<p>The sigma-delta techniques for analog-to-digital conversion have for long been utilized when high precision is needed. Despite the fact that these have been realized by a numerous of different structures, the theory of how to construct a sigma-delta ADC is not very extensive.</p><p>This thesis will assume that an SFG description of the CRFB sigma-delta modulator has been designed and presents a structured method to obtain a circuit realization of the integrators in a specific modulator.</p><p>The first activity is to scale the inputs to each integrator in order to make sure that the produced outputs of each integrator is within the output-range of the OTA which is used. The next thing that is presented is an algorithmic way of descending from the SFG design of the modulator down to a switched-capacitor implementation of the system.</p><p>To be able to continue with the circuit realization, one needs to do a rigorous noise analysis of the modulator, which gives the sizes of the different capacitors in the SC-circuits. The last topic of this thesis is a method to obtain the specifications of the OTA in each integrator.</p>

The sigma-delta techniques for analog-to-digital conversion have for long been utilized when high precision is needed. Despite the fact that these have been realized by a numerous of different structures, the theory of how to construct a sigma-delta ADC is not very extensive. This thesis will assume that an SFG description of the CRFB sigma-delta modulator has been designed and presents a structured method to obtain a circuit realization of the integrators in a specific modulator. The first activity is to scale the inputs to each integrator in order to make sure that the produced outputs of each integrator is within the output-range of the OTA which is used. The next thing that is presented is an algorithmic way of descending from the SFG design of the modulator down to a switched-capacitor implementation of the system. To be able to continue with the circuit realization, one needs to do a rigorous noise analysis of the modulator, which gives the sizes of the different capacitors in the SC-circuits. The last topic of this thesis is a method to obtain the specifications of the OTA in each integrator.

The objective of this research is to explore high-speed analog-to-digital converters (ADCs) using silicon-germanium (SiGe) heterojunction bipolar transistors (HBTs) for wireless digital receiver applications. The stringent requirements of ADCs for the high-performance next-generation wireless digital receiver include (1) low power, (2) low cost, (3) wide input signal bandwidth, (4) high sampling rate, and (5) medium to high resolution. The proposed research achieves the objective by implementing high-performance ADC's key building blocks and integrating these building blocks into a complete sigma-delta analog-to-digital modulator that satisfies the demanding specifications of next-generation wireless digital receiver applications. The scope of this research is divided into two main parts: (1) high-performance key building blocks of the ADC, and (2) high-speed sigma-delta analog-to-digital modulator. The research on ADC's building blocks includes the design of two high-speed track-and-hold amplifiers (THA) and two wide-bandwidth comparators operating at the sampling rate > 10 GS/sec with satisfying resolution. The research on high-speed sigma-delta analog-to-digital modulator includes the design and experimental characterization of a high-speed second-order low-pass sigma-delta modulator, which can operate with a sampling rate up to 20 GS/sec and with a medium resolution. The research is envisioned to demonstrate that the SiGe HBT technology is an ideal platform for the design of high-speed ADCs.

In the world of VLSI (very large scale integration) technology, there are many different types of circuit simulators that are used to design and predict the circuit behavior before actual fabrication of the circuit. In this thesis, I compared and evaluated existing circuit simulators by considering standard benchmark circuits. The circuit simulators which I evaluated and explored are Ngspice, Tclspice, Winspice (open source) and Spectre® (commercial). I also tested standard benchmarks using these circuit simulators and compared their outputs. The simulators are evaluated using design metrics in order to quantify their performance and identify efficient circuit simulators. In addition, I designed a sigma-delta modulator and its individual components using the analog behavioral language Verilog-A. Initially, I performed simulations of individual components of the sigma-delta modulator and later of the whole system. Finally, CMOS (complementary metal-oxide semiconductor) transistor-level circuits were designed for the differential amplifier, operational amplifier and comparator of the modulator.

