Academic literature on the topic 'Electrical and Computer Engineering. Signal processing. Wavelets (Mathematics)'

PurposeThe purpose of this paper is to inspect strategic placing of different signal processing techniques like wavelet transform (WT), discrete Hilbert transform (DHT) and fast Fourier transform (FFT) to acquire the qualitative detection of rotor fault in a variable frequency drive-fed induction motor under challenging low slip conditions.Design/methodology/approachThe algorithm is developed using Q2.14 bit format of Xilinx System Generator (XSG)-DSP design tool in MATLAB. The developed algorithm in XSG-MATLAB can be implemented easily in field programmable gate array, as a provision to generate the necessary VHDL code is available by its graphical user interface.FindingsThe applicability of WT is ensured by the effective procedure of base wavelet selection, which is the novelty of the work. It is found that low-order Daubechies (db) wavelets show decent shape matching with current envelope rather than raw current signal. This fact allows to use db1-based discrete wavelet transform-inverse discrete wavelet transform, where economic and multiplier-less design is possible. Prominent identity of 2sfscomponent is found even at low FFT points due to the application of suitable base wavelet.Originality/valueThe proposed method is found to be effective and hardware-friendly, which can be used to design a low-cost diagnostic instrument for industrial applications.

A Brain Computer Interface (BCI) is the one which converts the activity of the brain signals into useful and understandable signal. Brain computer interface is also called as Neural-Control Interface (NCI), Direct Neural Interface (DCI) or Brain Interface Machine (BMI). Electroencephalogram (EEG) based brain computer interfaces (BCI) is the technique used to measure the activity of the brain. Electroencephalography (EEG) is a brain wave monitoring and diagnosis. It is the measurement of electrical activity of the brain from the scalp. Taste sensations are important for our body to digest food. Identification of disease symptoms is based on the inhibition of different types of taste and by testing them to find the normality and abnormality of taste. The information is used in detection of disorder such as Parkinson’s disease etc. It is a source of reimbursement for better clinical diagnosis. Our brain continuously produces electrical signals when it operates. Those signals are measured with the equipment called Neurosky Mindwave Mobile headset. It is used to collect the real time brain signal samples. Neurosky is the equipment used in proposed work. Here the pre-processing technique is executed with median filtering. Feature extraction and classification is done with Discrete Wavelet Transform (DWT) and Support Vector Machine (SVM). It increases the performance accuracy. The SVM classification accuracy achieved by this work is 90%. The sensitivity achieved is higher and the specificity is about 80%. We can able to predict the taste disorders using this methodology.

The concept is designed to improve upon the recent developed system, utilizing auditory steady state response (ASSR) as a basis for the Brain Computer Interface (BCI) paradigm. It utilizes the classification of signals through a discrete wavelet transform (DWT) before the actual transmission to reduce overhead at the processing system. The electroencephalogram (EEG) obtained from the subject is through a p300 based EEG receivers. A compression algorithm is used to reduce the bandwidth usage and provide a quicker transmission of the large and continuous EEG. An Arduino board along with a proximity sensor is used to detect the presence and distance of the subject and consequently control playback of a single frequency audio signal, which as received by the user, is used for producing the EEG signals. A continuous focus of the user is required on the playback of the single frequency sound to produce a sizeable reading. At the receiving end, another Arduino board is installed with an SD card module, which contains the commands, responsible for the actual control of the devices. The concept can be utilized for various purposes from controlling IoT based systems to wheelchairs and hospital beds as well as bionic limbs, which however are limited due to the overall bulk of all the equipment currently required. The main aim of this paper is to propose an improvement in the transmission, reduction the latency of the signals and to provide a concept for utilization by the handicapped or physically impaired patients. Since the EEG is obtained through the inner ear of the subject, it completely eliminates any need for invasive surgery and provides a simplified solution. Developments have shown to be able to achieve over 95% of accuracy in the domain, currently limited by length of the EEG required in order to process the actual commands from the subject’s brain.

