Development of high-resolution gamma cameras based on silicon photosensors

The development of a compact gamma camera with high spatial resolution is of great interest in Nuclear Medicine as a means to increase the sensitivity of scintigraphy exams and thus allow the early detection of small tumours. Following the introduction of the wavelength-shifting fibre (WSF) gamma camera by Soares et al. and evolution of photodiodes into highly sensitive silicon photomultipliers (SiPMs), this thesis explores the development of a WSF gamma camera using SiPMs to obtain the position information of scintillation events in a continuous CsI(Na) crystal. The design is highly flexible, allowing the coverage of different areas and the development of compact cameras, with very small dead areas at the edges. After initial studies which confirmed the feasibility of applying SiPMs, a prototype with 5 5 cm2 was assembled and tested at room temperature, in an active field-of-view of 10 10 mm2. Calibration and characterisation of intrinsic properties of this prototype were done using 57Co, while extrinsic measurements were performed using a high-resolution parallel-hole collimator and 99mTc. In addition, a small mouse injected with a radiopharmaceutical was imaged with the developed prototype. Results confirm the great potential of SiPMs when applied in a WSF gamma camera, achieving spatial resolution performance superior to the traditional Anger camera. Furthermore, performance can be improved by an optimisation of experimental conditions, in order to minimise and control the undesirable effects of thermal noise and non-uniformity of response of multiple SiPMs. The development and partial characterisation of a larger SiPM WSF gamma camera with 10 10 cm2 for clinical application are also presented.

Temporal SNR characteristics in segmented 3D-EPI at 7T.

Three-dimensional segmented echo planar imaging (3D-EPI) is a promising approach for high-resolution functional magnetic resonance imaging, as it provides an increased signal-to-noise ratio (SNR) at similar temporal resolution to traditional multislice 2D-EPI readouts. Recently, the 3D-EPI technique has become more frequently used and it is important to better understand its implications for fMRI. In this study, the temporal SNR characteristics of 3D-EPI with varying numbers of segments are studied. It is shown that, in humans, the temporal variance increases with the number of segments used to form the EPI acquisition and that for segmented acquisitions, the maximum available temporal SNR is reduced compared to single shot acquisitions. This reduction with increased segmentation is not found in phantom data and thus likely due to physiological processes. When operating in the thermal noise dominated regime, fMRI experiments with a motor task revealed that the 3D variant outperforms the 2D-EPI in terms of temporal SNR and sensitivity to detect activated brain regions. Thus, the theoretical SNR advantage of a segmented 3D-EPI sequence for fMRI only exists in a low SNR situation. However, other advantages of 3D-EPI, such as the application of parallel imaging techniques in two dimensions and the low specific absorption rate requirements, may encourage the use of the 3D-EPI sequence for fMRI in situations with higher SNR.

Modelagem em SystemC-AMS de uma plataforma compatível com o sistema de coleta de dados brasileiro

This work presents simulation results of an identification platform compatible with the INPE Brazilian Data Collection System, modeled with SystemC-AMS. SystemC-AMS that is a library of C++ classes dedicated to the simulation of heterogeneous systems, offering a powerful resource to describe models in digital, analog and RF domains, as well as mechanical and optic. The designed model was divided in four parts. The first block takes into account the satellite s orbit, necessary to correctly model the propagation channel, including Doppler effect, attenuation and thermal noise. The identification block detects the satellite presence. It is composed by low noise amplifier, band pass filter, power detector and logic comparator. The controller block is responsible for enabling the RF transmitter when the presence of the satellite is detected. The controller was modeled as a Petri net, due to the asynchronous nature of the system. The fourth block is the RF transmitter unit, which performs the modulation of the information in BPSK ±60o. This block is composed by oscillator, mixer, adder and amplifier. The whole system was simulated simultaneously. The results are being used to specify system components and to elaborate testbenchs for design verification

On designing OTA-C graphic-equalizers with MOSFET-triode transconductors

A CMOS audio-equalizer based on a parallel-array of 2nd-order bandpass-sections is presented and realized with triode transconductors. It has a programmable 12db-boost/cut on each of its three decade-bands, easily achieved through the linear dependence of gm on VDS. In accordance with a 0.8μm n-well double-metal fabrication process, a range of simulations supports theoretical analysis and circuit performance at different boost/cut scenarios. For VDD=3.3V, fullboosting stand-by prover consumption is 1.05mW. THD=-42.61dB@1Vpp and may be improved by balanced structures. Thermal- and I/f-noise spectral densities are 3.2μV/Hz12 and 18.2μV/Hz12@20Hz, respectively, for a dynamic range of 52.3dB@1Vpp. The equalizer effective area is 2.4mm2. The drawback of the existing transmission-zero due to the feedthrough-capacitance of a triode input-device is also addressed. The proposed topology can be extended to the design of more complex graphic-equalizers and hearing-aids.

