Quasi-Orthogonal Space-Time Block Coding Using Polynomial Phase Modulation

Recently, polynomial phase modulation (PPM) was shown to be a power- and bandwidth-efficient modulation format. These two characteristics are in high demand nowadays specially in mobile applications, where devices with size, weight, and power (SWaP) constraints are common. In this paper, we propose implementing a full-diversity quasiorthogonal space-time block code (QOSTBC) using polynomial phase signals as modulation format. QOSTBCs along with PPM are used in order to improve the power efficiency of communication systems with four transmit antennas. We obtain the optimal PPM constellations that ensure full diversity and maximize the QOSTBC's minimum coding gain distance. Simulation results show that by using QOSTBCs along with a properly selected PPM constellation, full diversity in flat fading channels and thus low BER at high signal-to-noise ratios (SNR) can be ensured. More importantly, it is also shown that QOSTBCs using PPM achieve a better error performance than those using conventional modulation formats.

Desenvolvimento da célula base de microestruturas periódicas de compósitos sob otimização topológica

This thesis develops a new technique for composite microstructures projects by the Topology Optimization process, in order to maximize rigidity, making use of Deformation Energy Method and using a refining scheme h-adaptative to obtain a better defining the topological contours of the microstructure. This is done by distributing materials optimally in a region of pre-established project named as Cell Base. In this paper, the Finite Element Method is used to describe the field and for government equation solution. The mesh is refined iteratively refining so that the Finite Element Mesh is made on all the elements which represent solid materials, and all empty elements containing at least one node in a solid material region. The Finite Element Method chosen for the model is the linear triangular three nodes. As for the resolution of the nonlinear programming problem with constraints we were used Augmented Lagrangian method, and a minimization algorithm based on the direction of the Quasi-Newton type and Armijo-Wolfe conditions assisting in the lowering process. The Cell Base that represents the composite is found from the equivalence between a fictional material and a preescribe material, distributed optimally in the project area. The use of the strain energy method is justified for providing a lower computational cost due to a simpler formulation than traditional homogenization method. The results are presented prescription with change, in displacement with change, in volume restriction and from various initial values of relative densities.

Distribuzioni di quasi-probabilità: la funzione di Wigner

L'elaborato fornisce una introduzione alla funzione di Wigner, ovvero una funzione di fase che gioca un ruolo chiave in alcuni ambiti della fisica come l'ottica quantistica. Nel primo capitolo viene sviluppato sommariamente l'apparato matematico-fisico della quantizzazione di Weyl e quindi introdotta l'omonima mappa di quantizzazione tra funzioni di fase ed operatori quantistici. Nella seconda parte si delinea la nozione di distribuzione di quasi-probabilit\`a e si danno alcune importanti esemplificazioni della funzione di Wigner per gli autostati dell'oscillatore armonico. Per finire l'ultimo capitolo tratteggia il panorama sperimentale all'interno del quale la funzione di Wigner viene utilizzata.

Study of Periodic and Quasi-Periodic Structures in Silicon-on-Insulator

In this thesis, a numerical design approach has been proposed and developed based on the transmission matrix method in order to characterize periodic and quasi-periodic photonic structures in silicon-on-insulator. The approach and its performance have been extensively tested with specific structures in 2D and its validity has been verified in 3D.

Contribution à l'évaluation de l'équilibre quasi-statique à l'aide d'une plate-forme de force

Thèse numérisée par la Direction des bibliothèques de l'Université de Montréal.

Contribution à l'évaluation de l'équilibre quasi-statique à l'aide d'une plate-forme de force

Thèse numérisée par la Direction des bibliothèques de l'Université de Montréal.