CAPES
Pesquisadores têm concentrado esforços, nos últimos 20 anos, aplicando a transformada wavelet no processamento, filtragem, reconhecimento de padrões e na classificação de sinais biomédicos, especificamente em sinais de eletroencefalografia (EEG) contendo eventos característicos da epilepsia, as espículas. Várias famílias de wavelets-mães foram utilizadas, mas sem um consenso sobre qual wavelet-mãe é a mais adequada para essa finalidade. Os sinais utilizados apresentam uma gama muito grande de eventos e não possuem características padronizadas. A literatura relata sinais de EEG amostrados entre 100 a 600 Hz, com espículas variando de 20 a 200 ms. Nesse estudo foram utilizadas 98 wavelets. Os sinais de EEG foram amostrados de 200 a 1 kHz. Um neurologista marcou um conjunto de 494 espículas e um conjunto de 1500 eventos não-espícula. Esse estudo inicia avaliando a quantidade de decomposições wavelets necessárias para a detecção de espículas, seguido pela análise detalhada do uso combinado de wavelets-mães de uma mesma família e entre famílias. Na sequência é analisada a influência de descritores e o uso combinado na detecção de espículas. A análise dos resultados desses estudos indica que é mais adequado utilizar um conjunto de wavelets-mães, com vários níveis de decomposição e com vários descritores, ao invés de utilizar uma única wavelet-mãe ou um descritor específico para a detecção de espículas. A seleção desse conjunto de wavelets, de níveis de decomposição e de descritores permite obter níveis de detecção elevados conforme a carga computacional que se deseje ou a plataforma computacional disponível para a implementação. Como resultado, esse estudo atingiu níveis de desempenho entre 0,9936 a 0,9999, dependendo da carga computacional. Outras contribuições desse estudo referem-se à análise dos métodos de extensão de borda na detecção de espículas; e a análise da taxa de amostragem de sinais de EEG no desempenho do classificador de espículas, ambos com resultados significativos. São também apresentadas como contribuições: uma nova arquitetura de detecção de espículas, fazendo uso da análise de discriminante linear; e a apresentação de um novo descritor, energia centrada, baseado na resposta dos coeficientes das sub-bandas de decomposição da transformada wavelet, capaz de melhorar a discriminação de eventos espícula e não-espícula.
Researchers have concentrated efforts in the past 20 years, by applying the wavelet transform in processing, filtering, pattern recognition and classification of biomedical signals, in particular signals of electroencephalogram (EEG) containing events characteristic of epilepsy, the spike. Several families of mother-wavelets were used, but there are no consensus about which mother-wavelet is the most adequate for this purpose. The signals used have a wide range of events. The literature reports EEG signals sampled from 100 to 600 Hz with spikes ranging from 20 to 200 ms. In this study we used 98 wavelets. The EEG signals were sampled from 200 Hz up to 1 kHz. A neurologist has scored a set of 494 spikes and a set 1500 non-spike events. This study starts evaluating the amount of wavelet decompositions required for the detection of spikes, followed by detailed analysis of the combined use of mother-wavelets of the same family and among families. Following is analyzed the influence of descriptors and the combined use of them in spike detection. The results of these studies indicate that it is more appropriate to use a set of mother-wavelets, with many levels of decomposition and with various descriptors, instead of using a single mother-wavelet or a specific descriptor for the detection of spikes. The selection of this set of wavelets, decomposition level and descriptors allows to obtain high levels of detection according to the computational load desired or computing platform available for implementation. This study reached performance levels between 0.9936 to 0.9999, depending on the computational load. Other contributions of this study refer to the analysis of the border extension methods for spike detection; and the influences of the EEG signal sampling rate in the classifier performance, each one with significant results. Also shown are: a new spike detection architecture by making use of linear discriminant analysis; and the presentation of a new descriptor, the centred energy, based on the response of the coefficients of decomposition levels of the wavelet transform, able to improve the discrimination of spike and non-spike events.

In the field of Nuclear Medicine, positron emission tomography (PET) plays an important role as one of the most common diagnostic tools in the area of medical imaging. However, various physical degradation factors occur when the data is recorded, which leads to a low signal-to-noise ratio. This makes the quality of the PET images less than optimal. The proposed method for solving this problem is to use a machine learning approach to find a sparse representation of the sinograms. Where a suitable sparse representation should retain as much of the signal and as little of the noise as possible. To accomplish this a sparse autoencoder was trained on wavelet decompositions of sinograms simulated from medical images in order to learn underlying structures. Three different wavelet families were tested, Daubechies 4, biorthogonal 4.4, and Haar. The trained model was able to find sparse representations of the input sinograms in the wavelet domain. Although the sparse autoencoder managed to learn the basic structures of the sinograms, it struggled with the more complex details. Compared to a conventional denoising method using hard thresholding the sparse autoencoder did not manage to produce as good of a result in terms of the reconstructed PET image quality.

