• Title/Summary/Keyword: wavelet function

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A Study on Probability of Bit Error for Wavelet in 4-ary SWSK System (4-ary SWSK 시스템에서 웨이브릿에 대한 비트 에러 확률에 관한 연구)

  • Jeong, Tae-Il
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.1
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    • pp.57-62
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    • 2011
  • This paper presents a study on the performance analysis on probability of bit error for wavelet in 4-ary SWSK system. The formula for the bit error probability in 4-ary SWSK system was derived from the conventional method. This paper experimentally implements the probability of bit error for Daubechies, Biorthogonal, Coiflet and Symlet wavelet using the conventional formula of bit error probability. Additionally, the performance of bit error probability is analyzed for the period and the number of wavelet taps. Based on the results, we confirmed that the performance of Coiflet and Symlet wavelet for the probability of bit error is superior to the other wavelet, and their probability of bit error are similar.

Rectangular prism pressure coherence by modified Morlet continuous wavelet transform

  • Le, Thai-Hoa;Caracoglia, Luca
    • Wind and Structures
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    • v.20 no.5
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    • pp.661-682
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    • 2015
  • This study investigates the use of time-frequency coherence analysis for detecting and evaluating coherent "structures" of surface pressures and wind turbulence components, simultaneously on the time-frequency plane. The continuous wavelet transform-based coherence is employed in this time-frequency examination since it enables multi-resolution analysis of non-stationary signals. The wavelet coherence quantity is used to identify highly coherent "events" and the "coherent structure" of both wind turbulence components and surface pressures on rectangular prisms, which are measured experimentally. The study also examines, by proposing a "modified" complex Morlet wavelet function, the influence of the time-frequency resolution and wavelet parameters (i.e., central frequency and bandwidth) on the wavelet coherence of the surface pressures. It is found that the time-frequency resolution may significantly affect the accuracy of the time-frequency coherence; the selection of the central frequency in the modified complex Morlet wavelet is the key parameter for the time-frequency resolution analysis. Furthermore, the concepts of time-averaged wavelet coherence and wavelet coherence ridge are used to better investigate the time-frequency coherence, the coherently dominant events and the time-varying coherence distribution. Experimental data derived from physical measurements of turbulent flow and surface pressures on rectangular prisms with slenderness ratios B/D=1:1 and B/D=5:1, are analyzed.

Damping Ratio Evaluation Using Long-Term Ambient Vibration (장기간 상시계측을 통한 감쇠율 평가)

  • Kim, Yong Chul;Yoon, Sung-Won
    • Journal of Korean Association for Spatial Structures
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    • v.18 no.1
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    • pp.77-84
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    • 2018
  • The identification of damping ratios in buildings is a well-known problem and appears to be of important and crucial interest in the safety and serviceability design. When compared to an estimation of the stiffness, i.e. natural frequency, and mass, the damping ratio is the most difficult quantity to determine. Many previous studies have examined the characteristics of damping ratios from ambient vibration, but the measurement time is roughly within 2 hours. In this paper, characteristics of damping ratios and natural frequencies of 4 story RC building were investigated using long-term ambient vibration. Free vibrations were obtained using random decrement technique, and damping ratios were evaluated by the envelop function, continuous wavelet transform, and logarithmic decrement. It was found that although the natural frequencies show little variations with time, the damping ratios show some variations with time and the largest variations found in the damping ratios obtained from the continuous wavelet transform. The damping ratios from the envelop function showed the smallest mean and standard deviation. And the probability distribution of damping ratios seems to follow the logarithmic normal distribution.