Building Support Vector Machines in the Context of Regularised Least Squares

This paper formulates a linear kernel support vector machine (SVM) as a regularized least-squares (RLS) problem. By defining a set of indicator variables of the errors, the solution to the RLS problem is represented as an equation that relates the error vector to the indicator variables. Through partitioning the training set, the SVM weights and bias are expressed analytically using the support vectors. It is also shown how this approach naturally extends to Sums with nonlinear kernels whilst avoiding the need to make use of Lagrange multipliers and duality theory. A fast iterative solution algorithm based on Cholesky decomposition with permutation of the support vectors is suggested as a solution method. The properties of our SVM formulation are analyzed and compared with standard SVMs using a simple example that can be illustrated graphically. The correctness and behavior of our solution (merely derived in the primal context of RLS) is demonstrated using a set of public benchmarking problems for both linear and nonlinear SVMs.

Locally quasi-nilpotent elementary operators

Let A be a unital dense algebra of linear mappings on a complex vector space X. Let φ = Σⁿ _i=1 M_ai,_bi be a locally quasi-nilpotent elementary operator of length n on A. We show that, if {a1, . . . , an} is locally linearly independent, then the local dimension of V (φ) = span{b_ia_j : 1 ≤ i, j ≤ n} is at most n(n−1) 2 . If ldim V (φ) = n(n−1) 2 , then there exists a representation of φ as φ = Σⁿ _i=1 M_ui,_vi with v_iu_j = 0 for i ≥ j. Moreover, we give a complete characterization of locally quasinilpotent elementary operators of length 3.

Mental Health and Morbidity of Caregivers and Co-Residents of individuals with Dementia: A Quasi-Experimental Design

Objectives: To determine if providing informal care to a co-resident with dementia symptoms places an additional risk on the likelihood of poor mental health or mortality compared to co-resident non-caregivers.
Design: A quasi-experimental design of caregiving and non-caregiving co-residents of individuals with dementia symptoms, providing a natural comparator for the additive effects of caregiving on top of living with an individual with dementia symptoms. 
Methods: Census records, providing information on household structure, intensity of caregiving, presence of dementia symptoms and self-reported mental health, were linked to mortality records over the following 33 months. Multi-level regression models were constructed to determine the risk of poor mental health and death in co-resident caregivers of individuals with dementia symptoms compared to co-resident non-caregivers, adjusting for the clustering of individuals within households.
Results: The cohort consisted of 10,982 co-residents (55.1% caregivers), with 12.1% of non-caregivers reporting poor mental health compared to 8.4% of intense caregivers (>20 hours of care per week). During follow-up the cohort experienced 560 deaths (245 to caregivers). Overall, caregiving co-residents were at no greater risk of poor mental health but had lower mortality risk than non-caregiving co-residents (ORadj=0.93, 95% CI 0.79, 1.10 and ORadj=0.67, 95% CI 0.56, 0.81, respectively); this lower mortality risk was also seen amongst the most intensive caregivers (ORadj=0.65, 95% CI 0.53, 0.79).
Conclusion: Caregiving poses no additional risk to mental health over and above the risk associated with merely living with someone with dementia, and is associated with a lower mortality risk compared to non-caregiving co-residents.

Least Squares Approach to Inverse Problems in Musculoskeletal Biomechanics

Inverse simulations of musculoskeletal models computes the internal forces such as muscle and joint reaction forces, which are hard to measure, using the more easily measured motion and external forces as input data. Because of the difficulties of measuring muscle forces and joint reactions, simulations are hard to validate. One way of reducing errors for the simulations is to ensure that the mathematical problem is well-posed. This paper presents a study of regularity aspects for an inverse simulation method, often called forward dynamics or dynamical optimization, that takes into account both measurement errors and muscle dynamics. The simulation method is explained in detail. Regularity is examined for a test problem around the optimum using the approximated quadratic problem. The results shows improved rank by including a regularization term in the objective that handles the mechanical over-determinancy. Using the 3-element Hill muscle model the chosen regularization term is the norm of the activation. To make the problem full-rank only the excitation bounds should be included in the constraints. However, this results in small negative values of the activation which indicates that muscles are pushing and not pulling. Despite this unrealistic behavior the error maybe small enough to be accepted for specific applications. These results is a starting point start for achieving better results of inverse musculoskeletal simulations from a numerical point of view.