Our modern society has transformed to an information-demanding system, seeking voice, video, and data in quantities that could not be imagined even a decade ago. The mobility of communicators has added more challenges. One of the new challenges is to conceive highly reliable and fast communication system unaffected by the problems caused in the multipath fading wireless channels. Our quest is to remove one of the obstacles in the way of achieving ultimately fast and reliable wireless digital communication, namely Inter-Symbol Interference (ISI), the intensity of which makes the channel noise inconsequential. The theoretical background for wireless channels modeling and adaptive signal processing are covered in first two chapters of dissertation. The approach of this thesis is not based on one methodology but several algorithms and configurations that are proposed and examined to fight the ISI problem. There are two main categories of channel equalization techniques, supervised (training) and blind unsupervised (blind) modes. We have studied the application of a new and specially modified neural network requiring very short training period for the proper channel equalization in supervised mode. The promising performance in the graphs for this network is presented in chapter 4. For blind modes two distinctive methodologies are presented and studied. Chapter 3 covers the concept of multiple "cooperative" algorithms for the cases of two and three cooperative algorithms. The "select absolutely larger equalized signal" and "majority vote" methods have been used in 2-and 3-algoirithm systems respectively. Many of the demonstrated results are encouraging for further research. Chapter 5 involves the application of general concept of simulated annealing in blind mode equalization. A limited strategy of constant annealing noise is experimented for testing the simple algorithms used in multiple systems. Convergence to local stationary points of the cost function in parameter space is clearly demonstrated and that justifies the use of additional noise. The capability of the adding the random noise to release the algorithm from the local traps is established in several cases.

