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    ์„ ํ˜• ์‹œ๊ฐ„-์ฃผํŒŒ์ˆ˜ ํ‘œํ˜„์—์„œ ๋ชจํ„ฐ์™€ ๊ธฐ์–ด๋ฐ•์Šค์˜ ๊ณ ์žฅ ํŠน์„ฑ ๊ฐ์ง€๋ฅผ ์œ„ํ•œ ๊ฐ€์ค‘ ์ž”์ฐจ ๋ ˆ๋‹ˆ ์ •๋ณด์— ๊ด€ํ•œ ์—ฐ๊ตฌ

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    ํ•™์œ„๋…ผ๋ฌธ (์„์‚ฌ) -- ์„œ์šธ๋Œ€ํ•™๊ต ๋Œ€ํ•™์› : ๊ณต๊ณผ๋Œ€ํ•™ ๊ธฐ๊ณ„๊ณตํ•™๋ถ€, 2020. 8. ์œค๋ณ‘๋™.Many studies have been conducted for fault detection of rotating machinery under varying speed conditions using time-frequency representation (TFR). However, the parameters of TFR have been selected by researchers empirically in most previous studies. Also, the previously proposed TFR measures do not suggest the optimal parameter for fault diagnosis. This paper thus proposed a TFR measure to select the parameter from the perspective of detecting fault features. The proposed measure, Weighted Residual Rรฉnyi Information (WRRI), is based on Rรฉnyi Information, selected through a comparative study among previously suggested measures. WRRI, defined as a modified form of the input atom of Rรฉnyi Information, consists of two terms. The first term is the residual term that extracts the fault feature, and the second term is the weighting term that reduces the effect of noise. The validation process consists of the two steps; 1) analytic signal, 2) motor, and gearbox signal. In the validation using an analytic signal, it confirmed that WRRI suggested a better parameter for detecting fault features than the Rรฉnyi Information. Also, in the validation using a motor testbed signal and gearbox testbed signal, it confirmed that WRRI was possible to select more suitable parameters for fault diagnosis than the Rรฉnyi Information.