840 resultados para Signal-to-noise Ratio
Resumo:
Key generation from the randomness of wireless channels is a promising technique to establish a secret cryptographic key securely between legitimate users. This paper proposes a new approach to extract keys efficiently from channel responses of individual orthogonal frequency-division multiplexing (OFDM) subcarriers. The efficiency is achieved by (i) fully exploiting randomness from time and frequency domains and (ii) improving the cross-correlation of the channel measurements. Through the theoretical modelling of the time and frequency autocorrelation relationship of the OFDM subcarrier's channel responses, we can obtain the optimal probing rate and use multiple uncorrelated subcarriers as random sources. We also study the effects of non-simultaneous measurements and noise on the cross-correlation of the channel measurements. We find the cross-correlation is mainly impacted by noise effects in a slow fading channel and use a low pass filter (LPF) to reduce the key disagreement rate and extend the system's working signal-to-noise ratio range. The system is evaluated in terms of randomness, key generation rate, and key disagreement rate, verifying that it is feasible to extract randomness from both time and frequency domains of the OFDM subcarrier's channel responses.
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In this paper, we consider the uplink of a single-cell multi-user single-input multiple-output (MU-SIMO) system with in-phase and quadrature-phase imbalance (IQI). Particularly, we investigate the effect of receive (RX) IQI on the performance of MU-SIMO systems with large antenna arrays employing maximum-ratio combining (MRC) receivers. In order to study how IQI affects channel estimation, we derive a new channel estimator for the IQI-impaired model and show that the higher the value of signal-to-noise ratio (SNR) the higher the impact of IQI on the spectral efficiency (SE). Moreover, a novel pilot-based joint estimator of the augmented MIMO channel matrix and IQI coefficients is described and then, a low-complexity IQI compensation scheme is proposed which is based on the
IQI coefficients’ estimation and it is independent of the channel gain. The performance of the proposed compensation scheme is analytically evaluated by deriving a tractable approximation of the ergodic SE assuming transmission over Rayleigh fading channels with large-scale fading. Furthermore, we investigate how many MSs should be scheduled in massive multiple-input multiple-output (MIMO) systems with IQI and show that the highest SE loss occurs at the optimal operating point. Finally,
by deriving asymptotic power scaling laws, and proving that the SE loss due to IQI is asymptotically independent of the number of BS antennas, we show that massive MIMO is resilient to the effect of RX IQI.
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(abreviated) We aim to study the inner-wind structure (R<250 Rstar) of the well-known red supergiant VY CMa. We analyse high spatial resolution (~0".24x0".13) ALMA Science Verification (SV) data in band 7 in which four thermal emission lines of gaseous sodium chloride (NaCl) are present at high signal-to-noise ratio. For the first time, the NaCl emission in the inner wind region of VY CMa is spatially resolved. The ALMA observations reveal the contribution of up to four different spatial regions. The NaCl emission pattern is different compared to the dust continuum and TiO2 emission already analysed from the ALMA SV data. The emission can be reconciled with an axisymmetric geometry, where the lower density polar/rotation axis has a position angle of ~50 degrees measured from north to east. However, this picture can not capture the full morphological diversity, and discrete mass ejection events need to be invoked to explain localized higher-density regions. The velocity traced by the gaseous NaCl line profiles is significantly lower than the average wind terminal velocity, and much slower than some of the fastest mass ejections, signalling a wide range of characteristic speeds for the mass loss. Gaseous NaCl is detected far beyond the main dust condensation region. Realising the refractory nature of this metal halide, this hints at a chemical process preventing all NaCl from condensing onto dust grains. We show that in the case of the ratio of the surface binding temperature to the grain temperature being ~50, only some 10% of NaCl remains in gaseous form, while for lower values of this ratio thermal desorption efficiently evaporates NaCl. Photodesorption by stellar photons seems not to be a viable explanation for the detection of gaseous NaCl at 220 Rstar from the central star, and instead, we propose shock-induced sputtering driven by localized mass ejection events as alternative.