Sigma-delta modulators (SDM) have come up as an attractive candidatefor analog-to-digital conversion in single chip front ends thanks to the continuousimproving performance. The major disadvantage is the limited bandwidthdue to the need of oversampling. Therefore, extending these convertersto broadband applications requires lowering the oversampling ratio (OSR) inorder. The aim of this thesis is the investigation on the topology and structureof sigma-delta modulators suitable for wideband applications, e.g. wireline orwireless communication system applications having a digital baseband aboutone to ten MHz.It has recently become very popular to feedforward the input signal inwideband sigma-delta modulators, so that the integrators only process quantizationerrors. The advantage being that the actual signal is not distorted byopamp and integrator nonlinearities. An improved feedforward 2-2 cascadedstructure is presented based on unity-gain signal transfer function (STF). Theimproved signal-to-noise-ratio (SNR) is obtained by optimizing zero placementof the noise transfer function (NTF) and adopting multi-bit quantizer.The proposed structure has low distortion across the entire input range.In high order single loop continuous-time (CT) sigma-delta modulator, excessloop delay may cause instability. Previous techniques in compensation ofinternal quantizer and feedback DAC delay are studied especially for the feedforwardstructure. Two alternative low power feedforward continuous-timesigma-delta modulators with excess loop delay compensation are proposed.Simulation based CT modulator synthesis from discrete time topologies isadopted to obtain the loop filter coefficients. Design examples are given toillustrate the proposed structure and synthesis methodology.Continuous time quadrature bandpass sigma-delta modulators (QBSDM)efficiently realize asymmetric noise-shaping due to its complex filtering embeddedin the loops. The effect of different feedback waveforms inside themodulator on the NTF of quadrature sigma-delta modulators is presented.An observation is made that a complex NTF can be realized by implementingthe loop as a cascade of complex integrators with a SCR feedback digital-toanalogconverter (DAC), which is desirable for its lower sensitivity to loopmismatch. The QBSDM design for different bandpass center frequencies relativeto the sampling frequency is illustrated.The last part of the thesis is devoted to the design of a wideband reconfigurablesigma-delta pipelined modulator, which consists of a 2-1-1 cascadedmodulator and a pipelined analog-to-digital convertor (ADC) as a multi-bitquantizer in the last stage. It is scalable for different bandwidth/resolutionapplication. The detail design is presented from system to circuit level. Theprototype chip is fabricated in TSMC 0.25um process and measured on thetest bench. The measurement results show that a SNR over 60dB is obtainedwith a sampling frequency of 70 MHz and an OSR of ten.

De nos jours, les capteurs capacitifs sont largement utilisés dans la mesure de grandeurs physiques telles que le déplacement, l’humidité, la pression, etc. Cette large diffusion est principalement due au développement des technologies MEMS qui ont permis de réduire leur coût, leur taille et leur consommation. Pour mesurer ces variations de capacité, des interfaces de conditionnement électronique ont été développées afin d’obtenir un signal électrique exploitable tel qu’une tension, un courant, un temps, une fréquence ou directement une sortie numérique. C’est dans ce cadre que se positionne l’objectif de cette thèse ; étudier la faisabilité d’une mesure capacitive à sortie numérique à partir d’un pont actif, une architecture développée et brevetée par l’équipe Conception et Test de Microsystèmes du LIRMM pour le conditionnement de capteurs résistifs basse consommation. La conversion numérique utilisée est une modulation Sigma-Delta 1 bit du 1er ordre, relativement facile à implémenter, et donc bien adaptée à l’intégration, à la faible consommation et à la réalisation d’interfaces génériques. Pour le retour 1 bit, deux structures de contre réaction ont été proposées : une contre-réaction résistive et une capacitive. Les résultats théoriques sont comparés à des résultats de simulations et à des mesures obtenues à partir des prototypes fabriqués en technologie CMOS 0,35μm d’Austria MicroSystem (AMS). / Nowadays, capacitive sensors are widely used in the measurement of physical quantities such as displacement, humidity, pressure, etc. This wide dissemination is mainly due to the development of MEMS technologies that have reduced their cost, size and consumption. To measure these capacitance changes, sensor electronic interfaces have been developed to obtain an exploitable electrical signal such as voltage, current, time, frequency or directly a digital output. It is in this framework that the aim of this thesis is positioned ; to study the feasibility of a capacitive measurement with digital output from an active bridge, an architecture developed and patented by the Design and Test Microsystems team of LIRMM for conditioning low power resistive sensors. The digital conversion used is a one-bit first-order Sigma-Delta modulation that is relatively easy to implement, and is well adapted to integration, low power consumption and realization of generic sensor interfaces. Two feedback architectures have been proposed: a resistive feedback and a capacitive. The theoretical results are compared with the results of simulations and measurements obtained from prototypes fabricated using a 0.35μm CMOS technology from Austria MicroSystem (AMS).

