Jitter-Tolerance and Blocker-Tolerance of Delta-Sigma Analog-to-Digital Converters for Saw-Less Multi-Standard Receivers

The quest for multi-standard and software-defined radio (SDR) receivers calls for high flexibility in the receiver building-blocks so that to accommodate several wireless services using a single receiver chain in mobile handsets. A potential approach to achieve flexibility in the receiver is to move the analog-to-digital converter (ADC) closer to the antenna so that to exploit the enormous advances in digital signal processing, in terms of technology scaling, speed, and programmability. In this context, continuous-time (CT) delta-sigma (ΔƩ) ADCs show up as an attractive option. CT ΔƩ ADCs have gained significant attention in wideband receivers, owing to their amenability to operate at a higher-speed with lower power consumption compared to discrete-time (DT) implementations, inherent anti-aliasing, and robustness to sampling errors in the loop quantizer. However, as the ADC moves closer to the antenna, several blockers and interferers are present at the ADC input. Thus, it is important to investigate the sensitivities of CT ΔƩ ADCs to out-of-band (OOB) blockers and find the design considerations and solutions needed to maintain the performance of CT ΔƩ modulators in presence of OOB blockers. Also, CT ΔƩ modulators suffer from a critical limitation due to their high sensitivity to the clock-jitter in the feedback digital-to-analog converter (DAC) sampling-clock. In this context, the research work presented in this thesis is divided into two main parts. First, the effects of OOB blockers on the performance of CT ΔƩ modulators are investigated and analyzed through a detailed study. A potential solution is proposed to alleviate the effect of noise folding caused by intermodulation between OOB blockers and shaped quantization noise at the modulator input stage through current-mode integration. Second, a novel DAC solution that achieves tolerance to pulse-width jitter by spectrally shaping the jitter induced errors is presented. This jitter-tolerant DAC doesn’t add extra requirements on the slew-rate or the gain-bandwidth product of the loop filter amplifiers. The proposed DAC was implemented in a 90nm CMOS prototype chip and provided a measured attenuation for in-band jitter induced noise by 26.7dB and in-band DAC noise by 5dB, compared to conventional current-steering DAC, and consumes 719µwatts from 1.3V supply

