Time-Based High-Pass, Low-Pass, Shelf, and Notch Filters

This paper presents formulations for time-based first-order and second-order high-pass, shelf, and notch filters. These formulations are an extension to the existing literature where low-pass filters are already developed using a multiphase controlled oscillator in conjunction with a phase detector and charge pump. The presented high-pass filter expands the circuit by introducing a current-controlled delay line (CCDL) that provides a direct path from input to output. By combining the high-pass filter with the low-pass filter, we show that shelf and notch filters can be obtained without an increase in circuit complexity compared to the high-pass filter. The results show good matching between the ideal small signal and the simulated time-based large signal frequency response. The simulated of total harmonic distortion for the filters shows an increase in distortion due to the nonlinearities introduced by the CCDL for the high-pass, notch, and shelf filter compared to the existing low-pass filter. The derivation of the new filter types allows the creation of complex high-order time-based filters by combining multiple first- or second-order filters

Power-Efficient Design Techniques and Architectures for Scalable Submicron Analog Circuits

As the CMOS process scales down to submicron, digital circuit performance improves, while reduced supply voltage and lower transistor intrinsic gain make it difficult to implement analog circuits in a power efficient manner. Therefore, it has become advantageous to shift more analog signal processing functions conventionally realized in voltage (analog) domain into utilizing charge or time as the variable that can be processed by mostly digital/passive circuits. In this thesis, both circuit-level techniques and architectures are proposed that are inherently compatible with transistor scaling in submicron CMOS, meanwhile achieving state-of-the-art performance and optimizing power efficiency. The first part focuses on a highly reconfigurable charge-domain switched-g[subscript m]-C biquad band-pass filter (BPF) topology that utilizes an interleaved semi-passive charge sharing technique. It uses only switches, capacitors, linearity-enhanced gm-stages and digital circuitry for a 3-phase non-overlapping clock scheme. Flexible tunability in both center frequency and -3dB bandwidth is achieved with a scaling-compatible implementation. A 4th-order BPF prototype operating at a 1.2GS/s sampling rate is designed with a cascade of two proposed biquads in a 65nm LPE CMOS process. A tunable center frequency of 35−70MHz is measured with programmable bandwidth and a maximum stop-band rejection of 72dB. The measured in-band IIP3 is +12.5dBm. The filter prototype consumes 7.5mW total power from a 1.2V supply voltage, and occupies a core area of 0.17mm². In the second part, a highly linear continuous-time low-pass filter (LPF) topology with source follower coupling is presented that achieves excellent power efficiency. It synthesizes a 3rd-order low-pass transfer function in a single stage using coupled source followers and three capacitors, and can be configured to 2nd-order by disconnecting a capacitor. A 5th-order Butterworth prototype is designed with a cascade of two proposed filter stages in a 0.18μm CMOS, and occupies a core area of 0.12mm². Operating with a 1.3V supply voltage, the filter consumes only 0.5mA current, and achieves a -3dB bandwidth of 20MHz with 82dB stop-band rejection. A total harmonic distortion (THD) of -39.5dB at the output is measured with a +6.6dBm (i.e. 1.35V[subscript pk-pk]) input signal at 2MHz. The measured in-band IIP3 is +28.8dBm. The dynamic range (at 1% THD) is 76.8dB, with 15.3nV/√Hz averaged in-band input-referred noise. A pseudo-differential-VCO based 2nd-order continuous-time ΔΣ ADC with a residue self-coupling technique is proposed and implemented with mostly digital circuits in the third part. Two VCOs are arranged in a pseudo-differential manner. The digital output is obtained by comparing the sampled output phase of one VCO with that of the other. Passive subtraction is realized in current domain to obtain the residue at the VCO input. The residue self-coupling is implemented using a linear 1st-order transconductance low-pass filter (TCLPF). Moreover, a highly linear VCO topology is presented. The transistor-level simulations in a 65nm CMOS process show a 78dB SNDR over a 10MHz signal bandwidth with a power consumption of 2.9mW, which is 16dB improvement in contrast to the case with the TCLPF block powered off

Challenges and Solutions for High Performance Analog Circuits with Robust Operation in Low Power Digital CMOS

