Three different algorithms for the generation of stationary Gaussian time series with given autocorrelation function are presented in this paper. The algorithms have already been suggested in the literature but are not well known and have never been compared before. Interrelations between the different methods, advantages and disadvantages with respect to speed and memory requirements and the range of autocorrelation functions for which the different methods are stable are discussed. The time-complexity of the algorithms and the comparisons of their implementations show that the method twice using the Fourier transform is by far the most efficient if time series of moderate or large length are generated. A tested C-code of the latter algorithm is included as this method is tricky to implement and very difficult to find in the literature. (We know only one reference, that gives a correct algorithm, but there the description is very short and no proof is included.) (author's abstract) / Series: Preprint Series / Department of Applied Statistics and Data Processing

The Fast Fourier Transform (FFT) has been used in many scientific and engineering applications. The use of FFT for financial derivatives has been gaining momentum in the recent past. In this thesis, i) we have improved a recently proposed model of FFT for pricing financial derivatives to help design an efficient parallel algorithm. The improved mathematical model put forth in our research bridges a gap between quantitative approaches for the option pricing problem and practical implementation of such approaches on modern computer architectures. The thesis goes further by proving that the improved model of fast Fourier transform for option pricing produces accurate option values. ii) We have developed a parallel algorithm for the FFT using the classical Cooley-Tukey algorithm and improved this algorithm by introducing a data swapping technique that brings data closer to the respective processors and hence reduces the communication overhead to a large extent leading to better performance of the parallel algorithm. We have tested the new algorithm on a 20 node SunFire 6800 high performance computing system and compared the new algorithm with the traditional Cooley-Tukey algorithm. Option values are calculated for various strike prices with a proper selection of strike-price spacing to ensure fine-grid integration for FFT computation as well as to maximize the number of strikes lying in the desired region of the stock price. Compared to the traditional Cooley-Tukey algorithm, the current algorithm with data swapping performs better by more than 15% for large data sizes. In the rapidly changing market place, these improvements could mean a lot for an investor or financial institution because obtaining faster results offers a competitive advantages.

We present the application of the boundary integral equation method for solving the motion of biological cell or particle under Stokes flow in the presence of electrostatic field. The huge dense matrix-vector product from the boundary integral method poses a computationally challenging problem for solving the large system of equations generated. In our work, we used the precorrected-FFT (pFFT) method to reduce the computational time and memory usage drastically, so that large scale simulations can be performed quickly on a personal computer. Results on the force field acting on the particle, as well as the behavior of the particle through cell trap are presented. / Singapore-MIT Alliance (SMA)

Modern embedded systems complexity, performance and energy efficiency has been increasing steeply the last few years. An explosive growth in demand for wireless communication is observed as well and modern wireless links are expected to deliver bit rates of several gigabits while consuming even less energy. In order to satisfy these needs new technologies emerge and novel design approaches are put into practice. Communication at 60 GHz is such a technology that is able to deliver high bit rates in short range wireless links. A major motivation to use the 60 GHz spectrum is the worldwide availability which makes exploitation economically viable. Moreover, small wavelength of only 5 mm promises high integration due to small antenna component size which is one of the main bottlenecks for reducing the dimensions. However, increased frequency comes with many disadvantages as well. To increase the market potential of such a new technology the chip design needs to be cheap and energy-efficient. Such cost and energy constrains heavily impact the