Low-complexity timing synchronization scheme for MB-OFDM UWB receiver based on sign-bit

A unified low complexity sign-bit correlation based symbol timing synchronization scheme for Multiband Orthogonal Frequency Division Multiplexing (MB-OFDM) Ultra Wideband (UWB) receiver system is proposed. By using the time domain sequence of the packet/frame synchronization preamble, the proposed scheme is in charge of detecting the upcoming MB-OFDM symbol and it estimates the exact boundary of the start of Fast Fourier Transform (FFT) window. The proposed algorithm is implemented by using an efficient Hardware-Software co-simulation methodology. The effectiveness of the proposed synchronization scheme and the optimization criteria is confirmed by hardware implementation results.

Analysis of spontaneous MEG activity in mild cognitive impairment and Alzheimer's disease using spectral entropies and statistical complexity measures

Alzheimer's disease (AD) is the most common cause of dementia. Over the last few years, a considerable effort has been devoted to exploring new biomarkers. Nevertheless, a better understanding of brain dynamics is still required to optimize therapeutic strategies. In this regard, the characterization of mild cognitive impairment (MCI) is crucial, due to the high conversion rate from MCI to AD. However, only a few studies have focused on the analysis of magnetoencephalographic (MEG) rhythms to characterize AD and MCI. In this study, we assess the ability of several parameters derived from information theory to describe spontaneous MEG activity from 36 AD patients, 18 MCI subjects and 26 controls. Three entropies (Shannon, Tsallis and Rényi entropies), one disequilibrium measure (based on Euclidean distance ED) and three statistical complexities (based on Lopez Ruiz–Mancini–Calbet complexity LMC) were used to estimate the irregularity and statistical complexity of MEG activity. Statistically significant differences between AD patients and controls were obtained with all parameters (p < 0.01). In addition, statistically significant differences between MCI subjects and controls were achieved by ED and LMC (p < 0.05). In order to assess the diagnostic ability of the parameters, a linear discriminant analysis with a leave-one-out cross-validation procedure was applied. The accuracies reached 83.9% and 65.9% to discriminate AD and MCI subjects from controls, respectively. Our findings suggest that MCI subjects exhibit an intermediate pattern of abnormalities between normal aging and AD. Furthermore, the proposed parameters provide a new description of brain dynamics in AD and MCI.

Complexity in the Optimisation of ATM Performance Metrics

Today's motivation for autonomous systems research stems out of the fact that networked environments have reached a level of complexity and heterogeneity that make their control and management by solely human administrators more and more difficult. The optimisation of performance metrics for the air traffic management system, like in other networked system, has become more complex with increasing number of flights, capacity constraints, environmental factors and safety regulations. It is anticipated that a new structure of planning layers and the introduction of higher levels of automation will reduce complexity and will optimise the performance metrics of the air traffic management system. This paper discusses the complexity of optimising air traffic management performance metrics and proposes a way forward based on higher levels of automation.

Facing informatics via three level complexity views

In informatics there is one kind of complexity that is perceived by everyone. It is the complexity of a concrete, isolated object, normally situated completely within one of the branches universally recognized by the scientific and technical community. Examples of this are the complexity of integrated electronic circuits, the complexity of lgorithms and the complexity of software. The first complexity deals with the number of circuit components, the second with computation time and the third with the number of necessary mental discriminations. In arder to illustrate my point, I will take up the last complexity, which, m o reo ver, is the least well-known.

Towards a conceptual remodeling of information technologies based on a broad consideration of complexity

Actas.

Proposal of a three level complexity model for office automation

Office automation is one of the fields where the complexity related with technologies and working environments can be best shown. This is the starting point we have chosen to build up a theoretical model that shows us a scene quite different from the one traditionally considered. Through the development of the model, the levels of complexity associated with office automation and office environments have been identified, establishing a relationship between them. Thus, the model allows to state a general principle for sociotechnical design of office automation systems, comprising the ontological distinctions needed to properly evaluate each particular technology and its virtual contribution to office automation. From this fact comes the model's taxonomic ability to draw a global perspective of the state-of-art in office automation technologies.