In modern System-on-Chip products, analog circuits need to co-exist with digital circuits integrated on the same chip. This brings on a lot of challenges since analog circuits need to maintain their performance while being subjected to disturbances from the digital circuits. Device size scaling is driven by digital applications to reduce size and improve performance but also results in the need to reduce the supply voltage. Moreover, in some applications, digital circuits require a changing supply voltage to adapt performance to workloads. So it is further desirable to develop design solutions for analog circuits that can operate with a flexible supply voltage, which can be reduced well below 1V. In this thesis challenges and solutions for key high performance analog circuit functions are explored and demonstrated that operate robustly in a digital environment, function with flexible supply voltages or have a digital-like operation. A combined phase detector consisting of a phase-frequency detector and sub-sampling phase detector is proposed for phase-locked loops (PLLs). The phase-frequency function offers robust operation and the sub-sampling detector leads to low in-band phase noise. A 2.2GHz PLL with a combined phase detector was prototyped in a 65nm CMOS process, with an on-chip loop filter area of only 0.04mm². The experimental results show that the PLL with the combined phase detector is more robust to disturbances than a sub-sampling PLL, while still achieving a measured in-band phase noise of -122dBc/Hz which is comparable to the excellent noise performance of a sub-sampling PLL. A pulse-controlled common-mode feedback (CMFB) circuit is proposed for a 0.6V-1.2V supply-scalable fully-differential amplifier that was implemented in a low power/leakage 65nm CMOS technology. An integrator built with the amplifier occupies an active area of 0.01mm². When the supply is changed from 0.6V to 1.2V, the measured frequency response changes are small, demonstrating the flexible supply operation of the differential amplifier with the pulse-controlled CMFB. Next, models are developed to study the performance scaling of a continuous-time sigma-delta modulator (SDM) with a varying supply voltage. It is demonstrated that the loop filter and the quantizer exhibit different supply dependence. The loop noise performance becomes better at a higher supply thanks to larger signal swings and better signal-to-noise ratio, while the figure of merit determined by the quantization noise gets better at a lower supply voltage, thanks to the quantizer power dissipation reduction. The theoretical models were verified with simulations of a 0.6V-1.2V 2MHz continuous-time SDM design in a 65nm CMOS low power/leakage process. Finally, two design techniques are introduced that leverage the continued improvement of digital circuit blocks for the realization of analog functions. A voltage-controlled-ring-oscillator-based amplifier with zero compensation is proposed that internally uses a phase-domain representation of the analog signal. This provides a huge DC gain without significant penalties on the unity-gain bandwidth or area. With this amplifier a 4th-order 40-MHz active-UGB-RC filter was implemented that offers a wide bandwidth, superior linearity and small area. The filter prototype in a 55nm CMOS process has an active area of 0.07mm² and a power consumption of 7.8mW at 1.2V. The in-band IIP3 and out-of-band IIP3 are measured as 27.3dBm and 22.5dBm, respectively. A digital in-situ biasing technique is proposed to overcome the design challenges of conventional analog biasing circuits in an advanced CMOS process. A digital CMFB was simulated in a 65nm CMOS technology to demonstrate the advantages of this digital biasing scheme. Using time-based successive approximation conversion, the digital CMFB provides the desired analog output with a more robust operation and a smaller area, but without needing any stability compensation schemes like in conventional analog CMFBs. In summary, analog design techniques are continuously evolving to adapt to the integration with digital circuits on the same chip and are increasingly using digital-like blocks to realize analog functions in highly-integrated SOC chips. The signal representation in analog circuits is moving from traditional electrical signals such as voltage or current, to time and phase-domain representations. These changes make analog circuits more robust to voltage disturbances and supply variations. In addition to improved robustness, analog circuits based on timing signals benefit from the faster and smaller transistors offered by the continued feature scaling in CMOS technologies

Power Efficient Architectures for Low Noise Switched-Capacitor Filters and High Accuracy Analog-to-Digital Converters

