28 results on '"Tetsuo Miyake"'
Search Results
2. Study on bridge floor crack detection using the 2-dimensional complex discrete wavelet packet transform
- Author
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Ohzora Hamada, Takuma Akiduki, Hiroshi Toda, Zhong Zhang, and Tetsuo Miyake
- Subjects
Discrete wavelet transform ,Lifting scheme ,Computer science ,business.industry ,Stationary wavelet transform ,Second-generation wavelet transform ,Wavelet transform ,020101 civil engineering ,02 engineering and technology ,0201 civil engineering ,Wavelet packet decomposition ,Wavelet ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Computer vision ,Artificial intelligence ,Harmonic wavelet transform ,business - Abstract
Bridge inspection usually is done visually on the spot. For this reason, inspection is very difficult in the case where humans can not enter, and it has become a problem. Therefore, in order to overcome this problem, we propose a new method in which pictures are taken by Drone and cracks are detected by image processing using a wavelet transform. Since bridge crack include many directional components, the characteristics of directional selection is useful for feature extraction. In this study, a 2-Dimensional Complex Discrete Wavelet Packet Transform with excellent directional selection is applied to bridge floor crack detection, and encouraging results are obtained.
- Published
- 2016
3. Consideration of composing method of the optimized real-signal mother wavelet
- Author
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Takuma Akiduki, Tetsuo Miyake, Zhong Zhang, and Junji Suzuki
- Subjects
Discrete wavelet transform ,Wavelet ,Lifting scheme ,business.industry ,Second-generation wavelet transform ,Stationary wavelet transform ,Wavelet transform ,Pattern recognition ,Artificial intelligence ,Harmonic wavelet transform ,business ,Mathematics ,Wavelet packet decomposition - Abstract
The main drawback of abnormality diagnosis using the wavelet transform (WT) is that it needs much time. In order to improve this problem, a new real signal mother wavelet (RMW) that is made from all objective frequency components has been suggested. Thus the RMW can be greatly shorten the WT calculation time, and this WT is named the Wavelet Instantaneous Correlation (WIC). However, in order to construct the conventional RMW, it is essential to gather the target sounds, namely “sound samples” beforehand. In general, these are gathered by professionals using sensors. Furthermore it is possible that the abnormality diagnosis accuracy may decrease, because of a frequency component difference between the actual sound and the “sound sample”. In this study, therefore, we propose an improved method in which the expected characteristic frequency is extracted from actual sounds automatically, without requiring the “sound sample” to be obtained by professionals.
- Published
- 2016
4. DIRECTIONAL SELECTION OF TWO-DIMENSIONAL COMPLEX DISCRETE WAVELET TRANSFORM AND ITS APPLICATION TO IMAGE PROCESSING
- Author
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Nariya Komazaki, Hiroshi Toda, Zhong Zhang, Takashi Imamura, and Tetsuo Miyake
- Subjects
Discrete wavelet transform ,Lifting scheme ,business.industry ,Applied Mathematics ,Second-generation wavelet transform ,Stationary wavelet transform ,Wavelet transform ,Pattern recognition ,Wavelet packet decomposition ,Wavelet ,Signal Processing ,Artificial intelligence ,Harmonic wavelet transform ,business ,Information Systems ,Mathematics - Abstract
In this study, a novel direction selection method using the two-dimensional complex discrete wavelet transform (2D-CDWT) is proposed. In order to achieve arbitrary direction selection, the directional filters are first designed. Calculation procedure of directional selection can be shown as follows: (1) The 16 sub-images are generally generated from the original image by the 2D-CDWT without a down-sampling process and the 12 sub-images that correspond to the high-frequency components are selected. (2) The 12 sub-images are filtered by using the designed directional filter. (3) The down-sampling process is carried out and the resulting images are obtained. Furthermore, this method is applied to the surface analysis of a wafer, and it is confirmed that our method is effective in detecting irregular direction components.
- Published
- 2010
5. Parasitic Discrete Wavelet Transform and its Application on Abnormal Signal Detection(Mechanical Systems)
- Author
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Zhong ZHANG, Hiroki IKEUCHI, Noriho SAIKI, Takashi IMAMURA, Hideaki ISHII, Hiroshi TODA, and Tetsuo MIYAKE
- Subjects
Vibration ,geography ,geography.geographical_feature_category ,Mechanics of Materials ,Computer science ,Mechanical Engineering ,Acoustics ,Wavelet transform ,Industrial and Manufacturing Engineering ,Sound (geography) ,Time–frequency analysis - Published
- 2009
6. Defocus Blur Restoration Using Shift-Invariant Wavelet Transform
- Author
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Tetsuo Miyake, Akio Miwa, Zhang Zhong, and Hisanaga Fujiwara
- Subjects
Discrete wavelet transform ,Deblurring ,Computer science ,business.industry ,Second-generation wavelet transform ,Stationary wavelet transform ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,Wavelet transform ,Computer Science Applications ,Wavelet packet decomposition ,Computer Science::Graphics ,Wavelet ,Computer Science::Computer Vision and Pattern Recognition ,Media Technology ,Computer vision ,Artificial intelligence ,Electrical and Electronic Engineering ,business ,Continuous wavelet transform ,ComputingMethodologies_COMPUTERGRAPHICS - Abstract
We restore a blurred image caused by defocus of a lens using the shift-invariant wavelet transform created using RI-Spline wavelets.In a defocus blurred image,the blurring kernel varies depending on its position in the image,so a positional frequency representation,such as a wavelet space,is required in order to deblur it.To restore the defocus blur,we assume that the blurring kernel can be obtained regardless of its position in an image.In experiments we conducted using synthesized images,our method using the shift-invariant wavelet transform showed better deblurring performance than that of the ordinary wavelet transform.We also show that our method can be applied to real images if additional range data is used.