Detection of Microcalcification Using the Wavelet Based Adaptive Sigmoid Function and Neural Network

  • Kumar, Sanjeev;Chandra, Mahesh
    • Journal of Information Processing Systems
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    • v.13 no.4
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    • pp.703-715
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    • 2017
  • Mammogram images are sensitive in nature and even a minor change in the environment affects the quality of the images. Due to the lack of expert radiologists, it is difficult to interpret the mammogram images. In this paper an algorithm is proposed for a computer-aided diagnosis system, which is based on the wavelet based adaptive sigmoid function. The cascade feed-forward back propagation technique has been used for training and testing purposes. Due to the poor contrast in digital mammogram images it is difficult to process the images directly. Thus, the images were first processed using the wavelet based adaptive sigmoid function and then the suspicious regions were selected to extract the features. A combination of texture features and gray-level co-occurrence matrix features were extracted and used for training and testing purposes. The system was trained with 150 images, while a total 100 mammogram images were used for testing. A classification accuracy of more than 95% was obtained with our proposed method.

Noise Reduction of Digital Image Using Wavelet Coefficient (웨이블릿 계수를 이용한 디지털영상에서의 잡음제거)

  • 남현주;최승권;신승수;조용환
    • Proceedings of the Korea Contents Association Conference
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    • 2003.05a
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    • pp.376-382
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    • 2003
  • Recently, there have been many types of wavelet transformations proposed to remove the noise from an signal and image data By using feature of seperating the noise from the original image the Wavelet transformations can retain the edges of the images The wavelet analysis is complete when the basis function is coded into the wavelet This Thesis describes a method of using wavelet transformation to remove the noise from an image signal. Although the wavelet transformation proposed by Donoho and Johnstone works, it does not reliably remove all the noise from the images. So this thesis propose an algorithm that selected Wavelet Shrinkgae and threshold according to the features of bands and amplitude of noise.

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Performance Improvement of Aerial Images Taken by UAV Using Daubechies Stationary Wavelet (Daubechies 정상 웨이블릿을 이용한 무인항공기 촬영 영상 성능 개선)

  • Kim, Sung-Hoon;Hong, Gyo-Young
    • Journal of Advanced Navigation Technology
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    • v.20 no.6
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    • pp.539-543
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    • 2016
  • In this paper, we study the technique to improve the performance of the aerial images taken by UAV using daubechies stationary wavelet transform. When aerial images taken by UAV were damaged by gaussian noise very commonly applied, the experiment for image performance improvement was performed. It was known that stationary wavelet transform is the transferring solution to the problem occurred by down sampling from DWT also more efficient to remove noise than DWT. Also haar wavelet is discontinuous function so not efficient for smooth signal and image processing. Therefore, this study is confirmed that the noise can be removed by daubechies stationary wavelet and the performance is improved by haar stationary wavelet.

Coherent Structure Extraction from 3-Dimensional Isotropic Turbulence Velocity Field Using Discrete Wavelet Transform (이산 Wavelet 변환을 이용한 3차원 등방성 난류속도장의응집구조 추출)

  • Lee, Sang-Hwan;Jung, Jae-Yoon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.9
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    • pp.1032-1041
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    • 2004
  • In this study we decompose the 3-dimensional velocity field of isotropic turbulent flow into the coherent and the incoherent structure using the discrete wavelet. It is shown that the coherent structure, 3% wavelet modes, has 98% energy and 88% enstrophy and its statistical characteristics are almost same as the original turbulence structure. And it is confirmed that the role of the coherent structure is that it produces the turbulent kinetic energy at the inertia range then transfers energy to the dissipation range. The incoherent structure, with residual wavelet modes, is uncorrelated and has the Gaussian probability density function but it dissipates the kinetic energy in dissipation range. On the procedure, we propose a new but easy way to get the threshold by applying the energy partition percentage concept about coherent structure. The vorticity field extracted from the wavelet-decomposed velocity field has the same structure as the result of the precedent studies which decomposed vorticity field directly using wavelet. Therefore it has been shown that velocity and vorticity field are on the interactive condition.