A Complexity Architecture for Information Technologies: a Three-Year Didactic Experiment

One medium-term strategy for helping in the management of complexity is the introduction of a conceptual complexity component in the very centre of university curricula. In very few areas is the growth of complexity as evident as in the information technologies (ITs), the focus of the work presented in the current paper. We have therefore developed an integrated way of tackling the specific field of information technologies by means of an approach,to complexity. The content of this paper describes the guidelines of our research effort, placing an emphasis on informatics. Concepts of complexity based on the system metaphor have been substantially drawn upon in this exercise and are thus presented in some detail. Also described is a didactic experiment conducted by the author and designed to provide a new and integrating approach to University curricula for future professionals. The students' "discovery" of complexity is the focal point of the experiment. The findings of this effort are encouraging and call for the continuation and expansion of this experiment.

Approximate Relational Reasoning for Probabilistic Programs

La seguridad verificada es una metodología para demostrar propiedades de seguridad de los sistemas informáticos que se destaca por las altas garantías de corrección que provee. Los sistemas informáticos se modelan como programas probabilísticos y para probar que verifican una determinada propiedad de seguridad se utilizan técnicas rigurosas basadas en modelos matemáticos de los programas. En particular, la seguridad verificada promueve el uso de demostradores de teoremas interactivos o automáticos para construir demostraciones completamente formales cuya corrección es certificada mecánicamente (por ordenador). La seguridad verificada demostró ser una técnica muy efectiva para razonar sobre diversas nociones de seguridad en el área de criptografía. Sin embargo, no ha podido cubrir un importante conjunto de nociones de seguridad “aproximada”. La característica distintiva de estas nociones de seguridad es que se expresan como una condición de “similitud” entre las distribuciones de salida de dos programas probabilísticos y esta similitud se cuantifica usando alguna noción de distancia entre distribuciones de probabilidad. Este conjunto incluye destacadas nociones de seguridad de diversas áreas como la minería de datos privados, el análisis de flujo de información y la criptografía. Ejemplos representativos de estas nociones de seguridad son la indiferenciabilidad, que permite reemplazar un componente idealizado de un sistema por una implementación concreta (sin alterar significativamente sus propiedades de seguridad), o la privacidad diferencial, una noción de privacidad que ha recibido mucha atención en los últimos años y tiene como objetivo evitar la publicación datos confidenciales en la minería de datos. La falta de técnicas rigurosas que permitan verificar formalmente este tipo de propiedades constituye un notable problema abierto que tiene que ser abordado. En esta tesis introducimos varias lógicas de programa quantitativas para razonar sobre esta clase de propiedades de seguridad. Nuestra principal contribución teórica es una versión quantitativa de una lógica de Hoare relacional para programas probabilísticos. Las pruebas de correción de estas lógicas son completamente formalizadas en el asistente de pruebas Coq. Desarrollamos, además, una herramienta para razonar sobre propiedades de programas a través de estas lógicas extendiendo CertiCrypt, un framework para verificar pruebas de criptografía en Coq. Confirmamos la efectividad y aplicabilidad de nuestra metodología construyendo pruebas certificadas por ordendor de varios sistemas cuyo análisis estaba fuera del alcance de la seguridad verificada. Esto incluye, entre otros, una meta-construcción para diseñar funciones de hash “seguras” sobre curvas elípticas y algoritmos diferencialmente privados para varios problemas de optimización combinatoria de la literatura reciente. ABSTRACT The verified security methodology is an emerging approach to build high assurance proofs about security properties of computer systems. Computer systems are modeled as probabilistic programs and one relies on rigorous program semantics techniques to prove that they comply with a given security goal. In particular, it advocates the use of interactive theorem provers or automated provers to build fully formal machine-checked versions of these security proofs. The verified security methodology has proved successful in modeling and reasoning about several standard security notions in the area of cryptography. However, it has fallen short of covering an important class of approximate, quantitative security notions. The distinguishing characteristic of this class of security notions is that they are stated as a “similarity” condition between the output distributions of two probabilistic programs, and this similarity is quantified using some notion of distance between probability distributions. This class comprises prominent security notions from multiple areas such as private data analysis, information flow analysis and cryptography. These include, for instance, indifferentiability, which enables securely replacing an idealized component of system with a concrete implementation, and differential privacy, a notion of privacy-preserving data mining that has received a great deal of attention in the last few years. The lack of rigorous techniques for verifying these properties is thus an important problem that needs to be addressed. In this dissertation we introduce several quantitative program logics to reason about this class of security notions. Our main theoretical contribution is, in particular, a quantitative variant of a full-fledged relational Hoare logic for probabilistic programs. The soundness of these logics is fully formalized in the Coq proof-assistant and tool support is also available through an extension of CertiCrypt, a framework to verify cryptographic proofs in Coq. We validate the applicability of our approach by building fully machine-checked proofs for several systems that were out of the reach of the verified security methodology. These comprise, among others, a construction to build “safe” hash functions into elliptic curves and differentially private algorithms for several combinatorial optimization problems from the recent literature.