performance and the quality of both the analog and the digital components of the chip. In the current thesis the design possibilities of a component in the digital baseband of the receiver of such a chip are explored. The component under investigation is a Fast Fourier Transform (FFT) that is used for frequency domain equalization. This part of the receiver is used to reduce the effects of multipath in a non line-ofsight communication environment and as this is a common case in wireless communication the FFT block has been identified as one of the 2 most computational intensive components of the receiver in 60 GHz. This is the main reason why we explore possibilities to further decrease the power consumption of the block while maintaining the performance and the quality of service. To achieve this reduction the possibilities of a new design concept are explored. System Scenarios is a new design concept for embedded systems operating in dynamic environments. Wireless communication systems exhibit high dynamism during their operation on highly varying data streams, providing the System Scenarios huge xvi capabilities. The essential idea behind system scenarios is the classification of the application under investigation from a cost perspective during design time. Then, the classification is exploited during run time resulting to an overall improved implementation of the application. To achieve this the application is broken down to run-time situations (RTS) which are distinguishable operation modes of the application. Then RTSs with similar costs are clustered to form system scenarios. Finally for each scenario a different mapping and scheduling of the application is generated. In the case of the current thesis the application is the FFT and the cost perspective is the power consumption of the component. To exploit the RTS clustering in run time different quantization schemes have been produced. These schemes have been generated based on various properties of the data waveforms in the input of the FFT. The thesis explores the potential of the System Scenarios as well as the application of a quantization methodology for the FFT. Different options of the RTS clustering and the quantization of the FFT block are evaluated in order to come up with a more efficient implementation. / Τα σύγχρονα ηλεκτρονικά συστήματα παρέχουν στους χρήστες έναν καθημερινά αυξανόμενο αριθμό υπηρεσιών και λειτουργιών. Η ζήτηση τς αγοράς για ϕθηνές, αξιόπιστες και ϕορητές ηλεκτρονικές συ- σκευές ωθεί τα όρια του σχεδιασμού των ενσωματωμένων συστημάτων σε νέες ανεξερεύνητες περιοχές. Η ϕορητότητα απαιτεί την αϕαίρεση όλων των καλωδίων είτε για μετάδοση δεδομένων είτε για ενέργεια. Για να επιτευχθεί αυτό, η ασύρματη επικοινωνία σε υψηλό ρυθμό μετάδοσης είναι επιθυμητή χωρίς να θυσιαστεί η υψηλή ενεργειακή απο- δοτικότητα που καθιστά την συσκευή αυτόνομη από το ενεργειακό δίκτυο για μεγάλες χρονικές περιόδους. Η συνεχής αύξηση στις προδιαγραϕές των σύγχρονων ενσωματομένων συστημάτων έχει οδηγήσει στην χρήση καινοτόμων ιδεών, προσεγγίσεων και τεχνολογιών. Μια νέα τεχνολογία που υπόσχεται υψηλή ολοκλήρωση και υψηλό ρυθμό μετάδοσης δεδομένων στις ασύρματες ζεύξεις είναι η επικοινωνία στα 60 GHz. Μια νέα προσέγγιση σχεδιασμού για ενσωματομένα συστήματα υπόσχεται αποτελεσματική εκμετάλευση του δυναμισμού που μπορεί να παρουσιάζει ένα σύστημα. Τα ασύρματα συστήματα επικοινωνίας λειτουργούν τυπικά σε πολύ δυναμικά περιβάλλοντα. Τα Σενάρια συστήματος έχουν μεγάλες δυνατότητες για να βελτιώσουν την αποτελεσματικότητα της υλοποίησης των ψηϕιακών βάσεων τέτοιων συστημάτων. Στην παρούσα διπλωματική εξερευνούμε της δυνατότητες της αρχιτεκτονικής του FFT που βρίσκεται στην πλευρά του δέκτη ενός πομποδέκτη στα 60 GHz. Ο FFT είναι μέρος της εξίσωσης στο πεδίο της συχνότητας που χρησιμοποιείται για να μειώσει της επιδράσεις του ϕαινομένου multipath. Χρησιμοποιώντας Σενάρια Συστήματος προσπαθούμε να καταλήξουμε με μια πιο προσαρμοστική και συνεπώς πιο ενεργειακά αποδοτική υλοποίηση του μετασχηματισμού. Η εϕαρμογή των Σεναρίων Συστήματος χρησιμοποιώντας δεδομένα ως παράμετρο είναι μια καινοτόμα προσέγγιση και σε αυτή την διπλωματική εργασία ελέγχουμε την επιτευξιμότητα της. Για να επιτύχουμε κάτι τέτοιο πρέπει να μπορούμε να παράγουμε πολλαπλά διαϕορετικά σχέδια κβαντοποίησης του μετασχηματισμού σε αποδεκτά χρονικά διαστήματα. Οι παρούσες μέθοδοι κβαντοποίησης δεν μπορούν ακόμα να παρέχουν τέτοια δυνατότητα. Έτσι βασιζόμενοι στην επέκταση μια υπάρχουσας μεθοδολογίας προτείνουμε μια ολοκληρωμένη μεθοδολογία που μπορεί να παράγει σχέδια κβαντοποίησης μεγάλων στοιχείων υλικού όπως ο FFT.

