Average Rate of Downlink Heterogeneous Cellular Networks over Generalized Fading Channels - A Stochastic Geometry Approach

In this paper, we introduce an analytical framework to compute the average rate of downlink heterogeneous cellular networks. The framework leverages recent application of stochastic geometry to other-cell interference modeling and analysis. The heterogeneous cellular network is modeled as the superposition of many tiers of Base Stations (BSs) having different transmit power, density, path-loss exponent, fading parameters and distribution, and unequal biasing for flexible tier association. A long-term averaged maximum biased-received-power tier association is considered. The positions of the BSs in each tier are modeled as points of an independent Poisson Point Process (PPP). Under these assumptions, we introduce a new analytical methodology to evaluate the average rate, which avoids the computation of the Coverage Probability (Pcov) and needs only the Moment Generating Function (MGF) of the aggregate interference at the probe mobile terminal. The distinguishable characteristic of our analytical methodology consists in providing a tractable and numerically efficient framework that is applicable to general fading distributions, including composite fading channels with small- and mid-scale fluctuations. In addition, our method can efficiently handle correlated Log-Normal shadowing with little increase of the computational complexity. The proposed MGF-based approach needs the computation of either a single or a two-fold numerical integral, thus reducing the complexity of Pcov-based frameworks, which require, for general fading distributions, the computation of a four-fold integral.Comment: Accepted for publication in IEEE Transactions on Communications, to appea

Modeling and Simulating GNSS Signal Structures and Receivers

In this thesis an end-to-end simulation was implemented encompassing the important effects from the user segments point of view. The modeling and implementation aimed to take all the relevant features into account that have a direct and significant impact on the performance of a GNSS receiver. In particular, emphasis was on the effects that are hard to formulate and treat theoretically, such as non-linearities, stochastic processes and the highly complex boundary conditions generated by the interaction of the signal with the environment. The three most important parts of the model development are the signal model, the signal propagation model and the receiver model. The signal model is an extension of the well-known signal modeling used to describe GPS signals. The present model was extended to include any sort of signal structure The most important part of the signal propagation model is essentially a ray-tracing algorithm together with the application of the Fresnel equations. This is a 3-D exact specular ray-tracing, which was derived and implemented during the work accompanying this thesis. Beside the signal model the receiver model constitutes a major part of this work. Essentially, it is a dynamic modeling of the tracking process (DLL and PLL). As the model is based on continuous calculus it was a challenge to incorporate the effects of the noise processes. However, this was solved by using the Îto calculus to extend the ordinary differential equations to stochastic differential equations. The implementation was verified by comparing the results to known theoretical expressions and an indirect experimental verification was performed in the sense that some of the theoretical formulas have been compared with experimental data.In dieser Artbeit wurde ein end-to-end Simulator entwickelt, der die wichtigsten Effekte aus der Sicht des Empfängernutzers berücksichtigt. Bei der Modellierung und der Implementierung wurde versucht die Faktoren zu berücksichtigen, die einen wesentlichen Einfluss auf die Performance eines GNSS Empfängers haben. Die drei wichtigsten Modellkomponenten sind das Signalmodell, das Signalausbreitungsmodell und das Empfängermodell. Das Signalmodell ist eine Verallgemeinerung des bekannten Signalmodells, das für die Modellierung von GPS C/A-code Signalen verwendet wird. Dieses Modell wurde für beliebige Signalstrukturen erweitert. Der Kern des Signalausbreitungsmodells ist ein Ray-tracing Algorithmus zusammen mit der Anwendung der Fresnel Gleichungen. Dabei handelt es sich um ein exaktes, dreidimensionales Ray-tracing Modell, das während der Arbeit entwickelt und implementiert wurde. Das Empfängermodell stellt ebenfalls einen wichtigen Teil der Arbeit dar. Im Wesentlichen werden die Regelkreise (DLL und PLL) als dynamischer Prozess modelliert. Das Modell basiert auf einem kontinuierlichen Ansatz, was die Einbindung von Rauschprozessen erschwerte. Durch die Interpretation der gewöhnlichen Differentialgleichungen als stochastiche Differentialgleichungen und Verwendung des Îto Kalküls konnten verrauschte Signale berücksichtigt werden. Die Implementierung wurde durch den Vergleich bekannter theoretischer Ergebnisse verifiziert. Da die meisten theoretischen Ausdrücke schon mit Experimenten verglichen worden sind, kann dies als indirekter Vergleich mit Experimenten gesehen werden

A proteomic investigation of the immune response of the South African abalone, Haliotis midae

Includes bibliographical referencesHaliotis midae is a commercially important abalone in South Africa, previously harvested from a stable, quota-managed fishery. However, the combined effects of overharvesting, increased illegal catches and negative environmental factors led to a collapse in wild populations in the mid-90s. Consequently, land-based aquaculture of H. midae has grown significantly in South Africa, to satisfy the global demand for abalone and alleviate pressure on wild stocks. Unfortunately, disease outbreaks have had a severe impact on the abalone aquaculture industry internationally and remain one of the single biggest factors contributing to economic loss. Understanding the effects of pathogen infection of abalone is therefore crucial to mitigating and controlling infection outbreaks on farms. Despite this, the molecular mechanisms underlying the immune response of H. midae remain obscure. High-throughput proteomics, a powerful tool to analyse global protein expression changes, can provide an integrated view of the immune system. Thus, this study aimed to elucidate the haemocyte proteome of H. midae and gain insight into regulatory molecular pathways underlying innate immunity. In this study, a comparative shotgun proteomics approach using isobaric tagging for relative and absolute quantification (iTRAQ) coupled with LC-MS/MS was employed to investigate H. midae proteome changes in response to Vibrio anguillarum challenge. A preliminary iTRAQ challenge trial was conducted which identified a putative early (1 and 2 hours post-injection) and late (48 hours post-injection) proteome response to bacterial-challenge. Using these time points, four independent challenge trials were conducted and analysed by iTRAQ and the results combined to produce a high-confidence dataset with good quantitative reproducibility for statistical analysis. A parallel set of experiments was conducted using mock-infected samples

Applications of MATLAB in Science and Engineering

The book consists of 24 chapters illustrating a wide range of areas where MATLAB tools are applied. These areas include mathematics, physics, chemistry and chemical engineering, mechanical engineering, biological (molecular biology) and medical sciences, communication and control systems, digital signal, image and video processing, system modeling and simulation. Many interesting problems have been included throughout the book, and its contents will be beneficial for students and professionals in wide areas of interest