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

Design and implementation of a wideband sigma delta ADC

Abstract. High-speed and wideband ADCs have become increasingly important in response to the growing demand for high-speed wireless communication services. Continuous time sigma delta modulators (CTƩ∆M), well-known for their oversampling and noise shaping properties, offer a promising solution for low-power and high-speed design in wireless applications. The objective of this thesis is to design and implement a wideband CTƩ∆M for a global navigation satellite system(GNSS) receiver. The targeted modulator architecture is a 3rdorder single-bit CTƩ∆M, specifically designed to operate within a 15 MHz signal bandwidth. With an oversampling ratio of 25, the ADC’s sampling frequency is set at 768 MHz. The design goal is to achieve a theoretical signal to noise ratio (SNR) of 55 dB. This thesis focuses on the design and implementation of the CTƩ∆M, building upon the principles of a discrete time Ʃ∆ modulator, and leveraging system-level simulation and formulations. A detailed explanation of the coefficient calculation procedure specific to CTƩ∆ modulators is provided, along with a "top-down" design approach that ensures the specified requirements are met. MATLAB scripts for coefficient calculation are also included. To overcome the challenges associated with the implementation of CTƩ∆ modulators, particularly excess loop delay and clock jitter sensitivity, this thesis explores two key strategies: the introduction of a delay compensation path and the utilization of a finite impulse response (FIR) feedback DAC. By incorporating a delay compensation path, the stability of the modulator can be ensured and its noise transfer function (NTF) can be restored. Additionally, the integration of an FIR feedback DAC addresses the issue of clock jitter sensitivity, enhancing the overall performance and robustness of the CTƩ∆M. The CTƩ∆Ms employ the cascade of integrators with feed forward (CIFF) and cascade of integrators with feedforward and feedback (CIFF-B) topologies, with a particular emphasis on the CIFF-B configuration using 22nm CMOS technology node and a supply voltage of 0.8 V. Various simulations are performed to validate the modulator’s performance. The simulation results demonstrate an achievable SNR of 55 dB with a power consumption of 1.36 mW. Furthermore, the adoption of NTF zero optimization techniques enhances the SNR to 62 dB.Laajakaistaisen jatkuva-aikaisen sigma delta-AD-muuntimen suunnittelu ja toteutus. Tiivistelmä. Nopeat ja laajakaistaiset AD-muuntimet ovat tulleet entistä tärkeämmiksi nopeiden langattomien kommunikaatiopalvelujen kysynnän kasvaessa. Jatkuva-aikaiset sigma delta -modulaattorit (CTƩ∆M), joissa käytetään ylinäytteistystä ja kohinanmuokkausta, tarjoavat lupaavan ratkaisun matalan tehonkulutuksen ja nopeiden langattomien sovellusten suunnitteluun. Tämän työn tarkoituksena on suunnitella ja toteuttaa laajakaistainen jatkuva -aikainen sigma delta -modulaattori satelliittipaikannusjärjestelmien (GNSS) vastaanottimeen. Arkkitehtuuriltaan modulaattori on kolmannen asteen 1-bittinen CTƩ∆M, jolla on 15MHz:n signaalikaistanleveys. Ylinäytteistyssuhde on 25 ja AD muuntimen näytteistystaajuus 768 MHz. Tavoitteena on saavuttaa teoreettinen 55 dB signaalikohinasuhde (SNR). Tämä työ keskittyy jatkuva-aikaisen sigma delta -modulaattorin suunnitteluun ja toteutukseen, perustuen diskreettiaikaisen Ʃ∆-modulaattorin periaatteisiin ja systeemitason simulointiin ja mallitukseen. Jatkuva-aikaisen sigma delta -modulaattorin kertoimien laskentamenetelmä esitetään yksityiskohtaisesti, ja vaatimusten täyttyminen varmistetaan “top-down” -suunnitteluperiaatteella. Liitteenä on kertoimien laskemiseen käytetty MATLAB-koodi. Jatkuva-aikaisten sigma delta -modulaattoreiden erityishaasteiden, liian pitkän silmukkaviiveen ja kellojitterin herkkyyden, voittamiseksi tutkitaan kahta strategiaa, viiveen kompensointipolkua ja FIR takaisinkytkentä -DA muunninta. Viivekompensointipolkua käyttämällä modulaattorin stabiilisuus ja kohinansuodatusfunktio saadaan varmistettua ja korjattua. Lisäksi FIR takaisinkytkentä -DA-muuntimen käyttö pienentää kellojitteriherkkyyttä, parantaen jatkuva aikaisen sigma delta -modulaattorin kokonaissuorituskykyä ja luotettavuutta. Toteutetuissa jatkuva-aikaisissa sigma delta -modulaattoreissa on kytketty peräkkäin integraattoreita myötäkytkentärakenteella (CIFF) ja toisessa sekä myötä- että takaisinkytkentärakenteella (CIFF-B). Päähuomio on CIFF-B rakenteessa, joka toteutetaan 22nm CMOS prosessissa käyttäen 0.8 voltin käyttöjännitettä. Suorityskyky varmistetaan erilaisilla simuloinneilla, joiden perusteella 55 dB SNR saavutetaan 1.36 mW tehonkulutuksella. Lisäksi kohinanmuokkausfunktion optimoinnilla SNR saadaan nostettua 62 desibeliin

Design Considerations for Wide Bandwidth Continuous-Time Low-Pass Delta-Sigma Analog-to-Digital Converters

Continuous-time (CT) delta-sigma (ΔΣ) analog-to-digital converters (ADC) have emerged as the popular choice to achieve high resolution and large bandwidth due to their low cost, power efficiency, inherent anti-alias filtering and digital post processing capabilities. This work presents a detailed system-level design methodology for a low-power CT ΔΣ ADC. Design considerations and trade-offs at the system-level are presented. A novel technique to reduce the sensitivity of the proposed ADC to clock jitter-induced feedback charge variations by employing a hybrid digital-to-analog converter (DAC) based on switched-capacitor circuits is also presented. The proposed technique provides a clock jitter tolerance of up to 5ps (rms). The system is implemented using a 5th order active-RC loop filter, 9-level quantizer and DAC, achieving 74dB SNDR over 20MHz signal bandwidth, at 400MHz sampling frequency in a 1.2V, 90 nm CMOS technology. A novel technique to improve the linearity of the feedback digital-to-analog converters (DAC) in a target 11-bits resolution, 100MHz bandwidth, 2GHz sampling frequency CT ΔΣ ADC is also presented in this work. DAC linearity is improved by combining dynamic element matching and automatic background calibration to achieve up to 18dB improvement in the SNR. Transistor-level circuit implementation of the proposed technique was done in a 1.8V, 0.18μm BiCMOS process

