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

A 10-b Fourth-Order Quadrature Bandpass Continuous-Time ΣΔ Modulator With 33-MHz Bandwidth for a Dual-Channel GNSS Receiver

This document is the Accepted Manuscript version of the following article: Junfeng Zhang, Yang Xu, Zehong Zhang, Yichuang Sun, Zhihua Wang, and Baoyong Chi, ‘A 10-b Fourth-Order Quadrature Bandpass Continuous-Time ΣΔ Modulator With 33-MHz Bandwidth for a Dual-Channel GNSS Receiver’, IEEE Transactions on Microwave Theory and Practice, Vol. 65 (4): 1303-1314, first published online 16 February 2017. The version of record is available online at DOI: 10.1109/TMTT.2017.266237, Published by IEEE. © 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.A fourth-order quadrature bandpass continuous-time sigma-delta modulator for a dual-channel global navigation satellite system (GNSS) receiver is presented. With a bandwidth (BW) of 33 MHz, the modulator is able to digitalize the downconverted GNSS signals in two adjacent signal bands simultaneously, realizing dual-channel GNSS reception with one receiver channel instead of two independent receiver channels. To maintain the loop-stability of the high-order architecture, any extra loop phase shifting should be minimized. In the system architecture, a feedback and feedforward hybrid architecture is used to implement the fourth-order loop-filter, and a return-to-zero (RZ) feedback after the discrete-time differential operation is introduced into the input of the final integrator to realize the excess loop delay compensation, saving a spare summing amplifier. In the circuit implementation, power-efficient amplifiers with high-frequency active feedforward and antipole-splitting techniques are employed in the active RC integrators, and self-calibrated comparators are used to implement the low-power 3-b quantizers. These power saving techniques help achieve superior figure of merit for the presented modulator. With a sampling rate of 460 MHz, current-steering digital-analog converters are chosen to guarantee high conversion speed. Implemented in only 180-nm CMOS, the modulator achieves 62.1-dB peak signal to noise and distortion ratio, 64-dB dynamic range, and 59.3-dB image rejection ratio, with a BW of 33 MHz, and consumes 54.4 mW from a 1.8 V power supply.Peer reviewe

Efficient offline outer/inner DAC mismatch calibration in wideband ΔΣ ADCs

Distortion due to feedback DAC mismatch is a key limitation in Delta Sigma ADCs for wideband wireless communications. This article presents an efficient frequency-domain mask-based offline mismatch calibration method of both the outer DAC and the inner DACs in a Delta Sigma ADC. The test stimulus for the calibration is a two-tone signal near the band edge. To avoid the need for high-performance signal generation, a frequency mask is applied to void the stimulus signal and its phase noise. In this way, the method is robust against distortion and jitter in the stimulus signal, which therefore could be combined from two low-quality signal generators. The two-tone band-edge signal has the additional benefit that the number of needed samples of the excitation signal is very modest because as many intermodulations as possible contribute to the calculation of the mismatch errors of the DACs. Experimental results confirming the calibration method are obtained from a prototype chip, designed for an 85MHz signal bandwidth in 28nm CMOS technology. A two-tone stimulus around 78 MHz is applied to calculate the mismatch of the outer DAC and the inner DAC with only 68K samples. With the DACs calibrated, an SFDR improvement of 28.1 dB is achieved for a single-tone input at 5 MHz, while for a two-tone input around 71 MHz, the IM3 is improved from -63.6 dBc to below the noise floor (<-94.1 dBc). This illustrates the effectiveness of the approach

Multi-Stage Noise-Shaping Continuous-Time Sigma-Delta Modulator

The design of a single-loop continuous-time ∑∆ modulator (CT∑∆M) with high resolution, wide bandwidth, and low power consumption is very challenging. The multi-stage noise-shaping (MASH) CT∑∆M architecture is identified as an advancement to the single-loop CT∑∆M architecture in order to satisfy the ever stringent requirements of next generation wireless systems. However, it suffers from the problems of quantization noise leakage and non-ideal interstage interfacing which hinder its widespread adoption. To solve these issues, this dissertation proposes a MASH CT∑∆M with on-chip RC time constant calibration circuits, multiple feedforward interstage paths, and a fully integrated noise cancellation filter (NCF). The prototype core modulator architecture is a cascade of two single-loop second- order CT∑∆M stages, each of which consists of an integrator-based active-RC loop filter, current-steering feedback digital-to-analog converters, and a four-bit flash quantizer. On-chip RC time constant calibration circuits and high gain multi-stage operational amplifiers are realized to mitigate quantization noise leakage due to process variation. Multiple feedforward interstage paths are introduced to (i) synthesize a fourth-order noise transfer function with DC zeros, (ii) simplify the design of NCF, and (iii) reduce signal swings at the second-stage integrator outputs. Fully integrated in 40 nm CMOS, the prototype chip achieves 74.4 dB of signal-to-noise and distortion ratio (SNDR), 75.8 dB of signal-to-noise ratio, and 76.8 dB of dynamic range in 50.3 MHz of bandwidth (BW) at 1 GHz of sampling frequency with 43.0 mW of power consumption (P). It does not require external software calibration and possesses minimal out-of-band signal transfer function peaking. The figure-of-merit (FOM), defined as FOM = SNDR + 10 log10(BW/P), is 165.1 dB