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Flexible radio transmitters based on the Software-Defined Radio (SDR) concept are gaining an increased research importance due to the unparalleled proliferation of new wireless standards operating at different frequencies, using dissimilar coding and modulation schemes, and targeted for different ends. In this new wireless communications paradigm, the physical layer of the radio transmitter must be able to support the simultaneous transmission of multi-band, multi-rate, multi-standard signals, which in practice is very hard or very inefficient to implement using conventional approaches. Nevertheless, the last developments in this field include novel all-digital transmitter architectures where the radio datapath is digital from the baseband up to the RF stage. Such concept has inherent high flexibility and poses an important step towards the development of SDR-based transmitters. However, the truth is that implementing such radio for a real world communications scenario is a challenging task, where a few key limitations are still preventing a wider adoption of this concept. This thesis aims exactly to address some of these limitations by proposing and implementing innovative all-digital transmitter architectures with inherent higher flexibility and integration, and where improving important figures of merit, such as coding efficiency, signal-to-noise ratio, usable bandwidth and in-band and out-of-band noise will also be addressed. In the first part of this thesis, the concept of transmitting RF data using an entirely digital approach based on pulsed modulation is introduced. A comparison between several implementation technologies is also presented, allowing to state that FPGAs provide an interesting compromise between performance, power efficiency and flexibility, thus making them an interesting choice as an enabling technology for pulse-based all-digital transmitters. Following this discussion, the fundamental concepts inherent to pulsed modulators, its key advantages, main limitations and typical enhancements suitable for all-digital transmitters are also presented. The recent advances regarding the two most common classes of pulse modulated transmitters, namely the RF and the baseband-level are introduced, along with several examples of state-of-the-art architectures found on the literature. The core of this dissertation containing the main developments achieved during this PhD work is then presented and discussed. The first key contribution to the state-of-the-art presented here consists in the development of a novel ΣΔ-based all-digital transmitter architecture capable of multiband and multi-standard data transmission in a very flexible and integrated way, where the pulsed RF output operating in the microwave frequency range is generated inside a single FPGA device. A fundamental contribution regarding the simultaneous transmission of multiple RF signals is then introduced by presenting and describing novel all-digital transmitter architectures that take advantage of multi-gigabit data serializers available on current high-end FPGAs in order to transmit in a time-interleaved approach multiple independent RF carriers. Further improvements in this design approach allowed to provide a two-stage up-conversion transmitter architecture enabling the fine frequency tuning of concurrent multichannel multi-standard signals. Finally, further improvements regarding two key limitations inherent to current all-digital transmitter approaches are then addressed, namely the poor coding efficiency and the combined high quality factor and tunability requirements of the RF output filter. The followed design approach based on poliphase multipath circuits allowed to create a new FPGA-embedded agile transmitter architecture that significantly improves important figures of merit, such as coding efficiency and SNR, while maintains the high flexibility that is required for supporting multichannel multimode data transmission.
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In this work several techniques to monitor the performance of optical networks were developed. These techniques are dedicated either to the measurement of the data signal parameters (optical signal to noise ratio and dispersion) or to the detection of physical failures on the network infrastructure. The optical signal to noise ratio of the transmitted signal was successfully monitored using methods based on the presence of Bragg gratings imprinted on high birefringent fibres that allowed the distinction of the signal from the noise due to its polarization properties. The monitoring of the signal group-velocity dispersion was also possible. In this case, a method based on the analysis of the electric spectrum of the signal was applied. It was experimentally demonstrated that this technique is applicable on both amplitude and phase modulated signals. It was also developed a technique to monitor the physical infrastructure of an optical access network. Once again, the application of Bragg gratings (this time imprinted on standard single mode fibres) was the basis of the developed method.
