Comparison of Matching Pursuit Algorithm with Other Signal Processing Techniques for Computation of the Time-Frequency Power Spectrum of Brain Signals

Signals recorded from the brain often show rhythmic patterns at different frequencies, which are tightly coupled to the external stimuli as well as the internal state of the subject. In addition, these signals have very transient structures related to spiking or sudden onset of a stimulus, which have durations not exceeding tens of milliseconds. Further, brain signals are highly nonstationary because both behavioral state and external stimuli can change on a short time scale. It is therefore essential to study brain signals using techniques that can represent both rhythmic and transient components of the signal, something not always possible using standard signal processing techniques such as short time fourier transform, multitaper method, wavelet transform, or Hilbert transform. In this review, we describe a multiscale decomposition technique based on an over-complete dictionary called matching pursuit (MP), and show that it is able to capture both a sharp stimulus-onset transient and a sustained gamma rhythm in local field potential recorded from the primary visual cortex. We compare the performance of MP with other techniques and discuss its advantages and limitations. Data and codes for generating all time-frequency power spectra are provided.

IMAGE DENOISING IN MULTIPLICATIVE NOISE

We address the problem of denoising images corrupted by multiplicative noise. The noise is assumed to follow a Gamma distribution. Compared with additive noise distortion, the effect of multiplicative noise on the visual quality of images is quite severe. We consider the mean-square error (MSE) cost function and derive an expression for an unbiased estimate of the MSE. The resulting multiplicative noise unbiased risk estimator is referred to as MURE. The denoising operation is performed in the wavelet domain by considering the image-domain MURE. The parameters of the denoising function (typically, a shrinkage of wavelet coefficients) are optimized for by minimizing MURE. We show that MURE is accurate and close to the oracle MSE. This makes MURE-based image denoising reliable and on par with oracle-MSE-based estimates. Analogous to the other popular risk estimation approaches developed for additive, Poisson, and chi-squared noise degradations, the proposed approach does not assume any prior on the underlying noise-free image. We report denoising results for various noise levels and show that the quality of denoising obtained is on par with the oracle result and better than that obtained using some state-of-the-art denoisers.

Identification of Nonlinear Systems Through Time-Frequency Filtering Technique

In the previous paper, a class of nonlinear system is mapped to a so-called skeleton linear model (SLM) based on the joint time-frequency analysis method. Behavior of the nonlinear system may be indicated quantitatively by the variance of the coefficients of SLM versus its response. Using this model we propose an identification method for nonlinear systems based on nonstationary vibration data in this paper. The key technique in the identification procedure is a time-frequency filtering method by which solution of the SLM is extracted from the response data of the corresponding nonlinear system. Two time-frequency filtering methods are discussed here. One is based on the quadratic time-frequency distribution and its inverse transform, the other is based on the quadratic time-frequency distribution and the wavelet transform. Both numerical examples and an experimental application are given to illustrate the validity of the technique.

钝体尾流的双重小波包分解

根据湍流相干结构和非相干结构不相关的特性，提出了一种钝体尾流双重小波包分解的新算法，将湍流的运动分解成相干分量和非相干分量，该算法以湍流相干分量和非相干分量的相关系数作为迭代的控制指标，减小了过去算法中的随意性，用该算法对大长宽比的钝体尾流三维超声波流速仪测量数据的分析表明：1)钝体间距与宽度之比大于4时，钝体间的相互影响可以忽略不计；2)流线型的钝体尾流紊动强度较小。

Burst event detection in wall turbulence by WVITA method

Wavelet Variable Interval Time Average (WVITA) is introduced as a method incorporating burst event detection in wall turbulence. Wavelet transform is performed to unfold the longitudinal fluctuating velocity time series measured in the near wall region of a turbulent boundary layer using hot-film anemometer. This unfolding is both in time and in space simultaneously. The splitted kinetic of the longitudinal fluctuating velocity time series among different scales is obtained by integrating the square of wavelet coefficient modulus over temporal space. The time scale that related to burst events in wall turbulence passing through the fixed probe is ascertained by maximum criterion of the kinetic energy evolution across scales. Wavelet transformed localized variance of the fluctuating velocity time series at the maximum kinetic scale is put forward instead of localized short time average variance in Variable Interval Time Average (VITA) scheme. The burst event detection result shows that WVITA scheme can avoid erroneous judgement and solve the grouping problem more effectively which is caused by VITA scheme itself and can not be avoided by adjusting the threshold level or changing the short time average interval.

