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

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

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

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

Time-based noise-shaping techniques for time-to-digital and analog-to-digital converters

In this dissertation, time-based signal processing techniques and their applications in oversampling and noise-shaping data converters are examined. These techniques demonstrate the ability to shift the burden of high performance analog circuits from the compressed voltage-domain to the augmented time-domain. First, the potential of high order noise-shaping and phase-domain feedback in time-to-digital converters (TDCs) is explored. A prototype phase reference, second-order continuous-time delta-sigma TDC for sensor applications was fabricated in 90nm CMOS and achieves 64 dB dynamic range in 1MHz signal bandwidth. Second, an ultra-high performance oscillator-based delta-sigma modulator architecture is investigated. The proposed circuit is a third-order continuous-time PLL-Based Delta-Sigma Modulator with simulated 77 dB SNDR in 40MHz signal bandwidth with OSR of 16, and is fabricated in 65nm CMOS

Design of a 14-bit fully differential discrete time delta-sigma modulator

Analog to digital converters play an essential role in modern mixed signal circuit design. Conventional Nyquist-rate converters require analog components that are precise and highly immune to noise and interference. In contrast, oversampling converters can be implemented using simple and high-tolerance analog components. Moreover, sampling at high frequency eliminates the need for abrupt cutoffs in the analog anti-aliasing filters. A noise shaping technique is also used in DS converters in addition to oversampling to achieve a high resolution conversion. A significant advantage of the method is that analog signals are converted using simple and high-tolerance analog circuits, usually a 1-bit comparator, and analog signal processing circuits having a precision that is usually much less than the resolution of the overall converter. In this thesis, a technique to design the discrete time DS converters for 25 kHz baseband signal bandwidth will be described. The noise shaping is achieved using a switched capacitor low-pass integrator around the 1-bit quantizer loop. A latched-type comparator is used as the quantizer of the DS converter. A second order DS modulator is implemented in a TSMC 0.35 µm CMOS technology using a 3.3 V power supply. The peak signal-to-noise ratio (SNR) simulated is 87 dB; the SNDR simulated is 82 dB which corresponds to a resolution of 14 bits. The total static power dissipation is 6.6 mW

High-Speed Delta-Sigma Data Converters for Next-Generation Wireless Communication

In recent years, Continuous-time Delta-Sigma(CT-ΔΣ) analog-to-digital converters (ADCs) have been extensively investigated for their use in wireless receivers to achieve conversion bandwidths greater than 15 MHz and higher resolution of 10 to 14 bits. This dissertation investigates the current state-of-the-art high-speed single-bit and multi-bit Continuous-time Delta-Sigma modulator (CT-ΔΣM) designs and their limitations due to circuit non-idealities in achieving the performance required for next-generation wireless standards. Also, we presented complete architectural and circuit details of a high-speed single-bit and multi-bit CT-ΔΣM operating at a sampling rate of 1.25 GSps and 640 MSps respectively (the highest reported sampling rate in a 0.13 μm CMOS technology node) with measurement results. Further, we propose novel hybrid ΔΣ architecture with two-step quantizer to alleviate the bandwidth and resolution bottlenecks associated with the contemporary CT-ΔΣM topologies. To facilitate the design with the proposed architecture, a robust systematic design method is introduced to determine the loop-filter coefficients by taking into account the non-ideal integrator response, such as the finite opamp gain and the presence of multiple parasitic poles and zeros. Further, comprehensive system-level simulation is presented to analyze the effect of two-step quantizer non-idealities such as the offset and gain error in the sub-ADCs, and the current mismatch between the MSB and LSB elements in the feedback DAC. The proposed novel architecture is demonstrated by designing a high-speed wideband 4th order CT-ΔΣ modulator prototype, employing a two-step quantizer with 5-bits resolution. The proposed modulator takes advantage of the combination of a high-resolution two-step quantization technique and an excess-loop delay (ELD) compensation of more than one clock cycle to achieve lower-power consumption (28 mW), higher dynamic range (\u3e69 dB) with a wide conversion bandwidth (20 MHz), even at a lower sampling rate of 400 MHz. The proposed modulator achieves a Figure of Merit (FoM) of 340 fJ/level

Linearizing techniques for voltage controlled oscillator based analog to digital converters

Voltage controlled oscillator (VCO) based ADC is an important class of time-domain ADC that has gained widespread acceptance due to their several desirable properties. VCO-based ADCs behave like an open-loop continuous time ΔΣ modulator and achieve excellent resolution by first order noise shaping the quantization error. However, the SNDR of an open-loop VCO-based ADC is severely distortion limited by the voltage-to-frequency tuning characteristics of the VCO. This work examines various techniques that have already been proposed to overcome the VCO tuning non-linearity problem. Two new VCO-based ADC architectures, that overcome the limitations of the conventional approaches, are proposed. In the first approach, the ADC is linearized by forcing the VCO to operate at only two operating points using a front-end two level modulator. With this technique, the linearity is improved without using either a multi-bit feedback DAC or calibration. Fabricated in a 90 nm CMOS process, the prototype ADC achieves better than 71 dB SFDR and 59.1 dB SNDR in 8 MHz signal bandwidth while consuming 4.3 mW power. The ADC achieves a figure of merit of 366 fJ/conv-step, which is comparable with other state of the art time based ADCs. In the second approach, the need for a front-end two level modulator is obviated using linearizers, which introduce an inverse of VCO’s voltage to frequency characteristics in the signal path. A deterministic digital calibration unit runs continuously in the background and builds the inverse voltage to frequency transfer function. Implemented in a 90nm CMOS process, this on-chip calibration improves SFDR of the prototype ADC from 46 dB to more than 83 dB. The ADC consumes 4.1 mW power and achieves 73.9 dB SNDR in 5 MHz signal bandwidth resulting in an excellent figure of merit of 101 fJ/conv-step