Analysis of irregular behaviour on an optical computing logic cell

A new methodology to study irregular behaviours in logic cells is reported. It is based on two types of diagrams, namely phase and working diagrams. Sets of four bits are grouped and represented by their hexadecimal equivalent. Some hexadecimal numbers correspond to certain logic functions. The influence of the internal and external tolerances, namely those appearing in the employed devices and in the working signals, may be analysed with this method. Its importance in the case of logic structures with chaotic behaviours is studied.

Estimation of a probability in inverse binomial sampling under normalized linear-linear and inverse-linear loss

Sequential estimation of the success probability $p$ in inverse binomial sampling is considered in this paper. For any estimator $\hatvap$, its quality is measured by the risk associated with normalized loss functions of linear-linear or inverse-linear form. These functions are possibly asymmetric, with arbitrary slope parameters $a$ and $b$ for $\hatvap < p$ and $\hatvap > p$ respectively. Interest in these functions is motivated by their significance and potential uses, which are briefly discussed. Estimators are given for which the risk has an asymptotic value as $p \rightarrow 0$, and which guarantee that, for any $p \in (0,1)$, the risk is lower than its asymptotic value. This allows selecting the required number of successes, $\nnum$, to meet a prescribed quality irrespective of the unknown $p$. In addition, the proposed estimators are shown to be approximately minimax when $a/b$ does not deviate too much from $1$, and asymptotically minimax as $\nnum \rightarrow \infty$ when $a=b$.

Influencia de la maquinaria agrícola sobre la variabilidad espacial de la compactación del suelo. Aplicación de la metodología geoestadística-fractal

El cultivo de la caña de azúcar es uno de los más importantes en muchos países del mundo. Los suelos dedicados a este cultivo son usualmente compactados por el tránsito de la maquinaria en el proceso de cosecha. El uso combinado de la geoestadística con el análisis fractal ha demostrado ser útil para el estudio de los mismos. El objetivo del trabajo fue determinar los cambios espaciales de la resistencia a la penetración del suelo debido a la influencia del tránsito de la maquinaria en el proceso de cosecha de la caña de azúcar en un Vertisol, aplicando la metodología geoestadística-fractal. La investigación se llevó a cabo en el período de cosecha 2008-2009. Se evaluó la resistencia a la penetración en dos momentos, antes y después de la cosecha. El muestreo se realizó sistemáticamente en cuadrícula y en transecto, seleccionando 144 y 100 observaciones antes y después de la cosecha, respectivamente, y 221 para el transecto en diagonal. También se determinó el contenido de humedad del suelo por el método gravimétrico, para lo que se tomaron 288 muestras aleatorias en todo el campo. Los resultados demuestran que los valores de resistencia a la penetración (RP) presentaron una distribución normal a partir de los 5 cm de profundidad, el tránsito de la maquinaria agrícola para la cosecha de la caña de azúcar provocó concentración de la variabilidad espacial a escalas inferiores a la del muestreo (el efecto pepita aumentó), un aumento del rango de correlación espacial y una redistribución de las zonas de compactación (las variaciones de los mapas de Krigeaje). También indujo anti-persistencia y anisotropía en algunas direcciones horizontales. Se observó un comportamiento irregular de (RP) verticalmente en el transecto, donde no solamente influyó la maquinaria, sino que también otros factores influyeron como: la hilera, borde de la hilera y grietas. ABSTRACT The cultivation of the cane of sugar is one of the most important in many countries of the world. The soils dedicated to this cultivation are usually compacted by the traffic of the machinery in the harvest process. The combined use of the geostatistics with the fractal analysis has demonstrated to be useful for the study of the same ones. The objective of the work was to determine the space changes from the resistance to the penetration of the floor due to the influence of the traffic of the machinery in the harvest process of harvest of the cane of sugar in a Vertisol applying the geostatistic-fractal methodology. The investigation was carried out in the period of harvest 2008-2009. The resistance to the penetration at two moments was evaluated, before and after the harvest. The sampling was realized systematically in grid and transect, selecting 144 and 100 observations before and after the harvest, respectively, and 221 for transect in diagonal. Also the soil moisture content of the ground by the gravimetric method was determined, so 288 random samples in the entire field were taken. The results shown that resistance to penetration values presented a normal distribution deeper than 5 cm before and after harvest. The transit of the agricultural machinery for sugar cane harvest concentrated the space variability at lower distances than the sampling one, reflected an increase in the nugget effect. At the same time, an increase space correlation rank and a redistribution of compaction areas were observed studying the variations in kriging maps. Another effect of the agricultural machinery transit was to induce antipersistence and anisotropy in some horizontal directions. However, in vertical direction of the longest transect an irregular behaviour was induced not only by the machinery as by another factors such as soil cracks, crop rows and allocation.