Simulations for Gravitational Lensing of 21 cm Radiation at EoR and Post-EoR Redshifts

21 cm cosmology opens an observational window to previously unexplored cosmological epochs such as the Epoch of Reionization (EoR), the Cosmic Dawn and the Dark Ages using powerful radio interferometers such as the planned Square Kilometer Array (SKA). Among all the other applications which can potentially improve the understanding of standard cosmology, we study the promising opportunity given by measuring the weak gravitational lensing sourced by 21 cm radiation. We performed this study in two different cosmological epochs, at a typical EoR redshift and successively at a post-EoR redshift. We will show how the lensing signal can be reconstructed using a three dimensional optimal quadratic lensing estimator in Fourier space, using single frequency band or combining multiple frequency band measurements. To this purpose, we implemented a simulation pipeline capable of dealing with issues that can not be treated analytically. Considering the current SKA plans, we studied the performance of the quadratic estimator at typical EoR redshifts, for different survey strategies and comparing two thermal noise models for the SKA-Low array. The simulation we performed takes into account the beam of the telescope and the discreteness of visibility measurements. We found that an SKA-Low interferometer should obtain high-fidelity images of the underlying mass distribution in its phase 1 only if several bands are stacked together, covering a redshift range that goes from z=7 to z=11.5. The SKA-Low phase 2, modeled in order to improve the sensitivity of the instrument by almost an order of magnitude, should be capable of providing images with good quality even when the signal is detected within a single frequency band. Considering also the serious effect that foregrounds could have on this detections, we discussed the limits of these results and also the possibility provided by these models of measuring an accurate lensing power spectrum.

Refined second law of thermodynamics for fast random processes

We establish a refined version of the Second Law of Thermodynamics for Langevin stochastic processes describing mesoscopic systems driven by conservative or non-conservative forces and interacting with thermal noise. The refinement is based on the Monge-Kantorovich optimal mass transport and becomes relevant for processes far from quasi-stationary regime. General discussion is illustrated by numerical analysis of the optimal memory erasure protocol for a model for micron-size particle manipulated by optical tweezers.

Análisis y diseño de un patrón de ruido térmico de 10 MHz a 26,5 GHz en tecnología coaxial