Modelos autorregressivos com valores inteiros não negativos : aplicação em séries económicas de Cabo Verde

No estudo de séries temporais, os processos estocásticos usuais assumem que as distribuições marginais são contínuas e, em geral, não são adequados para modelar séries de contagem, pois as suas características não lineares colocam alguns problemas estatísticos, principalmente na estimação dos parâmetros. Assim, investigou-se metodologias apropriadas de análise e modelação de séries com distribuições marginais discretas. Neste contexto, Al-Osh and Alzaid (1987) e McKenzie (1988) introduziram na literatura a classe dos modelos autorregressivos com valores inteiros não negativos, os processos INAR. Estes modelos têm sido frequentemente tratados em artigos científicos ao longo das últimas décadas, pois a sua importância nas aplicações em diversas áreas do conhecimento tem despertado um grande interesse no seu estudo. Neste trabalho, após uma breve revisão sobre séries temporais e os métodos clássicos para a sua análise, apresentamos os modelos autorregressivos de valores inteiros não negativos de primeira ordem INAR (1) e a sua extensão para uma ordem p, as suas propriedades e alguns métodos de estimação dos parâmetros nomeadamente, o método de Yule-Walker, o método de Mínimos Quadrados Condicionais (MQC), o método de Máxima Verosimilhança Condicional (MVC) e o método de Quase Máxima Verosimilhança (QMV). Apresentamos também um critério automático de seleção de ordem para modelos INAR, baseado no Critério de Informação de Akaike Corrigido, AICC, um dos critérios usados para determinar a ordem em modelos autorregressivos, AR. Finalmente, apresenta-se uma aplicação da metodologia dos modelos INAR em dados reais de contagem relativos aos setores dos transportes marítimos e atividades de seguros de Cabo Verde.

Macroinvertebrate communities and habitat structure in least-impacted hill streams of central Portugal

We surveyed macroinvertebrate communities in 31 hill streams in the Vouga River and Mondego River catchments in central Portugal. Despite applying a "least-impacted" criterion, channel and bank management was common, with 38% of streams demonstrating channel modification (damming) and 80% with evidence of bank modification. Principal component analysis (PCA) at the family and species level related the macroinvertebrates to habitat variables derived at three spatial scales -- site (20 m), reach (200 m), and catchment. Variation in community structure between sites was similar at the species and family level and was statistically related to pH, conductivity, temperature, flow, shade, and substrate size at the site scale; channel and bank habitat and riparian vegetation and land-use at the reach scale; and altitude and slope at the catchment scale. While the effects of river management were apparent in various ecologically important habitat features at the site and reach scale, a direct relationship with macroinvertebrate assemblages was only apparent between the extent of walled banks and the secondary PCA axis described by species data. The strong relationship between catchment scale variables and descriptors of physical structure at the reach and site scale suggests that catchment-scale parameters are valuable predicators of macroinvertebrate community structure in these streams despite the anthropogenic modifications of the natural habitat.

Modélisation en bandes C et X de la rétrodiffusion de couverts de neige sèche : évaluation de l’apport de l’approximation quasi-cristalline pour les milieux denses.

