposed in the literature - Evaluation of the limitations of existing models and proposed use of EKV model. - Automatic determination of the parameters of the EKV model for UMC130 technology - Development of an analytic model for characterizing the VCO with predefined delay cell. - Use of optimization techniques for automatic sizing of the VCO

Novel active function blocks and their applications in frequency filters and quadrature oscillators

Kmitočtové filtry a sinusoidní oscilátory jsou lineární elektronické obvody, které jsou používány v široké oblasti elektroniky a jsou základními stavebními bloky v analogovém zpracování signálu. V poslední dekádě pro tento účel bylo prezentováno velké množství stavebních funkčních bloků. V letech 2000 a 2006 na Ústavu telekomunikací, VUT v Brně byly definovány univerzální proudový konvejor (UCC) a univerzální napět'ový konvejor (UVC) a vyrobeny ve spolupráci s firmou AMI Semiconductor Czech, Ltd. Ovšem, stále existuje požadavek na vývoj nových aktivních prvků, které nabízejí nové výhody. Hlavní přínos práce proto spočívá v definici dalších původních aktivních stavebních bloků jako jsou differential-input buffered and transconductance amplifier (DBTA), current follower transconductance amplifier (CFTA), z-copy current-controlled current inverting transconductance amplifier (ZC-CCCITA), generalized current follower differential input transconductance amplifier (GCFDITA), voltage gain-controlled modified current-feedback operational amplifier (VGC-MCFOA), a minus-type current-controlled third-generation voltage conveyor (CC-VCIII-). Pomocí navržených aktivních stavebních bloků byly prezentovány původní zapojení fázovacích článků prvního řádu, univerzální filtry druhého řádu, ekvivalenty obvodu typu KHN, inverzní filtry, aktivní simulátory uzemněného induktoru a kvadraturní sinusoidní oscilátory pracující v proudovém, napět'ovém a smíšeném módu. Chování navržených obvodů byla ověřena simulací v prostředí SPICE a ve vybraných případech experimentálním měřením.Frequency filters and sinusoidal oscillators are linear electric circuits that are used in wide area of electronics and also are the basic building blocks in analogue signal processing. In the last decade, huge number of active building blocks (ABBs) were presented for this purpose. In 2000 and 2006, the universal current conveyor (UCC) and the universal voltage conveyor (UVC), respectively, were designed at the Department of Telecommunication, BUT, Brno, and produced in cooperation with AMI Semiconductor Czech, Ltd. There is still the need to develop new active elements that offer new advantages. The main contribution of this thesis is, therefore, the definition of other novel ABBs such as the differential-input buffered and transconductance amplifier (DBTA), the current follower transconductance amplifier (CFTA), the z-copy current-controlled current inverting transconductance amplifier (ZC-CCCITA), the generalized current follower differential input transconductance amplifier (GCFDITA), the voltage gain-controlled modified current-feedback operational amplifier (VGC-MCFOA), and the minus-type current-controlled third-generation voltage conveyor (CC-VCIII-). Using the proposed ABBs, novel structures of first-order all-pass filters, second-order universal filters, KHN-equivalent circuits, inverse filters, active grounded inductance simulators, and quadrature sinusoidal oscillators working in the current-, voltage-, or mixed-mode are presented. The behavior of the proposed circuits has been verified by SPICE simulations and in selected cases also by experimental measurements.

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

On the design of ultra low voltage CMOS oscillators

Los nodos sensores inalámbricos tienen fuertes requerimientos de bajo consumo de manera 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 útiles 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 operar como 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 45 um x 74 um y 78 um x 83 um, respectivamente. El consumo de potencia de sendos osciladores es 2.26 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, el tiempo de arranque y la amplitud de oscilación. La desviación de Allan es 30 ppb en 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.Agencia Nacional de Investigación e InnovaciónComisión Académica de Posgrado. Universidad de la RepúblicaComisión Sectorial de Investigación Científica. Universidad de la Repúblic

Systematic Comparison of HF CMOS Transconductors

Transconductors are commonly used as active elements in high-frequency (HF) filters, amplifiers, mixers, and oscillators. This paper reviews transconductor design by focusing on the V-I kernel that determines the key transconductor properties. Based on bandwidth considerations, simple V-I kernels with few or no internal nodes are preferred. In a systematic way, virtually all simple kernels published in literature are generated. This is done in two steps: 1) basic 3-terminal transconductors are covered and 2) then five different techniques to combine two of them in a composite V-I kernel. In order to compare transconductors in a fair way, a normalized signal-to-noise ratio (NSNR) is defined. The basic V-I kernels and the five classes of composite V-I kernels are then compared, leading to insight in the key mechanisms that affect NSNR. Symbolic equations are derived to estimate NSNR, while simulations with more advanced MOSFET models verify the results. The results show a strong tradeoff between NSNR and transconductance tuning range. Resistively generated MOSFETs render the best NSNR results and are robust for future technology developments