๋ณ€์† ์กฐ๊ฑด์—์„œ ์šด์ „๋˜๋Š” ํšŒ์ „๊ธฐ๊ธฐ ๊ณ ์žฅ์ง„๋‹จ์„ ์œ„ํ•ด ์‹œ๊ฐ„-์ฃผํŒŒ์ˆ˜ ํ‘œํ˜„์„ ์‚ฌ์šฉํ•œ ๋งŽ์€ ์—ฐ๊ตฌ๋“ค์ด ์ˆ˜ํ–‰๋˜์–ด์™”๋‹ค. ํ•˜์ง€๋งŒ ๋Œ€๋ถ€๋ถ„์˜ ์—ฐ๊ตฌ์—์„œ ์‹œ๊ฐ„-์ฃผํŒŒ์ˆ˜ ํ‘œํ˜„์˜ ํŒŒ๋ผ๋ฏธํ„ฐ๋Š” ์—ฐ๊ตฌ์ž๋“ค์— ์˜ํ•ด ๊ฒฝํ—˜์ ์œผ๋กœ ์„ ํƒ๋˜์—ˆ๋‹ค. ๋˜ํ•œ ์ด์ „์— ์ œ์•ˆ๋œ ์‹œ๊ฐ„-์ฃผํŒŒ์ˆ˜ ํ‘œํ˜„ ์ธก์ •๋ฐฉ๋ฒ•๋„ ๊ณ ์žฅ ์ง„๋‹จ์„ ์œ„ํ•œ ์ตœ์ ์˜ ํŒŒ๋ผ๋ฏธํ„ฐ๋ฅผ ์ œ์•ˆํ•ด์ฃผ์ง€ ๋ชปํ•œ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ๊ณ ์žฅ ํŠน์ง• ๊ฒ€์ถœ์„ ๋ชฉ์ ์œผ๋กœ ์‹œ๊ฐ„-์ฃผํŒŒ์ˆ˜ ํ‘œํ˜„์˜ ํŒŒ๋ผ๋ฏธํ„ฐ๋ฅผ ์ œ์•ˆํ•ด์ฃผ๋Š” ์ธก์ •๋ฐฉ๋ฒ•์„ ์ œ์•ˆํ•œ๋‹ค. ์ œ์•ˆ ์ธก์ •๋ฐฉ๋ฒ• ๊ฐ€์ค‘ ์ž”์ฐจ ๋ ˆ๋‹ˆ ์ •๋ณด(WRRI)๋Š” ์ด์ „ ์—ฐ๊ตฌ๋“ค์—์„œ ์ œ์•ˆ๋œ ์ธก์ •๋ฐฅ๋ฒ•๋“ค์— ๋Œ€ํ•œ ๋น„๊ต์—ฐ๊ตฌ๋ฅผ ํ†ตํ•ด ์„ ์ •๋œ ๋ ˆ๋‹ˆ ์ •๋ณด์— ๊ธฐ๋ฐ˜ํ•œ๋‹ค. WRRI๋Š” ๋ ˆ๋‹ˆ ์ •๋ณด์˜ ์ž…๋ ฅ ํ˜•ํƒœ๋ฅผ 2๊ฐ€์ง€ ์„ฑ๋ถ„์œผ๋กœ ๊ตฌ์„ฑ๋œ ๋ณ€ํ˜• ํ˜•ํƒœ๋ฅผ ํ†ตํ•ด ์ •์˜๋œ๋‹ค. ์ฒซ ๋ฒˆ์งธ ์„ฑ๋ถ„์€ ๊ณ ์žฅ ํŠน์ง• ์ถ”์ถœ์„ ์œ„ํ•œ ์ž”์ฐจ์„ฑ๋ถ„์ด๊ณ , ๋‘ ๋ฒˆ์งธ ์„ฑ๋ถ„์€ ๋…ธ์ด์ฆˆ์˜ ์˜ํ–ฅ์„ฑ์„ ์ค„์ด๊ธฐ ์œ„ํ•œ ๊ฐ€์ค‘์„ฑ๋ถ„์ด๋‹ค. ๊ฒ€์ฆ ๊ณผ์ •์€ ์‚ฐ์ˆ ์  ์‹ ํ˜ธ์™€ ๋ชจํ„ฐ, ๊ธฐ์–ด ๋ฐ•์Šค๋กœ ์ด๋ฃจ์–ด์ง„ ์‹ ํ˜ธ๋ฅผ ํ†ตํ•ด 2 ๋‹จ๊ณ„๋กœ ์ง„ํ–‰๋œ๋‹ค. ์‚ฐ์ˆ ์  ์‹ ํ˜ธ๋ฅผ ์‚ฌ์šฉํ•œ ๊ฒ€์ฆ๊ณผ์ •์—์„œ WRRI๋Š” ๊ธฐ์กด ์ธก์ • ๋ฐฉ๋ฒ•์ธ ๋ ˆ๋‹ˆ ์ •๋ณด๋ณด๋‹ค ๊ณ ์žฅ ํŠน์ง• ๊ฒ€์ถœ์— ๋” ์ ํ•ฉํ•œ ์‹œ๊ฐ„-์ฃผํŒŒ์ˆ˜ ํ‘œํ˜„ ํŒŒ๋ผ๋ฏธํ„ฐ๋ฅผ ์ œ์•ˆํ–ˆ๋‹ค. ๋˜ํ•œ ๋ชจํ„ฐ์™€ ๊ธฐ์–ด๋ฐ•์Šค ํ…Œ์ŠคํŠธ๋ฒ ๋“œ ์‹ ํ˜ธ๋ฅผ ์‚ฌ์šฉํ•œ ๊ฒ€์ฆ๊ณผ์ •์—์„œ WRRI๋Š” ๋ ˆ๋‹ˆ ์ •๋ณด๋ณด๋‹ค ๊ณ ์žฅ ํŠน์ง• ์ถ”์ถœ๊ณผ ์ง„๋‹จ์— ๋” ์ ํ•ฉํ•œ ์‹œ๊ฐ„-์ฃผํŒŒ์ˆ˜ ํŒŒ๋ผ๋ฏธํ„ฐ๋ฅผ ์ œ์•ˆํ–ˆ๋‹ค.Chapter 1 . Introduction 1 1.1 Introduction 1 Chapter 2 . TFR Measure for Readability 4 2.1 Linear TFR 4 2.2 TFR Measures 11 2.3 Comparative Study of Previous Measure 13 Chapter 3 . TFR Measure for Detectability 16 3.1 Fault Feature Detectability 16 3.2 Weighted Residual Rnyi Information 22 Chapter 4 . Validation of the Proposed Measure 29 4.1 Analytic Signals Having Fault Feature 29 4.2 Experiment Signal 33 Chapter 5 . Conclusion 57 Bibliography 58 ๊ตญ๋ฌธ ์ดˆ๋ก 64Maste