Almost rejectionless sampling from Nakagami-m distributions (m ≥ 1)

The Nakagami-m distribution is widely used for the simulation of fading channels in wireless communications. A novel, simple and extremely efficient acceptance-rejection algorithm is introduced for the generation of independent Nakagami-m random variables. The proposed method uses another Nakagami density with a half-integer value of the fading parameter, mp ¼ n/2 ≤ m, as proposal function, from which samples can be drawn exactly and easily. This novel rejection technique is able to work with arbitrary values of m ≥ 1, average path energy, V, and provides a higher acceptance rate than all currently available methods. RESUMEN. Método extremadamente eficiente para generar variables aleatorias de Nakagami (utilizadas para modelar el desvanecimiento en canales de comunicaciones móviles) basado en "rejection sampling".

Efficient sampling from truncated bivariate Gaussians via Box-Muller transformation

Many practical simulation tasks demand procedures to draw samples efficiently from multivariate truncated Gaussian distributions. In this work, we introduce a novel rejection approach, based on the Box-Muller transformation, to generate samples from a truncated bivariate Gaussian density with an arbitrary support. Furthermore, for an important class of support regions the new method allows us to achieve exact sampling, thus becoming the most efficient approach possible. RESUMEN. Método específico para generar muestras de manera eficiente de Gaussianas bidimensionales truncadas con cualquier zona de truncamiento basado en la transformación de Box-Muller.

Efficient random variable generation: ratio of uniforms and polar rejection sampling

Monte Carlo techniques, which require the generation of samples from some target density, are often the only alternative for performing Bayesian inference. Two classic sampling techniques to draw independent samples are the ratio of uniforms (RoU) and rejection sampling (RS). An efficient sampling algorithm is proposed combining the RoU and polar RS (i.e. RS inside a sector of a circle using polar coordinates). Its efficiency is shown in drawing samples from truncated Cauchy and Gaussian random variables, which have many important applications in signal processing and communications. RESUMEN. Método eficiente para generar algunas variables aleatorias de uso común en procesado de señal y comunicaciones (por ejemplo, Gaussianas o Cauchy truncadas) mediante la combinación de dos técnicas: "ratio of uniforms" y "rejection sampling".

Reducing the dimensionality effect in importance sampling simulations

The dimensionality effect is avoided by the use of sufficient statistics in event probability estimators realised by importance sampling. If the system function is not a sufficient statistic, an approach is proposed to reduce the dimensionality effect in the estimators. Simulation results of false-alarm probability estimations, applied to radar detection, confirm a clear concordance with the theoretical results

Sampling associated with resolvent-type kernels and lagrange-type interpolation series

In this paper a new class of Kramer kernels is introduced, motivated by the resolvent of a symmetric operator with compact resolvent. The article gives a necessary and sufficient condition to ensure that the associ- ated sampling formula can be expressed as a Lagrange-type interpolation series. Finally, an illustrative example, taken from the Hamburger moment problem theory, is included.

The Kramer sampling theorem revisited

The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. Besides, it has been the cornerstone for a significant mathematical literature on the topic of sampling theorems associated with differential and difference problems. In this work we provide, in an unified way, new and old generalizations of this result corresponding to various different settings; all these generalizations are illustrated with examples. All the different situations along the paper share a basic approach: the functions to be sampled are obtaining by duality in a separable Hilbert space H through an H -valued kernel K defined on an appropriate domain.

On some sampling-related frames in U-invariant spaces

This paper concerns the characterization as frames of some sequences in U-invariant spaces of a separable Hilbert space H where U denotes an unitary operator defined on H ; besides, the dual frames having the same form are also found. This general setting includes, in particular, shift-invariant or modulation-invariant subspaces in L2 (R), where these frames are intimately related to the generalized sampling problem. We also deal with some related perturbation problems. In so doing, we need that the unitary operator U belongs to a continuous group of unitary operators.

Generalized sampling in U-invariant subspaces

In this work we carry out some results in sampling theory for U-invariant subspaces of a separable Hilbert space H, also called atomic subspaces. These spaces are a generalization of the well-known shift- invariant subspaces in L2 (R); here the space L2 (R) is replaced by H, and the shift operator by U. Having as data the samples of some related operators, we derive frame expansions allowing the recovery of the elements in Aa. Moreover, we include a frame perturbation-type result whenever the samples are affected with a jitter error.

Sampling strategies using the "accumulation chamber" for monitoring geological storage of CO2

Fundación Ciudad de la Energía (CIUDEN) is carrying out a project of geological storage of CO2, where CO2 injection tests are planned in saline aquifers at a depth of 1500 m for scientific objectives and project demonstration. Before any CO2 is stored, it is necessary to determine the baseline flux of CO2 in order to detect potential leakage during injection and post-injection monitoring. In November 2009 diffuse flux measurements of CO2 using an accumulation chamber were made in the area selected by CIUDEN for geological storage, located in Hontomin province of Burgos (Spain). This paper presents the tests carried out in order to establish the optimum sampling methodology and the geostatistical analyses performed to determine the range, with which future field campaigns will be planned.