O monitoramento de vibração de máquinas rotativas é de grande interesse da indústria, uma vez que se tem a possibilidade de detectar, com certa antecedência, problemas relacionados à condição de funcionamento do equipamento, possibilitando reparos, ajustes ou consertos e, assim, minimizando custos no caso de falhas graves ou paradas inesperadas. Neste trabalho é feita a adequação de uma bancada de testes para estudo de técnicas de detecção de falhas em rolamentos de esferas por análise de vibração. O objetivo é o de localizar falhas em rolamentos utilizando o monitoramento dos sinais das vibrações (aceleração) no mancal que suporta o rolamento de teste e o posterior processamento com o auxílio de alguma técnica de detecção. Neste trabalho a técnica do envelope foi escolhida. A bancada, assim desenvolvida, permite a retirada e colocação dos rolamentos em estudo de maneira simples e rápida, permitindo a execução de diversos testes com rapidez. A investigação da detecção de falhas em rolamentos é feita comparando-se rolamentos em condições normais com rolamentos que têm um defeito induzido. Inicialmente é apresentada a descrição das origens e formas de propagação das falhas em elementos de rolamentos e também as formas como estas falhas são induzidas em locais específicos de cada rolamento. Uma breve revisão sobre métodos de detecção de falhas no domínio do tempo e da frequência é feita. Ênfase é dada ao método do envelope que faz uso da transformada de Hilbert (Hilbert Transform) conjuntamente com a transformada Rápida de Fourier (Fast Fourier Transform). Em seguida, descreve-se como foram geradas as falhas e separados os grupos de teste, também é descrito como os ensaios foram executados com os danos induzidos em local pré-determinado no rolamento. Os resultados obtidos possibilitaram identificar as origens das falhas induzidas tanto na pista externa quanto na interna dos rolamentos analisando os sinais de vibração do mancal onde está montado o rolamento em teste com o pós-processamento dos mesmos com a técnica investigada. Os testes simulam as condições extremas encontradas em sistemas rotativos de equipamentos industriais através da imposição de cargas verticais ao rolamento. Este estudo de detecção das falhas em rolamentos propiciou uma melhor compreensão e análise do processo de falha nestes componentes. / The vibration monitoring of rotating machines is of great interest to industries since it has the ability to detect, in advance, problems related to the operational condition of the equipment, enabling fixing, adjustments or repair, and thus, minimizing the cost in case of faults or unexpected downtime. In this work, the study of the adequacy of a test bench for detecting faults in ball bearings by vibration analysis techniques is developed. It aims at locating faults in ball bearings using vibration monitoring signals (acceleration) in the journal bearings that support this elements and further processing with the aid of some detection technique. In this work the envelope technique was chosen. The developed test bench thus allows the removal and placement of the bearings in a simple and fast way allowing running quickly several tests. The investigation of detecting faults in ball bearings is made by comparing the bearings under normal conditions with bearings which have an induced defect. First of all is presented a description of the origins and forms of propagation of faults in bearing elements and also the ways in which these failures are induced in specific locations of each bearing. A brief review of methods for detecting faults in the time and frequency domain is made. Emphasis is given to the Envelope Method which uses the Hilbert Transform with the Fast Fourier Transform. Then it is described how the tests were accomplished with the induced damage in predetermined sites in the bearing. The results obtained allowed to identify the origins of the induced bearing failures in both outer and inner races just by reading the vibration signals and post-processing them with the investigated technique. The tests take care to simulate conditions close to those found in actual rotatory systems of industrial equipment by imposing vertical loads to the bearing. This study in detecting flaws in balls bearings provided a better understanding of the analysis failure process in these components.

