Test hardware del secondo batch di schede ROD per il layer 2 del pixel detector dell'esperimento ATLAS al CERN

In questa tesi viene seguito il lavoro di test delle schede ROD del layer 2 del Pixel Detector dell’ esperimento ATLAS, che mira a verificare la loro corretta funzionalità, prima che vengano spedite nei laboratori del CERN. Queste nuove schede gestiscono i segnali in arrivo dal Pixel Detector di ATLAS, per poi inviarli ai computer per la successiva elaborazione. Le schede ROD andranno a sostituire le precedenti schede SiROD nella catena di acquisizione dati dell’esperimento, procedendo dal nuovo strato IBL, e proseguendo con i tre layer del Pixel Detector, corroborando l’aggiornamento tecnologico e prestazionale necessario in vista dell’incremento di luminosità dell’esperimento.

Scheda di controllo JTAG per l'elettronica di readout del pixel detector dell'esperimento ATLAS

Il sistema di acquisizione dati del nuovo layer IBL di ATLAS conta attualmente 15 schede ROD attive sull’esperimento. In ognuna di queste schede sono presenti due catene JTAG per la programmazione e il test. La prima catena è facilmente accessibile da remoto tramite uno standard VME o Ethernet, mentre la seconda è accessibile solo tramite un programmatore JTAG. Accedere alla catena secondaria di tutte 15 le ROD è in primo luogo sconveniente poiché sarebbero necessari 15 programmatori diversi; in secondo luogo potrebbe risultare difficoltoso doverli gestire tutti da un unico computer. Nasce così l’esigenza di sviluppare un’elettronica aggiuntiva con funzione di controllo che riesca, tramite un unico programmatore, a distribuire un segnale JTAG in ingresso a 15 uscite selezionabili in maniera esclusiva. In questa tesi vengono illustrati i vari passaggi che hanno portato alla realizzazione del progetto ponendo attenzione alla scelta, al funzionamento e all’eventuale programmazione dei componenti elettronici che lo costituiscono. Per ogni parte è stato realizzato un ambiente hardware di prototipazione che ne ha garantito il test delle funzionalità. La scheda, basata su un microcontrollore ATmega 328-P, è attualmente in fase di completamento nel laboratorio di progettazione elettronica dell’INFN di Bologna. Il prototipo studiato e realizzato tramite il lavoro di questa tesi verrà anche utilizzato in ambiente CERN una volta che ne sarà convalidata l’affidabilità e potrà anche essere facilmente adattato a tutti gli esperimenti che usano un protocollo JTAG per la programmazione di dispositivi remoti.

Test vector generation for the phase II ATLAS event filter trigger upgrade

In the near future, the LHC experiments will continue to be upgraded as the LHC luminosity will increase from the design 1034 to 7.5 × 1034, with the HL-LHC project, to reach 3000 × f b−1 of accumulated statistics. After the end of a period of data collection, CERN will face a long shutdown to improve overall performance by upgrading the experiments and implementing more advanced technologies and infrastructures. In particular, ATLAS will upgrade parts of the detector, the trigger, and the data acquisition system. It will also implement new strategies and algorithms for processing and transferring the data to the final storage. This PhD thesis presents a study of a new pattern recognition algorithm to be used in the trigger system, which is a software designed to provide the information necessary to select physical events from background data. The idea is to use the well-known Hough Transform mathematical formula as an algorithm for detecting particle trajectories. The effectiveness of the algorithm has already been validated in the past, independently of particle physics applications, to detect generic shapes in images. Here, a software emulation tool is proposed for the hardware implementation of the Hough Transform, to reconstruct the tracks in the ATLAS Trigger and Data Acquisition system. Until now, it has never been implemented on electronics in particle physics experiments, and as a hardware implementation it would provide overall latency benefits. A comparison between the simulated data and the physical system was performed on a Xilinx UltraScale+ FPGA device.