Esta Tesis Doctoral presenta las investigaciones y los trabajos desarrollados durante los años 2008 a 2012 para el análisis y diseño de un patrón primario de ruido térmico de banda ancha en tecnología coaxial. Para ubicar esta Tesis en su campo científico es necesario tomar conciencia de que la realización de mediciones fiables y trazables forma parte del sostenimiento del bienestar de una sociedad moderna y juega un papel crítico en apoyo de la competitividad económica, la fabricación y el comercio, así como de la calidad de vida. En el mundo moderno actual, una infraestructura de medición bien desarrollada genera confianza en muchas facetas de nuestra vida diaria, porque nos permite el desarrollo y fabricación de productos fiables, innovadores y de alta calidad; porque sustenta la competitividad de las industrias y su producción sostenible; además de contribuir a la eliminación de barreras técnicas y de dar soporte a un comercio justo, garantizar la seguridad y eficacia de la asistencia sanitaria, y por supuesto, dar respuesta a los grandes retos de la sociedad moderna en temas tan complicados como la energía y el medio ambiente. Con todo esto en mente se ha desarrollado un patrón primario de ruido térmico con el fin de aportar al sistema metrológico español un nuevo patrón primario de referencia capaz de ser usado para desarrollar mediciones fiables y trazables en el campo de la medida y calibración de dispositivos de ruido electromagnético de radiofrecuencia y microondas. Este patrón se ha planteado para que cumpla en el rango de 10 MHz a 26,5 GHz con las siguientes especificaciones: Salida nominal de temperatura de ruido aproximada de ~ 83 K. Incertidumbre de temperatura de ruido menor que ± 1 K en todo su rango de frecuencias. Coeficiente de reflexión en todo su ancho de banda de 0,01 a 26,5 GHz lo más bajo posible. Se ha divido esta Tesis Doctoral en tres partes claramente diferenciadas. La primera de ellas, que comprende los capítulos 1, 2, 3, 4 y 5, presenta todo el proceso de simulaciones y ajustes de los parámetros principales del dispositivo con el fin de dejar definidos los que resultan críticos en su construcción. A continuación viene una segunda parte compuesta por el capítulo 6 en donde se desarrollan los cálculos necesarios para obtener la temperatura de ruido a la salida del dispositivo. La tercera y última parte, capítulo 7, se dedica a la estimación de la incertidumbre de la temperatura de ruido del nuevo patrón primario de ruido obtenida en el capítulo anterior. Más concretamente tenemos que en el capítulo 1 se hace una exhaustiva introducción del entorno científico en donde se desarrolla este trabajo de investigación. Además se detallan los objetivos que se persiguen y se presenta la metodología utilizada para conseguirlos. El capítulo 2 describe la caracterización y selección del material dieléctrico para el anillo del interior de la línea de transmisión del patrón que ponga en contacto térmico los dos conductores del coaxial para igualar las temperaturas entre ambos y mantener la impedancia característica de todo el patrón primario de ruido. Además se estudian las propiedades dieléctricas del nitrógeno líquido para evaluar su influencia en la impedancia final de la línea de transmisión. En el capítulo 3 se analiza el comportamiento de dos cargas y una línea de aire comerciales trabajando en condiciones criogénicas. Se pretende con este estudio obtener la variación que se produce en el coeficiente de reflexión al pasar de temperatura ambiente a criogénica y comprobar si estos dispositivos resultan dañados por trabajar a temperaturas criogénicas; además se estudia si se modifica su comportamiento tras sucesivos ciclos de enfriamiento – calentamiento, obteniendo una cota de la variación para poder así seleccionar la carga que proporcione un menor coeficiente de reflexión y una menor variabilidad. En el capítulo 4 se parte del análisis de la estructura del anillo de material dieléctrico utilizada en la nota técnica NBS 1074 del NIST con el fin de obtener sus parámetros de dispersión que nos servirán para calcular el efecto que produce sobre el coeficiente de reflexión de la estructura coaxial completa. Además se realiza un estudio posterior con el fin de mejorar el diseño de la nota técnica NBS 1074 del NIST, donde se analiza el anillo de material dieléctrico, para posteriormente realizar modificaciones en la geometría de la zona donde se encuentra éste con el fin de reducir la reflexión que produce. Concretamente se estudia el ajuste del radio del conductor interior en la zona del anillo para que presente la misma impedancia característica que la línea. Y para finalizar se obtiene analíticamente la relación entre el radio del conductor interior y el radio de la transición de anillo térmico para garantizar en todo punto de esa transición la misma impedancia característica, manteniendo además criterios de robustez del dispositivo y de fabricación realistas. En el capítulo 5 se analiza el comportamiento térmico del patrón de ruido y su influencia en la conductividad de los materiales metálicos. Se plantean las posibilidades de que el nitrógeno líquido sea exterior a la línea o que éste penetre en su interior. En ambos casos, dada la simetría rotacional del problema, se ha simulado térmicamente una sección de la línea coaxial, es decir, se ha resuelto un problema bidimensional, aunque los resultados son aplicables a la estructura real tridimensional. Para la simulación térmica se ha empleado la herramienta PDE Toolbox de Matlab®. En el capítulo 6 se calcula la temperatura de ruido a la salida del dispositivo. Se parte del estudio de la aportación a la temperatura de ruido final de cada sección que compone el patrón. Además se estudia la influencia de las variaciones de determinados parámetros de los elementos que conforman el patrón de ruido sobre las características fundamentales de éste, esto es, el coeficiente de reflexión a lo largo de todo el dispositivo. Una vez descrito el patrón de ruido electromagnético se procede, en el capítulo 7, a describir los pasos seguidos para estimar la incertidumbre de la temperatura de ruido electromagnético a su salida. Para ello se utilizan dos métodos, el clásico de la guía para la estimación de la incertidumbre [GUM95] y el método de simulación de Monte Carlo. En el capítulo 8 se describen las conclusiones y lo logros conseguidos. Durante el desarrollo de esta Tesis Doctoral se ha obtenido un dispositivo novedoso susceptible de ser patentado, que ha sido registrado en la Oficina Española de Patentes y Marcas (O.E.P.M.) en Madrid, de conformidad con lo establecido en el artículo 20 de la Ley 11/1986, de 20 de Marzo, de Patentes, con el título Patrón Primario de Ruido Térmico de Banda Ancha (Referencia P-101061) con fecha 7 de febrero de 2011. ABSTRACT This Ph. D. work describes a number of investigations that were performed along the years 2008 to 2011, as a preparation for the study and design of a coaxial cryogenic reference noise standard. Reliable and traceable measurement underpins the welfare of a modern society and plays a critical role in supporting economic competitiveness, manufacturing and trade as well as quality of life. In our modern world, a well developed measurement infrastructure gives confidence in many aspects of our daily life, for example by enabling the development and manufacturing of reliable, high quality and innovative products; by supporting industry to be competitive and sustainable in its production; by removing technical barriers to trade and supporting fair trade; by ensuring safety and effectiveness of healthcare; by giving response to the major challenges in key sectors such energy and environment, etc. With all this in mind we have developed a primary standard thermal noise with the aim of providing the Spanish metrology system with a new primary standard for noise reference. This standard will allow development of reliable and traceable measurements in the field of calibration and measurement of electromagnetic noise RF and microwave devices. This standard has been designed to work in the frequency range from 10 MHz to 26.5 GHz, meeting the following specifications: 1. Noise temperature output is to be nominally ~ 83 K. 2. Noise temperature uncertainty less than ± 1 K in the frequency range from 0.01 to 26.5 GHz. 3. Broadband performance requires as low a reflection coefficient as possible from 0.01 to 26.5 GHz. The present Ph. D. work is divided into three clearly differentiated parts. The first one, which comprises Chapters 1 to 5, presents the whole process of simulation and adjustment of the main parameters of the device in order to define those of them which are critical for the manufacturing of the device. Next, the second part consists of Chapter 6 where the necessary computations to obtain the output noise temperature of the device are carried out. The third and last part, Chapter 7, is devoted to the estimation of the uncertainty related to the noise temperature of the noise primary standard as obtained in the preceding chapter. More specifically, Chapter 1 provides a thorough introduction to the scientific and technological environment where this research takes place. It also details the objectives to be achieved and presents the methodology used to achieve them. Chapter 2 describes the characterization and selection of the bead dielectric material inside the transmission line, intended to connect the two coaxial conductors equalizing the temperature between the two of them and thus keeping the characteristic impedance constant for the whole standard. In addition the dielectric properties of liquid nitrogen are analyzed in order to assess their influence on the impedance of the transmission line. Chapter 3 analyzes the behavior of two different loads and of a commercial airline when subjected to cryogenic working conditions. This study is intended to obtain the variation in the reflection coefficient when the temperature changes from room to cryogenic temperature, and to check whether these devices can be damaged as a result of working at cryogenic temperatures. Also we try to see whether the load changes its behavior after successive cycles of cooling / heating, in order to obtain a bound for the allowed variation of the reflection coefficient of the load. Chapter 4 analyzes the ring structure of the dielectric material used in the NBS technical note 1074 of NIST, in order to obtain its scattering parameters that will be used for computation of its effect upon the reflection coefficient of the whole coaxial structure. Subsequently, we perform a further investigation with the aim of improving the design of NBS technical note 1074 of NIST, and modifications are introduced in the geometry of the transition area in order to reduce the reflection it produces. We first analyze the ring, specifically the influence of the radius of inner conductor of the bead, and then make changes in its geometry so that it presents the same characteristic impedance as that of the line. Finally we analytically obtain the relationship between the inner conductor radius and the radius of the transition from ring, in order to ensure the heat flow through the transition thus keeping the same reflection coefficient, and at the same time meeting the robustness requirements and the feasibility of manufacturing. Chapter 5 analyzes the thermal behavior of the noise standard and its influence on the conductivity of metallic materials. Both possibilities are raised that the liquid nitrogen is kept outside the line or that it penetrates inside. In both cases, given the rotational symmetry of the structure, we have simulated a section of coaxial line, i.e. the equivalent two-dimensional problem has been resolved, although the results are applicable to the actual three-dimensional structure. For thermal simulation Matlab™ PDE Toolbox has been used. In Chapter 6 we compute the output noise temperature of the device. The starting point is the analysis of the contribution to the overall noise temperature of each section making up the standard. Moreover the influence of the variations in the parameters of all elements of the standard is analyzed, specifically the variation of the reflection coefficient along the entire device. Once the electromagnetic noise standard has been described and analyzed, in Chapter 7 we describe the steps followed to estimate the uncertainty of the output electromagnetic noise temperature. This is done using two methods, the classic analytical approach following the Guide to the Estimation of Uncertainty [GUM95] and numerical simulations made with the Monte Carlo method. Chapter 8 discusses the conclusions and achievements. During the development of this thesis, a novel device was obtained which was potentially patentable, and which was finally registered through the Spanish Patent and Trademark Office (SPTO) in Madrid, in accordance with the provisions of Article 20 of Law 11/1986 about Patents, dated March 20th, 1986. It was registered under the denomination Broadband Thermal Noise Primary Standard (Reference P-101061) dated February 7th, 2011.