O monitoramento de vibração de máquinas rotativas é de grande interesse da indústria, uma vez que se tem a possibilidade de detectar, com certa antecedência, problemas relacionados à condição de funcionamento do equipamento, possibilitando reparos, ajustes ou consertos e, assim, minimizando custos no caso de falhas graves ou paradas inesperadas. Neste trabalho é feita a adequação de uma bancada de testes para estudo de técnicas de detecção de falhas em rolamentos de esferas por análise de vibração. O objetivo é o de localizar falhas em rolamentos utilizando o monitoramento dos sinais das vibrações (aceleração) no mancal que suporta o rolamento de teste e o posterior processamento com o auxílio de alguma técnica de detecção. Neste trabalho a técnica do envelope foi escolhida. A bancada, assim desenvolvida, permite a retirada e colocação dos rolamentos em estudo de maneira simples e rápida, permitindo a execução de diversos testes com rapidez. A investigação da detecção de falhas em rolamentos é feita comparando-se rolamentos em condições normais com rolamentos que têm um defeito induzido. Inicialmente é apresentada a descrição das origens e formas de propagação das falhas em elementos de rolamentos e também as formas como estas falhas são induzidas em locais específicos de cada rolamento. Uma breve revisão sobre métodos de detecção de falhas no domínio do tempo e da frequência é feita. Ênfase é dada ao método do envelope que faz uso da transformada de Hilbert (Hilbert Transform) conjuntamente com a transformada Rápida de Fourier (Fast Fourier Transform). Em seguida, descreve-se como foram geradas as falhas e separados os grupos de teste, também é descrito como os ensaios foram executados com os danos induzidos em local pré-determinado no rolamento. Os resultados obtidos possibilitaram identificar as origens das falhas induzidas tanto na pista externa quanto na interna dos rolamentos analisando os sinais de vibração do mancal onde está montado o rolamento em teste com o pós-processamento dos mesmos com a técnica investigada. Os testes simulam as condições extremas encontradas em sistemas rotativos de equipamentos industriais através da imposição de cargas verticais ao rolamento. Este estudo de detecção das falhas em rolamentos propiciou uma melhor compreensão e análise do processo de falha nestes componentes. / The vibration monitoring of rotating machines is of great interest to industries since it has the ability to detect, in advance, problems related to the operational condition of the equipment, enabling fixing, adjustments or repair, and thus, minimizing the cost in case of faults or unexpected downtime. In this work, the study of the adequacy of a test bench for detecting faults in ball bearings by vibration analysis techniques is developed. It aims at locating faults in ball bearings using vibration monitoring signals (acceleration) in the journal bearings that support this elements and further processing with the aid of some detection technique. In this work the envelope technique was chosen. The developed test bench thus allows the removal and placement of the bearings in a simple and fast way allowing running quickly several tests. The investigation of detecting faults in ball bearings is made by comparing the bearings under normal conditions with bearings which have an induced defect. First of all is presented a description of the origins and forms of propagation of faults in bearing elements and also the ways in which these failures are induced in specific locations of each bearing. A brief review of methods for detecting faults in the time and frequency domain is made. Emphasis is given to the Envelope Method which uses the Hilbert Transform with the Fast Fourier Transform. Then it is described how the tests were accomplished with the induced damage in predetermined sites in the bearing. The results obtained allowed to identify the origins of the induced bearing failures in both outer and inner races just by reading the vibration signals and post-processing them with the investigated technique. The tests take care to simulate conditions close to those found in actual rotatory systems of industrial equipment by imposing vertical loads to the bearing. This study in detecting flaws in balls bearings provided a better understanding of the analysis failure process in these components.