CNPq
Introdução: As pessoas com lesão medular (LM) podem ter seus músculos paralisados ativados por meio da estimulação elétrica funcional (FES) sobre vias neurais presentes próximas à pele. Estas estimulações elétricas são importantes para a recuperação do trofismo neuromuscular ou durante o controle de movimento por próteses neurais. No entanto, ao longo da aplicação da FES, a fadiga ocorre, diminuindo a eficiência da contração, principalmente devido à hipotrofia neuromuscular presente nessa população. A aquisição da vibração das fibras musculares como indicador de fadiga é registrada por meio da técnica de mecanomiografia (MMG), que não sofre interferências elétricas decorrentes da aplicação da FES. Objetivo: Caracterizar a vibração do músculo reto femoral durante protocolo de fadiga neuromuscular eletricamente evocada em pessoas com lesão medular completa. Método: 24 membros (direito e esquerdo) de 15 participantes (idade: 27±5 anos) do sexo masculino (A e B na American Spinal Injury Impairment Scale) foram selecionados. Um estimulador elétrico operando como fonte de tensão, desenvolvido especialmente para pesquisa, foi configurado com: freqüência de pulso em 1 kHz (20% de ciclo de trabalho) e trem de pulsos (modulação) em 70 Hz (20% período ativo). O sinal triaxial [X (transversal), Y (longitudinal) e Z (perpendicular)] da MMG foi processado com filtro Butterworth de terceira ordem e banda passante entre 5 e 50 Hz. Previamente ao protocolo, a tensão de saída do estimulador foi incrementada (~3 V/s evitando-se a adaptação/habituação dos motoneurônios) até alcançar a extensão máxima eletricamente estimulada (EMEE) da articulação do joelho. Uma célula de carga foi usada para registrar a resposta de força, onde após a sua colocação, a intensidade da FES necessária para alcançar a EMEE foi aplicada e registrada pela célula de carga como 100% da força (F100%). Durante o protocolo de fadiga neuromuscular, a intensidade do estímulo foi incrementada durante o controle para manter a força em F100%. Quatro instantes (I - IV) foram selecionados entre F100% e a incapacidade da FES manter a resposta de força acima de 30% (F30%). O sinal foi processado nos domínios temporal (energia), espectral (frequência mediana) e wavelet (temporal-espectral com doze bandas de frequência entre 5 e 53 Hz). Os dados extraídos foram normalizados pelo instante inicial (I) gerando unidades arbitrárias (u.a.), e testados com estatística não paramétrica. Resultados: A frequência mediana não apresentou significância estatística. Em relação aos eixos de deslocamento da MMG, o eixo transversal mostrou o maior número de resultados estatisticamente significantivos. A energia da vibração das fibras musculares (domínio temporal) indicou diminuição entre os instantes I (músculo fresco) e II (pré-fadiga), como também entre os instantes I e IV (fadigado) com redução significativa. O domínio wavelet teve como foco o eixo transversal, especialmente as bandas de frequência de 13, 16, 20, 25 e 35 Hz, por terem indicado redução significativa durante a fadiga neuromuscular; principalmente, a banda de 25 Hz, que indicou redução significativa entre o instante I (valor da mediana dos dados de 0,53 u.a.) e os demais instantes [II (0,30 u.a), III (0,28 u.a.) e IV (0,24 u.a.)]. Conclusão: A fadiga neuromuscular é caracterizada pela redução da energia do sinal no eixo de deslocamento transversal (X) da vibração do músculo reto femoral, em pessoas com lesão medular completa, tanto no domínio temporal quanto principalmente no domínio wavelet, sendo a banda de frequência de 25 Hz a mais relevante, porque sua energia diminui com a ocorrência da fadiga neuromuscular. Estes achados abrem a possibilidade de aplicação em sistemas de malha fechada durante procedimentos de reabilitação física utilizando FES ou no controle de próteses neurais.
Introduction: People with spinal cord injury (SCI) may have the paralyzed muscles activated through functional electrical stimulation (FES) on neural pathways present below the skin. These electrical stimulations are important to restore the neuromuscular trophism or during the movement control using neural prostheses. However, prolonged FES application causes fatigue, which decreases the contraction strength, mainly due the neuromuscular hypotrophy in this population. The acquisition of myofibers’ vibration is recognized by mechanomyography (MMG) system and does not suffer electrical interference from the FES system. Objective: To characterize the rectus femoris muscle vibration during electrically evoked neuromuscular fatigue protocol in complete spinal cord injury subjects. Methods: As sample, 24 limbs (right and left) from 15 male participants (age: 27±5 y.o.) and ranked as A and B according to American Spinal Injury Impairment Scale) were selected. An electrical stimulator operating as voltage source, specially developed for research, was configured as: pulse frequency set to 1 kHz (20% duty cycle) and burst (modulating) frequency set to 70 Hz (20% active period). The triaxial [X (transverse), Y (longitudinal) and Z (perpendicular)] MMG signal of rectus femoris muscle was processed with a third-order 5-50 Hz bandpass Butterworth filter. A load cell was used to register the force. The stimulator output voltage was increased (~3 V/s to avoid motoneuron adaptation/habituation) until the maximal electrically-evoked extension (MEEE) of the knee joint. After the load cell placement, the stimuli magnitude required to reach MEEE was applied and registered by the load cell as muscular F100% response. Stimuli intensity was increased during the control to keep the force in F100%. Four instants (I - IV) were selected from F100% up to the inability to keep the FES response force above 30% (F30%). The signal was processed in temporal (energy), spectral (median frequency) and wavelet (temporal-spectral with twelve band frequencies between 5 and 53 Hz) domains. All data were normalized by initial instant, creating arbitrary units (a.u.), and non-parametric tests were applied. Results: The median frequency did not show statistical significance. Regarding the MMG axes, the transverse axis showed most statistical differences. The MMG energy (temporal domain) indicates the decrease between the instants I (unfatigued) and II (pre-fatigue), as well as instants I and IV (fatigued). The wavelet domain focused on the transverse axis, especially on 13, 16, 20, 25 and 35 Hz frequency bands, for having shown significant reduction proven during neuromuscular fatigue. In focus on 25 Hz band frequency that showed a constant decrease between instants I (median value from data de 0.53 a.u.) with subsequent instants [II (0.30 a.u.), III (0.28 a.u.) and IV (0.24 a.u.). Conclusion: Neuromuscular fatigue is characterized by energy decrease in MMG X-axis (transverse) signal of vibration on the rectus femoris muscle for complete spinal cord injured subjects, in the temporal domain but mainly in the wavelet domain. The 25 Hz is the most important band frequency because its energy decreases with neuromuscular fatigue. These findings open the possibility of application in closed-loop systems during physical rehabilitation procedures using FES or in the control of neural prostheses.

Indiana University-Purdue University Indianapolis (IUPUI)
Multiresolution image fusion is an emerging area of research for use in military and commercial applications. While many methods for image fusion have been developed, improvements can still be made. In many cases, image fusion methods are tailored to specific applications and are limited as a result. In order to make improvements to general image fusion, novel methods have been developed based on the wavelet transform and empirical variance. One particular novelty is the use of directional filtering in conjunction with wavelet transforms. Instead of treating the vertical, horizontal, and diagonal sub-bands of a wavelet transform the same, each sub-band is handled independently by applying custom filter windows. Results of the new methods exhibit better performance across a wide range of images highlighting different situations.