Measurement of the forward-backward asymmetry of Z boson decays in electron-positron pairs with the ATLAS detector in proton-proton collisions at root out s = 7TeV at the LHC

In this thesis the measurement of the effective weak mixing angle wma in proton-proton collisions is described. The results are extracted from the forward-backward asymmetry (AFB) in electron-positron final states at the ATLAS experiment at the LHC. The AFB is defined upon the distribution of the polar angle between the incoming quark and outgoing lepton. The signal process used in this study is the reaction pp to zgamma + X to ee + X taking a total integrated luminosity of 4.8\,fb^(-1) of data into account. The data was recorded at a proton-proton center-of-mass energy of sqrt(s)=7TeV. The weak mixing angle is a central parameter of the electroweak theory of the Standard Model (SM) and relates the neutral current interactions of electromagnetism and weak force. The higher order corrections on wma are related to other SM parameters like the mass of the Higgs boson.rnrnBecause of the symmetric initial state constellation of colliding protons, there is no favoured forward or backward direction in the experimental setup. The reference axis used in the definition of the polar angle is therefore chosen with respect to the longitudinal boost of the electron-positron final state. This leads to events with low absolute rapidity have a higher chance of being assigned to the opposite direction of the reference axis. This effect called dilution is reduced when events at higher rapidities are used. It can be studied including electrons and positrons in the forward regions of the ATLAS calorimeters. Electrons and positrons are further referred to as electrons. To include the electrons from the forward region, the energy calibration for the forward calorimeters had to be redone. This calibration is performed by inter-calibrating the forward electron energy scale using pairs of a central and a forward electron and the previously derived central electron energy calibration. The uncertainty is shown to be dominated by the systematic variations.rnrnThe extraction of wma is performed using chi^2 tests, comparing the measured distribution of AFB in data to a set of template distributions with varied values of wma. The templates are built in a forward folding technique using modified generator level samples and the official fully simulated signal sample with full detector simulation and particle reconstruction and identification. The analysis is performed in two different channels: pairs of central electrons or one central and one forward electron. The results of the two channels are in good agreement and are the first measurements of wma at the Z resonance using electron final states at proton-proton collisions at sqrt(s)=7TeV. The precision of the measurement is already systematically limited mostly by the uncertainties resulting from the knowledge of the parton distribution functions (PDF) and the systematic uncertainties of the energy calibration.rnrnThe extracted results of wma are combined and yield a value of wma_comb = 0.2288 +- 0.0004 (stat.) +- 0.0009 (syst.) = 0.2288 +- 0.0010 (tot.). The measurements are compared to the results of previous measurements at the Z boson resonance. The deviation with respect to the combined result provided by the LEP and SLC experiments is up to 2.7 standard deviations.

Firmware development and testing for L1/L2 IBL upgrade

Il lavoro di questa tesi riguarda principalmente l'upgrade, la simulazione e il test di schede VME chiamate ReadOut Driver (ROD), che sono parte della catena di elaborazione ed acquisizione dati di IBL (Insertable B-Layer). IBL è il nuovo componente del Pixel Detector dell'esperimento ATLAS al Cern che è stato inserito nel detector durante lo shut down di LHC; fino al 2012 infatti il Pixel Detector era costituito da tre layer, chiamati (partendo dal più interno): Barrel Layer 0, Layer 1 e Layer 2. Tuttavia, l'aumento di luminosità di LHC, l'invecchiamento dei pixel e la richiesta di avere misure sempre più precise, portarono alla necessità di migliorare il rivelatore. Così, a partire dall'inizio del 2013, IBL (che fino a quel momento era stato un progetto sviluppato e finanziato separatamente dal Pixel Detector) è diventato parte del Pixel Detector di ATLAS ed è stato installato tra la beam-pipe e il layer B0. Questa tesi fornirà innanzitutto una panoramica generale dell'esperimento ATLAS al CERN, includendo aspetti sia fisici sia tecnici, poi tratterà in dettaglio le varie parti del rivelatore, con particolare attenzione su Insertable B-Layer. Su quest'ultimo punto la tesi si focalizzerà sui motivi che ne hanno portato alla costruzione, sugli aspetti di design, sulle tecnologie utilizzate (volte a rendere nel miglior modo possibile compatibili IBL e il resto del Pixel Detector) e sulle scelte di sviluppo e fabbricazione. La tesi tratterà poi la catena di read-out dei dati, descrivendo le tecniche di interfacciamento con i chip di front-end, ed in particolare si concentrerà sul lavoro svolto per l'upgrade e lo sviluppo delle schede ReadOut Drivers (ROD) introducendo le migliorie da me apportate, volte a eliminare eventuali difetti, migliorare le prestazioni ed a predisporre il sistema ad una analisi prestazionale del rivelatore. Allo stato attuale le schede sono state prodotte e montate e sono già parte del sistema di acquisizione dati del Pixel Detector di ATLAS, ma il firmware è in continuo aggiornamento. Il mio lavoro si è principalmente focalizzato sul debugging e il miglioramento delle schede ROD; in particolare ho aggiunto due features: - programmazione parallela delle FPGA} delle ROD via VME. IBL richiede l'utilizzo di 15 schede ROD e programmandole tutte insieme (invece che una alla volta) porta ad un sensibile guadagno nei tempi di programmazione. Questo è utile soprattutto in fase di test; - reset del Phase-Locked Loop (PLL)} tramite VME. Il PLL è un chip presente nelle ROD che distribuisce il clock a tutte le componenti della scheda. Avere la possibilità di resettare questo chip da remoto permette di risolvere problemi di sincronizzazione. Le ReadOut Driver saranno inoltre utilizzate da più layer del Pixel Detector. Infatti oltre ad IBL anche i dati provenienti dai layer 1 e 2 dei sensori a pixel dell’esperimento ATLAS verranno acquisiti sfruttando la catena hardware progettata, realizzata e testata a Bologna.