Oversampled analog-to-digital converter architectures based on pulse frequency modulation

Mención Internacional en el título de doctorThe purpose of this research work is providing new insights in the development of voltage-controlled oscillator based analog-to-digital converters (VCO-based ADCs). Time-encoding based ADCs have become of great interest to the designer community due to the possibility of implementing mostly digital circuits, which are well suited for current deep-submicron CMOS processes. Within this topic, VCO-based ADCs are one of the most promising candidates. VCO-based ADCs have typically been analyzed considering the output phase of the oscillator as a state variable, similar to the state variables considered in __ modulation loops. Although this assumption might take us to functional designs (as verified by literature), it does not take into account neither the oscillation parameters of the VCO nor the deterministic nature of quantization noise. To overcome this issue, we propose an interpretation of these type of systems based on the pulse frequency modulation (PFM) theory. This permits us to analytically calculate the quantization noise, in terms of the working parameters of the system. We also propose a linear model that applies to VCO-based systems. Thanks to it, we can determine the different error processes involved in the digitization of the input data, and the performance limitations which these processes direct to. A generic model for any order open-loop VCO-based ADCs is made based on the PFM theory. However, we will see that only the first-order case and a second order approximation can be implemented in practice. The PFM theory also allows us to propose novel approaches to both single-stage and multistage VCObased architectures. We describe open-loop architectures such as VCO-based architectures with digital precoding, PFM-based architectures that can be used as efficient ADCs or MASH architectures with optimal noise-transfer-function (NTF) zeros. We also make a first approach to the proposal and analysis of closed loop architectures. At the same time, we deal with one of the main limitations of VCOs (especially those built with ring oscillators), which is the non-linear voltage to- frequency relation. In this document, we describe two techniques mitigate this phenomenon. Firstly, we propose to use a pulse width modulator in front of the VCO. This way, there are only two possible oscillation states. Consequently, the oscillator works linearly. To validate the proposed technique, an experimental prototype was implemented in a 40-nm CMOS process. The chip showed noise problems that degraded the expected resolution, but allowed us to verify that the potential performance was close to the expected one. A potential signal-to-noise-distortion ratio (SNDR) equal to 56 dB was achieved in 20 MHz bandwidth, consuming 2.15 mW with an occupied area equal to 0.03 mm2. In comparison to other equivalent systems, the proposed architecture is simpler, while keeping similar power consumption and linearity properties. Secondly, we used a pulse frequency modulator to implement a second ADC. The proposed architecture is intrinsically linear and uses a digital delay line to increase the resolution of the converter. One experimental prototype was implemented in a 40-nm CMOS process using one of these architectures. Proper results were measured from this prototype. These results allowed us to verify that the PFM-based architecture could be used as an efficient ADC. The measured peak SNDR was equal to 53 dB in 20 MHz bandwidth, consuming 3.5 mW with an occupied area equal to 0.08 mm2. The architecture shows a great linearity, and in comparison to related work, it consumes less power and occupies similar area. In general, the theoretical analyses and the architectures proposed in the document are not restricted to any application. Nevertheless, in the case of the experimental chips, the specifications required for these converters were linked to communication applications (e.g. VDSL, VDSL2, or even G.fast), which means medium resolution (9-10 bits), high bandwidth (20 MHz), low power and low area.El propósito del trabajo presentado en este documento es aportar una nueva perspectiva para el diseño de convertidores analógico-digitales basados en osciladores controlados por tensión. Los convertidores analógico-digitales con codificación temporal han llamado la atención durante los últimos años de la comunidad de diseñadores debido a la posibilidad de implementarlos en su gran mayoría con circuitos digitales, los cuales son muy apropiados para los procesos de diseño manométricos. En este ámbito, los convertidores analógico-digitales basados en osciladores controlados por tensión son uno de los candidatos más prometedores. Los convertidores analógico-digitales basados en osciladores controlados por tensión han sido típicamente analizados considerando