Influence of crude protein content, ingredient complexity, feed form, and duration of feeding of the phase I diets on productive performance and nutrient digestibility of Iberian pigs.

The influence of CP content and ingredient complexity, feed form, and duration of feeding of the Phase I diets on growth performance and total tract apparent digestibility -TTAD- of energy and nutrients was studied in Iberian pigs weaned at 28 d of age. There were 12 dietary treatments with 2 type of feeds -high-quality, HQ; and low-quality, LQ-, 2 feed forms -pellets vs. mash-, and 3 durations -7, 14, and 21 d- of supply of the Phase I diets.

Towards measuring the complexity of introducing semantics into a company

The Semantics Difficulty Model (SDM) is a model that measures the difficult of introducing semantics technology into a company. SDM manages three descriptions of stages, which we will refer to as ?snapshots?: a company semantic snapshot, data snapshot and semantic application snapshot. Understanding a priory the complexity of introducing semantics into a company is important because it allows the organization to take early decisions, thus saving time and money, mitigating risks and improving innovation, time to market and productivity. SDM works by measuring the distance between each initial snapshot and its reference models (the company semantic snapshots reference model, data snapshots reference model, and the semantic application snapshots reference model) with Euclidian distances. The difficulty level will be "not at all difficult" when the distance is small, and becomes "extremely difficult" when the the distance is large. SDM has been tested experimentally with 2000 simulated companies with arrangements and several initial stages. The output is measured by five linguistic values: "not at all difficult, slightly difficult, averagely difficult, very difficult and extremely difficult". As the preliminary results of our SDM simulation model indicate, transforming a search application into integrated data from different sources with semantics is a "slightly difficult", in contrast with data and opinion extraction applications for which it is "very difficult".

Desarrollo de capacidades para el liderazgo en proyectos de desarrollo rural. Aplicación a comunidades Aymaras