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Este trabalho teve como objetivos a produção, caracterização e aplicação de microelétrodos (MEs) de diamante como sensores amperométricos e potenciométricos em sistemas de corrosão nos quais a agressividade do meio e a presença de produtos de corrosão, constituem obstáculos que podem diminuir o desempenho, ou inviabilizar a utilização, de outros tipos de sensores. Os microeléctrodos são baseados em filmes finos de diamante dopado com boro (BDD – Boron Doped Diamond) depositados sobre fios de tungsténio afiados, através do método de deposição química a partir da fase vapor, assistida por filamento quente (HFCVD – Hot Filament Chemical Vapor Deposition). A otimização das diversas etapas de fabricação dos MEs deu origem ao desenvolvimento de um novo sistema de afiamento eletroquímico para obtenção destes fios e a várias opções para a obtenção dos filmes de diamante condutor e seu isolamento com resinas para exposição apenas da ponta cilíndrica. A qualidade cristalina dos filmes de diamante foi avaliada por espectroscopia de Raman. Esta informação foi complementada com uma caracterização microestrutural dos filmes de diamante por microscopia eletrónica de varrimento (SEM), em que se fez a identificação da tipologia dos cristais como pertencendo às gamas de diamante nanocristalino ou microcristalino. Os filmes de BDD foram utilizados na sua forma não modificada, com terminações em hidrogénio e também com modificação da superfície através de tratamentos de plasma RF de CF4 e O2 indutores de terminações C-F no primeiro caso e de grupos C=O, C-O-C e C-OH no segundo, tal como determinado por XPS. A caracterização eletroquímica dos MEs não modificados revelou uma resposta voltamétrica com elevada razão sinal/ruído e baixa corrente capacitiva, numa gama de polarização quasi-ideal com extensão de 3 V a 4 V, dependente dos parâmetros de crescimento e pós-tratamentos de superfície. Estudou-se a reversibilidade de algumas reações heterogéneas com os pares redox Fe(CN)6 3-/4- e FcOH0/+ e verificou-se que a constante cinética, k0, é mais elevada em elétrodos com terminações em hidrogénio, nos quais não se procedeu a qualquer modificação da superfície. Estes MEs não modificados foram também testados na deteção de Zn2+ onde se observou, por voltametria cíclica, que a detecção da redução deste ião é linear numa escala log-log na gama de 10-5-10-2 M em 5 mM NaCl. Realizaram-se também estudos em sistemas de corrosão modelares, em que os microeléctrodos foram usados como sensores amperométricos para mapear a distribuição de oxigénio e Zn2+ sobre um par galvânico Zn-Fe, com recurso a um sistema SVET (Scanning Vibrating Electrode Technique). Foi possível detetar, com resolução lateral de 100 μm, um decréscimo da concentração de O2 junto a ambos os metais e produção de catiões de zinco no ânodo. Contudo verificou-se uma significativa deposição de zinco metálico na superfície dos ME utilizados. Os MEs com superfície modificada por plasma de CF4 foram testados como sensores de oxigénio dissolvido. A calibração dos microeléctrodos foi efetuada simultaneamente por voltametria cíclica e medição óptica através de um sensor de oxigénio comercial. Determinou-se uma sensibilidade de ~0.1422 nA/μM, com um limite de deteção de 0.63 μM. Os MEs modificados com CF4 foram também testados como sensores amperométricos com os quais se observou sensibilidade ao oxigénio dissolvido em solução, tendo sido igualmente utilizados durante a corrosão galvânica de pares Zn-Fe. Em alguns casos foi conseguida sensibilidade ao ião Zn2+ sem que o efeito da contaminação superficial com zinco metálico se fizesse sentir. Os microeléctrodos tratados em plasma de CF4 permitem uma boa deteção da distribuição de oxigénio, exibindo uma resposta mais rápida que os não tratados além de maior estabilidade de medição e durabilidade. Nos MEs em que a superfície foi modificada com plasma de O2 foi possível detetar, por cronopotenciometria a corrente nula, uma sensibilidade ao pH de ~51 mV/pH numa gama de pH 2 a pH 12. Este comportamento foi associado à contribuição determinante de grupos C-O e C=O, observados por XPS com uma razão O/C de 0,16. Estes MEs foram igualmente testados durante a corrosão galvânica do par Zn-Fe onde foi possível mapear a distribuição de pH associada ao desenvolvimento de regiões alcalinas causadas pela redução do oxigénio, acima da região catódica, e de regiões ácidas decorrentes da dissolução anódica do ânodo de zinco. Com o par galvânico imerso em 50 mM NaCl registou-se uma variação de pH aproximadamente entre 4,8 acima do ânodo de zinco a 9,3 sobre o cátodo de ferro. A utilização pioneira destes MEs como sensores de pH é uma alternativa promissora aos elétrodos baseados em membranas seletivas.