La compréhension et la modélisation de l’interaction de l’onde électromagnétique avec la neige sont très importantes pour l’application des technologies radars à des domaines tels que l’hydrologie et la climatologie. En plus de dépendre des propriétés de la neige, le signal radar mesuré dépendra aussi des caractéristiques du capteur et du sol. La compréhension et la quantification des différents processus de diffusion du signal dans un couvert nival s’effectuent à travers les théories de diffusions de l’onde électromagnétique. La neige, dans certaines conditions, peut être considérée comme un milieu dense lorsque les particules de glace qui la composent y occupent une fraction volumique considérable. Dans un tel milieu, les processus de diffusion par les particules ne se font plus de façon indépendante, mais de façon cohérente. L’approximation quasi-cristalline pour les milieux denses est une des théories élaborées afin de prendre en compte ces processus de diffusions cohérents. Son apport a été démontré dans de nombreuses études pour des fréquences > 10 GHz où l’épaisseur optique de la neige est importante et où la diffusion de volume est prédominante. Par contre, les capteurs satellitaires radar présentement disponibles utilisent les bandes L (1-2GHz), C (4-8GHz) et X (8-12GHz), à des fréquences principalement en deçà des 10 GHz. L’objectif de la présente étude est d’évaluer l’apport du modèle de diffusion issu de l’approximation quasi-cristalline pour les milieux denses (QCA/DMRT) dans la modélisation de couverts de neige sèches en bandes C et X. L’approche utilisée consiste à comparer la modélisation de couverts de neige sèches sous QCA/DMRT à la modélisation indépendante sous l’approximation de Rayleigh. La zone d’étude consiste en deux sites localisés sur des milieux agricoles, près de Lévis au Québec. Au total 9 champs sont échantillonnés sur les deux sites afin d’effectuer la modélisation. Dans un premier temps, une analyse comparative des paramètres du transfert radiatif entre les deux modèles de diffusion a été effectuée. Pour des paramètres de cohésion inférieurs à 0,15 à des fractions volumiques entre 0,1 et 0,3, le modèle QCA/DMRT présentait des différences par rapport à Rayleigh. Un coefficient de cohésion optimal a ensuite été déterminé pour la modélisation d’un couvert nival en bandes C et X. L’optimisation de ce paramètre a permis de conclure qu’un paramètre de cohésion de 0,1 était optimal pour notre jeu de données. Cette très faible valeur de paramètre de cohésion entraîne une augmentation des coefficients de diffusion et d’extinction pour QCA/DMRT ainsi que des différences avec les paramètres de Rayleigh. Puis, une analyse de l’influence des caractéristiques du couvert nival sur les différentes contributions du signal est réalisée pour les 2 bandes C et X. En bande C, le modèle de Rayleigh permettait de considérer la neige comme étant transparente au signal à des angles d’incidence inférieurs à 35°. Vu l’augmentation de l’extinction du signal sous QCA/DMRT, le signal en provenance du sol est atténué d’au moins 5% sur l’ensemble des angles d’incidence, à de faibles fractions volumiques et fortes tailles de grains de neige, nous empêchant ainsi de considérer la transparence de la neige au signal micro-onde sous QCA/DMRT en bande C. En bande X, l’augmentation significative des coefficients de diffusion par rapport à la bande C, ne nous permet plus d’ignorer l’extinction du signal. La part occupée par la rétrodiffusion de volume peut dans certaines conditions, devenir la part prépondérante dans la rétrodiffusion totale. Pour terminer, les résultats de la modélisation de couverts de neige sous QCA/DMRT sont validés à l’aide de données RADARSAT-2 et TerraSAR-X. Les deux modèles présentaient des rétrodiffusions totales semblables qui concordaient bien avec les données RADARSAT-2 et TerraSAR-X. Pour RADARSAT-2, le RMSE du modèle QCA/DMRT est de 2,52 dB en HH et 2,92 dB en VV et pour Rayleigh il est de 2,64 dB en HH et 3,01 dB en VV. Pour ce qui est de TerraSAR-X, le RMSE du modèle QCA/DMRT allait de 1,88 dB en HH à 2,32 dB en VV et de 2,20 dB en HH à 2,71 dB en VV pour Rayleigh. Les valeurs de rétrodiffusion totales des deux modèles sont assez similaires. Par contre, les principales différences entre les deux modèles sont bien évidentes dans la répartition des différentes contributions de cette rétrodiffusion totale.