No presente trabalho procurou-se desenvolver um sistema computacional para a automação de um Espectrofotômetro de Varredura Refrativa. Este sistema é baseado em um computador hospedeiro da linha IBM-PC, que pode ser de qualquer modelo, desde que possua barramento ISA de 16 bits. O sistema se divide em dois módulos - aquisição e processamento. O modulo de aquisição e capaz de atingir taxas de aquisição de ate 200 KHz, com resolução de 12 bits. É independente de controle do hospedeiro pois possui lógica de controle e sistema de armazenamento próprio. O módulo de processamento envolve o uso de um processador vetorial de sinais digitais ZORAN ZR34161 dedicado a efetuar eficientemente a Transformada Rápida de Fourier (FFT). Também opera independentemente do computador hospedeiro. Este módulo é capaz de efetuar a FFT em um vetor real de 4096 pontos em 19,64 ms / This work was intended to develop a computational system to control a fast Fourier spectrophotometer. This system is based in an IBM-PC type host computer, with ISA bus 16 bits wide. The system has two modules - acquisition and processing. The acquisition module works at 200 KHz sample rate, with 12 bits of resolution, and also works without host control, due to its own memory system and control logic. The processing module uses a ZORAN ZR34161 vector signal processor, dedicated to do the Fast Fourier Transform (FFT) in the most efficient way. No management of host is required, and it can compute a FFT of a 4096 points real vector in 19,64 ms

O monitoramento de vibração de máquinas rotativas é de grande interesse da indústria, uma vez que se tem a possibilidade de detectar, com certa antecedência, problemas relacionados à condição de funcionamento do equipamento, possibilitando reparos, ajustes ou consertos e, assim, minimizando custos no caso de falhas graves ou paradas inesperadas. Neste trabalho é feita a adequação de uma bancada de testes para estudo de técnicas de detecção de falhas em rolamentos de esferas por análise de vibração. O objetivo é o de localizar falhas em rolamentos utilizando o monitoramento dos sinais das vibrações (aceleração) no mancal que suporta o rolamento de teste e o posterior processamento com o auxílio de alguma técnica de detecção. Neste trabalho a técnica do envelope foi escolhida. A bancada, assim desenvolvida, permite a retirada e colocação dos rolamentos em estudo de maneira simples e rápida, permitindo a execução de diversos testes com rapidez. A investigação da detecção de falhas em rolamentos é feita comparando-se rolamentos em condições normais com rolamentos que têm um defeito induzido. Inicialmente é apresentada a descrição das origens e formas de propagação das falhas em elementos de rolamentos e também as formas como estas falhas são induzidas em locais específicos de cada rolamento. Uma breve revisão sobre métodos de detecção de falhas no domínio do tempo e da frequência é feita. Ênfase é dada ao método do envelope que faz uso da transformada de Hilbert (Hilbert Transform) conjuntamente com a transformada Rápida de Fourier (Fast Fourier Transform). Em seguida, descreve-se como foram geradas as falhas e separados os grupos de teste, também é descrito como os ensaios foram executados com os danos induzidos em local pré-determinado no rolamento. Os resultados obtidos possibilitaram identificar as origens das falhas induzidas tanto na pista externa quanto na interna dos rolamentos analisando os sinais de vibração do mancal onde está montado o rolamento em teste com o pós-processamento dos mesmos com a técnica investigada. Os testes simulam as condições extremas encontradas em sistemas rotativos de equipamentos industriais através da imposição de cargas verticais ao rolamento. Este estudo de detecção das falhas em rolamentos propiciou uma melhor compreensão e análise do processo de falha nestes componentes. / The vibration monitoring of rotating machines is of great interest to industries since it has the ability to detect, in advance, problems related to the operational condition of the equipment, enabling fixing, adjustments or repair, and thus, minimizing the cost in case of faults or unexpected downtime. In this work, the study of the adequacy of a test bench for detecting faults in ball bearings by vibration analysis techniques is developed. It aims at locating faults in ball bearings using vibration monitoring signals (acceleration) in the journal bearings that support this elements and further processing with the aid of some detection technique. In this work the envelope technique was chosen. The developed test bench thus allows the removal and placement of the bearings in a simple and fast way allowing running quickly several tests. The investigation of detecting faults in ball bearings is made by comparing the bearings under normal conditions with bearings which have an induced defect. First of all is presented a description of the origins and forms of propagation of faults in bearing elements and also the ways in which these failures are induced in specific locations of each bearing. A brief review of methods for detecting faults in the time and frequency domain is made. Emphasis is given to the Envelope Method which uses the Hilbert Transform with the Fast Fourier Transform. Then it is described how the tests were accomplished with the induced damage in predetermined sites in the bearing. The results obtained allowed to identify the origins of the induced bearing failures in both outer and inner races just by reading the vibration signals and post-processing them with the investigated technique. The tests take care to simulate conditions close to those found in actual rotatory systems of industrial equipment by imposing vertical loads to the bearing. This study in detecting flaws in balls bearings provided a better understanding of the analysis failure process in these components.