    Recursive Parametric Frequency/Spectrum Estimation for Nonstationary Signals With Impulsive Components Using Variable Forgetting Factor

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    Wavelet Analysis and Denoising: New Tools for Economists

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    This paper surveys the techniques of wavelets analysis and the associated methods of denoising. The Discrete Wavelet Transform and its undecimated version, the Maximum Overlapping Discrete Wavelet Transform, are described. The methods of wavelets analysis can be used to show how the frequency content of the data varies with time. This allows us to pinpoint in time such events as major structural breaks. The sparse nature of the wavelets representation also facilitates the process of noise reduction by nonlinear wavelet shrinkage , which can be used to reveal the underlying trends in economic data. An application of these techniques to the UK real GDP (1873-2001) is described. The purpose of the analysis is to reveal the true structure of the data - including its local irregularities and abrupt changes - and the results are surprising.Wavelets, Denoising, Structural breaks, Trend estimation

    A Wavelet Visible Difference Predictor

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    In this paper, we describe a model of the human visual system (HVS) based on the wavelet transform. This model is largely based on a previously proposed model, but has a number of modifications that make it more amenable to potential integration into a wavelet based image compression scheme. These modifications include the use of a separable wavelet transform instead of the cortex transform, the application of a wavelet contrast sensitivity function (CSF), and a simplified definition of subband contrast that allows us to predict noise visibility directly from wavelet coefficients. Initially, we outline the luminance, frequency, and masking sensitivities of the HVS and discuss how these can be incorporated into the wavelet transform. We then outline a number of limitations of the wavelet transform as a model of the HVS, namely the lack of translational invariance and poor orientation sensitivity. In order to investigate the efficacy of this wavelet based model, a wavelet visible difference predictor (WVDP) is described. The WVDP is then used to predict visible differences between an original and compressed (or noisy) image. Results are presented to emphasize the limitations of commonly used measures of image quality and to demonstrate the performance of the WVDP. The paper concludes with suggestions on how the WVDP can be used to determine a visually optimal quantization strategy for wavelet coefficients and produce a quantitative measure of image quality

    CNN AND LSTM FOR THE CLASSIFICATION OF PARKINSON'S DISEASE BASED ON THE GTCC AND MFCC

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    Parkinson's disease is a recognizable clinical syndrome with a variety of causes and clinical presentations; it represents a rapidly growing neurodegenerative disorder. Since about 90 percent of Parkinson's disease sufferers have some form of early speech impairment, recent studies on tele diagnosis of Parkinson's disease have focused on the recognition of voice impairments from vowel phonations or the subjects' discourse. In this paper, we present a new approach for Parkinson's disease detection from speech sounds that are based on CNN and LSTM and uses two categories of characteristics Mel Frequency Cepstral Coefficients (MFCC) and Gammatone Cepstral Coefficients (GTCC) obtained from noise-removed speech signals with comparative EMD-DWT and DWT-EMD analysis. The proposed model is divided into three stages. In the first step, noise is removed from the signals using the EMD-DWT and DWT-EMD methods. In the second step, the GTCC and MFCC are extracted from the enhanced audio signals. The classification process is carried out in the third step by feeding these features into the LSTM and CNN models, which are designed to define sequential information from the extracted features. The experiments are performed using PC-GITA and Sakar datasets and 10-fold cross validation method, the highest classification accuracy for the Sakar dataset reached 100% for both EMD-DWT-GTCC-CNN and DWT-EMD-GTCC-CNN, and for the PC-GITA dataset, the accuracy is reached 100% for EMD-DWT-GTCC-CNN and 96.55% for DWT-EMD-GTCC-CNN. The results of this study indicate that the characteristics of GTCC are more appropriate and accurate for the assessment of PD than MFCC

    Analysis of the structure of time-frequency information in electromagnetic brain signals

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    This thesis encompasses methodological developments and experimental work aimed at revealing information contained in time, frequency, and timeโ€“frequency representations of electromagnetic, specifically magnetoencephalographic, brain signals. The work can be divided into six endeavors. First, it was shown that sound slopes increasing in intensity from undetectable to audible elicit event-related responses (ERRs) that predict behavioral sound detection. This provides an opportunity to use non-invasive brain measures in hearing assessment. Second, the actively debated generation mechanism of ERRs was examined using novel analysis techniques, which showed that auditory stimulation did not result in phase reorganization of ongoing neural oscillations, and that processes additive to the oscillations accounted for the generation of ERRs. Third, the prerequisites for the use of continuous wavelet transform in the interrogation of event-related brain processes were established. Subsequently, it was found that auditory stimulation resulted in an intermittent dampening of ongoing oscillations. Fourth, information on the timeโ€“frequency structure of ERRs was used to reveal that, depending on measurement condition, amplitude differences in averaged ERRs were due to changes in temporal alignment or in amplitudes of the single-trial ERRs. Fifth, a method that exploits mutual information of spectral estimates obtained with several window lengths was introduced. It allows the removal of frequency-dependent noise slopes and the accentuation of spectral peaks. Finally, a two-dimensional statistical data representation was developed, wherein all frequency components of a signal are made directly comparable according to spectral distribution of their envelope modulations by using the fractal property of the wavelet transform. This representation reveals noise buried processes and describes their envelope behavior. These examinations provide for two general conjectures. The stability of structures, or the level of stationarity, in a signal determines the appropriate analysis method and can be used as a measure to reveal processes that may not be observable with other available analysis approaches. The results also indicate that transient neural activity, reflected in ERRs, is a viable means of representing information in the human brain.reviewe
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