Los proyectos de desarrollo en el medio rural han cambiado en las últimas décadas, desde un enfoque tecnocrático y descendente, que resultó insuficiente, a otro que otorga un papel principal a las personas locales. En este contexto, los nuevos modelos de planificación y gestión de los proyectos de desarrollo a menudo incluyen entre sus objetivos el desarrollo de las capacidades locales y el liderazgo, dedicándose a ellos anualmente billones de dólares. Ambos conceptos son considerados elementos indispensables para aumentar la sostenibilidad de las acciones desde un enfoque endógeno, lo que genera un gran interés tanto desde el ámbito científico como en los debates y objetivos de los organismos internacionales. Sin embargo no existe un consenso sobre el marco conceptual del desarrollo de capacidades ni sobre las metodologías adecuadas para evaluarlo. Por otra parte, en el caso del desarrollo de liderazgo, la mayoría de los estudios e investigaciones se han centrado en entornos empresariales, siendo escasos los trabajos centrados en el ámbito rural. En dicho contexto, la complejidad se incrementa debido a que a menudo la autoridad y poder de los líderes no están dados por puestos formales, sino por relaciones sociales y vínculos de confianza. Esta investigación presenta una primera fase conceptual, que aborda el marco teórico, analizando y clarificando los conceptos de desarrollo de capacidades, competencias y liderazgo en el contexto de los proyectos de desarrollo rural. Así mismo, en esta fase se clasifican los principales instrumentos para evaluar el desarrollo de capacidades, para así definir las variables que conforman el constructo de capacidades. Además se determina la multidimensionalidad del concepto de capacidades y por ello la conveniencia de abordarlo a nivel individual y colectivo. También se analizan los distintos estilos de liderazgo para llegar a una definición propia de desarrollo de capacidades y de liderazgo adaptadas al medio rural. El marco teórico anterior permite sentar, en una segunda fase de la investigación, las bases científicas del modelo que se propone: el modelo DCL de Desarrollo de Capacidades para el Liderazgo en los proyectos de desarrollo rural. Este modelo incorpora elementos del marco conceptual Working With People (Cazorla et al., 2013), fruto de 25 años de experiencia en el ámbito de la planificación de proyectos de desarrollo rural desde el grupo de investigación GESPLAN de la Universidad Politécnica de Madrid. El modelo DCL integra metodologías cuantitativas y cualitativas y una doble escala de análisis para promover y evaluar el desarrollo de capacidades en la población local desde tres componentes: técnico-empresarial, relacional y contextual. Además el modelo DCL incorpora un proceso metodológico para poder integrar el seguimiento y la evaluación de las capacidades a lo largo del ciclo del proyecto. Finalmente, en una fase de aplicación, se acomete la validación del modelo DCL a través del caso de estudio de un proyecto de desarrollo con una organización de mujeres artesanas de comunidades aymaras de Puno (Perú). Este proyecto, que incorpora el marco conceptual WWP, integra 5 años de experiencia con comunidades aymaras desde el grupo de investigación GESPLAN. La aplicación muestra cómo el modelo DCL permite evaluar el desarrollo de capacidades para el liderazgo. Así mismo, la incorporación de los aprendizajes tras las evaluaciones de desarrollo de capacidades permite reorientar las acciones del proyecto para mejorar su planificación y gestión y producir un verdadero empoderamiento y liderazgo de la organización local. Lo anterior se traduce en un aumento de la sostenibilidad del proyecto y de la resiliencia social de la organización. ABSTRACT Development projects in rural areas have changed in recent decades, from a technocratic and top-down approach, which proved insufficient, to another that gives a major role to local people. In this context, the new models of planning and management of development projects often include among their objectives the development of local capacities and leadership and engage billions of dollars annually. Both concepts are considered essential for enhancing the sustainability of the actions from an endogenous approach, generating great interest both from the scientific field and in the debates and objectives of international organizations. However there is no consensus on the conceptual framework of capacity development and on appropriate methodologies to evaluate it. Moreover, in the case of leadership development, most of the studies and research have focused on business environments, with few studies focusing on rural areas. In this context, the complexity is increased because often the authority and power of the leaders are not given for formal positions, but by social relationships and bonds of trust. This research presents an initial conceptual phase, which addresses the theoretical framework, analyzing and clarifying the concepts of capacity development, competencies and leadership in the context of rural development projects. Also, at this stage the main instruments to assess capacity development are classified so as to define the variables that shape the capacity construct. Besides the multidimensionality of the concept of capacity is determined and therefore the convenience of addressing it at an individual and colective level. Different leadership styles are also analyzed to propose a definition of capacity development and leadership adapted to the rural environment. The above theoretical framework allows to set, in a second research phase, the scientific basis of the proposed model: the model DCL of Capacity Development for Leadership in rural development projects. This model incorporates elements of the conceptual framework Working With People (Cazorla et al., 2013), the result of 25 years of experience in the field of project planning for rural development from the research group GESPLAN of the Technical University of Madrid. The DCL model integrates quantitative and qualitative methodologies and a double scale of analysis to promote and evaluate capacity development in the local population from three components: technical-entrepreneurial, relational and contextual. Besides the DCL model incorporates a methodological process to integrate monitoring and evaluation of capacities throughout the project cycle. Finally, in an application phase, DCL model validation is undertaken through the case study of a development project with an organization of women artisans of Aymara communities in Puno (Peru). This project, that incorporates the WWP conceptual framework, integrates 5 years of experience with Aymara communities from GESPLAN research group. The application shows how the DCL model allows to assess the development of capacities for leadership. Also, the incorporation of lessons learned after monitoring and evaluation of capacity development allows to redirect actions to improve project planning and management and produce a true empowerment and leadership of the local organization. This translates into increased project sustainability and social resilience of the organization.

Non uniform embedding based on relevance analysis with reduced computational complexity: application to the detection of pathologies from biosignal recordings