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In this paper, we consider low-PMEPR (Peak-to-Mean Envelope Power Ratio) MC-CDMA (Multicarrier Coded Division Multiple Access) schemes. We develop frequencydomain turbo equalizers combined with an iterative estimation and cancellation of nonlinear distortion effects. Our receivers have relatively low complexity, since they allow FFT-based (Fast Fourier Transform) implementations. The proposed turbo receivers allow significant performance improvements at low and moderate SNR (Signal-to-Noise Ratio), even when a low-PMEPR MC-CDMA transmission is intended.
Resumo:
The Joint Video Team, composed by the ISO/IEC Moving Picture Experts Group (MPEG) and the ITU-T Video Coding Experts Group (VCEG), has standardized a scalable extension of the H.264/AVC video coding standard called Scalable Video Coding (SVC). H.264/SVC provides scalable video streams which are composed by a base layer and one or more enhancement layers. Enhancement layers may improve the temporal, the spatial or the signal-to-noise ratio resolutions of the content represented by the lower layers. One of the applications, of this standard is related to video transmission in both wired and wireless communication systems, and it is therefore important to analyze in which way packet losses contribute to the degradation of quality, and which mechanisms could be used to improve that quality. This paper provides an analysis and evaluation of H.264/SVC in error prone environments, quantifying the degradation caused by packet losses in the decoded video. It also proposes and analyzes the consequences of QoS-based discarding of packets through different marking solutions.
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In this manuscript we tackle the problem of semidistributed user selection with distributed linear precoding for sum rate maximization in multiuser multicell systems. A set of adjacent base stations (BS) form a cluster in order to perform coordinated transmission to cell-edge users, and coordination is carried out through a central processing unit (CU). However, the message exchange between BSs and the CU is limited to scheduling control signaling and no user data or channel state information (CSI) exchange is allowed. In the considered multicell coordinated approach, each BS has its own set of cell-edge users and transmits only to one intended user while interference to non-intended users at other BSs is suppressed by signal steering (precoding). We use two distributed linear precoding schemes, Distributed Zero Forcing (DZF) and Distributed Virtual Signalto-Interference-plus-Noise Ratio (DVSINR). Considering multiple users per cell and the backhaul limitations, the BSs rely on local CSI to solve the user selection problem. First we investigate how the signal-to-noise-ratio (SNR) regime and the number of antennas at the BSs impact the effective channel gain (the magnitude of the channels after precoding) and its relationship with multiuser diversity. Considering that user selection must be based on the type of implemented precoding, we develop metrics of compatibility (estimations of the effective channel gains) that can be computed from local CSI at each BS and reported to the CU for scheduling decisions. Based on such metrics, we design user selection algorithms that can find a set of users that potentially maximizes the sum rate. Numerical results show the effectiveness of the proposed metrics and algorithms for different configurations of users and antennas at the base stations.
Resumo:
A transimpedance amplifier (TIA) is used, in radiation detectors like the positron emission tomography(PET), to transform the current pulse produced by a photo-sensitive device into an output voltage pulse with a desired amplitude and shape. The TIA must have the lowest noise possible to maximize the output. To achieve a low noise, a circuit topology is proposed where an auxiliary path is added to the feedback TIA input, In this auxiliary path a differential transconductance block is used to transform the node voltage in to a current, this current is then converted to a voltage pulse by a second feedback TIA complementary to the first one, with the same amplitude but 180º out of phase with the first feedback TIA. With this circuit the input signal of the TIA appears differential at the output, this is used to try an reduced the circuit noise. The circuit is tested with two different devices, the Avalanche photodiodes (APD) and the Silicon photomultiplier (SIPMs). From the simulations we find that when using s SIPM with Rx=20kΩ and Cx=50fF the signal to noise ratio is increased from 59 when using only one feedback TIA to 68.3 when we use an auxiliary path in conjunction with the feedback TIA. This values where achieved with a total power consumption of 4.82mv. While the signal to noise ratio in the case of the SIPM is increased with some penalty in power consumption.
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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.
