Efficient Continuous-Time Sigma-Delta Converters for High Frequency Applications

Over the years Continuous-Time (CT) Sigma-Delta (ΣΔ) modulators have received a lot of attention due to their ability to efficiently digitize a variety of signals, and suitability for many different applications. Because of their tolerance to component mismatch, the easy to drive input structure, as well as intrinsic anti-aliasing filtering and noise shaping abilities, CTΣΔ modulators have become one of the most popular data-converter type for high dynamic range and moderate/wide bandwidth. This trend is the result of faster CMOS technologies along with design innovations such as better architectures and faster amplifiers. In other words, CTΣΔ modulators are starting to offer the best of both worlds, with high resolution and high bandwidth. This dissertation focuses on the bandwidth and resolution of CTΣΔ modulators. The goal of this research is to use the noise shaping benefits of CTΣΔ modulators for different wireless applications, while achieving high resolution and/or wide bandwidth. For this purpose, this research focuses on two different application areas that demand speed and resolution. These are a low-noise high-resolution time-to-digital converter (TDC), ideal for digital phase lock loops (PLL), and a very high-speed, wide-bandwidth CTΣΔ modulator for wireless communication. The first part of this dissertation presents a new noise shaping time-to-digital converter, based on a CTΣΔ modulator. This is intended to reduce the in-band phase noise of a high frequency digital phase lock loop (PLL) without reducing its loop bandwidth. To prove the effectiveness of the proposed TDC, 30GHz and a 40GHz fractional-N digital PLL are designed as a signal sources for a 240GHz FMCW radar system. Both prototypes are fabricated in a 65nm CMOS process. The standalone TDC achieves 81dB dynamic range and 13.2 equivalent number of bits (ENOB) with 176fs integrated-rms noise from 1MHz bandwidth. The in-band phase noise of the 30GHz digital fractional-N PLL is measured as -87dBc/Hz at a 100kHz offset which is equivalent to -212.6dBc/Hz2 normalized in-band phase noise. The second part of this dissertation focuses on high-speed (GS/s) CTΣΔ modulators for wireless communication, and introduces a new time-interleaved reference data weighted averaging (TI-RDWA) architecture suitable for GS/s CTΣΔ modulators. This new architecture shapes the digital-to-analog converter (DAC) mismatch effects in a CTΣΔ modulator at GS/s operating speeds. It allows us to use smaller DAC unit sizes to reduce area and power consumption for the same bandwidth. The prototype 5GS/s CTΣΔ modulator with TI-RDWA is fabricated in 40nm CMOS and it achieves 156MHz bandwidth, 70dB dynamic range, 84dB SFDR and a Schreier FoM of 158.3dB.PHDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/138763/1/bdayanik_1.pd

On-Chip Analog Circuit Design Using Built-In Self-Test and an Integrated Multi-Dimensional Optimization Platform

Nowadays, the rapid development of system-on-chip (SoC) market introduces tremendous complexity into the integrated circuit (IC) design. Meanwhile, the IC fabrication process is scaling down to allow higher density of integration but makes the chips more sensitive to the process-voltage-temperature (PVT) variations. A successful IC product not only imposes great pressure on the IC designers, who have to handle wider variations and enforce more design margins, but also challenges the test procedure, leading to more check points and longer test time. To relax the designers’ burden and reduce the cost of testing, it is valuable to make the IC chips able to test and tune itself to some extent. In this dissertation, a fully integrated in-situ design validation and optimization (VO) hardware for analog circuits is proposed. It implements in-situ built-in self-test (BIST) techniques for analog circuits. Based on the data collected from BIST, the error between the measured and the desired performance of the target circuit is evaluated using a cost function. A digital multi-dimensional optimization engine is implemented to adaptively adjust the analog circuit parameters, seeking the minimum value of the cost function and achieving the desired performance. To verify this concept, study cases of a 2nd/4th active-RC band-pass filter (BPF) and a 2nd order Gm-C BPF, as well as all BIST and optimization blocks, are adopted on-chip. Apart from the VO system, several improved BIST techniques are also proposed in this dissertation. A single-tone sinusoidal waveform generator based on a finite-impulse-response (FIR) architecture, which utilizes an optimization algorithm to enhance its spur free dynamic range (SFDR), is proposed. It achieves an SFDR of 59 to 70 dBc from 150 to 850 MHz after the optimization procedure. A low-distortion current-steering two-tone sinusoidal signal synthesizer based on a mixing-FIR architecture is also proposed. The two-tone synthesizer extends the FIR architecture to two stages and implements an up-conversion mixer to generate the two tones, achieving better than -68 dBc IM3 below 480 MHz LO frequency without calibration. Moreover, an on-chip RF receiver linearity BIST methodology for continuous and discrete-time hybrid baseband chain is proposed. The proposed receiver chain implements a charge-domain FIR filter to notch the two excitation signals but expose the third order intermodulation (IM3) tones. It simplifies the linearity measurement procedure–using a power detector is enough to analyze the receiver’s linearity. Finally, a low cost fully digital built-in analog tester for linear-time-invariant (LTI) analog blocks is proposed. It adopts a time-to-digital converter (TDC) to measure the delays corresponded to a ramp excitation signal and is able to estimate the pole or zero locations of a low-pass LTI system

