Quantifying near fault pulses using generalized Morse wavelets

Whitney, Reeves

doi:10.1007/s10950-019-09858-7

Cited by 16 publications

(8 citation statements)

References 19 publications

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“…To preserve the frequency characteristics of the sound signal, the Morse wavelet [ 18 , 19 ] with better time-frequency resolution is chosen, which is a fully resolved wavelet and does not have negative frequency leakage. The coefficients obtained by Morse wavelet analysis are plotted as images using the pcolor function in MATLAB to obtain their coefficient maps, adjusting the image size to 224 × 224 × 3 to be able to meet the small and large requirements of GoogLeNet for the input image.…”

Section: Continuous Wavelet Transformmentioning

confidence: 99%

Sound Recognition Method of Coal Mine Gas and Coal Dust Explosion Based on GoogLeNet

2023

Entropy

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To solve the problems of backward means of coal mine gas and coal dust explosion monitoring, late reporting, and low leakage rate, a sound recognition method of coal mine gas and coal dust explosion based on GoogLeNet was proposed. After installing mining pickups in key monitoring areas of coal mines to collect the sounds of the working equipment and the environment, the collected sound was analyzed by continuous wavelet to obtain its scale coefficient map. This was then imported into GoogLeNet to obtain the recognition model of coal mine gas and coal dust explosions. The test sound was obtained by continuous wavelet analysis to obtain the scale coefficient map, brought into the completed training recognition model to obtain the sound signal class, and verified by experiment. Firstly, the scale coefficient map extracted from the sound signal by continuous wavelet analysis showed that the similarity between the subjective and objective indicators of the wavelet coefficient maps of the gas explosion sound and coal dust explosion sound was higher, but the difference between these and the rest of the coal mine sounds was clearer, helping to effectively distinguish gas and coal dust explosion sounds from other sounds. Secondly, the experimental results of GoogLeNet parameters can be obtained. When the dropout parameter is 0.5 and the initial learning rate is 0.001, the recognition effect of the model established by GoogLeNet was optimal. According to the selected parameters, the training loss, testing loss, training recognition rate, and testing recognition rate of the model are all in line with expectations. Finally, the experimental recognition results show that the recognition rate of the proposed method is 97.38%, the recall rate is 86.1%, and the accuracy rate is 100% for the case of a 9:1 ratio of test data to training data, and the overall recognition effect of the proposed GoogLeNet is significantly better than that of vgg and Alexnet, which can effectively solve the problem of under-sampling of coal mine gas and coal dust explosion sounds and can meet the need for the intelligent recognition of coal mine gas and dust explosions.

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Section: Continuous Wavelet Transformmentioning

confidence: 99%

Sound Recognition Method of Coal Mine Gas and Coal Dust Explosion Based on GoogLeNet

2023

Entropy

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“…Witney et al [81] examined GMWs to determine their capacity to derive ground motion pulses from a collection of acceleration samples. Different sets of values P and γ were tested.…”

Section: Geophysicsmentioning

confidence: 99%

Applications of the Generalized Morse Wavelets: A Review

et al. 2023

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The study of signals, processes, and systems has motivated the development of different representations that can be used to analyze and understand them. Classical ways of studying the behavior of signals are the time domain and frequency domain representations. For the analysis of non-stationary signals, time-frequency representations have become an essential tool to understand how the frequency content of signals changes with time. A common time-frequency technique employed in the literature is the wavelet transform. Nevertheless, selecting an adequate mother wavelet to perform the wavelet transform has become challenging due to the diverse available wavelet families. This paper reviews the applications and uses of a particular class of wavelet basis known as the Generalized Morse Wavelets. This class of wavelet family provides a systematic framework to choose and generate a wavelet for general-purpose use. This study reviews the application of Generalized Morse Wavelets in biomedical engineering, dynamical systems analysis, electrical engineering, geophysics, and communication systems. Moreover, the parameters of the Generalized Morse Wavelets used in each study are presented. The results of this study reveal that Generalized Morse Wavelets have proven helpful in studying signals, systems, and processes in areas ranging from biomedical engineering to geophysics. Nonetheless, the parameters of the Generalized Morse Wavelets are yet to be chosen through a rigorous methodology and argumentation. Therefore, there is an opportunity to generate methods for selecting the parameters of the Generalized Morse Wavelets based on the characteristics of the signals, systems, or processes under research.INDEX TERMS Generalized Morse wavelets, mother wavelet selection, continuous wavelet transform, applications, time-frequency analysis.

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“…During that time, the term wavelets was habitually used in different areas such as geophysics [43] or electrical engineering; however, modern wavelet theory [44] appeared toward the middle of the 1980s from the close collaboration between Grossman and Morlet [45], who coined the concept ondelette (wavelets denomination in French, see, e.g., Morlet et al [46] and Morlet [47]) to design a new theoretical-empirical framework in which the principles of geophysics in conjunction with mathematics could be extrapolated to other scientific fields [44]. This mutual cooperation would mark the beginning of a fertile relationship between mathematics and various disciplines of knowledge such as agriculture [48,49], astronomy [50], biology [51][52][53], electromagnetism [54,55], forestry [56,57], genetics [15], geophysics [46,58,59], hydrology [60,61], meteorology [62][63][64][65][66], oceanography [63], and seismology [43,67].…”

Section: Wavelets Literaturementioning

confidence: 99%

“…Similarly, its results do not always or necessarily have to be robust [77]. Therefore, current lines of research [20,67,81] have focused on the further development and empirical implementation of the generalized Morse wavelets (GMWs), a family of wavelets that can be characterized based on two parameters and that overcome the main restrictions of Morse wavelets. In addition, they allow efficiently subsuming other kinds of wavelets such as Cauchi, Kauder, or derivative of Gaussian (DOG) [77].…”

Section: Wavelets Literaturementioning

confidence: 99%

Testing the Resilience of CSR Stocks during the COVID-19 Crisis: A Transcontinental Analysis

Martínez

Cervantes

2021

Mathematics

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Investors and practitioners are increasingly concerned with financial assets within the scope of corporate social responsibility (CSR) meaning that, in recent times, such assets have become enshrined in the preferences of the new generations of investors and consumers. Just when the interest of investors was at its highest, SARS-CoV-2 (COVID-19) affected all international financial markets, so that, at first sight, it might seem that the financial assets assigned to CSR should have suffered collapses that were identical to the rest; however, our work shows the opposite, providing a comparative analysis of how the pandemic has affected the financial markets of each continent to demonstrate its outstanding resilience through the use of the Wavelets methodology. We analyzed the global impact of the registered cases of COVID-19 on the Dow Jones Sustainability World Index (DJSWI), the world’s leading indicator of sustainable companies, in addition to six other financial indices selected from each continent. The empirical results of this research show that the worldwide repercussions of the sudden outbreak of SARS-CoV-2 has had a substantially smaller effect on sustainability-related indices compared to the other considered indices. Similarly, the methodology employed allowed the establishment of a chronogram with details of the dating of COVID-19 expansion through the considered countries, a certain gradation in terms of the impact of the pandemic on these stock indices, and certain common guidelines describing their devastating effects on each of the financial markets represented by the indices in this research.

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Quantifying near fault pulses using generalized Morse wavelets

Cited by 16 publications

References 19 publications

Sound Recognition Method of Coal Mine Gas and Coal Dust Explosion Based on GoogLeNet

Sound Recognition Method of Coal Mine Gas and Coal Dust Explosion Based on GoogLeNet

Applications of the Generalized Morse Wavelets: A Review

Testing the Resilience of CSR Stocks during the COVID-19 Crisis: A Transcontinental Analysis

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