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In coronary magnetic resonance angiography, a magnetization-preparation scheme for T2 -weighting (T2 Prep) is widely used to enhance contrast between the coronary blood-pool and the myocardium. This prepulse is commonly applied without spatial selection to minimize flow sensitivity, but the nonselective implementation results in a reduced magnetization of the in-flowing blood and a related penalty in signal-to-noise ratio. It is hypothesized that a spatially selective T2 Prep would leave the magnetization of blood outside the T2 Prep volume unaffected and thereby lower the signal-to-noise ratio penalty. To test this hypothesis, a spatially selective T2 Prep was implemented where the user could freely adjust angulation and position of the T2 Prep slab to avoid covering the ventricular blood-pool and saturating the in-flowing spins. A time gap of 150 ms was further added between the T2 Prep and other prepulses to allow for in-flow of a larger volume of unsaturated spins. Consistent with numerical simulation, the spatially selective T2 Prep increased in vivo human coronary artery signal-to-noise ratio (42.3 ± 2.9 vs. 31.4 ± 2.2, n = 22, P < 0.0001) and contrast-to-noise-ratio (18.6 ± 1.5 vs. 13.9 ± 1.2, P = 0.009) as compared to those of the nonselective T2 Prep. Additionally, a segmental analysis demonstrated that the spatially selective T2 Prep was most beneficial in proximal and mid segments where the in-flowing blood volume was largest compared to the distal segments. Magn Reson Med, 2013. © 2012 Wiley Periodicals, Inc.
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Position sensitive particle detectors are needed in high energy physics research. This thesis describes the development of fabrication processes and characterization techniques of silicon microstrip detectors used in the work for searching elementary particles in the European center for nuclear research, CERN. The detectors give an electrical signal along the particles trajectory after a collision in the particle accelerator. The trajectories give information about the nature of the particle in the struggle to reveal the structure of the matter and the universe. Detectors made of semiconductors have a better position resolution than conventional wire chamber detectors. Silicon semiconductor is overwhelmingly used as a detector material because of its cheapness and standard usage in integrated circuit industry. After a short spread sheet analysis of the basic building block of radiation detectors, the pn junction, the operation of a silicon radiation detector is discussed in general. The microstrip detector is then introduced and the detailed structure of a double-sided ac-coupled strip detector revealed. The fabrication aspects of strip detectors are discussedstarting from the process development and general principles ending up to the description of the double-sided ac-coupled strip detector process. Recombination and generation lifetime measurements in radiation detectors are discussed shortly. The results of electrical tests, ie. measuring the leakage currents and bias resistors, are displayed. The beam test setups and the results, the signal to noise ratio and the position accuracy, are then described. It was found out in earlier research that a heavy irradiation changes the properties of radiation detectors dramatically. A scanning electron microscope method was developed to measure the electric potential and field inside irradiated detectorsto see how a high radiation fluence changes them. The method and the most important results are discussed shortly.
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Différentes méthodes ayant pour objectif une utilisation optimale d'antennes radio-fréquences spécialisées en imagerie par résonance magnétique sont développées et validées. Dans un premier temps, il est démontré qu'une méthode alternative de combinaison des signaux provenant des différents canaux de réception d'un réseau d'antennes mène à une réduction significative du biais causé par la présence de bruit dans des images de diffusion, en comparaison avec la méthode de la somme-des-carrés généralement utilisée. Cette réduction du biais engendré par le bruit permet une amélioration de l'exactitude de l'estimation de différents paramètres de diffusion et de diffusion tensorielle. De plus, il est démontré que cette méthode peut être utilisée conjointement avec une acquisition régulière sans accélération, mais également en présence d'imagerie parallèle. Dans une seconde perspective, les bénéfices engendrés par l'utilisation d'une antenne d'imagerie intravasculaire sont étudiés. Suite à une étude sur fantôme, il est démontré que l'imagerie par résonance magnétique intravasculaire offre le potentiel d'améliorer significativement l'exactitude géométrique lors de mesures morphologiques vasculaires, en comparaison avec les résultats obtenus avec des antennes de surface classiques. Il est illustré qu'une exactitude géométrique comparable à celle obtenue grâce à une sonde ultrasonique intravasculaire peut être atteinte. De plus, plusieurs protocoles basés sur une acquisition de type balanced steady-state free-precession sont comparés dans le but de mettre en évidence différentes relations entre les paramètres utilisés et l'exactitude géométrique obtenue. En particulier, des dépendances entre la taille du vaisseau, le rapport signal-sur-bruit à la paroi vasculaire, la résolution spatiale et l'exactitude géométrique atteinte sont mises en évidence. Dans une même optique, il est illustré que l'utilisation d'une antenne intravasculaire permet une amélioration notable de la visualisation de la lumière d'une endoprothèse vasculaire. Lorsque utilisée conjointement avec une séquence de type balanced steady-state free-precession utilisant un angle de basculement spécialement sélectionné, l'imagerie par résonance magnétique intravasculaire permet d'éliminer complètement les limitations normalement engendrées par l'effet de blindage radio-fréquence de l'endoprothèse.