Design of Highly Efficient Analog-To-Digital Converters

The demand of higher data rates in communication systems is reflected in the constant evolution of communication standards. LTE-A and WiFi 802.11ac promote the use of carrier aggregation to increase the data rate of a wireless receiver. Recent DTV receivers promote the concept of full band capture to avoid the implementation of complex analog operations such as: filtering, equalization, modulation/demodulation, etc. All these operations can be implemented in a robust manner in the digital domain. Analog-to-Digital Converters (ADCs) are located at the heart of such architectures and require to have larger bandwidths and higher dynamic ranges. However, at higher data rates the power efficiency of ADCs tends to degrade. Moreover, while the scale of channel length in CMOS devices directly benefits the power, speed and area of digital circuits, analog circuits suffer from lower intrinsic gain and higher device mismatch. Thus, it has been difficult to design high-speed ADCs with low-power operation using traditional architectures without relying on increasingly complex digital calibration algorithms. This research presents three ADCs that introduce novel architectures to relax the specifications of the analog circuits and reduce the complexity of the digital calibration algorithms. A low-pass sigma delta ADC with 15 MHz of bandwidth is introduced. The system uses a low-power 7-bit quantizer from which the four most significant bits are used for the operation of the sigma delta ADC. The remaining three least significant bits are used for the realization of a frequency domain algorithm for quantization noise improvement. The prototype was implemented in 130 nm CMOS technology. For this prototype, the use of the 7-bit quantizer and algorithm improved the SNDR from 69 dB to 75 dB. The obtained FoM was 145 fJ/conversion-step. In a second project, the problem of high power consumption demanded from closed loop operational amplifiers operating at Giga hertz frequency is addressed. Especially the dependency of the power consumption to the closed loop gain. This project presents a low-pass sigma delta ADC with 75 MHz bandwidth. The traditional summing amplifier used for excess loop compensation delay is substituted by a summing amplifier with current buffer that decouples the power consumption dependency with the closed loop gain. The prototype was designed in 40 nm CMOS technology achieving 64.9 dB peak SNDR. The operating frequency was 3.2 GHz, the total power consumption was 22 mW and FoM of 106 fJ/conversion-step. In a third project, the same approach of decoupling the power consumption requirements from the closed loop gain is applied to a pipelined ADC. The traditional capacitive multiplying DAC used in the residual amplifier is substituted by a current mode DAC and a transimpedance amplifier. The prototype was implemented in 40 nm CMOS technology achieving 58 dB peak SNDR and 76 dB SFDR with 200 MHz sampling frequency. The ADC consumes 8.4 mW with a FoM of 64 fJ/Conversion-step