Extended self-similar scaling law of multi-scale eddy structure in wall turbulence

The longitudinal fluctuating velocity of a turbulent boundary layer was measured in a water channel at a moderate Reynolds number. The extended self-similar scaling law of structure function proposed by Benzi was verified. The longitudinal fluctuating velocity, in the turbulent boundary layer was decomposed into many multi-scale eddy structures by wavelet transform. The extended self-similar scaling law of structure function for each scale eddy velocity was investigated. The conclusions are I) The statistical properties of turbulence could be self-similar not only at high Reynolds number, but also at moderate and low Reynolds number, and they could be characterized by the same set of scaling exponents xi (1)(n) = n/3 and xi (2)(n) = n/3 of the fully developed regime. 2) The range of scales where the extended self-similarity valid is much larger than the inertial range and extends far deep into the dissipation range,vith the same set of scaling exponents. 3) The extended selfsimilarity is applicable not only for homogeneous turbulence, but also for shear turbulence such as turbulent boundary layers.

Evaluación, análisis y perspectivas de las principales plantaciones cocoteras (Cocus nuscifera L.) en la Región Autónoma del Atlántico Sur (R.A.A.S.)

La evaluación, análisis y perspectivas de las principales plantaciones cocoteras, (Cocus nuscifera, L.), se inició en 1995 y finalizó en Diciembre de 1996. La evaluación se realizó en las fincas: El Cocal, Tasbapounie, San Mariano y San Nicolás ubicadas en la Región Autónoma del Atlántico Sur (R.A.A.S). La metodología del estudio se basó en entrevistas, sondeos de opinión a técnicos y directores de Instituciones, vinculados al cultivo del cocotero en la región y visitas in situ a las plantaciones cocoteras. En cada finca se evaluó el manejo agronómico, el área y producción cocotera, aspectos socioeconómicos y se determinó la incidencia de cada uno de éstos factores, en la producción de cada una de las fincas estudiadas. El manejo agronómico y tecnología que cada finca aplica, la fertilidad marginal del suelo, el tipo de variedad de cocotero sembrado y la edad de las plantaciones inciden en el rendimiento que cada finca obtiene. La enfermedad del Anillo Rojo es la principal y única enfermedad importante, la cual es causado por el nemátodo Rhadinaphillenchus cocophillus C, que asociado con la principal plaga del cultivo el Picudo negro Rhinchosporum palmarum L, en San Nicolás y San Mariano, ha causando pérdidas anuales globales que superan los US$36,000 dólares. El Amarillamiento Letal del cocotero no está presente en la región. Respecto al año 1981, la totalidad del área del cocotero criollo Alto de Jamaica disminuyó en un 50%, mientras que el área del cocotero híbrido se incrementó en un 38% aproximadamente. La producción global de nueces del cocotero disminuyó un 50% aproximadamente durante el mismo período. La Finca San Nicolás registró el rendimiento más alto para cocotero híbrido y Tasbapounie el más bajo para cocotero criollo Alto de Jamaica. Las pérdidas anuales en términos de rendimiento real y poca comercialización de nueces, es superior a US$1,100,000.00. La diversificación en la modalidad de venta de nuez fresca transformada a copra, generaría en las fincas estudiadas, ingresos totales superiores a US$1,100,000.00 dólares. La falta de financiamiento, poca comercialización de nueces, bajos precios de compra y carestía del transporte son los principales factores socioeconómicos que inciden en el desarrollo del cultivo del cocotero. La finca San Nicolás, por su ubicación geográfica, eficiencia, productividad, experiencia y manejo del cultivo, es la de mayor perspectiva de inversión agro-industrial en la R.A.A.S.

Time-Frequency Analysis of Nonlinear Systems: The Skeleton Linear Model and the Skeleton Curves

The joint time-frequency analysis method is adopted to study the nonlinear behavior varying with the instantaneous response for a class of S.D.O.F nonlinear system. A time-frequency masking operator, together with the conception of effective time-frequency region of the asymptotic signal are defined here. Based on these mathematical foundations, a so-called skeleton linear model (SLM) is constructed which has similar nonlinear characteristics with the nonlinear system. Two skeleton curves are deduced which can indicate the stiffness and damping in the nonlinear system. The relationship between the SLM and the nonlinear system, both parameters and solutions, is clarified. Based on this work a new identification technique of nonlinear systems using the nonstationary vibration data will be proposed through time-frequency filtering technique and wavelet transform in the following paper.