Nonlinear analysis tools for studying and characterizing the dynamics of physiological signals have gained popularity, mainly because tracking sudden alterations of the inherent complexity of biological processes might be an indicator of altered physiological states. Typically, in order to perform an analysis with such tools, the physiological variables that describe the biological process under study are used to reconstruct the underlying dynamics of the biological processes. For that goal, a procedure called time-delay or uniform embedding is usually employed. Nonetheless, there is evidence of its inability for dealing with non-stationary signals, as those recorded from many physiological processes. To handle with such a drawback, this paper evaluates the utility of non-conventional time series reconstruction procedures based on non uniform embedding, applying them to automatic pattern recognition tasks. The paper compares a state of the art non uniform approach with a novel scheme which fuses embedding and feature selection at once, searching for better reconstructions of the dynamics of the system. Moreover, results are also compared with two classic uniform embedding techniques. Thus, the goal is comparing uniform and non uniform reconstruction techniques, including the one proposed in this work, for pattern recognition in biomedical signal processing tasks. Once the state space is reconstructed, the scheme followed characterizes with three classic nonlinear dynamic features (Largest Lyapunov Exponent, Correlation Dimension and Recurrence Period Density Entropy), while classification is carried out by means of a simple k-nn classifier. In order to test its generalization capabilities, the approach was tested with three different physiological databases (Speech Pathologies, Epilepsy and Heart Murmurs). In terms of the accuracy obtained to automatically detect the presence of pathologies, and for the three types of biosignals analyzed, the non uniform techniques used in this work lightly outperformed the results obtained using the uniform methods, suggesting their usefulness to characterize non-stationary biomedical signals in pattern recognition applications. On the other hand, in view of the results obtained and its low computational load, the proposed technique suggests its applicability for the applications under study.

Assessing the effects of complexity in cross-temporal transferability of species distribution modelling predictions using palaeobotanical data

Valoración de la transferencia temporal de los modelos de distribución de especies para su aplicación en nuestros días utilizando datos paleobotánicos Corilus avellana y Alnus glutinosa.

Complejidad Esencial: Un argumento por la complementariedad entre ciencia y sensibilidad = Essential Complexity: An argument for complementarity between science and sensibility