Low Power Analog to Digital Converters in Advanced CMOS Technology Nodes

The dissertation presents system and circuit solutions to improve the power efficiency and address high-speed design issues of ADCs in advanced CMOS technologies. For image sensor applications, a high-performance digitizer prototype based on column-parallel single-slope ADC (SS-ADC) topology for readout of a back-illuminated 3D-stacked CMOS image sensor is presented. To address the high power consumption issue in high-speed digital counters, a passing window (PW) based hybrid counter topology is proposed. To address the high column FPN under bright illumination conditions, a double auto-zeroing (AZ) scheme is proposed. The proposed techniques are experimentally verified in a prototype chip designed and fabricated in the TSMC 40 nm low-power CMOS process. The PW technique saves 52.8% of power consumption in the hybrid digital counters. Dark/bright column fixed pattern noise (FPN) of 0.0024%/0.028% is achieved employing the proposed double AZ technique for digital correlated double sampling (CDS). A single-column digitizer consumes total power of 66.8μW and occupies an area of 5.4 µm x 610 µm. For mobile/wireless receiver applications, this dissertation presents a low-power wide-bandwidth multistage noise-shaping (MASH) continuous-time delta-sigma modulator (CT-ΔΣM) employing finite impulse response (FIR) digital-to-analog converters (DACs) and encoder-embedded loop-unrolling (EELU) quantizers. The proposed MASH 1-1-1 topology is a cascade of three single-loop first-order CT-ΔΣM stages, each of which consists of an active-RC integrator, a current-steering DAC, and an EELU quantizer. An FIR filter in the main 1.5-bit DAC improves the modulator’s jitter sensitivity performance. FIR’s effect on the noise transfer function (NTF) of the modulator is compensated in the digital domain thanks to the MASH topology. Instead of employing a conventional analog direct feedback path, a 1.5-bit EELU quantizer based on multiplexing comparator outputs is proposed; this approach is suitable for highspeed operation together with power and area benefits. Fabricated in a 40-nm low-power CMOS technology, the modulator’s prototype achieves a 67.3 dB of signal-to-noise and distortion ratio (SNDR), 68 dB of signal-to-noise ratio (SNR), and 68.2 dB of dynamic range (DR) within 50.5 MHz of bandwidth (BW), while consuming 19 mW of total power (P). The proposed modulator features 161.5 dB of figure-of-merit (FOM), defined as FOM = SNDR + 10 log10 (BW/P)

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

Architectural Alternatives to Implement High-Performance Delta-Sigma Modulators

RÉSUMÉ Le besoin d’appareils portatifs, de téléphones intelligents et de systèmes microélectroniques implantables médicaux s’accroît remarquablement. Cependant, l’optimisation de l’alimentation de tous ces appareils électroniques portables est l’un des principaux défis en raison du manque de piles à grande capacité utilisées pour les alimenter. C’est un fait bien établi que le convertisseur analogique-numérique (CAN) est l’un des blocs les plus critiques de ces appareils et qu’il doit convertir efficacement les signaux analogiques au monde numérique pour effectuer un post-traitement tel que l’extraction de caractéristiques. Parmi les différents types de CAN, les modulateurs Delta Sigma (��M) ont été utilisés dans ces appareils en raison des fonctionnalités alléchantes qu’ils offrent. En raison du suréchantillonnage et pour éloigner le bruit de la bande d’intérêt, un CAN haute résolution peut être obtenu avec les architectures ��. Il offre également un compromis entre la fréquence d’échantillonnage et la résolution, tout en offrant une architecture programmable pour réaliser un CAN flexible. Ces CAN peuvent être implémentés avec des blocs analogiques de faible précision. De plus, ils peuvent être efficacement optimisés au niveau de l’architecture et circuits correspondants. Cette dernière caractéristique a été une motivation pour proposer différentes architectures au fil des ans. Cette thèse contribue à ce sujet en explorant de nouvelles architectures pour optimiser la structure ��M en termes de résolution, de consommation d’énergie et de surface de silicium. Des soucis particuliers doivent également être pris en compte pour faciliter la mise en œuvre du ��M. D’autre part, les nouveaux procédés CMOS de conception et fabrication apportent des améliorations remarquables en termes de vitesse, de taille et de consommation d’énergie lors de la mise en œuvre de circuits numériques. Une telle mise à l’échelle agressive des procédés, rend la conception de blocs analogiques tel que un amplificateur de transconductance opérationnel (OTA), difficile. Par conséquent, des soins spéciaux sont également pris en compte dans cette thèse pour surmonter les problèmes énumérés. Ayant mentionné ci-dessus que cette thèse est principalement composée de deux parties principales. La première concerne les nouvelles architectures implémentées en mode de tension et la seconde partie contient une nouvelle architecture réalisée en mode hybride tension et temps.----------ABSTRACT The need for hand-held devices, smart-phones and medical implantable microelectronic sys-tems, is remarkably growing up. However, keeping all these electronic devices power optimized is one of the main challenges due to the lack of long life-time batteries utilized to power them up. It is a well-established fact that analog-to-digital converter (ADC) is one of the most critical building blocks of such devices and it needs to efficiently convert analog signals to the digital world to perform post processing such as channelizing, feature extraction, etc. Among various type of ADCs, Delta Sigma Modulators (��Ms) have been widely used in those devices due to the tempting features they offer. In fact, due to oversampling and noise-shaping technique a high-resolution ADC can be achieved with �� architectures. It also offers a compromise between sampling frequency and resolution while providing a highly-programmable approach to realize an ADC. Moreover, such ADCs can be implemented with low-precision analog blocks. Last but not the least, they are capable of being effectively power optimized at both architectural and circuit levels. The latter has been a motivation to proposed different architectures over the years.This thesis contributes to this topic by exploring new architectures to effectively optimize the ��M structure in terms of resolution, power consumption and chip area. Special cares must also be taken into account to ease the implementation of the ��M. On the other hand, advanced node CMOS processes bring remarkable improvements in terms of speed, size and power consumption while implementing digital circuits. Such an aggressive process scaling, however, make the design of analog blocks, e.g. operational transconductance amplifiers (OTAs), cumbersome. Therefore, special cares are also taken into account in this thesis to overcome the mentioned issues. Having had above mentioned discussion, this thesis is mainly split in two main categories. First category addresses new architectures implemented in a pure voltage domain and the second category contains new architecture realized in a hybrid voltage and time domain. In doing so, the thesis first focuses on a switched-capacitor implementation of a ��M while presenting an architectural solution to overcome the limitations of the previous approaches. This limitations include a power hungry adder in a conventional feed-forward topology as well as power hungry OTAs