Contribución al diseño de lazos de realimentación electrónica para microsistemas electromecánicos (MEMS) resonantes: ruido de fase generado en lazos osciladores por sus realimentaciones

En 1966, D. B. Leeson publicó el artículo titulado “A simple model of feedback oscillator noise spectrum” en el que, mediante una ecuación obtenida de forma heurística y basada en parámetros conocidos de los osciladores, proponía un modelo para estimar el espectro de potencia que cuantifica el Ruido de Fase de estos osciladores. Este Ruido de Fase pone de manifiesto las fluctuaciones aleatorias que se producen en la fase de la señal de salida de cualquier oscilador de frecuencia f_0. Desde entonces, los adelantos tecnológicos han permitido grandes progresos en cuanto a la medida del Ruido de Fase, llegando a encontrar una estrecha “zona plana”, alrededor de f_0, conocida con el nombre de Ensanchamiento de Línea (EL) que Leeson no llegó a observar y que su modelo empírico no recogía. Paralelamente han ido surgiendo teorías que han tratado de explicar el Ruido de Fase con mayor o menor éxito. En esta Tesis se propone una nueva teoría para explicar el espectro de potencia del Ruido de Fase de un oscilador realimentado y basado en resonador L-C (Inductancia-Capacidad). Al igual que otras teorías, la nuestra también relaciona el Ruido de Fase del oscilador con el ruido térmico del circuito que lo implementa pero, a diferencia de aquellas, nuestra teoría se basa en un Modelo Complejo de ruido eléctrico que considera tanto las Fluctuaciones de energía eléctrica asociadas a la susceptancia capacitiva del resonador como las Disipaciones de energía eléctrica asociadas a su inevitable conductancia G=1⁄R, que dan cuenta del contacto térmico entre el resonador y el entorno térmico que le rodea. En concreto, la nueva teoría que proponemos explica tanto la parte del espectro del Ruido de Fase centrada alrededor de la frecuencia portadora f_0 que hemos llamado EL y su posterior caída proporcional a 〖∆f〗^(-2) al alejarnos de f_0, como la zona plana o pedestal que aparece en el espectro de Ruido de Fase lejos de esa f_0. Además, al saber cuantificar el EL y su origen, podemos explicar con facilidad la aparición de zonas del espectro de Ruido de Fase con caída 〖∆f〗^(-3) cercanas a la portadora y que provienen del denominado “exceso de ruido 1⁄f” de dispositivos de Estado Sólido y del ruido “flicker” de espectro 1⁄f^β (0,8≤β≤1,2) que aparece en dispositivos de vacío como las válvulas termoiónicas. Habiendo mostrado que una parte del Ruido de Fase de osciladores L-C realimentados que hemos denominado Ruido de Fase Térmico, se debe al ruido eléctrico de origen térmico de la electrónica que forma ese oscilador, proponemos en esta Tesis una nueva fuente de Ruido de Fase que hemos llamado Ruido de Fase Técnico, que se añadirá al Térmico y que aparecerá cuando el desfase del lazo a la frecuencia de resonancia f_0 del resonador no sea 0° o múltiplo entero de 360° (Condición Barkhausen de Fase, CBF). En estos casos, la modulación aleatoria de ganancia de lazo que realiza el Control Automático de Amplitud en su lucha contra ruidos que traten de variar la amplitud de la señal oscilante del lazo, producirá a su vez una modulación aleatoria de la frecuencia de tal señal que se observará como más Ruido de Fase añadido al Térmico. Para dar una prueba empírica sobre la existencia de esta nueva fuente de Ruido de Fase, se diseñó y construyó un oscilador en torno a un resonador mecánico “grande” para tener un Ruido de Fase Térmico despreciable a efectos prácticos. En este oscilador se midió su Ruido de Fase Técnico tanto en función del valor del desfase añadido al lazo de realimentación para apartarlo de su CBF, como en función de la perturbación de amplitud inyectada para mostrar sin ambigüedad la aparición de este Ruido de Fase Técnico cuando el lazo tiene este fallo técnico: que no cumple la Condición Barkhausen de Fase a la frecuencia de resonancia f_0 del resonador, por lo que oscila a otra frecuencia. ABSTRACT In 1966, D. B. Leeson published the article titled “A simple model of feedback oscillator noise spectrum” in which, by means of an equation obtained heuristically and based on known parameters of the oscillators, a model was proposed to estimate the power spectrum that quantifies the Phase Noise of these oscillators. This Phase Noise reveals the random fluctuations that are produced in the phase of the output signal from any oscillator of frequencyf_0. Since then, technological advances have allowed significant progress regarding the measurement of Phase Noise. This way, the narrow flat region that has been found around f_(0 ), is known as Line Widening (LW). This region that Leeson could not detect at that time does not appear in his empirical model. After Leeson’s work, different theories have appeared trying to explain the Phase Noise of oscillators. This Thesis proposes a new theory that explains the Phase Noise power spectrum of a feedback oscillator around a resonator L-C (Inductance-Capacity). Like other theories, ours also relates the oscillator Phase Noise to the thermal noise of the feedback circuitry, but departing from them, our theory uses a new, Complex Model for electrical noise that considers both Fluctuations of electrical energy associated with the capacitive susceptance of the resonator and Dissipations of electrical energy associated with its unavoidable conductance G=1/R, which accounts for the thermal contact between the resonator and its surrounding environment (thermal bath). More specifically, the new theory we propose explains both the Phase Noise region of the spectrum centered at the carrier frequency f_0 that we have called LW and shows a region falling as 〖∆f〗^(-2) as we depart from f_0, and the flat zone or pedestal that appears in the Phase Noise spectrum far from f_0. Being able to quantify the LW and its origin, we can easily explain the appearance of Phase Noise spectrum zones with 〖∆f〗^(-3) slope near the carrier that come from the so called “1/f excess noise” in Solid-State devices and “flicker noise” with 1⁄f^β (0,8≤β≤1,2) spectrum that appears in vacuum devices such as thermoionic valves. Having shown that the part of the Phase Noise of L-C oscillators that we have called Thermal Phase Noise is due to the electrical noise of the electronics used in the oscillator, this Thesis can propose a new source of Phase Noise that we have called Technical Phase Noise, which will appear when the loop phase shift to the resonance frequency f_0 is not 0° or an integer multiple of 360° (Barkhausen Phase Condition, BPC). This Phase Noise that will add to the Thermal one, comes from the random modulation of the loop gain carried out by the Amplitude Automatic Control fighting against noises trying to change the amplitude of the oscillating signal in the loop. In this case, the BPC failure gives rise to a random modulation of the frequency of the output signal that will be observed as more Phase Noise added to the Thermal one. To give an empirical proof on the existence of this new source of Phase Noise, an oscillator was designed and constructed around a “big” mechanical resonator whose Thermal Phase Noise is negligible for practical effects. The Technical Phase Noise of this oscillator has been measured with regard to the phase lag added to the feedback loop to separate it from its BPC, and with regard to the amplitude disturbance injected to show without ambiguity the appearance of this Technical Phase Noise that appears when the loop has this technical failure: that it does not fulfill the Barkhausen Phase Condition at f_0, the resonance frequency of the resonator and therefore it is oscillating at a frequency other than f_0.