<p>In today’s world the multi-standard wireless receivers are gaining more and more popularity. End-users want to access voice, data and streaming media from a single wireless terminal. An ideal approach for multi-standard receiver front-end is to digitize a wide band RF signal available from the antenna. All radio functions such as downconversion, demodulation and channel selection can be then performed in the digital domain. Analog to Digital Converter in such a case should guarantee very high linearity, speed and bandwidth specifications while consuming a lot of power. Unfortunately an ADC with such stringent requirements cannot be realized in today’s CMOS technology. In a typical receiver a mixer is used to downconvert the RF signal to baseband (or IF) before digitization is performed. A passive mixer is often used in this case to mitigate the effect of the low frequency flicker noise. Specially it can be a sampling mixer which also serves as a S/H circuit usually required for A/D conversion. In this thesis a lowpass sigma-delta converter with RF sampling is presented. The ΣΔ modulator is SC passive circuit plus comparator, so an operational amplifier usually needed to realize the integrator is avoided. To reduce the complexity, the sampling mixer in front of the modulator is merged with the passive loop filter. As a result the sampling mixer is closed in the modulator loop, so the overall linearity of the frontend is improved to some extent. Downconversion is combined with digitization that reduces the circuit complexity as well.The challenges while digitizing high frequency RF signal are discussed in details. Switches required to realize the loop filter are very critical and tend to be nonlinear. Parasitic effects associated with MOS transistors strongly show up at GHz frequencies. Optimized transistor sizes are obtained through simulation while addressing the speed and linearity trade-off. Another major challenge is the kT/C noise that is the real bottleneck in high frequency SC circuit design. A thermal noise model for ΣΔ-modulator with second-order loop filter is presented and it is shown that a passive ΣΔ-modulator is  in fact thermal noise limited rather than quantization noise limited. It is because the capacitor values are limited by the very high sampling frequency used in this case.The downconverting lowpass ΣΔ modulator with second order SC passive loop filter and 1-bit quantizer is simulated at transistor level in 90nm CMOS process. This modulator can operate at very high sampling frequency upto 4GHz and can sample RF signal with carrier of upto 4GHz as well. The designed ΣΔ modulator is flexible and supports sub-sampling by 2 to 8 (fs = 500MHz, ... 2GHz). Besides, the presented design is very power efficient as it does not use OpAmps – which consume most of the power in the typical ΣΔ modulators. From schematic simulation on average, signal-to-noise and distortion ratio (SNDR) of 52 dB is obtained (ENOB = 8.3). SNDR results does not vary much for three different cases of baseband digitalization, RF sampling and RF sub-sampling. This SNDR value seems to be a good number for a passive sigma-delta modulator. The detailed simulation results for the three cases discussed in the thesis work shown that, the modulator performs equally well for a wide range of sampling and RF signal frequencies.</p>

The majority of signals, that need to be processed, are analog, which are continuous and can take an infinite number of values at any time instant. Precision of the analog signals are limited due to influence of distortion which leads to the use of digital signals for better performance and cost. Analog to Digital Converter (ADC), converts the continuous time signal to the discrete time signal. Most A/D converters are classified into two categories according to their sampling technique: nyquist rate ADC and oversampled ADC. The nyquist rate ADC operates at the sample frequency equal to twice the base-band frequency, whereas the oversampled ADC operates at the sample frequency greater than the nyquist frequency. The sigma delta ADC using the oversampling technique provides high resolution, low to medium speed, relaxed anti-aliasing requirements and various options for reconfiguration. On the contrary, resolution of the sigma delta ADC can be traded for high speed operation. Data sampling techniques plays a vital role in the sigma delta modulator and can be classified into discrete time sampling and continuous time sampling. Furthermore, the discrete time sampling technique can be implemented using the switched-capacitor (SC) integrator and the switched-current (SI) integrator circuits. The SC integrator technique provides high accuracy but occupies a larger area. Unlike the SC integrator, the SI integrator offers low input impedance and parasitic capacitance. This makes the SI integrator suitable for low supply voltage and high frequency applications. From a detailed literature study on the multi-bit sigma delta modulator, it is analyzed that, theneeds a highly linear digital to analogue converter (DAC) in its feedback path. The sigma delta modulators are very sensitive to linearity of the DAC which can degrade the performance without any attenuation. For this purpose T.C. Leslie and B. Singh proposed a Hybrid architecture using the multi-bit quantizer with a single bit DAC. The most significant bit is fed back to the DAC while the least significant bits are omitted. This omission requires a complex digital calibration to complete the analog to digital conversion process which is a small price to pay compared to the linearity requirements of the DAC. This project work describes the design of High-Speed Hybrid Current modeModulator with a single bit feedback DAC at the speed of 2.56GHz in a state-of-the-art 65 nm CMOS process. It comprises of both the analog and digital processing blocks, using T.C. Leslie and B. Singh architecture with the switched current integrator data sampling technique for low voltage, high speed operation. The whole system is verified mathematically in matlab and implemented using signal flow graphs and verilog a code. The analog blocks like switched current integrator, flash ADC and DAC are implemented in transistor level using a 65 nm CMOS technology and the functionality of each block is verified. Dynamic performance parameters such as SNR, SNDR and SFDR for different levels of abstraction matches the mathematical model performance characteristics.