Detectores monolíticos y sensores compatibles con altos campos magnéticos para tomografía por emisión de positrones

Esta tesis recoje un trabajo experimental centrado en profundizar sobre el conocimiento de los bloques detectores monolíticos como alternativa a los detectores segmentados para tomografía por emisión de positrones (Positron Emission Tomography, PET). El trabajo llevado a cabo incluye el desarrollo, la caracterización, la puesta a punto y la evaluación de prototipos demostradores PET utilizando bloques monolíticos de ortosilicato de lutecio ytrio dopado con cerio (Cerium-Doped Lutetium Yttrium Orthosilicate, LYSO:Ce) usando sensores compatibles con altos campos magnéticos, tanto fotodiodos de avalancha (Avalanche Photodiodes, APDs) como fotomultiplicadores de silicio (Silicon Photomultipliers, SiPMs). Los prototipos implementados con APDs se construyeron para estudiar la viabilidad de un prototipo PET de alta sensibilidad previamente simulado, denominado BrainPET. En esta memoria se describe y caracteriza la electrónica frontal integrada utilizada en estos prototipos junto con la electrónica de lectura desarrollada específicamente para los mismos. Se muestran los montajes experimentales para la obtención de las imágenes tomográficas PET y para el entrenamiento de los algoritmos de red neuronal utilizados para la estimación de las posiciones de incidencia de los fotones γ sobre la superficie de los bloques monolíticos. Con el prototipo BrainPET se obtuvieron resultados satisfactorios de resolución energética (13 % FWHM), precisión espacial de los bloques monolíticos (~ 2 mm FWHM) y resolución espacial de la imagen PET de 1,5 - 1,7 mm FWHM. Además se demostró una capacidad resolutiva en la imagen PET de ~ 2 mm al adquirir simultáneamente imágenes de fuentes radiactivas separadas a distancias conocidas. Sin embargo, con este prototipo se detectaron también dos limitaciones importantes. En primer lugar, se constató una falta de flexibilidad a la hora de trabajar con un circuito integrado de aplicación específica (Application Specific Integrated Circuit, ASIC) cuyo diseño electrónico no era propio sino comercial, unido al elevado coste que requieren las modificaciones del diseño de un ASIC con tales características. Por otra parte, la caracterización final de la electrónica integrada del BrainPET mostró una resolución temporal con amplio margen de mejora (~ 13 ns FWHM). Tomando en cuenta estas limitaciones obtenidas con los prototipos BrainPET, junto con la evolución tecnológica hacia matrices de SiPM, el conocimiento adquirido con los bloques monolíticos se trasladó a la nueva tecnología de sensores disponible, los SiPMs. A su vez se inició una nueva estrategia para la electrónica frontal, con el ASIC FlexToT, un ASIC de diseño propio basado en un esquema de medida del tiempo sobre umbral (Time over Threshold, ToT), en donde la duración del pulso de salida es proporcional a la energía depositada. Una de las características más interesantes de este esquema es la posibilidad de manejar directamente señales de pulsos digitales, en lugar de procesar la amplitud de las señales analógicas. Con esta arquitectura electrónica se sustituyen los conversores analógicos digitales (Analog to Digital Converter, ADCs) por conversores de tiempo digitales (Time to Digital Converter, TDCs), pudiendo implementar éstos de forma sencilla en matrices de puertas programmable ‘in situ’ (Field Programmable Gate Array, FPGA), reduciendo con ello el consumo y la complejidad del diseño. Se construyó un nuevo prototipo demostrador FlexToT para validar dicho ASIC para bloques monolíticos o segmentados. Se ha llevado a cabo el diseño y caracterización de la electrónica frontal necesaria para la lectura del ASIC FlexToT, evaluando su linealidad y rango dinámico, el comportamiento frente a ruido así como la no linealidad diferencial obtenida con los TDCs implementados en la FPGA. Además, la electrónica presentada en este trabajo es capaz de trabajar con altas tasas de actividad y de discriminar diferentes centelleadores para aplicaciones phoswich. El ASIC FlexToT proporciona una excelente resolución temporal en coincidencia para los eventos correspondientes con el fotopico de 511 keV (128 ps FWHM), solventando las limitaciones de resolución temporal del prototipo BrainPET. Por otra parte, la