The effects of excess loop delay in continuous-time sigma-delta modulators

Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2005.Includes bibliographical references (p. 79-80).Continuous-time sigma-delta (CT-Sigma Delta) modulators have recently received great attention in the academia as well as in the industry. Despite the improved understanding of the operation of CT-Sigma Delta modulators, the problem due to excess loop delay that arises from timing mismatch and parasitic delay still remains unsolved. Thus, the thesis investigates the effects of the excess loop delay. In specific, the sensitivity of various CT-Sigma Delta topologies to the excess loop delay is explored by converting the CT modulators to its DT equivalents and realizing loop filters in state-space representations in MATLAB ©.by Hyunjoo Jenny Lee.M.Eng

Wide-bandwidth, high-resolution delta-sigma analog-to-digital converters

There is a significant need in recent mobile communication and wireless broadband systems for high-performance analog-to-digital converters (ADCs) that have wide bandwidth (BW>5-MHz) and high data rate (>100-Mbps). A delta-sigma ADC is recognized as a power-efficient ADC architecture when high resolution (>12-b) is required. This is due to several advantages of the delta-sigma ADC including relaxed anti-aliasing filter requirements, high signal-to-noise and distortion ratio (SNDR) and most importantly, reduced sensitivity to analog imperfections. In this thesis, several structures and design techniques are developed for the implementation of continuoustime (CT) and discrete-time (DT) delta-sigma ADCs. These techniques save the total power consumption, reduce the design complexity, and decrease the chip die area of delta-sigma modulators. First a 4th-order single stage CT delta-sigma ADC with a novel single-amplifier-biquad (SAB) based loop filter is presented. By utilizing the SAB networks in the loop filter of an Nth-order CT delta-sigma modulator, it requires only half the number of active amplifiers and feed-forward branches used in the conventional modulator architecture, thus decreasing the power consumption and area by reducing the number of amplifiers. The proposed scheme also enables the modulator to use a switch-capacitor (SC) adder due to the reduced number of feedforward branches to its summing block. As a sequence, it consumes less power compared to a conventional CT adder. With a 130-nm CMOS technology, the fabricated prototype IC achieves a dynamic range of 80 dB with 10 MHz signal bandwidth and analog power dissipation lower than 12 mW. Presented as the second scheme to save power consumption and chip die area in ΔΣ modulators is a new stage-sharing technique in a discrete-time 2-2 MASH ΔΣ ADC. The proposed technique shares all the active blocks of the modulator second stage with its first stage during the two non-overlapping clock phases. Measurement results show that the modulator designed in a 0.13-um CMOS technology achieves 76 dB SNDR over a 10 MHz conversion bandwidth dissipating less than 9 mW analog power

A survey on continuous-time modulators : theory, designs and implementations

Recently, delta-sigma modulation has become a widely applied technique for high-performance analog-to-digital conversion of narrow-band signals. Most of the early designs used discrete-time structure for good accuracy and good linearity. The transfer functions are independent of the clock frequency. However, high unity-gain bandwidths of the opamps are required to satisfy the settling accuracy required in the discrete-time designs. Continuous-time structure can potentially achieve higher clock frequency with less power consumption. the anti-aliasing filter can also be eliminated due to the anti-aliasing property of CT modulators. On the other hand, CT ADC have their own problems, such as jitter sensitivity and excess loop delay. In this thesis, the state-of-the-art of CT modulator is reviewed. The problems in the design of CT ADCs are analyzed and solutions to them are described. The theory, design and implementations of CT modulator will also be reviewed.Keywords: Continuous-Time, Delta-Sigm

Jitter Tolerant Hybrid Sigma-Delta Modulator

Commonly used in wireless applications and consumer products, Continuous-time (CT) Sigma Delta (Σ∆) Analog to Digital Converter (ADC) stands out for its high resolution, less input signal conditioning and large incorporating with digital signal processing. The clock jitter impact on CT Σ∆ ADC is a critical issue as it will directly increase the noise floor within signal bandwidth. Thus, reducing jitter sensitivity is beneficial for improving the performance of CT Σ∆ ADC. This thesis presents a novel idea of reducing CT Σ∆ ADC jitter sensitivity by splitting one stage of continuous-time integrator into two parts - a gain stage and a digital low-pass filter. The gain stage remains prior to quantizer for compensating the loss of loop gain when removing the original continuous-time integrator. The digital filter is placed at the output of quantizer to suppress the out-of-band noise level. This hybrid Σ∆ ADC is implemented with two configurations in system level with TSMC 40nm CMOS technology at 20 MHz bandwidth and 640 MHz sampling frequency. The maximum SNR of the hybrid Σ∆ ADC is 69.18 dB. The proposed ADC achieves the maximum of 14 dB better SQNR than the conventional CT Σ∆ ADC at RMS jitter as high as 10% of the clock period. A negative resistor gain boosting single stage amplifier is also presented in this thesis