Filters and data converters are key analog-and-mixed-signal (AMS) building blocks in communication systems, such as software-defined radios and internet-of-things. In this dissertation, novel switched-capacitor filter and analog-to-digital converter (ADC) circuit configurations have been explored which are power efficient and are digital scaling friendly. First, a novel switched-capacitor low-pass filter architecture is presented. In the proposed scheme, a feedback path is added to a charge-rotating real-pole filter to implement complex poles. The selectivity is enhanced, and the in-band loss is reduced compared with the real-pole filter. The output thermal noise level and the tuning range are both close to those of the real-pole filter. A fourth-order filter prototype was implemented in a 180-nm CMOS technology. The measured in-band loss is reduced by 3.3 dB compared with that of a real-pole filter. The sampling rate of the filter is programmable from 65 to 300 MS/s with a constant DC gain. The 3-dB cut-off frequency of the filter can be tuned from 0.490 to 13.3 MHz with over 100-dB maximum stop-band rejection. The measured in-band third-order output intercept point is 28.7 dBm, and the averaged spot noise is 6.54 nV/Hz. The filter consumes 4.3 mW from a 1.8 V supply. Next, an opamp-free noise shaping successive-approximation register (SAR) ADC is presented. Third-order noise shaping is achieved by implementing a second-order passive filter and a passive error feedback topology. In the proposed scheme, the SAR error signals (including quantization noise, comparator thermal noise, and DAC settling error) are subjected to third-order noise shaping. Therefore, the thermal noise specifications of the comparator can be relaxed. Also, since no active element is used, the proposed scheme achieves a higher power efficiency than earlier SAR ADCs. Finally, a novel 0-2 Multi Stage Noise Shaping (MASH) ADC is presented. The first stage is implemented using a 4-bit SAR ADC. The second stage uses a VCO-based quantizer (VCOQ). Unlike earlier VCOQs which provide first-order noise shaping, the proposed VCOQ achieves second-order noise filtering. To implement this noise shaping, the quantization noise of the VCOQ is extracted as a pulse-width-modulated (PWM) signal, and it is fed back to the VCO input using a charge pump circuit. Any error related to the charge pump circuitry will be first-order shaped at the output. Simulation results confirm the second-order noise shaping of the output of the ADC, and an excellent (14-bit SNDR) performance with oversampling ratio (OSR) of 16

Design of PVT Tolerant Inverter Based Circuits for Low Supply Voltages

University of Minnesota Ph.D. dissertation. June 2015. Major: Electrical Engineering. Advisor: Ramesh Harjani. 1 computer file (PDF); xiv, 187 pages.Rapid advances in the field of integrated circuit design has been advantageous from the point of view of cost and miniaturization. Although technology scaling is advantageous to digital circuits in terms of increased speed and lower power, analog circuits strongly suffer from this trend. This is becoming a crucial bottle neck in the realization of a system on chip in scaled technology merging high-density digital parts, with high performance analog interfaces. This is because scaled technologies reduce the output impedance (gain) and supply voltage which limits the dynamic range (output swing). One way to mitigate the power supply restrictions is to move to current mode circuit circuit design rather than voltage mode designs. This thesis focuses on designing Process Voltage and Temperature (PVT) tolerant base band circuits at lower supply voltages and in lower technologies. Inverter amplifiers are known to have better transconductance efficiency, better noise and linearity performance. But inverters are prone to PVT variations and has poor CMRR and PSRR. To circumvent the problem, we have proposed various biasing schemes for inverter like semi constant current biasing, constant current biasing and constant gm biasing. Each biasing technique has its own advantages, like semi constant current biasing allows to select different PMOS and NMOS current. This feature allows for higher inherent inverter linearity. Similarly constant current and constant gm biasing allows for reduced PVT sensitivity. The inverter based OTA achieves a measured THD of -90.6 dB, SNR of 78.7 dB, CMRR 97dB, PSRR 61 dB wile operating from a nominal power of 0.9V and at output swing of 0.9V{pp,diff} in TSMC 40nm general purpose process. Further the measured third harmonic distortion varies approximately by 11.5dB with 120C variation in temperature and 9dB with a 18% variation in supply voltage. The linearity can be increased by increasing the loop gain and bandwidth in a negative feedback circuit or by increasing the over drive voltage in open loop architectures. However both these techniques increases the noise contribution of the circuit. There exist a trade off between noise and linearity in analog circuits. To circumvent this problem, we have introduced nonlinear cancellation techniques and noise filtering techniques. An analog-to-digital converter (ADC) driver which is capable of amplifying the continuous time signal with a gain of 8 and sample onto the input capacitor(1pF) of 1 10 bit successive approximation register (SAR) ADC is designed in TSMC 65nm general purpose process. This exploits the non linearity cancellation in current mirror and also allows for higher bandwidth operation by decoupling closed loop gain from the negative feedback loop. The noise from the out of band is filtered before sampling leading to low noise operation. The measured design operates at 100MS/s and has an OIP_3 of 40dBm at the nyquist rate, noise power spectral density of 17nV/sqrt{Hz} and inter modulation distortion of 65dB. The intermodulation distortion variation across 10 chips is 6dB and 4dB across a temperature variation of 120C. Non linearity cancellation is exploited in designing two filters, an anti alias filter and a continuously tunable channel select filter. Traditional active RC filters are based on cascade of integrators. These create multiple low impedance nodes in the circuit which results in a higher noise. We propose a real low pass filter based filter architecture rather than traditional integrator based approach. Further the entire filtering operation takes place in current domain to circumvent the power supply limitations. This also facilitates the use of tunable non linear metal oxide semiconductor capacitor (MOSCAP) as filter capacitors. We introduce techniques of self compensation to use the filter resistor and capacitor as compensation capacitor for lower power. The anti alias filter designed for 50MHz bandwidth is fabricated in IBM 65nm process achieves an IIP3 of 33dBm, while consuming 1.56mW from 1.2 V supply. The channel select filter is tunable from 34MHz to 314MHz and is fabricated in TSMC 65nm general purpose process. This filter achieves an OIP3 of 25.24 dBm at the maximum frequency while drawing 4.2mA from 1.1V supply. The measured intermodulation distortion varies by 5dB across 120C variation in temperature and 6.5dB across a 200mV variation in power supply. Further this filter presents a high impedance node at the input and a low impedance node at the output easing system integration. SAR ADCs are becoming popular at lower technologies as they are based on device switching rather than amplifying circuits. But recent SAR ADCs that have good energy efficiency have had relatively large input capacitance increasing the driver power. We present a 2X time interleaved (TI) SAR ADC which has the lowest input capacitance of 133fF in literature. The sampling capacitor is separated from the capacitive digital to analog converter (DAC) array by performing the input and DAC reference subtraction in the current domain rather than as done traditionally in charge domain. The proposed ADC is fabricated in TSMC's 65nm general purpose process and occupies an area of 0.0338 mm^2. The measured ADC spurious free dynamic range (SFDR) is 57dB and the measured effective number of bits (ENOB) at nyquist rate is 7.55 bit while using 1.55mW power from 1 V supply. A sub 1V reference circuit is proposed, that exploits the complementary to absolute temperature (CTAT) and proportional to absolute temperature (PTAT) voltages in the beta multiplier circuit to attain a stable voltage with temperature and power supply. A one-time calibration is integrated in the architecture to get a good performance over process. Chopper stabilization is employed to reduce the flicker noise of the reference circuit. The prototype was simulated in TSMC 65nm process and we obtain the nominal output of 236mW, while consuming 0.7mW from power supply. Simulations show a temperature coefficient of 18 ppmC from -40 to 100C and with a power supply ranging from 0.8 to 2V