Aplicación de parámetros matemáticos en un trabajo multidisciplinario de composición musical asistida por computadora sobre una temática folklórica

Resumen: En el marco de un proyecto de la Vicerrectoría de Investigaciones de la Universidad de Caldas denominado “Resignificación músico-pictórica del mito de la Salamanca” surgió la conveniencia de aplicar y diseñar programas de fundamentación matemática que permitieran definir la estructura y el tratamiento acústico de la obra especialmente escrita para este proyecto. Principalmente nos basamos en la implementación de la Transformada Rápida de Fourier (Fast Fourier Transform) para el análisis de espectros armónicos y su modificación en vivo y en la utilización de un entorno de programación para procesamiento de sonido en tiempo real. El marco general de la investigación parte del enfoque de Regionalismo Crítico procedente de las propuestas de Kenneth Frampton referentes originalmente a la crítica de la arquitectura. El planteamiento como investigación mutidisciplinaria implica (1) una visión crítica de la substancia mítica y social subyacente, (2) una resignificación pictórica por medio de fotografía, animación y pintura, basada en la sustancia visual que contiene el mito, (3) un enfoque musical electroacústico, a partir del material que surge del folklor local, utilizando la intervención de instrumentos en vivo y procesamiento en tiempo real.

O papel do Legislativo na formulação da Política de Segurança Pública : o caso do Pronasci

Analisa o efetivo papel do Poder Legislativo no processo político de formulação e discussão de política pública de segurança, o caso do Programa Nacional de Segurança Pública com Cidadania - PRONASCI, instituído pela Medida Provisória 384, de 20 de agosto de 2007, transformada na Lei 11.530 de 24 de outubro de 2007. A análise se dá a partir do entendimento teórico de políticas públicas, do papel do legislativo e de outros atores no processo de formulação de políticas, bem como da tramitação da matéria na Câmara dos Deputados e no Senado Federal.

基于MATLAB小波分析的软地基加固探地雷达检测处理方法

从小波分解出发，利用多尺度分解对控地雷达波进行分析，并基于MATLAB的小波分析对深圳市公安局某工地强夯土石墩地基的检测结果进行处理，提出了具体的处理方法。

Microencapsulación de Biocidas

Los productos biocidas presentan una serie de limitaciones para su uso como son: -Perfil toxicológico que limita su utilización en todos lo ámbitos. -Solubilidad que imposibilita o dificulta la utilización del agua como vehículo de elección. -Estado físico que en algunos casos complica la manipulación del biocida por el operador. -Condiciones de almacenamiento que precisan protección frente a la luz y a la temperatura. En esta memoria se plantea como solución a esta problemática, la formación de microencapsulados (complejos de inclusión) de biocidas de tres familias diferentes (nicotinoides, piretroides y carbamatos) y del sinergista butóxido de piperonilo, con ciclodextrinas (oligosacáridos cíclicos). El objetivo de esta investigación es desarrollar las herramientas adecuadas que permitan obtener un producto medioambientalmente compatible, que sirva de base para la obtención de formulaciones eficaces aplicables al control de plagas de insectos voladores, concretamente enfocado a la mosca doméstica (Musca doméstica), tanto en el interior como en el exterior de entornos urbanos y ganaderos. Una vez obtenido el microencapsulado se lleva a cabo su caracterización mediante diversas técnicas analíticas instrumentales: -Electroforesis capilar de zona (ECZ). -Estudios de solubilidad de fase mediante espectroscopía uv-vis. -Estudios calorimétricos (DSC, TG y DTA). -Resonancia Magnética Nuclear (RMN-H1 y RMN-C13). -Análisis Elemental (AE). -Microscopía Electrónica de Barrido (SEM). -Espectroscopía Infrarroja con Transformada de Fourier (FT-IR).

小波变换方法评价曲线的分形特征

应用小波变换对Kiesswetter工线和3种方法生成的分数维布朗运动（FBm）进行了分析，验证了该方法计算分形维数具有较高的精度。在宽广的分形维数范围内，与其他7种计算方法比较表明，小波变换方法的精确性和一致性都最好。小波变换为进一步分辨确定性信号、分形特征的信号或完全随机性的信号提供了一种有效工具，为评价精糙表面形貌的分形特征提供了前提条件。

Biologically-inspired data decorrelation for hyper-spectral imaging

Hyper-spectral data allows the construction of more robust statistical models to sample the material properties than the standard tri-chromatic color representation. However, because of the large dimensionality and complexity of the hyper-spectral data, the extraction of robust features (image descriptors) is not a trivial issue. Thus, to facilitate efficient feature extraction, decorrelation techniques are commonly applied to reduce the dimensionality of the hyper-spectral data with the aim of generating compact and highly discriminative image descriptors. Current methodologies for data decorrelation such as principal component analysis (PCA), linear discriminant analysis (LDA), wavelet decomposition (WD), or band selection methods require complex and subjective training procedures and in addition the compressed spectral information is not directly related to the physical (spectral) characteristics associated with the analyzed materials. The major objective of this article is to introduce and evaluate a new data decorrelation methodology using an approach that closely emulates the human vision. The proposed data decorrelation scheme has been employed to optimally minimize the amount of redundant information contained in the highly correlated hyper-spectral bands and has been comprehensively evaluated in the context of non-ferrous material classification