On-road visual vehicle tracking using Markov chain Monte Carlo with metropolis sampling

In this study, a method for vehicle tracking through video analysis based on Markov chain Monte Carlo (MCMC) particle filtering with metropolis sampling is proposed. The method handles multiple targets with low computational requirements and is, therefore, ideally suited for advanced-driver assistance systems that involve real-time operation. The method exploits the removed perspective domain given by inverse perspective mapping (IPM) to define a fast and efficient likelihood model. Additionally, the method encompasses an interaction model using Markov Random Fields (MRF) that allows treatment of dependencies between the motions of targets. The proposed method is tested in highway sequences and compared to state-of-the-art methods for vehicle tracking, i.e., independent target tracking with Kalman filtering (KF) and joint tracking with particle filtering. The results showed fewer tracking failures using the proposed method.

Spatial sampling methods for improved communication for wireless relay robots

Having reliable wireless communication in a network of mobile robots is an ongoing challenge, especially when the mobile robots are given tasks in hostile or harmful environments such as radiation environments in scientific facilities, tunnels with large metallic components and complicated geometries as found at CERN. In this paper, we propose a decentralised method for improving the wireless network throughput by optimizing the wireless relay robot position to receive the best wireless signal strength using implicit spatial diversity concepts and gradient-search algorithms. We experimentally demonstrate the effectiveness of the proposed solutions with a KUKA Youbot omni-directional mobile robot. The performance of the algorithms is compared under various scenarios in an underground scientific facility at CERN.