Power-Efficient and High-Performance Cicruit Techniques for On-Chip Voltage Regulation and Low-Voltage Filtering

This dissertation focuses on two projects. The first one is a power supply rejection (PSR) enhanced with fast settling time (TS) bulk-driven feedforward (BDFF) capacitor-less (CL) low-dropout (LDO) regulator. The second project is a high bandwidth (BW) power adjustable low-voltage (LV) active-RC 4th -order Butterworth low pass filter (LPF). As technology improves, faster and more accurate LDOs with high PSR are going to be required for future on-chip applications and systems.The proposed BDFF CL-LDO will accomplish an improved PSR without degrading TS. This would be achieved by injecting supply noise through the pass device’s bulk terminal in order to cancel the supply noise at the output. The supply injection will be achieved by creating a feedforward path, which compared to feedback paths, that doesn’t degrade stability and therefore allows for faster dynamic performance. A high gain control loop would be used to maintain a high accuracy and dc performance, such as line/load regulation. The proposed CL-LDO will target a PSR better than – 90 dB at low frequencies and – 60 dB at 1 MHz for 50 mA of load current (IvL). The CL-LDO will target a loop gain higher than 90 dB, leading to an improved line and load regulation, and unity-gain frequency (UGF) higher than 20 MHz, which will allow a TS faster than 500 ns. The CL-LDO is going to be fabricated in a CMOS 130 nm technology; consume a quiescent current (IQ) of less than 50 μA; for a dropout voltage of 200 mV and an IvL of 50 mA. As technology scales down, speed and performance requirements increase for on-chip communication systems that reflect the current demand for high speed data-oriented applications. However, in small technologies, it becomes harder to achieve high gain and high speed at the same time because the supply voltage (VvDvD) decreases leaving no room for conventional high gain CMOS structures. The proposed active-RC LPF will accomplish a LV high BW operation that would allow such disadvantages to be overcome. The LPF will be implemented using an active RC structure that allows for the high linearity such communication systems demand. In addition, built-in BW and power configurability would address the demands for increased flexibility usually required in such systems. The proposed LV LPF will target a configurable cut-off frequency (ƒо) of 20/40/80/160 MHz with tuning capabilities and power adjustability for each ƒо. The filter will be fabricated in a CMOS 130 nm technology. The filter characteristics are as following: 4th -order, active-RC, LPF, Butterworth response, VDD = 0.6 V, THD higher than 40 dB and a third-order input intercept point (IIP3) higher than 10 dBm

