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

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

Design of a wideband low-power continuous-time sigma-delta (ΣΔ) analog-to-digital converter (ADC) in 90nm CMOS technology

The growing trend in VLSI systems is to shift more signal processing functionality from analog to digital domain to reduce manufacturing cost and improve reliability. It has resulted in the demand for wideband high-resolution analog-to-digital converters (ADCs). There are many different techniques for doing analog-to-digital conversions. Oversampling ADC based on sigma-delta (ΣΔ) modulation is receiving a lot of attention due to its significantly relaxed matching requirements on analog components. Moreover, it does not need a steep roll-off anti-aliasing filter. A ΣΔ ADC can be implemented either as a discrete time system or a continuous time one. Nowadays growing interest is focused on the continuous-time ΣΔ ADC for its use in the wideband and low-power applications, such as medical imaging, portable ultrasound systems, wireless receivers, and test equipments. A continuous-time ΣΔ ADC offers some important advantages over its discrete-time counterpart, including higher sampling frequency, intrinsic anti-alias filtering, much relaxed sampling network requirements, and low-voltage implementation. Especially it has the potential in achieving low power consumption. This dissertation presents a novel fifth-order continuous-time ΣΔ ADC which is implemented in a 90nm CMOS technology with single 1.0-V power supply. To speed up design process, an improved direct design method is proposed and used to design the loop filter transfer function. To maximize the in-band gain provided by the loop filter, thus maximizing in-band noise suppression, the excess loop delay must be kept minimum. In this design, a very low latency 4-bit flash quantizer with digital-to-analog (DAC) trimming is utilized. DAC trimming technique is used to correct the quantizer offset error, which allows minimum-sized transistors to be used for fast and low-power operation. The modulator has sampling clock of 800MHz. It achieves a dynamic range (DR) of 75dB and a signal-to-noise-and-distortion ratio (SNDR) of 70dB over 25MHz input signal bandwidth with 16.4mW power dissipation. Our work is among the most improved published to date. It uses the lowest supply voltage and has the highest input signal bandwidth while dissipating the lowest power among the bandwidths exceeding 15MHz

Arquiteturas paralelas avançadas para transmissores 5G totalmente digitais

The fifth generation of mobile communications (5G) is being prepared and should be rolled out in the early coming years. Massive number of Radio-Frequency (RF) front-ends, peak data rates of 10 Gbps (everywhere and everytime), latencies lower than 10 msec and huge device densities are some of the expected disruptive capabilities. At the same time, previous generations can not be jeopardized, fostering the design of novel flexible and highly integrated radio transceivers able to support the simultaneous transmission of multi-band and multi-standard signals. The concept of all-digital transmission is being pointed out as a promising architecture to cope with such challenging requirements, due to its fully digital radio datapath. This thesis is focused on the proposal and validation of fully integrated and advanced digital transmitter architectures that excel the state-of-the-art in different figures of merit, such as transmission bandwidth, spectral purity, carrier agility, flexibility, and multi-band capability. The first part of this thesis introduces the concept of all-digital RF transmission. In particular, the foundations inherent to this thematic line are given, together with the recent advances reported in the state-of-the-art architectures.The core of this thesis, containing the main developments achieved during the Ph.D. work, is then presented and discussed. The first key contribution to the state-of-the-art is the use of cascaded Delta-Sigma (∆Σ) architectures to relax the analog filtering requirements of the conventional All-Digital Transmitters while maintaining the constant envelope waveform. Then, it is presented the first reported architecture where Antenna Arrays are directly driven by single-chip and single-bit All-Digital Transmitters, with promising results in terms of simplification of the RF front-ends and overall flexibility. Subsequently, the thesis proposes the first reported RF-stage All-Digital Transmitter that can be embedded within a single Field-Programmable Gate Array (FPGA) device. Thereupon, novel techniques to enable the design of wideband All-Digital Transmitters are reported. Finally, the design of concurrent multi-band transmitters is introduced. In particular, the design of agile and flexible dual and triple bands All-DigitalTransmitter (ADT) is demonstrated, which is a very important topic for scenarios that demand carrier aggregation. This Ph.D. contributes withseveral advances to the state-of-the-art of RF all-digital transmitters.A quinta geração de comunicações móveis (5G) está a ser preparada e deve ser comercializada nos próximos anos. Algumas das caracterı́sticas inovadoras esperadas passam pelo uso de um número massivo de font-ends de Rádio-Frequência (RF), taxas de pico de transmissão de dados de 10 Gbps (em todos os lugares e em todas as ocasiões), latências inferiores a 10 mseg e elevadas densidades de dispositivos. Ao mesmo tempo, as gerações anteriores não podem ser ignoradas, fomentando o design de novos transceptores de rádio flexı́veis e altamente integrados, capazes de suportar a transmissão simultânea de sinais multi-banda e multi-standard. O conceito de transmissão totalmente digital é considerado como um tipo de arquitetura promissora para lidar com esses requisitos desafiantes, devido ao seu datapath de rádio totalmente digital. Esta tese é focada na proposta e validação de arquiteturas de transmissores digitais totalmente integradas e avançadas que ultrapassam o estado da arte em diferentes figuras de mérito, como largura de banda de transmissão, pureza espectral, agilidade de portadora, flexibilidade e capacidade multibanda. A primeira parte desta tese introduz o conceito de transmissores de RF totalmente digitais. Em particular, os fundamentos inerentes a esta linha temática são apresentados, juntamente com os avanços mais recentes do estado-da-arte. O núcleo desta tese, contendo os principais desenvolvimentos alcançados durante o trabalho de doutoramento, é então apresentado e discutido. A primeira contribuição fundamental para o estado da arte é o uso de arquiteturas em cascata com moduladores ∆Σ para relaxar os requisitos de filtragem analógica dos transmissores RF totalmente digitais convencionais, mantendo a forma de onda envolvente constante. Em seguida, é apresentada a primeira arquitetura em que agregados de antenas são excitados diretamente por transmissores digitais de um único bit inseridos num único chip, com resultados promissores em termos de simplificação dos front-ends de RF e flexibilidade em geral. Posteriormente, é proposto o primeiro transmissor totalmente digital RF-stage relatado que pode ser incorporado dentro de um único Agregado de Células Lógicas Programáveis. Novas técnicas para permitir o desenho de transmissores RF totalmente digitais de banda larga são também apresentadas. Finalmente, o desenho de transmissores simultâneos de múltiplas bandas é exposto. Em particular, é demonstrado o desenho de transmissores de duas e três bandas ágeis e flexı́veis, que é um tópico essencial para cenários que exigem agregação de múltiplas bandas.Apoio financeiro da Fundação para a Ciência e Tecnologia (FCT) no âmbito de uma bolsa de doutoramento, ref. PD/BD/105857/2014.Programa Doutoral em Telecomunicaçõe