que la fase del oscilador es una variable de estado similar a las que se observan en los moduladores __. Aunque esta consideración puede llevarnos a diseños funcionales (como se puede apreciar en muchos artículos de la literatura), en ella no se tiene en cuenta ni los parámetros de oscilación ni la naturaleza determinística del ruido de cuantificación. Para solventar esta cuestión, en este documento se propone una interpretación alternativa de este tipo de sistemas haciendo uso de la teoría de la modulación por frecuencia de pulsos. Esto nos permite calcular de forma analítica las ecuaciones que modelan el ruido de cuantificación en función de los parámetros de oscilación. Se propone también un modelo lineal para el análisis de convertidores analógico-digitales basados en osciladores controlados por tensión. Este modelo permite determinar las diferentes fuentes de error que se producen durante el proceso de digitalización de los datos de entrada y las limitaciones que suponen. Un modelo genérico de convertidor de cualquier orden se propone con la ayuda de este modelo. Sin embargo, solo los casos de primer orden y una aproximación al caso de segundo orden se pueden implementar en la práctica. La teoría de la modulación por frecuencia de pulsos también permite nuevas perspectivas para la propuesta y el análisis tanto de arquitecturas de una sola etapa como de arquitecturas de varias etapas construidas con osciladores controlados por tensión. Se proponen y se describen arquitecturas en lazo abierto como son las basadas en osciladores controlador por tensión con moduladores digitales en la etapa de entrada, moduladores por frecuencia de pulsos que se utilizan como convertidores analógico-digitales eficientes o arquitecturas en cascada en las que se optimizan la distribución de los ceros en la función de transferencia del ruido. También se realiza una aproximación a la propuesta y el análisis de arquitecturas en lazo cerrado. Al mismo tiempo, se aborda una de las problemáticas más importantes de los osciladores controlados por tensión (especialmente en aquellos implementados mediante osciladores en anillo): la relación tensión-freculineal que presentan este tipo de circuitos. En el documento, se describen dos técnicas cuyo objetivo es mitigar esta limitación. La primera técnica de corrección se basa en el uso de un modulador por ancho de pulsos antes del oscilador controlado por tensión. De esta forma, solo existen dos estados de oscilación en el oscilador, se trabaja de forma lineal y no se genera distorsión en los datos de salida. La técnica se propone de forma teórica haciendo uso de la teoría desarrollada previamente. Para llevar a cabo la validación de la propuesta teórica se fabricó un prototipo experimental en un proceso CMOS de 40-nm. El chip mostró problemas de ruido que limitaban la resolución, sin embargo, nos permitió velicar que la resolución ideal que se podrá haber obtenido estaba muy cercana a la resolución esperada. Se obtuvo una potencial relación señal-(ruido-distorsión) igual a 56 dB en 20 MHz de ancho de banda, un consumo de 2.15 mW y un área igual a 0.03 mm2. En comparación con sistemas equivalentes, la arquitectura propuesta es más simple al mismo tiempo que se mantiene el consumo así como la linealidad. A continuación, se propone la implementación de un convertidor analógico digital mediante un modulador por frecuencia de pulsos. La arquitectura propuesta es intrínsecamente lineal y hace uso de una línea de retraso digital con el fin de mejorar la resolución del convertidor. Como parte del trabajo experimental, se fabricó otro chip en tecnología CMOS de 40 nm con dicha arquitectura, de la que se obtuvieron resultados notables. Estos resultados permitieron verificar que la arquitectura propuesta, en efecto, podrá emplearse como convertidor analógico-digital eficiente. La arquitectura consigue una relación real señal-(ruido-distorsión) igual a 53 dB en 20 MHz de ancho de banda, un consumo de 3.5 mW y un área igual a 0.08 mm2. Se obtiene una gran linealidad y, en comparación con arquitecturas equivalentes, el consumo es menor mientras que el área ocupada se mantiene similar. En general, las aportaciones propuestas en este documento se pueden aplicar a cualquier tipo de aplicación, independientemente de los requisitos de resolución, ancho de banda, consumo u área. Sin embargo, en el caso de los prototipos fabricados, las especificaciones se relacionan con el ámbito de las comunicaciones (VDSL, VDSL2, o incluso G.fast), en donde se requiere una resolución media (9-10 bits), alto ancho de banda (20 MHz), manteniendo bajo consumo y baja área ocupada.Programa Oficial de Doctorado en Ingeniería Eléctrica, Electrónica y AutomáticaPresidente: Michael Peter Kennedy.- Secretario: Antonio Jesús López Martín.- Vocal: Jörg Hauptman

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)

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