Design of sigma-delta modulators for analog-to-digital conversion intensively using passive circuits

This thesis presents the analysis, design implementation and experimental evaluation of passiveactive discrete-time and continuous-time Sigma-Delta (ΣΔ) modulators (ΣΔMs) analog-todigital converters (ADCs). Two prototype circuits were manufactured. The first one, a discrete-time 2nd-order ΣΔM, was designed in a 130 nm CMOS technology. This prototype confirmed the validity of the ultra incomplete settling (UIS) concept used for implementing the passive integrators. This circuit, clocked at 100 MHz and consuming 298 μW, achieves DR/SNR/SNDR of 78.2/73.9/72.8 dB, respectively, for a signal bandwidth of 300 kHz. This results in a Walden FoMW of 139.3 fJ/conv.-step and Schreier FoMS of 168 dB. The final prototype circuit is a highly area and power efficient ΣΔM using a combination of a cascaded topology, a continuous-time RC loop filter and switched-capacitor feedback paths. The modulator requires only two low gain stages that are based on differential pairs. A systematic design methodology based on genetic algorithm, was used, which allowed decreasing the circuit’s sensitivity to the circuit components’ variations. This continuous-time, 2-1 MASH ΣΔM has been designed in a 65 nm CMOS technology and it occupies an area of just 0.027 mm2. Measurement results show that this modulator achieves a peak SNR/SNDR of 76/72.2 dB and DR of 77dB for an input signal bandwidth of 10 MHz, while dissipating 1.57 mW from a 1 V power supply voltage. The ΣΔM achieves a Walden FoMW of 23.6 fJ/level and a Schreier FoMS of 175 dB. The innovations proposed in this circuit result, both, in the reduction of the power consumption and of the chip size. To the best of the author’s knowledge the circuit achieves the lowest Walden FOMW for ΣΔMs operating at signal bandwidth from 5 MHz to 50 MHz reported to date

High-Bandwidth Voltage-Controlled Oscillator based architectures for Analog-to-Digital Conversion