Design Strategies and Modelling of Low-Power Sigma-Delta Analog-to-Digital Converters

Oggi, i dispositivi portatili sono diventati la forza trainante del mercato consumer e nuove sfide stanno emergendo per aumentarne le prestazioni, pur mantenendo un ragionevole tempo di vita della batteria. Il dominio digitale è la miglior soluzione per realizzare funzioni di elaborazione del segnale, grazie alla scalabilità della tecnologia CMOS, che spinge verso l'integrazione a livello sub-micrometrico. Infatti, la riduzione della tensione di alimentazione introduce limitazioni severe per raggiungere un range dinamico accettabile nel dominio analogico. Minori costi, minore consumo di potenza, maggiore resa e una maggiore riconfigurabilità sono i principali vantaggi dell'elaborazione dei segnali nel dominio digitale. Da più di un decennio, diverse funzioni puramente analogiche sono state spostate nel dominio digitale. Ciò significa che i convertitori analogico-digitali (ADC) stanno diventando i componenti chiave in molti sistemi elettronici. Essi sono, infatti, il ponte tra il mondo digitale e analogico e, di conseguenza, la loro efficienza e la precisione spesso determinano le prestazioni globali del sistema. I convertitori Sigma-Delta sono il blocco chiave come interfaccia in circuiti a segnale-misto ad elevata risoluzione e basso consumo di potenza. I tools di modellazione e simulazione sono strumenti efficaci ed essenziali nel flusso di progettazione. Sebbene le simulazioni a livello transistor danno risultati più precisi ed accurati, questo metodo è estremamente lungo a causa della natura a sovracampionamento di questo tipo di convertitore. Per questo motivo i modelli comportamentali di alto livello del modulatore sono essenziali per il progettista per realizzare simulazioni veloci che consentono di identificare le specifiche necessarie al convertitore per ottenere le prestazioni richieste. Obiettivo di questa tesi è la modellazione del comportamento del modulatore Sigma-Delta, tenendo conto di diverse non idealità come le dinamiche dell'integratore e il suo rumore termico. Risultati di simulazioni a livello transistor e dati sperimentali dimostrano che il modello proposto è preciso ed accurato rispetto alle simulazioni comportamentali.

