Design of a Continuous-Time (CT) Sigma-Delta modulator for class D audio power amplifiers

Dissertação apresentada na Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa para obtenção do Grau de Mestre em Engenharia Electrotécnica e de Computadore

Design of the 12-bit Delta-Sigma Modulator using SC Technique for Vibration Sensor Output Processing

The work deals with the design of the 12-bit Delta-Sigma modulator using switched capacitors (SC) technique. The modulator serves to vibration sensor output processing. The first part describes the Delta-Sigma modulator parameters definition. Results of the proposed topology ideal model were presented as well. Next, the Delta-Sigma modulator circuitry on the transistor level was done. The ONSemiconductor I2T100 0.7 um CMOS technology was used for design. Then, the Delta-Sigma modulator nonidealities were simulated and implemented into the MATLAB ideal model of the modulator. The model of real Delta-Sigma modulator was derived. Consequently, modulator coefficients were optimized. Finally, the corner analysis of the Delta-Sigma modulator with the optimized coefficients was simulated. The value of SNDR = 82.2 dB (ENOB = 13.4 bits) was achieved

Design of a Comparator and an Amplifier in CMOS using standard logic gates

Using standard logic gates in CMOS, or standard-cells, has the advantage of full synthe- sizability, as well as the voltage scalability between technologies. In this work a general pur- pose standard-cell-based voltage comparator and amplifier are presented. The objective is to design a general purpose standard-cell-based comparator and ampli- fier in 130 nm CMOS by optimizing the already existing topologies with the aim of improving some of the specifications of the studied topologies. Various simulation testbenches were made to test the studied topologies of comparators and amplifiers, in which the results were compared. The top performing standard-cell com- parator and amplifier were then modified. After successfully designing the comparator, it was used in the design of an opamp-less Sigma-Delta modulator (ΣΔM). The proposed comparator is an OR-AND-Inverter-based comparator with dual inputs and outputs, achieving a delay of 109 ps, static input offset of 591 μV, and random offset of 10.42 μV, while dissipating 890 μW, when clocked at 1.5 GHz. The proposed amplifier is a single-path three-stage inverter-based operational transcon- ductance amplifier (OTA) with active common-mode feedback loop, achieving a DC gain of 63 dB, 1444 MHz of unity-gain bandwidth, 51º of phase margin while dissipating 1098 μW, considering a load of 1 pF. The proposed comparator was employed in the ΣΔM with a standard-cell based edge- triggered flip-flop. The ΣΔM, with a sampling frequency of 2 MHz and a signal bandwidth of 2.5 kHz, achieved a peak SNDR of 69 dB while dissipating only 136.7 μW.Utilizando portas lógicas básicas em CMOS oferece a vantagem de um circuito comple- tamente sintetizável, tal como o escalamento de tensão entre tecnologias. Neste trabalho são apresentados um comparador de tensão e um amplificador utilizando portas lógicas. O objetivo deste trabalho é desenhar um comparador e um amplificador utilizando por- tas lógicas através do estudo e otimização de topologias já existentes com a finalidade de me- lhoramento de algumas das especificações das mesmas. Foram realizados vários bancos de teste para testar as topologias estudadas de compa- radores e amplificadores, em que os resultados foram comparados. As topologias de compa- radores e amplificadores de portas lógicas com melhor performance foram então modificadas. Após o comparador ter sido projetado com sucesso, foi utilizado na projeção de um modula- dor Sigma-Delta (ΣΔM) opamp-less. O comparador proposto é um OR-AND-Inversor com duas entradas e saídas, que apre- senta um atraso de 109 ps, offset estático na entrada de 591 μV, offset aleatório de 10.42 μV, enquanto dissipando 890 μW, utilizando uma frequência de relógio de 1.5 GHz O amplificador proposto é um amplificador operacional de transcondutância single- path three-stage inverter-based com um loop ativo de realimentação do modo-comum, que apresenta um ganho DC de 63 dB, 1444 MHz de ganho-unitário de largura de banda, 51º de margem de fase e dissipando 1098 μW, considerando uma carga de 1 pF. O comparador proposto foi aplicado no ΣΔM com um flip-flop edge-triggered baseado em portas lógicas. O ΣΔM, com uma frequência de amostragem de 2 MHz e uma largura de banda de 2.5 kHz, apresentou um SNDR máximo de 69 dB enquanto dissipando apenas 136.7 μW

Flexible Sigma Delta Time-Interleaved Bandpass Analog-to-Digital Converter

Conversion of analog signals to their digital equivalent earlier in a circuit’s topology facilitates faster and more efficient exploitation of the information contained within. Analog-to-digital converters (ADCs) form the link between the analog and digital realms. In high frequency circuits ADCs must often be implemented further downstream after several stages of down-conversion, or through the use of more expensive technologies such as Bi-polar Junction Transistors or Gallium Arsenide. This thesis presents a technique to utilize Complimentary Metal Oxide Semiconductor technology in a parallel time-interleaved architecture. This will reduce circuit complexity and allow the ADC to be placed further upstream reducing the need for large and expensive analog hardware. This thesis utilizes an architecture that allows for higher frequency input signals through the use of down-sampling, parallel processing, and recombination. This thesis will also present the use of sigma delta based modulation in order to increase the resolution of the digital output signal. Exploitation of oversampling and the resultant noise-shaping characteristics of the sigma delta modulator will enable the user to gain resolution without the increased cost of implementing more expensive ADC architectures such as Flash. This thesis also presents a flexible converter such that both the center frequency and resolution can be modified by manipulating inputs. Specifically, the input and output filters as well as the sampling frequency can be tuned such that the circuit will operate at a particular center frequency. Also, the circuit will have flexible resolution which can be controlled by the clock input. Proof of concept is accomplished with a Matlab® simulation followed by schematic implementation in Cadence®. The design is constructed using IBM® 0.13 µm technology with a rail voltage of 1.2 V. Results are evaluated through the calculation of the effective number of bits and the signal to noise ratio. Conclusions and guidance on future research are provided

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

A Low-Power Sigma-Delta Modulator for Healthcare and Medical Diagnostic Applications

This paper presents a switched-capacitor Sigma-Delta modulator designed in 90-nm CMOS technology, operating at 1.2-V supply voltage. The modulator targets healthcare and medical diagnostic applications where the readout of small-bandwidth signals is required. The design of the proposed A/D converter was optimized to achieve the minimum power consumption and area. A remarkable performance improvement is obtained through the integration of a low-noise amplifier with modified Miller compensation and rail-to-rail output stage. The manuscript also presents a set of design equations, from the small-signal analysis of the amplifier, for an easy design of the modulator in different technology nodes. The Sigma-Delta converter achieves a measured 96-dB dynamic range, over a 250-Hz signal bandwidth, with an oversampling ratio of 500. The power consumption is 30 μW, with a silicon area of 0.39 mm²

First order sigma-delta modulator of an oversampling ADC design in CMOS using floating gate MOSFETS

We report a new architecture for a sigma-delta oversampling analog-to-digital converter (ADC) in which the first order modulator is realized using the floating gate MOSFETs at the input stage of an integrator and the comparator. The first order modulator is designed using an 8 MHz sampling clock frequency and implemented in a standard 1.5µm n-well CMOS process. The decimator is an off-chip sinc-filter and is programmed using the VERILOG and tested with Altera Flex EPF10K70RC240 FPGA board. The ADC gives an 8-bit resolution with a 65 kHz bandwidth