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

Bandpass electromechanical sigma-delta modulator

Ph.DDOCTOR OF PHILOSOPH

High efficiency delta-sigma modulation data converters

Enabled by continued device scaling in CMOS technology, more and more functions that were previously realized in separate chips are getting integrated on a single chip nowadays. Integration on silicon has opened the door to new portable wireless applications, and initiated a widespread use of these devices in our common everyday life. Wide signal bandwidth, high linearity and dynamic range, and low power dissipation are required of embedded data converters that are the performance-limiting key building blocks of those systems. Thus, power-efficient and highly-linear data conversion over wide range of signal bands is essential to get the full benefits from device scaling. This continued trend keeps innovation in the design of data converter continuing. Traditionally, delta-sigma modulation data converters proved to be very effective in applications where high resolution was necessary in a relatively narrow signal band. There have been active research efforts across academia and industry on the extension of achievable signal bandwidth without compromising the performance of these data converters. In this dissertation, architectural innovations, combined with effective design techniques for delta-sigma modulation data converters, are presented to overcome the associated limitations. The effectiveness of the proposed approaches is demonstrated by test results for the following state-of-the-art prototype designs: (1) a 0.8 V, 2.6 mW, 88 dB dual-channel audio delta-sigma modulation D/A converter with headphone driver; (2) an 88 dB ring-coupled delta-sigma ADC with 1.9 MHz bandwidth and -102.4 dB THD; (3) a multi-cell noise-coupled delta-sigma ADC with 1.9 MHz bandwidth, 88 dB DR, and -98 dB THD; (4) an 8.1 mW, 82 dB self-coupled delta-sigma ADC with 1.9 MHz bandwidth and -97 dB THD; (5) a noise-coupled time-interleaved delta-sigma ADC with 4.2 MHz bandwidth, -98 dB THD, and 79 dB SNDR; (6) a noise-coupled time-interleaved delta-sigma ADC with 2.5 MHz bandwidth, -104 dB THD, and 81 dB SNDR. As an extension of this research, two novel architectures for efficient double-sampling delta-sigma ADCs and improved low-distortion delta-sigma ADC are proposed, and validated by extensive simulations.Keywords: improved low-distortion modulator, time interleaving, data converter, multi-cell ADC, efficient double sampling, noise coupling, delta-sigma modulatio

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