Dynamics of Boolean networks: an exact solution

The dynamics of Boolean networks (BN) with quenched disorder and thermal noise is studied via the generating functional method. A general formulation, suitable for BN with any distribution of Boolean functions, is developed. It provides exact solutions and insight into the evolution of order parameters and properties of the stationary states, which are inaccessible via existing methodology. We identify cases where the commonly used annealed approximation is valid and others where it breaks down. Broader links between BN and general Boolean formulas are highlighted.

Electronic dispersion compensation using full optical-field reconstruction in 10Gbit/s OOK based systems

We investigate the design of electronic dispersion compensation (EDC) using full optical-field reconstruction in 10Gbit/s on-off keyed transmission systems limited by optical signal-to-noise ratio (OSNR). By effectively suppressing the impairment due to low- frequency component amplification in phase reconstruction, properly designing the transmission system configuration to combat fiber nonlinearity, and successfully reducing the vulnerability to thermal noise, a 4.8dB OSNR margin can be achieved for 2160km single-mode fiber transmission without any optical dispersion compensation. We also investigate the performance sensitivity of the scheme to various system parameters, and propose a novel method to greatly enhance the tolerance to differential phase misalignment of the asymmetric Mach-Zehnder interferometer. This numerical study provides important design guidelines which will enable full optical-field EDC to become a cost-effective dispersion compensation solution for future transparent optical networks.

Fluctuations and correlations in sandpiles and interfaces with boundary pinning

Interfaces are studied in an inhomogeneous critical state where boundary pinning is compensated with a ramped force. Sandpiles driven off the self-organized critical point provide an example of this ensemble in the Edwards-Wilkinson (EW) model of kinetic roughening. A crossover from quenched to thermal noise violates spatial and temporal translational invariances. The bulk temporal correlation functions have the effective exponents β1D∼0.88±0.03 and β2D∼0.52±0.05, while at the boundaries βb,1D/2D∼0.47±0.05. The bulk β1D is shown to be reproduced in a randomly kicked thermal EW model.

Fluctuations and correlations in sandpiles and interfaces with boundary pinning

Interfaces are studied in an inhomogeneous critical state where boundary pinning is compensated with a ramped force. Sandpiles driven off the self-organized critical point provide an example of this ensemble in the Edwards-Wilkinson (EW) model of kinetic roughening. A crossover from quenched to thermal noise violates spatial and temporal translational invariances. The bulk temporal correlation functions have the effective exponents β1D∼0.88±0.03 and β2D∼0.52±0.05, while at the boundaries βb,1D/2D∼0.47±0.05. The bulk β1D is shown to be reproduced in a randomly kicked thermal EW model.

Immunological synapse: a mathematical model of the bond formation process:mathematical modelling of the immature synapse

The cell:cell bond between an immune cell and an antigen presenting cell is a necessary event in the activation of the adaptive immune response. At the juncture between the cells, cell surface molecules on the opposing cells form non-covalent bonds and a distinct patterning is observed that is termed the immunological synapse. An important binding molecule in the synapse is the T-cell receptor (TCR), that is responsible for antigen recognition through its binding with a major-histocompatibility complex with bound peptide (pMHC). This bond leads to intracellular signalling events that culminate in the activation of the T-cell, and ultimately leads to the expression of the immune eector function. The temporal analysis of the TCR bonds during the formation of the immunological synapse presents a problem to biologists, due to the spatio-temporal scales (nanometers and picoseconds) that compare with experimental uncertainty limits. In this study, a linear stochastic model, derived from a nonlinear model of the synapse, is used to analyse the temporal dynamics of the bond attachments for the TCR. Mathematical analysis and numerical methods are employed to analyse the qualitative dynamics of the nonequilibrium membrane dynamics, with the specic aim of calculating the average persistence time for the TCR:pMHC bond. A single-threshold method, that has been previously used to successfully calculate the TCR:pMHC contact path sizes in the synapse, is applied to produce results for the average contact times of the TCR:pMHC bonds. This method is extended through the development of a two-threshold method, that produces results suggesting the average time persistence for the TCR:pMHC bond is in the order of 2-4 seconds, values that agree with experimental evidence for TCR signalling. The study reveals two distinct scaling regimes in the time persistent survival probability density prole of these bonds, one dominated by thermal uctuations and the other associated with the TCR signalling. Analysis of the thermal fluctuation regime reveals a minimal contribution to the average time persistence calculation, that has an important biological implication when comparing the probabilistic models to experimental evidence. In cases where only a few statistics can be gathered from experimental conditions, the results are unlikely to match the probabilistic predictions. The results also identify a rescaling relationship between the thermal noise and the bond length, suggesting a recalibration of the experimental conditions, to adhere to this scaling relationship, will enable biologists to identify the start of the signalling regime for previously unobserved receptor:ligand bonds. Also, the regime associated with TCR signalling exhibits a universal decay rate for the persistence probability, that is independent of the bond length.