resolución energética con bloques monolíticos leidos por ASICs FlexToT proporciona una resolución energética de 15,4 % FWHM a 511 keV. Finalmente, se obtuvieron buenos resultados en la calidad de la imagen PET y en la capacidad resolutiva del demostrador FlexToT, proporcionando resoluciones espaciales en el centro del FoV en torno a 1,4 mm FWHM. ABSTRACT This thesis is focused on the development of experimental activities used to deepen the knowledge of monolithic detector blocks as an alternative to segmented detectors for Positron Emission Tomography (PET). It includes the development, characterization, setting up, running and evaluation of PET demonstrator prototypes with monolithic detector blocks of Cerium-doped Lutetium Yttrium Orthosilicate (LYSO:Ce) using magnetically compatible sensors such as Avalanche Photodiodes (APDs) and Silicon Photomultipliers (SiPMs). The prototypes implemented with APDs were constructed to validate the viability of a high-sensitivity PET prototype that had previously been simulated, denominated BrainPET. This work describes and characterizes the integrated front-end electronics used in these prototypes, as well as the electronic readout system developed especially for them. It shows the experimental set-ups to obtain the tomographic PET images and to train neural networks algorithms used for position estimation of photons impinging on the surface of monolithic blocks. Using the BrainPET prototype, satisfactory energy resolution (13 % FWHM), spatial precision of monolithic blocks (~ 2 mm FWHM) and spatial resolution of the PET image (1.5 – 1.7 mm FWHM) in the center of the Field of View (FoV) were obtained. Moreover, we proved the imaging capabilities of this demonstrator with extended sources, considering the acquisition of two simultaneous sources of 1 mm diameter placed at known distances. However, some important limitations were also detected with the BrainPET prototype. In the first place, it was confirmed that there was a lack of flexibility working with an Application Specific Integrated Circuit (ASIC) whose electronic design was not own but commercial, along with the high cost required to modify an ASIC design with such features. Furthermore, the final characterization of the BrainPET ASIC showed a timing resolution with room for improvement (~ 13 ns FWHM). Taking into consideration the limitations obtained with the BrainPET prototype, along with the technological evolution in magnetically compatible devices, the knowledge acquired with the monolithic blocks were transferred to the new technology available, the SiPMs. Moreover, we opted for a new strategy in the front-end electronics, the FlexToT ASIC, an own design ASIC based on a Time over Threshold (ToT) scheme. One of the most interesting features underlying a ToT architecture is the encoding of the analog input signal amplitude information into the duration of the output signals, delivering directly digital pulses. The electronic architecture helps substitute the Analog to Digital Converters (ADCs) for Time to Digital Converters (TDCs), and they are easily implemented in Field Programmable Gate Arrays (FPGA), reducing the consumption and the complexity of the design. A new prototype demonstrator based on SiPMs was implemented to validate the FlexToT ASIC for monolithic or segmented blocks. The design and characterization of the necessary front-end electronic to read-out the signals from the ASIC was carried out by evaluating its linearity and dynamic range, its performance with an external noise signal, as well as the differential nonlinearity obtained with the TDCs implemented in the FPGA. Furthermore, the electronic presented in this work is capable of working at high count rates and discriminates different phoswich scintillators. The FlexToT ASIC provides an excellent coincidence time resolution for events that correspond to 511 keV photopeak (128 ps FWHM), resolving the limitations of the poor timing resolution of the BrainPET prototype. Furthermore, the energy resolution with monolithic blocks read by FlexToT ASICs provides an energy resolution of 15.4 % FWHM at 511 keV. Finally, good results were obtained in the quality of the PET image and the resolving power of the FlexToT demonstrator, providing spatial resolutions in the centre of the FoV at about 1.4 mm FWHM.