Artifact Reduction in Sparse-view Computed Tomography Image using Residual Learning Combined with Wavelet Transformation (Wavelet 변환과 결합한 잔차 학습을 이용한 희박뷰 전산화단층영상의 인공물 감소)

  • Lee, Seungwan
    • Journal of the Korean Society of Radiology
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    • v.16 no.3
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    • pp.295-302
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    • 2022
  • Sparse-view computed tomography (CT) imaging technique is able to reduce radiation dose, ensure the uniformity of image characteristics among projections and suppress noise. However, the reconstructed images obtained by the sparse-view CT imaging technique suffer from severe artifacts, resulting in the distortion of image quality and internal structures. In this study, we proposed a convolutional neural network (CNN) with wavelet transformation and residual learning for reducing artifacts in sparse-view CT image, and the performance of the trained model was quantitatively analyzed. The CNN consisted of wavelet transformation, convolutional and inverse wavelet transformation layers, and input and output images were configured as sparse-view CT images and residual images, respectively. For training the CNN, the loss function was calculated by using mean squared error (MSE), and the Adam function was used as an optimizer. Result images were obtained by subtracting the residual images, which were predicted by the trained model, from sparse-view CT images. The quantitative accuracy of the result images were measured in terms of peak signal-to-noise ratio (PSNR) and structural similarity (SSIM). The results showed that the trained model is able to improve the spatial resolution of the result images as well as reduce artifacts in sparse-view CT images effectively. Also, the trained model increased the PSNR and SSIM by 8.18% and 19.71% in comparison to the imaging model trained without wavelet transformation and residual learning, respectively. Therefore, the imaging model proposed in this study can restore the image quality of sparse-view CT image by reducing artifacts, improving spatial resolution and quantitative accuracy.

Estimation of Hazard Function and its Associated Factors in Gastric Cancer Patients using Wavelet and Kernel Smoothing Methods

  • Ahmadi, Azadeh;Roudbari, Masoud;Gohari, Mahmood Reza;Hosseini, Bistoon
    • Asian Pacific Journal of Cancer Prevention
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    • v.13 no.11
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    • pp.5643-5646
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    • 2012
  • Background and Objectives: Increase of mortality rates of gastric cancer in Iran and the world in recent years reveal necessity of studies on this disease. Here, hazard function for gastric cancer patients was estimated using Wavelet and Kernel methods and some related factors were assessed. Materials and Methods: Ninety-five gastric cancer patients in Fayazbakhsh Hospital between 1996 and 2003 were studied. The effects of age of patients, gender, stage of disease and treatment method on patient's lifetime were assessed. For data analyses, survival analyses using Wavelet method and Log-rank test in R software were used. Results: Nearly 25.3% of patients were female. Fourteen percent had surgery treatment and the rest had treatment without surgery. Three fourths died and the rest were censored. Almost 9.5% of patients were in early stages of the disease, 53.7% in locally advance stage and 36.8% in metastatic stage. Hazard function estimation with the wavelet method showed significant difference for stages of disease (P<0.001) and did not reveal any significant difference for age, gender and treatment method. Conclusion: Only stage of disease had effects on hazard and most patients were diagnosed in late stages of disease, which is possibly one of the most reasons for high hazard rate and low survival. Therefore, it seems to be necessary a public education about symptoms of disease by media and regular tests and screening for early diagnosis.

(Adaptive Structure of Modular Wavelet Neural Network Using Growing and Pruning Algorithm) (성장과 소거 알고리즘을 이용한 모듈화된 웨이블렛 신경망의 적응구조 설계)

  • Seo, Jae-Yong;Kim, Yong-Taek;Jo, Hyeon-Chan;Jeon, Hong-Tae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.39 no.1
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    • pp.16-23
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    • 2002
  • In this paper, we propose the growing and pruning algorithm to design the optimal structure of modular wavelet neural network(MWNN) with F-projection and geometric growing criterion. Geometric growing criterion consists of estimated error criterion considering local error and angle criterion which attempts to assign wavelet function that is nearly orthogonal to all other existing wavelet functions. These criteria provide a methodology which a network designer can construct MWNN according to one's intention. The proposed growing algorithm increases in number of module or the size of modules of MWNN. Also, the pruning algorithm eliminates unnecessary node of module or module from constructed MWNN to overcome the problem due to localized characteristic of wavelet neural network which is used to modules of MWNN. We apply the proposed constructing algorithm of the optimal structure of MWNN to approximation problems of 1-D function and 2-D function, and evaluate the effectiveness of the proposed algorithm.