Depuis que leur particularité a été mise en évidence, lesmatériaux non-linéaires mésoscopiques tels que le béton,les roches, les composites, les tissus biologiques, etc.suscitent un intérêt de plus en plus croissant. L’étude ducomportement dynamique de ces matériaux à l’aide de lathéorie classique de Landau s’est révélée incapabled’expliquer les différentes observations expérimentaleseffectuées sur cette “nouvelle classe“ de matériaux. Eneffet, ces derniers présentent des singularités(microfissures, contacts, joins de grains, dislocations, etc.)distribuées de manière hétérogène à l’échellemésoscopique. Par conséquent, différents mécanismesphysiques associés au comportement desdites singularitéspeuvent être à l’origine des non-linéarités observées.Ce travail de thèse s’intéresse à la réponse macroscopiquede différents matériaux mésoscopiques et ce dans le butd’extraire des indicateurs non-linéaires y dont ladépendance en fonction de l’amplitude d’excitation x estune loi de puissance y = axb indépendamment de laméthode expérimentale adoptée. En général, l’exposant bconnu pour être lié au mécanisme physique responsablede la non-linéarité varie de 1 à 3. Dans un premier temps,le lien existant entre les propriétés de la microstructure dechacun des matériaux étudiés et la valeur de l’exposant bnous a permis de définir différentes classes de matériaux.Par ailleurs, ce travail de thèse est également destiné àétudier la relation entre la valeur mesurée de l’exposent bet les mécanismes physiques microscopiques générés parla perturbation acoustique. A cet effet, le formalisme dePreisach-Mayergoyz a été généralisé pour définir desmodèles multi-états. Cela s’est effectué en discrétisant lesdifférentes équations continues qui décrivent différentsmécanismes physiques microscopiques tels que l’adhésionou le clapping entre les deux surfaces d’une microfissure,les forces capillaires dues à la présence de fluides ou lemouvement des dislocations au sein d’un polycristal. Danschaque modèle, on définit un ensemble statistiqued’éléments microscopiques où chaque élément estcaractérisé par ses constantes élastiques décrivant sonétat mécanique et ses paramètres de transition inter-états.La prise en compte de tous les éléments microscopiquespermet de décrire le comportement global mésoscopique.Moyennant cette démarche, il nous a ainsi été possible deremonter aux résultats expérimentaux par simplerésolution de l’équation de propagation dans un milieucomposé de plusieurs éléments mésoscopiques.L’un des résultats importants de cette thèse est que lavaleur de l’exposant b peut être théoriquement préditeconnaissant le nombre de paramètres de transition dans lemodèle, les contraintes géométriques ainsi que leurdistribution statistique. De plus, l’application de cetteétude dans le cas du béton de génie civil graduellementmicrofissuré a permis de montrer que la prise en compted’un seul mécanisme de non-linéarité n’était passuffisante pour expliquer les observations expérimentales.En effet, l’étude théorique a montré que l’évolution de lamicrofissuration entraine celle des mécanismesnon-linéaires mis en jeu où la combinaison“hystérésis-clapping“, par exemple, a permis d’expliquerl’évolution du comportement non-linéaire du béton degénie civil à l’échelle microscopique. / Nonlinear mesoscopic elastic (NME) materials present ananomalous nonlinear elastic behavior, which could not beexplained by classical theories. New physical mechanismsshould be individuated to explain NMEs response.Dislocations in damaged metals, fluids in rocks andadhesion (in composites) could be plausible. In this thesisI have searched for differences in the macroscopic elasticresponse of materials which could be ascribed to differentphysical processes. I have found that the nonlinearindicators follow a power law behavior as a function of theexcitation energy, with exponent ranging from 1 to 3 (thisis not completely new). This allowed to classify materialsinto well-defined classes, each characterized by a value ofthe exponent and specific microstructural properties. Tolink the measured power law exponent to plausiblephysical mechanisms, I have extended thePreisach-Mayergoyz formalism for hysteresis to multi-statemodels. Specific multi-state discrete models have beenderived from continuous microscopic physical processes,such as adhesion-clapping, adhesion-capillary forces,dislocations motion and hysteresis. In each model, themicroscopic behavior is described by a multistate equationof state, with parameters which are statisticallydistributed. Averaging over many microscopic elements theso-called mesoscopic equation of state is derived and, fromwave propagation simulations in a sample composed bymany mesoscopic elements, the experimental results couldbe reproduced. In the work of the thesis, I have shownthat model predictions of the exponent b ( the exponent bhas not been introduced before) are linked in a ‘a priori’predictable way to the number of states and the propertiesof the statistical distribution adopted. We have classifiedmodels into classes defined by a different exponent b andcomparing with experimental results we have suggestedplausible mechanisms for the nonlinearity generation.

This thesis investigates the possibility of detecting weak vital signs, such as heartbeat and respiration rate, through the implementation of quadrature demodulation and frequency spectrum algorithms on a high performance digital signal processor. This thesis has been part of an ongoing research project at Linkoping University, with the aim to develop a sensor platform for wireless measurements of these vital signs. This sensor platform has been expected to consist of two major physical devices, a RF-radar front-end including a quadrature multi-port and a processing back-end which holds the implementation of the algorithms to detect the vital signs. The back-end consists of a data acquisition- and a processing-part which together forms the digital signal processor. The results show that the implemented algorithms works in terms of being able to find artificial vital signs from quadrature signals. This result also confirms that the hardware solution proposed during this thesis, has been considered as viable for the aim of the project.