Laser scanned photodiodes (LSPs) for image sensing

An optimized ZnO:Al/a-pin SixC1-x:H/Al configuration for the laser scanned photodiode (LSP) imaging detector is proposed and the read-out parameters improved. The effect of the sensing element structure, cell configuration and light source flux are investigated and correlated with the sensor output characteristics. Data reveals that for sensors with wide band gap doped layers an increase on the image signal optimized to the blue is achieved with a dynamic range of two orders of magnitude, a responsivity of 6 mA W-1 and a sensitivity of 17 muW cm(-2) at 530 nm. The main output characteristics such as image responsivity, resolution, linearity and dynamic range were analyzed under reverse, forward and short circuit modes. The results show that the sensor performance can be optimized in short circuit mode. A trade-off between the scan time and the required resolution is needed since the spot size limits the resolution due to the cross-talk between dark and illuminated regions leading to blurring effects.

Some reflections on acquisition, processing and analysis of statistical data in forest soils

Beyond the classical statistical approaches (determination of basic statistics, regression analysis, ANOVA, etc.) a new set of applications of different statistical techniques has increasingly gained relevance in the analysis, processing and interpretation of data concerning the characteristics of forest soils. This is possible to be seen in some of the recent publications in the context of Multivariate Statistics. These new methods require additional care that is not always included or refered in some approaches. In the particular case of geostatistical data applications it is necessary, besides to geo-reference all the data acquisition, to collect the samples in regular grids and in sufficient quantity so that the variograms can reflect the spatial distribution of soil properties in a representative manner. In the case of the great majority of Multivariate Statistics techniques (Principal Component Analysis, Correspondence Analysis, Cluster Analysis, etc.) despite the fact they do not require in most cases the assumption of normal distribution, they however need a proper and rigorous strategy for its utilization. In this work, some reflections about these methodologies and, in particular, about the main constraints that often occur during the information collecting process and about the various linking possibilities of these different techniques will be presented. At the end, illustrations of some particular cases of the applications of these statistical methods will also be presented.

Automatização de sistema de medição múltiplo de ensaio de manómetros analógicos

A dissertação em apreço resultou da necessidade em otimizar os recursos técnicos, mas sobretudo humanos, afetos às verificações de instrumentos de medição, no âmbito do Controlo Metrológico Legal. Estas verificações, realizadas nos termos do cumprimento das competências outrora atribuídas à Direção de Serviços da Qualidade da então Direção Regional da Economia do Norte, eram operacionalizadas pela Divisão da Qualidade e Licenciamento, na altura dirigida pelo subscritor da presente tese, nomeadamente no que respeita aos ensaios efetuados, em laboratório, a manómetros analógicos. O objetivo principal do trabalho foi alcançado mediante o desenvolvimento de um automatismo, materializado pela construção de um protótipo, cuja aplicação ao comparador de pressão múltiplo, dantes em utilização, permitiria realizar a leitura da indicação de cada manómetro analógico através de técnicas de processamento de imagem, função esta tradicionalmente efetuada manualmente por um operador especializado. As metodologias de comando, controlo e medição desse automatismo foram realizadas através de um algoritmo implementado no software LabVIEW® da National Intruments, particularmente no que respeita ao referido processamento das imagens adquiridas por uma câmara de vídeo USB. A interface com o hardware foi concretizada recorrendo a um módulo de Aquisição de Dados Multifuncional (DAQ) USB-6212, do mesmo fabricante. Para o posicionamento horizontal e vertical da câmara de vídeo USB, recorreu-se a guias lineares acionadas por motores de passo, sendo que estes dispositivos foram igualmente empregues no acionamento do comparador de pressão. Por último, procedeu-se à aquisição digital da leitura do padrão, recorrendo à respetiva virtualização, bem como a uma aplicação desenvolvida neste projeto, designada appMAN, destinada à gestão global do referido automatismo, nomeadamente no que se refere ao cálculo do resultado da medição, erro e incerteza associada, e emissão dos respetivos documentos comprovativos.