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Cette thèse porte sur l’amélioration des techniques d’imagerie à haut-contraste permettant la détection directe de compagnons à de faibles séparations de leur étoile hôte. Plus précisément, elle s’inscrit dans le développement du Gemini Planet Imager (GPI) qui est un instrument de deuxième génération pour les télescopes Gemini. Cette caméra utilisera un spectromètre à champ intégral (SCI) pour caractériser les compagnons détectés et pour réduire le bruit de tavelure limitant leur détection et corrigera la turbulence atmosphérique à un niveau encore jamais atteint en utilisant deux miroirs déformables dans son système d’optique adaptative (OA) : le woofer et le tweeter. Le woofer corrigera les aberrations de basses fréquences spatiales et de grandes amplitudes alors que le tweeter compensera les aberrations de plus hautes fréquences ayant une plus faible amplitude. Dans un premier temps, les performances pouvant être atteintes à l’aide des SCIs présentement en fonction sur les télescopes de 8-10 m sont investiguées en observant le compagnon de l’étoile GQ Lup à l’aide du SCI NIFS et du système OA ALTAIR installés sur le télescope Gemini Nord. La technique de l’imagerie différentielle angulaire (IDA) est utilisée pour atténuer le bruit de tavelure d’un facteur 2 à 6. Les spectres obtenus en bandes JHK ont été utilisés pour contraindre la masse du compagnon par comparaison avec les prédictions des modèles atmosphériques et évolutifs à 8−60 MJup, où MJup représente la masse de Jupiter. Ainsi, il est déterminé qu’il s’agit plus probablement d’une naine brune que d’une planète. Comme les SCIs présentement en fonction sont des caméras polyvalentes pouvant être utilisées pour plusieurs domaines de l’astrophysique, leur conception n’a pas été optimisée pour l’imagerie à haut-contraste. Ainsi, la deuxième étape de cette thèse a consisté à concevoir et tester en laboratoire un prototype de SCI optimisé pour cette tâche. Quatre algorithmes de suppression du bruit de tavelure ont été testés sur les données obtenues : la simple différence, la double différence, la déconvolution spectrale ainsi qu’un nouvel algorithme développé au sein de cette thèse baptisé l’algorithme des spectres jumeaux. Nous trouvons que l’algorithme des spectres jumeaux est le plus performant pour les deux types de compagnons testés : les compagnons méthaniques et non-méthaniques. Le rapport signal-sur-bruit de la détection a été amélioré d’un facteur allant jusqu’à 14 pour un compagnon méthanique et d’un facteur 2 pour un compagnon non-méthanique. Dernièrement, nous nous intéressons à certains problèmes liés à la séparation de la commande entre deux miroirs déformables dans le système OA de GPI. Nous présentons tout d’abord une méthode utilisant des calculs analytiques et des simulations Monte Carlo pour déterminer les paramètres clés du woofer tels que son diamètre, son nombre d’éléments actifs et leur course qui ont ensuite eu des répercussions sur le design général de l’instrument. Ensuite, le système étudié utilisant un reconstructeur de Fourier, nous proposons de séparer la commande entre les deux miroirs dans l’espace de Fourier et de limiter les modes transférés au woofer à ceux qu’il peut précisément reproduire. Dans le contexte de GPI, ceci permet de remplacer deux matrices de 1600×69 éléments nécessaires pour une séparation “classique” de la commande par une seule de 45×69 composantes et ainsi d’utiliser un processeur prêt à être utilisé plutôt qu’une architecture informatique plus complexe.