Biosignals are nowadays important subjects for scientific researches from both theory, and applications, especially, with the appearance of new pandemics threatening the humanity such as the new coronavirus. One aim i...
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Biosignals are nowadays important subjects for scientific researches from both theory, and applications, especially, with the appearance of new pandemics threatening the humanity such as the new coronavirus. One aim in the present work is to prove that wavelets may be a successful machinery to understand such phenomena by applying a step forward extension of wavelets to multi-wavelets. We proposed in a first step to improve multi-wavelet notion by constructing more general families using independent components for multi-scaling and multi-wavelet mother functions. A special multi-wavelet is then introduced, continuous, and discrete multi-wavelet transforms are associated, as well as new filters, and algorithms of decomposition, and reconstruction. Applied breakthroughs of the paper may be summarized in three aims. In a first direction, an approximation (reconstruction) of a classical (stationary, periodic) example dealing with Fourier modes has been conducted in order to confirm the efficiency of the HSch multi-wavelets in approximating such signals and in providing fast algorithms. The second experimentation is concerned with the decomposition and reconstruction application of the HSch multi-wavelet on an ECG signal. The last experimentation is concerned with a de-noising application on a strain of coronavirus signal permitting to localize approximately the transmembrane segments of such a series as neighborhoods of the local maxima of an numerized version of the strain. Accuracy of the method has been evaluated by means of error estimates and statistical tests.
A water wave glint correction algorithm, light attenuation depths and water depths estimated from satellite imagery in the Indian River Lagoon and Banana River estuarine waters provide a means to evaluate light penetr...
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ISBN:
(数字)9781510630048
ISBN:
(纸本)9781510630031;9781510630048
A water wave glint correction algorithm, light attenuation depths and water depths estimated from satellite imagery in the Indian River Lagoon and Banana River estuarine waters provide a means to evaluate light penetration or water clarity. The shallow water estuarine study area is along Florida's east coast area known as"space coast" Florida. In-situ data, including water depths obtained from bathymetric charts, in-situ hyperspectral attenuation signatures and satellite-based reflectance factors are obtained from atmospherically corrected visible and near infra-red channels of World View-3 satellite imagery. The high spatial, radiometric and 11bit digital resolution satellite imagery is used to study water visibility that is an important ecosystem quality indicator. In shallow coastal waters as well as deeper water areas and nearby coastal waterways, the effects of water surface gravity wave facets and sun glint influence the estimates of water quality related variables estimated at the pixel level. The results have significant implications related to the estimation of the depth of penetration of light using satellite-based methods in coastal waters. Application of atmospherically corrected satellite imagery followed by glint removal is shown using translating and dilating derivative wavelet algorithms to estimate the attenuation depth of light in water. The research has been conducted in order that results may be transferable to other estuaries that suffer from reduction in light penetration due to factors such as turbidity or harmful algal blooms.
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