Oversampled analog-to-digital converter architectures based on pulse frequency modulation

Mención Internacional en el título de doctorThe purpose of this research work is providing new insights in the development of voltage-controlled oscillator based analog-to-digital converters (VCO-based ADCs). Time-encoding based ADCs have become of great interest to the designer community due to the possibility of implementing mostly digital circuits, which are well suited for current deep-submicron CMOS processes. Within this topic, VCO-based ADCs are one of the most promising candidates. VCO-based ADCs have typically been analyzed considering the output phase of the oscillator as a state variable, similar to the state variables considered in __ modulation loops. Although this assumption might take us to functional designs (as verified by literature), it does not take into account neither the oscillation parameters of the VCO nor the deterministic nature of quantization noise. To overcome this issue, we propose an interpretation of these type of systems based on the pulse frequency modulation (PFM) theory. This permits us to analytically calculate the quantization noise, in terms of the working parameters of the system. We also propose a linear model that applies to VCO-based systems. Thanks to it, we can determine the different error processes involved in the digitization of the input data, and the performance limitations which these processes direct to. A generic model for any order open-loop VCO-based ADCs is made based on the PFM theory. However, we will see that only the first-order case and a second order approximation can be implemented in practice. The PFM theory also allows us to propose novel approaches to both single-stage and multistage VCObased architectures. We describe open-loop architectures such as VCO-based architectures with digital precoding, PFM-based architectures that can be used as efficient ADCs or MASH architectures with optimal noise-transfer-function (NTF) zeros. We also make a first approach to the proposal and analysis of closed loop architectures. At the same time, we deal with one of the main limitations of VCOs (especially those built with ring oscillators), which is the non-linear voltage to- frequency relation. In this document, we describe two techniques mitigate this phenomenon. Firstly, we propose to use a pulse width modulator in front of the VCO. This way, there are only two possible oscillation states. Consequently, the oscillator works linearly. To validate the proposed technique, an experimental prototype was implemented in a 40-nm CMOS process. The chip showed noise problems that degraded the expected resolution, but allowed us to verify that the potential performance was close to the expected one. A potential signal-to-noise-distortion ratio (SNDR) equal to 56 dB was achieved in 20 MHz bandwidth, consuming 2.15 mW with an occupied area equal to 0.03 mm2. In comparison to other equivalent systems, the proposed architecture is simpler, while keeping similar power consumption and linearity properties. Secondly, we used a pulse frequency modulator to implement a second ADC. The proposed architecture is intrinsically linear and uses a digital delay line to increase the resolution of the converter. One experimental prototype was implemented in a 40-nm CMOS process using one of these architectures. Proper results were measured from this prototype. These results allowed us to verify that the PFM-based architecture could be used as an efficient ADC. The measured peak SNDR was equal to 53 dB in 20 MHz bandwidth, consuming 3.5 mW with an occupied area equal to 0.08 mm2. The architecture shows a great linearity, and in comparison to related work, it consumes less power and occupies similar area. In general, the theoretical analyses and the architectures proposed in the document are not restricted to any application. Nevertheless, in the case of the experimental chips, the specifications required for these converters were linked to communication applications (e.g. VDSL, VDSL2, or even G.fast), which means medium resolution (9-10 bits), high bandwidth (20 MHz), low power and low area.El propósito del trabajo presentado en este documento es aportar una nueva perspectiva para el diseño de convertidores analógico-digitales basados en osciladores controlados por tensión. Los convertidores analógico-digitales con codificación temporal han llamado la atención durante los últimos años de la comunidad de diseñadores debido a la posibilidad de implementarlos en su gran mayoría con circuitos digitales, los cuales son muy apropiados para los procesos de diseño manométricos. En este ámbito, los convertidores analógico-digitales basados en osciladores controlados por tensión son uno de los candidatos más prometedores. Los convertidores analógico-digitales basados en osciladores controlados