Esta investigación recoge un cúmulo de intereses en torno a un modo de generar arquitectura muy específico: La producción de objetos con una forma subyacente no apriorística. Los conocimientos expuestos se apoyan en condiciones del pensamiento reciente que impulsan la ilusión por alimentar la fuente creativa de la arquitectura con otros campos del saber. Los tiempos del conocimiento animista sensible y el conocimiento objetivo de carácter científico son correlativos en la historia pero casi nunca han sido sincrónicos. Representa asimismo un intento por aunar los dos tipos de conocimiento retomando la inercia que ya se presentía a comienzos del siglo XX. Se trata por tanto, de un ensayo sobre la posible anulación de la contraposición entre estos dos mundos para pasar a una complementariedad entre ambos en una sola visión conjunta compartida. Como meta final de esta investigación se presenta el desarrollo de un sistema crítico de análisis para los objetos arquitectónicos que permita una diferenciación entre aquellos que responden a los problemas de manera completa y sincera y aquellos otros que esconden, bajo una superficie consensuada, la falta de un método resolutivo de la complejidad en el presente creativo. La Investigación observa tres grupos de conocimiento diferenciados agrupados en sus capítulos correspondientes: El primer capítulo versa sobre el Impulso Creador. En él se define la necesidad de crear un marco para el individuo creador, aquel que independientemente de las fuerzas sociales del momento presiente que existe algo más allá que está sin resolver. Denominamos aquí “creador rebelde” a un tipo de personaje reconocible a lo largo de la Historia como aquel capaz de reconocer los cambios que ese operan en su presente y que utiliza para descubrir lo nuevo y acercarse algo al origen creativo. En el momento actual ese tipo de personaje es el que intuye o ya ha intuido hace tiempo la existencia de una complejidad creciente no obviable en el pensamiento de este tiempo. El segundo capítulo desarrolla algunas Propiedades de Sistemas de actuación creativa. En él se muestra una investigación que desarrolla un marco de conocimientos científicos muy específicos de nuestro tiempo que la arquitectura, de momento, no ha absorbido ni refleja de manera directa en su manera de crear. Son temas de presencia casi ya mundana en la sociedad pero que se resisten a ser incluidos en los procesos creativos como parte de la conciencia. La mayoría de ellos hablan de precisión, órdenes invisibles, propiedades de la materia o la energía tratados de manera objetiva y apolítica. La meta final supone el acercamiento e incorporación de estos conceptos y propiedades a nuestro mundo sensible unificándolos indisociablemente bajo un solo punto de vista. El último capítulo versa sobre la Complejidad y su capacidad de reducción a lo esencial. Aquí se muestran, a modo de conclusiones, la introducción de varios conceptos para el desarrollo de un sistema crítico hacia la arquitectura de nuestro tiempo. Entre ellos, el de Complejidad Esencial, definido como aquella de carácter inevitable a la hora de responder la arquitectura a los problemas y solicitaciones crecientes a los que se enfrenta en el presente. La Tesis mantiene la importancia de informar sobre la imposibilidad en el estado actual de las cosas de responder de manera sincera con soluciones de carácter simplista y la necesidad, por tanto, de soluciones necesarias de carácter complejo. En este sentido se define asimismo el concepto de Forma Subyacente como herramienta crítica para poder evaluar la respuesta de cada arquitectura y poder tener un sistema y visión crítica sobre lo que es un objeto consistente frente a la situación a la que se enfrenta. Dicha forma subyacente se define como aquella manera de entender conjuntamente y de manera sincrónica aquello que percibimos de manera sensible inseparable de las fuerzas ocultas, creativas, tecnológicas, materiales y energéticas que sustentan la definición y entendimiento de cualquier objeto construido. ABSTRACT This research includes a cluster of interests around a specific way to generate architecture: The production of objects without an a priori underlying form. The knowledge presented is based on current conditions of thought promoting the illusion to feed the creative source of architecture with other fields of knowledge. The sensible animist knowledge and objective scientific knowledge are correlative in history but have rarely been synchronous. This research is also an attempt to combine both types of knowledge to regain the inertia already sensed in the early twentieth century. It is therefore an essay on the annulment of the opposition between these two worlds to move towards complementarities of both in a single shared vision. The ultimate goal of this research is to present the development of a critical analysis system for architectural objects that allows differentiation between those who respond to the problems sincerely and those who hide under an agreed appearance, the lack of a method for solving the complexity of the creative present. The research observes three distinct groups of knowledge contained in their respective chapters: The first chapter deals with the Creative Impulse. In it is defined the need to create a framework for the creative individual who, regardless of the current social forces, forebodes that there is something hidden beyond which is still unresolved. We define the "rebel creator" as a kind of person existing throughout history who is able to recognize the changes operating in its present and use them to discover something new and get closer to the origin of creation. At present, this type of character is the one who intuits the existence of a non obviable increasing complexity in society and thought. The second chapter presents some systems, and their properties, for creative performance. It describes the development of a framework composed of current scientific knowledge that architecture has not yet absorbed or reflected directly in her procedures. These are issues of common presence in society but are still reluctant to be included in the creative processes even if they already belong to the collective consciousness. Most of them talk about accuracy, invisible orders, properties of matter and energy, always treated from an objective and apolitical perspective. The ultimate goal pursues the approach and incorporation of these concepts and properties to the sensible world, inextricably unifying all under a single point of view. The last chapter deals with complexity and the ability to reduce it to the essentials. Here we show, as a conclusion, the introduction of several concepts to develop a critical approach to analyzing the architecture of our time. Among them, the concept of Essential Complexity, defined as one that inevitably arises when architecture responds to the increasing stresses that faces today. The thesis maintains the importance of reporting, in the present state of things, the impossibility to respond openly with simplistic solutions and, therefore, the need for solutions to complex character. In this sense, the concept of Underlying Form is defined as a critical tool to evaluate the response of each architecture and possess a critical system to clarify what is an consistent object facing a certain situation. The underlying form is then defined as a way to synchronously understand what we perceive sensitively inseparable from the hidden forces of creative, technological, material and energetic character that support the definition and understanding of any constructed object.

Logarithmical hopping encoding: a low computational complexity algorithm for image compression

LHE (logarithmical hopping encoding) is a computationally efficient image compression algorithm that exploits the Weber–Fechner law to encode the error between colour component predictions and the actual value of such components. More concretely, for each pixel, luminance and chrominance predictions are calculated as a function of the surrounding pixels and then the error between the predictions and the actual values are logarithmically quantised. The main advantage of LHE is that although it is capable of achieving a low-bit rate encoding with high quality results in terms of peak signal-to-noise ratio (PSNR) and image quality metrics with full-reference (FSIM) and non-reference (blind/referenceless image spatial quality evaluator), its time complexity is O( n) and its memory complexity is O(1). Furthermore, an enhanced version of the algorithm is proposed, where the output codes provided by the logarithmical quantiser are used in a pre-processing stage to estimate the perceptual relevance of the image blocks. This allows the algorithm to downsample the blocks with low perceptual relevance, thus improving the compression rate. The performance of LHE is especially remarkable when the bit per pixel rate is low, showing much better quality, in terms of PSNR and FSIM, than JPEG and slightly lower quality than JPEG-2000 but being more computationally efficient.