Amorphous silicon e 3D sensors applied to object detection

Nowadays, existing 3D scanning cameras and microscopes in the market use digital or discrete sensors, such as CCDs or CMOS for object detection applications. However, these combined systems are not fast enough for some application scenarios since they require large data processing resources and can be cumbersome. Thereby, there is a clear interest in exploring the possibilities and performances of analogue sensors such as arrays of position sensitive detectors with the final goal of integrating them in 3D scanning cameras or microscopes for object detection purposes. The work performed in this thesis deals with the implementation of prototype systems in order to explore the application of object detection using amorphous silicon position sensors of 32 and 128 lines which were produced in the clean room at CENIMAT-CEMOP. During the first phase of this work, the fabrication and the study of the static and dynamic specifications of the sensors as well as their conditioning in relation to the existing scientific and technological knowledge became a starting point. Subsequently, relevant data acquisition and suitable signal processing electronics were assembled. Various prototypes were developed for the 32 and 128 array PSD sensors. Appropriate optical solutions were integrated to work together with the constructed prototypes, allowing the required experiments to be carried out and allowing the achievement of the results presented in this thesis. All control, data acquisition and 3D rendering platform software was implemented for the existing systems. All these components were combined together to form several integrated systems for the 32 and 128 line PSD 3D sensors. The performance of the 32 PSD array sensor and system was evaluated for machine vision applications such as for example 3D object rendering as well as for microscopy applications such as for example micro object movement detection. Trials were also performed involving the 128 array PSD sensor systems. Sensor channel non-linearities of approximately 4 to 7% were obtained. Overall results obtained show the possibility of using a linear array of 32/128 1D line sensors based on the amorphous silicon technology to render 3D profiles of objects. The system and setup presented allows 3D rendering at high speeds and at high frame rates. The minimum detail or gap that can be detected by the sensor system is approximately 350 μm when using this current setup. It is also possible to render an object in 3D within a scanning angle range of 15º to 85º and identify its real height as a function of the scanning angle and the image displacement distance on the sensor. Simple and not so simple objects, such as a rubber and a plastic fork, can be rendered in 3D properly and accurately also at high resolution, using this sensor and system platform. The nip structure sensor system can detect primary and even derived colors of objects by a proper adjustment of the integration time of the system and by combining white, red, green and blue (RGB) light sources. A mean colorimetric error of 25.7 was obtained. It is also possible to detect the movement of micrometer objects using the 32 PSD sensor system. This kind of setup offers the possibility to detect if a micro object is moving, what are its dimensions and what is its position in two dimensions, even at high speeds. Results show a non-linearity of about 3% and a spatial resolution of < 2µm.

Modelling Z→ττ processes in ATLAS with τ-embedded Z→μμ data

This paper describes the concept, technical realisation and validation of a largely data-driven method to model events with Z→ττ decays. In Z→μμ events selected from proton-proton collision data recorded at s√=8 TeV with the ATLAS experiment at the LHC in 2012, the Z decay muons are replaced by τ leptons from simulated Z→ττ decays at the level of reconstructed tracks and calorimeter cells. The τ lepton kinematics are derived from the kinematics of the original muons. Thus, only the well-understood decays of the Z boson and τ leptons as well as the detector response to the τ decay products are obtained from simulation. All other aspects of the event, such as the Z boson and jet kinematics as well as effects from multiple interactions, are given by the actual data. This so-called τ-embedding method is particularly relevant for Higgs boson searches and analyses in ττ final states, where Z→ττ decays constitute a large irreducible background that cannot be obtained directly from data control samples.

Desarrollo de un sistema integrado de navegación inercial: interfície IMU + FPGA

Els sistemes automatitzats que requereixen d’un control d’estabilitat o moviment es poden trobar cada cop en més àmbits. Aplicacions UAV o de posicionament global són les més comunes per aquest tipus de sistemes, degut a que necessiten d’un control de moviment molt precís. Per a dur a terme aquest procés s’utilitzen unitats de mesura inercial, que mitjançant acceleròmetres i giroscopis degudament posicionats, a més a més d’una correcció del possible error que puguin introduir aquests últims, proporcionen una acceleració i una velocitat angular de les quals es pot extreure el camí efectuat per aquestes unitats. La IMU, combinada amb un GPS i mitjançant un filtre de Kalman, proporcionen una major exactitud , a més d’un punt de partida (proporcionat per el GPS), un recorregut representable en un mapa y, en el cas de perdre la senyal GPS, poder seguir adquirint dades de la IMU. Aquestes dades poden ser recollides i processades per una FPGA, que a la vegada podem sincronitzar amb una PDA per a que l’usuari pugui veure representat el moviment del sistema. Aquest treball es centra en el funcionament de la IMU i l’adquisició de dades amb la FPGA. També introdueix el filtre de Kalman per a la correcció de l’error dels sensors.