Sistemas de cálculo, análise e operação virtual: interferências de campos elétricos e magnéticos produzidas por estações radio base de acesso múltiplo por divisão de código em banda larga - WCDMA

In this work it was developed mathematical resolutions taking as parameter maximum intensity values for the interference analysis of electric and magnetic fields and was given two virtual computer system that supports families of CDMA and WCDMA technologies. The first family were developed computational resources to solve electric and magnetic field calculations and power densities in Radio Base stations , with the use of CDMA technology in the 800 MHz band , taking into account the permissible values referenced by the Commission International Protection on non-Ionizing Radiation . The first family is divided into two segments of calculation carried out in virtual operation. In the first segment to compute the interference field radiated by the base station with input information such as radio channel power; Gain antenna; Radio channel number; Operating frequency; Losses in the cable; Attenuation of direction; Minimum Distance; Reflections. Said computing system allows to quickly and without the need of implementing instruments for measurements, meet the following calculated values: Effective Radiated Power; Sector Power Density; Electric field in the sector; Magnetic field in the sector; Magnetic flux density; point of maximum permissible exposure of electric field and power density. The results are shown in charts for clarity of view of power density in the industry, as well as the coverage area definition. The computer module also includes folders specifications antennas, cables and towers used in cellular telephony, the following manufacturers: RFS World, Andrew, Karthein and BRASILSAT. Many are presented "links" network access "Internet" to supplement the cable specifications, antennas, etc. . In the second segment of the first family work with more variables , seeking to perform calculations quickly and safely assisting in obtaining results of radio signal loss produced by ERB . This module displays screens representing propagation systems denominated "A" and "B". By propagating "A" are obtained radio signal attenuation calculations in areas of urban models , dense urban , suburban , and rural open . In reflection calculations are present the reflection coefficients , the standing wave ratio , return loss , the reflected power ratio , as well as the loss of the signal by mismatch impedance. With the spread " B" seek radio signal losses in the survey line and not targeted , the effective area , the power density , the received power , the coverage radius , the conversion levels and the gain conversion systems radiant . The second family of virtual computing system consists of 7 modules of which 5 are geared towards the design of WCDMA and 2 technology for calculation of telephone traffic serving CDMA and WCDMA . It includes a portfolio of radiant systems used on the site. In the virtual operation of the module 1 is compute-: distance frequency reuse, channel capacity with noise and without noise, Doppler frequency, modulation rate and channel efficiency; Module 2 includes computes the cell area, thermal noise, noise power (dB), noise figure, signal to noise ratio, bit of power (dBm); with the module 3 reaches the calculation: breakpoint, processing gain (dB) loss in the space of BTS, noise power (w), chip period and frequency reuse factor. Module 4 scales effective radiated power, sectorization gain, voice activity and load effect. The module 5 performs the calculation processing gain (Hz / bps) bit time, bit energy (Ws). Module 6 deals with the telephone traffic and scales 1: traffic volume, occupancy intensity, average time of occupancy, traffic intensity, calls completed, congestion. Module 7 deals with two telephone traffic and allows calculating call completion and not completed in HMM. Tests were performed on the mobile network performance field for the calculation of data relating to: CINP , CPI , RSRP , RSRQ , EARFCN , Drop Call , Block Call , Pilot , Data Bler , RSCP , Short Call, Long Call and Data Call ; ECIO - Short Call and Long Call , Data Call Troughput . As survey were conducted surveys of electric and magnetic field in an ERB , trying to observe the degree of exposure to non-ionizing radiation they are exposed to the general public and occupational element. The results were compared to permissible values for health endorsed by the ICNIRP and the CENELEC .