In today’s world the multi-standard wireless receivers are gaining more and more popularity. End-users want to access voice, data and streaming media from a single wireless terminal. An ideal approach for multi-standard receiver front-end is to digitize a wide band RF signal available from the antenna. All radio functions such as downconversion, demodulation and channel selection can be then performed in the digital domain. Analog to Digital Converter in such a case should guarantee very high linearity, speed and bandwidth specifications while consuming a lot of power. Unfortunately an ADC with such stringent requirements cannot be realized in today’s CMOS technology. In a typical receiver a mixer is used to downconvert the RF signal to baseband (or IF) before digitization is performed. A passive mixer is often used in this case to mitigate the effect of the low frequency flicker noise. Specially it can be a sampling mixer which also serves as a S/H circuit usually required for A/D conversion. In this thesis a lowpass sigma-delta converter with RF sampling is presented. The ΣΔ modulator is SC passive circuit plus comparator, so an operational amplifier usually needed to realize the integrator is avoided. To reduce the complexity, the sampling mixer in front of the modulator is merged with the passive loop filter. As a result the sampling mixer is closed in the modulator loop, so the overall linearity of the frontend is improved to some extent. Downconversion is combined with digitization that reduces the circuit complexity as well.The challenges while digitizing high frequency RF signal are discussed in details. Switches required to realize the loop filter are very critical and tend to be nonlinear. Parasitic effects associated with MOS transistors strongly show up at GHz frequencies. Optimized transistor sizes are obtained through simulation while addressing the speed and linearity trade-off. Another major challenge is the kT/C noise that is the real bottleneck in high frequency SC circuit design. A thermal noise model for ΣΔ-modulator with second-order loop filter is presented and it is shown that a passive ΣΔ-modulator is  in fact thermal noise limited rather than quantization noise limited. It is because the capacitor values are limited by the very high sampling frequency used in this case.The downconverting lowpass ΣΔ modulator with second order SC passive loop filter and 1-bit quantizer is simulated at transistor level in 90nm CMOS process. This modulator can operate at very high sampling frequency upto 4GHz and can sample RF signal with carrier of upto 4GHz as well. The designed ΣΔ modulator is flexible and supports sub-sampling by 2 to 8 (fs = 500MHz, ... 2GHz). Besides, the presented design is very power efficient as it does not use OpAmps – which consume most of the power in the typical ΣΔ modulators. From schematic simulation on average, signal-to-noise and distortion ratio (SNDR) of 52 dB is obtained (ENOB = 8.3). SNDR results does not vary much for three different cases of baseband digitalization, RF sampling and RF sub-sampling. This SNDR value seems to be a good number for a passive sigma-delta modulator. The detailed simulation results for the three cases discussed in the thesis work shown that, the modulator performs equally well for a wide range of sampling and RF signal frequencies.

The thesis focuses on a higher order noise-shaping Δ ADC architecture which employs filtered quantization error as a dither signal. Furthermore, the work studies implementation challenges using Switched-Capacitor and Switched-Current techniques. Digitization in an IF conversion receiver can be accomplished either with a wide band Nyquist rate ADC or a BandPass Δ ADC. The use of the latter is the optimum solution since the bandwidth of the IF signals is typically much smaller than the carrier frequency and reducing the quantization noise in the entire nyquist band becomes superfluous. Instead by using BandPass Δ ADCs the quantization noise power is reduced only in a narrow band around IF location. We study state-of-the-art high dynamic range Δ data converter topologies suited for wide-band radio receivers. We propose a topology which achieves higher order noise shaping by employing filtered quantization error as a dither signal. We study implementation challenges for Δ converters in digital technology. Traditionally, Δ ADCs used Switched-Capacitor (SC) circuits to realize their building blocks. This analog sample-data technique is based on the idea that a periodically switched capacitor can emulate a resistor. The limiting factor that degrades the performance of SC circuits implemented in standard VLSI technologies is the continuous reduction of supply voltages, prompted by the continuous scaling-down process. This fact, which is advantageous for digital circuitry, makes the design of SC circuits difficult, which are forced to use clock boosting strategies for switches and to increase the power consumption in order to obtain high-speed and high dynamic range opamps with low voltage operation. In this scenario, the use of current-domain sampled data technique, also named Switched-Current (SI), instead of voltages results advantageous for several reasons. As the signal carriers are currents, the supply voltage does not limit the signal range as much as in SC circuits. Therefore, SI circuits are more suitable than SC for low-voltage operation. This work studies the feasibility and bottlenecks of implementing Δ modulator building blocks using SI technique. A BandPass filter, DAC and 1-bit quantizer have been designed in 0.18µm technology using SI technique. (For mathematical equations pl refer the pdf file)