The purpose of this thesis is the proposal and implementation of data conversion open-loop architectures based on voltage-controlled oscillators (VCOs) built with ring oscillators (RO-based ADCs), suitable for highly digital designs, scalable to the newest complementary metal-oxide-semiconductor (CMOS) nodes. The scaling of the design technologies into the nanometer range imposes the reduction of the supply voltage towards small and power-efficient architectures, leading to lower voltage overhead of the transistors. Additionally, phenomena like a lower intrinsic gain, inherent noise, and parasitic effects (mismatch between devices and PVT variations) make the design of classic structures for ADCs more challenging. In recent years, time-encoded A/D conversion has gained relevant popularity due to the possibility of being implemented with mostly digital structures. Within this trend, VCOs designed with ring oscillator based topologies have emerged as promising candidates for the conception of new digitization techniques. RO-based data converters show excellent scalability and sensitivity, apart from some other desirable properties, such as inherent quantization noise shaping and implicit anti-aliasing filtering. However, their nonlinearity and the limited time delay achievable in a simple NOT gate drastically limits the resolution of the converter, especially if we focus on wide-band A/D conversion. This thesis proposes new ways to alleviate these issues. Firstly, circuit-based techniques to compensate for the nonlinearity of the ring oscillator are proposed and compared to equivalent state-of-the-art solutions. The proposals are designed and simulated in a 65-nm CMOS node for open-loop RO-based ADC architectures. One of the techniques is also validated experimentally through a prototype. Secondly, new ways to artificially increase the effective oscillation frequency are introduced and validated by simulations. Finally, new approaches to shape the quantization noise and filter the output spectrum of a RO-based ADC are proposed theoretically. In particular, a quadrature RO-based band-pass ADC and a power-efficient Nyquist A/D converter are proposed and validated by simulations. All the techniques proposed in this work are especially devoted for highbandwidth applications, such as Internet-of-Things (IoT) nodes or maximally digital radio receivers. Nevertheless, their field of application is not restricted to them, and could be extended to others like biomedical instrumentation or sensing.El propósito de esta tesis doctoral es la propuesta y la implementación de arquitecturas de conversión de datos basadas en osciladores en anillos, compatibles con diseños mayoritariamente digitales, escalables en los procesos CMOS de fabricación más modernos donde las estructuras digitales se ven favorecidas. La miniaturización de las tecnologías CMOS de diseño lleva consigo la reducción de la tensión de alimentación para el desarrollo de arquitecturas pequeñas y eficientes en potencia. Esto reduce significativamente la disponibilidad de tensión para saturar transistores, lo que añadido a una ganancia cada vez menor de los mismos, ruido y efectos parásitos como el “mismatch” y las variaciones de proceso, tensión y temperatura han llevado a que sea cada vez más complejo el diseño de estructuras analógicas eficientes. Durante los últimos años la conversión A/D basada en codificación temporal ha ganado gran popularidad dado que permite la implementación de estructuras mayoritariamente digitales. Como parte de esta evolución, los osciladores controlados por tensión diseñados con topologías de oscilador en anillo han surgido como un candidato prometedor para la concepción de nuevas técnicas de digitalización. Los convertidores de datos basados en osciladores en anillo son extremadamente sensibles (variación de frecuencia con respecto a la señal de entrada) así como escalables, además de otras propiedades muy atractivas, como el conformado espectral de ruido de cuantificación y el filtrado “anti-aliasing”. Sin embargo, su respuesta no lineal y el limitado tiempo de retraso alcanzable por una compuerta NOT restringen la resolución del conversor, especialmente para conversión A/D en aplicaciones de elevado ancho de banda. Esta tesis doctoral propone nuevas técnicas para aliviar este tipo de problemas. En primer lugar, se proponen técnicas basadas en circuito para compensar el efecto de la no linealidad en los osciladores en anillo, y se comparan con soluciones equivalentes ya publicadas. Las propuestas se diseñan y simulan en tecnología CMOS de 65 nm para arquitecturas en lazo abierto. Una de estas técnicas presentadas es también validada experimentalmente a través de un prototipo. En segundo lugar, se introducen y validan por simulación varias formas de incrementar artificialmente la frecuencia de oscilación efectiva. Para finalizar, se proponen teóricamente dos enfoques para configurar nuevas formas de conformación del ruido de cuantificación y filtrado del espectro de salida de los datos digitales. En particular, son propuestos y validados por simulación un ADC pasobanda en cuadratura de fase y un ADC de Nyquist de gran eficiencia en potencia. Todas las técnicas propuestas en este trabajo están destinadas especialmente para aplicaciones de alto ancho de banda, tales como módulos para el Internet de las cosas o receptores de radiofrecuencia mayoritariamente digitales. A pesar de ello, son extrapolables también a otros campos como el de la instrumentación biomédica o el de la medición de señales mediante sensores.Programa de Doctorado en Ingeniería Eléctrica, Electrónica y Automática por la Universidad Carlos III de MadridPresidente: Juan Pablo Alegre Pérez.- Secretario: Celia López Ongil.- Vocal: Fernando Cardes Garcí