por tensión han sido típicamente analizados considerando que la fase del oscilador es una variable de estado similar a las que se observan en los moduladores __. Aunque esta consideración puede llevarnos a diseños funcionales (como se puede apreciar en muchos artículos de la literatura), en ella no se tiene en cuenta ni los parámetros de oscilación ni la naturaleza determinística del ruido de cuantificación. Para solventar esta cuestión, en este documento se propone una interpretación alternativa de este tipo de sistemas haciendo uso de la teoría de la modulación por frecuencia de pulsos. Esto nos permite calcular de forma analítica las ecuaciones que modelan el ruido de cuantificación en función de los parámetros de oscilación. Se propone también un modelo lineal para el análisis de convertidores analógico-digitales basados en osciladores controlados por tensión. Este modelo permite determinar las diferentes fuentes de error que se producen durante el proceso de digitalización de los datos de entrada y las limitaciones que suponen. Un modelo genérico de convertidor de cualquier orden se propone con la ayuda de este modelo. Sin embargo, solo los casos de primer orden y una aproximación al caso de segundo orden se pueden implementar en la práctica. La teoría de la modulación por frecuencia de pulsos también permite nuevas perspectivas para la propuesta y el análisis tanto de arquitecturas de una sola etapa como de arquitecturas de varias etapas construidas con osciladores controlados por tensión. Se proponen y se describen arquitecturas en lazo abierto como son las basadas en osciladores controlador por tensión con moduladores digitales en la etapa de entrada, moduladores por frecuencia de pulsos que se utilizan como convertidores analógico-digitales eficientes o arquitecturas en cascada en las que se optimizan la distribución de los ceros en la función de transferencia del ruido. También se realiza una aproximación a la propuesta y el análisis de arquitecturas en lazo cerrado. Al mismo tiempo, se aborda una de las problemáticas más importantes de los osciladores controlados por tensión (especialmente en aquellos implementados mediante osciladores en anillo): la relación tensión-freculineal que presentan este tipo de circuitos. En el documento, se describen dos técnicas cuyo objetivo es mitigar esta limitación. La primera técnica de corrección se basa en el uso de un modulador por ancho de pulsos antes del oscilador controlado por tensión. De esta forma, solo existen dos estados de oscilación en el oscilador, se trabaja de forma lineal y no se genera distorsión en los datos de salida. La técnica se propone de forma teórica haciendo uso de la teoría desarrollada previamente. Para llevar a cabo la validación de la propuesta teórica se fabricó un prototipo experimental en un proceso CMOS de 40-nm. El chip mostró problemas de ruido que limitaban la resolución, sin embargo, nos permitió velicar que la resolución ideal que se podrá haber obtenido estaba muy cercana a la resolución esperada. Se obtuvo una potencial relación señal-(ruido-distorsión) igual a 56 dB en 20 MHz de ancho de banda, un consumo de 2.15 mW y un área igual a 0.03 mm2. En comparación con sistemas equivalentes, la arquitectura propuesta es más simple al mismo tiempo que se mantiene el consumo así como la linealidad. A continuación, se propone la implementación de un convertidor analógico digital mediante un modulador por frecuencia de pulsos. La arquitectura propuesta es intrínsecamente lineal y hace uso de una línea de retraso digital con el fin de mejorar la resolución del convertidor. Como parte del trabajo experimental, se fabricó otro chip en tecnología CMOS de 40 nm con dicha arquitectura, de la que se obtuvieron resultados notables. Estos resultados permitieron verificar que la arquitectura propuesta, en efecto, podrá emplearse como convertidor analógico-digital eficiente. La arquitectura consigue una relación real señal-(ruido-distorsión) igual a 53 dB en 20 MHz de ancho de banda, un consumo de 3.5 mW y un área igual a 0.08 mm2. Se obtiene una gran linealidad y, en comparación con arquitecturas equivalentes, el consumo es menor mientras que el área ocupada se mantiene similar. En general, las aportaciones propuestas en este documento se pueden aplicar a cualquier tipo de aplicación, independientemente de los requisitos de resolución, ancho de banda, consumo u área. Sin embargo, en el caso de los prototipos fabricados, las especificaciones se relacionan con el ámbito de las comunicaciones (VDSL, VDSL2, o incluso G.fast), en donde se requiere una resolución media (9-10 bits), alto ancho de banda (20 MHz), manteniendo bajo consumo y baja área ocupada.Programa Oficial de Doctorado en Ingeniería Eléctrica, Electrónica y AutomáticaPresidente: Michael Peter Kennedy.- Secretario: Antonio Jesús López Martín.- Vocal: Jörg Hauptman