Estudios corológicos de plantas vasculares en la cuenca media del Tajo

Se ha realizado un estudio de la distribución de plantas vasculares en un territorio situado entre las provincias de Cuenca, Guadalajara, Madrid y Toledo (España). El territorio estudiado está en la Submeseta Sur de la península ibérica, al sur del Sistema Central, norte de los Montes de Toledo y oeste del Sistema Ibérico, en zonas sedimentarias con poco relieve y clima mediterráneo, con grandes contrastes de temperatura y precipitaciones muy irregulares. Coincide con las regiones naturales llamadas: “Alcarrias”, “Campiñas de Madrid y Guadalajara” y “Vegas de los ríos de la Cuenca del Tajo”. Es lo que he llamado Cuenca Media del Tajo. En una primera fase se ha estudiado la flora regional para adquirir conocimientos previos mediante las consultas bibliográficas y de herbarios, se ha contado con bases de datos disponibles para MA, MACB, MAF, JACA, AH, ABH, VAL, SALA y EMMA. Se han revisado las aportaciones propias que en los últimos años he realizado en el territorio en relación a los temas tratados en la tesis. El trabajo de campo ha consistido en la realización de inventarios de presencia de flora. Ha sido muy importante la tarea herborizadora para llegar a la correcta identificación de las especies colectadas en los inventarios. De esta forma el autor ha confeccionado un herbario propio JML que en el territorio muestreado ha reunido cerca de 15000 números en las cuatro provincias estudiadas. Se ha hecho un muestreo sistemático del territorio con unos 6000 listados de plantas. Se ha tomado como unidad de muestreo la cuadrícula de UTM de 1 km de lado incluida como una centésima parte de la cuadrícula de UTM de 10 km. Se han seguido criterios para uniformizar el muestreo. Se ha apuntado el tiempo empleado y la superficie muestreada estimada en cada toma de datos. El criterio mínimo que tienen que cumplir todas las cuadrículas en el área estudiada ha sido que para cada cuadrícula de UTM de 5 km se han realizado al menos 5 inventarios en 5 cuadrículas diferentes de UTM de 1 km y al menos en una hora de tiempo. La unidad de comparación ha sido la cuadrícula UTM de 5 km. Se han informatizado los inventarios de campo, para ello se ha creado la base de datos TESIS en Microsoft office –Access-. Las principales tablas son LOCALIDAD, en la que se anotan las características del lugar muestreado y ESPECIES, que lista las especies de flora consideradas en las cuatro provincias del estudio. Por medio de formularios se han rellenado las tablas; destaca la tabla ESPECIE INVENTARIO que relaciona las tablas ESPECIES y LOCALIDAD; esta tabla cuenta en este momento con unos 165.000 registros. En la tabla ESPECIES_FPVI se visualizan las especies recopiladas. Se ha creado un indicador llamado FPVI “Flora permanentemente visible identificable” que consiste en atribuir a cada especie unos índices que nos permiten saber si una determinada planta se puede detectar en cualquier época del año. Los resultados presentados son: Creación de la base de datos TESIS. El Catálogo Florístico de la Cuenca Media del Tajo, que es el catálogo de la flora de las cuatro provincias desde el principio de la sistemática hasta las Saxifragáceas. En total se han recopilado 1028 taxones distribuidos en 77 familias. Se ha calculado el índice FPVI, para las especies del catálogo. La finalidad para la que se ha diseñado este índice es para poder comparar territorios. Para el desarrollo de ambos resultados ha sido fundamental el desarrollo de la tabla ESPECIES_PVI de la base de datos TESIS. En la tabla ESPECIES_PVI se han apuntado las características ecológicas y se revisa la información bibliográfica disponible para cada especie; las principales fuentes de información consultadas han sido Flora iberica, el proyecto “Anthos” y las bases de datos de los herbarios. Se ha apuntado sí se ha visto, sí está protegida o sí en un endemismo. Otros resultados son: la localización de las cuadrículas de UTM de 10 km, con mayor número de endemismos o especies singulares, con mayor valor botánico. Se ha realizado un par de ejemplos de estudios de autoecología de especie, en concreto Teucrium pumilum y Clematis recta. Se han confeccionando salidas cartográficas de distribución de especies. Se ha elaborado el herbario JML. Se ha presentado una sencilla herramienta para incluir inventarios florísticos, citas corológicas, consultas de autoecología o etiquetado de pliegos de herbario. Como colofón, se ha colaborado para desarrollar una aplicación informática de visualización, análisis y estudio de la distribución de taxones vegetales, que ha utilizado como datos de partida un porcentaje importante de los obtenidos para esta tesis. ABSTRACT I have made a study of the distribution of vascular plants in a territory located between the provinces of Cuenca, Guadalajara, Madrid and Toledo (Spain). The studied area is in the “Submeseta” South of the Iberian Peninsula, south of the Central System, north of the Montes de Toledo and west of the Iberian System, in sedimentary areas with little relief and Mediterranean climate, with big temperature contrasts and irregular rainfall. Coincides with the natural regions called "Alcarrias", "countryside of Madrid and Guadalajara" and “Vegas River Tagus Basin”. This is what I have called Middle Tagus Basin. In a first step we have studied the regional flora to acquire prior knowledge through the literature and herbaria consultations, it has had available databases for MA, MACB, MAF, JACA, AH, ABH, VAL, SALA and EMMA herbaria. The contributions I have made in the last years in the territory in relation to the topics discussed in the thesis have been revised. The field work consisted of conducting inventories presence of flora. Botanize was a very important task to get to the correct identification of the species collected in inventories. In this way the author has made his own herbarium JML in the sampled area has met at least 15000 samples in the four studied provinces. There has been a systematic sampling of the territory with nearly 6,000 listings of plants. Was taken as the sampling unit grid UTM 1 km side included as a hundredth of the UTM grid of 10 km from side. Criteria have been taken to standardize the sampling. Data were taken of the time spent and the estimated sampled surface. The minimum criteria they have to meet all the grids in the study area has been that for each UTM grid of 5 km have been made at least 5 stocks in 5 different grids UTM 1 km and at least one hour of time. The unit of comparison was the UTM grid of 5 km. I have computerized inventories of field, for it was created a database in Access- Microsoft office -TESIS. The main tables are LOCALIDAD, with caracteristics of the sampled location and ESPECIES, which lists the plant species considered in the four provinces of the study, is. Through forms I filled in the tables; highlights ESPECIE INVENTARIO table that relates the tables ESPECIES and LOCALIDAD, this table is counted at the moment with about 165,000 records. The table ESPECIES FPVI visualizes all recollected species. We have created an indicator called FPVI "Flora permanently visible identifiable" that attributes to each species indices that allow us to know whether a given plant can be detected in any season. The results presented are: Creating data base TESIS. The Floristic Books Middle Tagus Basin, which is a catalog of the flora of the four provinces since the beginning of the systematic until Saxifragaceae. In total 1028 collected taxa in 77 families. We calculated FPVI index for species catalog. The purpose for which this index designed is, to compare territories. For the development of both results, it was essential to develop the table ESPECIES_PVI TESIS data base. Table ESPECIES_PVI has signed the ecological characteristics and bibliographic information available for each species is revised; the main sources of information has been Flora iberica, the Anthos project databases of herbaria. Targeted species has been recorded, when seen, protected or endemism. Have also been located UTM grids of 10 km, with the largest number of endemic or unique species and more botanical value. There have been a couple of species autecology studies, namely Teucrium pumilum and Clematis recta, as an example of this type of study. They have been putting together maps of species distribution. We made herbarium JML. I have presented a simple tool to include floristic inventories, chorological appointments, consultations or to tag autoecology herbarium specimens. To cap it has worked to develop a computer application for visualization, analysis and study of the distribution of plant taxa, which has used as input data a significant percentage of those obtained for this thesis.