- Published
- 2007
7. Approximate tight wavelet frame using Gabor wavelet
- Author
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Zhong Zhang, Hiroshi Toda, Tetsuo Miyake, and Miyori Shirasuna
- Subjects
Discrete wavelet transform ,Lifting scheme ,Computer science ,business.industry ,Second-generation wavelet transform ,Stationary wavelet transform ,Gabor wavelet ,MathematicsofComputing_NUMERICALANALYSIS ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,Wavelet transform ,Pattern recognition ,Data_CODINGANDINFORMATIONTHEORY ,Wavelet packet decomposition ,ComputingMethodologies_PATTERNRECOGNITION ,Wavelet ,Computer Science::Sound ,Computer Science::Computer Vision and Pattern Recognition ,Artificial intelligence ,business - Abstract
It is well known that the continuous wavelet transform using the Gabor wavelet is useful and has high precision. However, its calculation amount is very large, and generally, its practical calculation is discretized depending on experience. In this paper, we consider the discretization method for the continuous wavelet transform using the Gabor wavelet set, and propose some approximate tight wavelet frames using the Gabor wavelet set, and based on them, we propose how to thin the Gabor wavelets in the continuous wavelet transform.
- Published
- 2015
8. Achieving complex discrete wavelet transform by lifting scheme using Meyer wavelet
- Author
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Tetsuo Miyake, Zhong Zhang, Hiroshi Toda, and Kosuke Shimasue
- Subjects
Discrete wavelet transform ,Mathematical optimization ,Wavelet ,Lifting scheme ,Stationary wavelet transform ,Second-generation wavelet transform ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,Wavelet transform ,Data_CODINGANDINFORMATIONTHEORY ,Algorithm ,Meyer wavelet ,Wavelet packet decomposition ,Mathematics - Abstract
The complex discrete wavelet transform (CDWT) can be carried out by using a complex mother wavelet that is designed based on the Meyer wavelet, and achieves perfect translation invariance. However, it is calculated by the parallel Multi-resolution algorithm (MRA) using the imaginary part and the real part of the complex mother wavelet and the calculation amount is more than double that of the traditional discrete wavelet transform (DWT). In order to reduce the calculation amount, using the lifting scheme instead of the MRA is considered, although the lifting scheme was only used in the case of the mother wavelet with a compact support. In this research, we design a lifting scheme filter of Meyer wavelet without compact support in order to achieve high-speed computation by application to the CDWT, and have obtained encouraging results.
- Published
- 2014
9. The novel directional selection based on complex discrete wavelet transform
- Author
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Takashi Imamura, Zhong Zhang, Tetsuo Miyake, Takeshi Kato, and Hiroshi Toda
- Subjects
Discrete wavelet transform ,Wavelet ,Lifting scheme ,business.industry ,Computer science ,Second-generation wavelet transform ,Stationary wavelet transform ,Wavelet transform ,Pattern recognition ,Artificial intelligence ,Harmonic wavelet transform ,business ,Wavelet packet decomposition - Published
- 2014
10. Nonstationary signal analysis using the RI-Spline wavelet
- Author
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Zhong Zhang, Tetsuo Miyake, Hiroshi Toda, and Satoshi Horihata
- Subjects
Discrete wavelet transform ,business.industry ,Second-generation wavelet transform ,Stationary wavelet transform ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,MathematicsofComputing_NUMERICALANALYSIS ,Wavelet transform ,Cascade algorithm ,Pattern recognition ,Data_CODINGANDINFORMATIONTHEORY ,Computer Science Applications ,Theoretical Computer Science ,Wavelet packet decomposition ,Wavelet ,Computational Theory and Mathematics ,Artificial Intelligence ,Artificial intelligence ,business ,Harmonic wavelet transform ,Software ,Mathematics - Abstract
In our first report, we have proposed a complex type wavelet, the Real-Imaginary Spline Wavelet (RI-Spline wavelet) for the continuous wavelet transform and demonstrated the advantages of our approach. In this study, we develop our RI-Spline wavelet for the Discrete Wavelet Transform (DWT) that uses a fast algorithm based on Multi-resolution analysis. The DWT has a translation variance problem, so it can not catch features of the signals exactly although it has been widely used in signal analysis. In order to overcome this translation variance problem, we first develop a Complex Discrete Wavelet Transform (CDWT) using the RI-Spline wavelet and propose the Coherent Dual-Tree algorithm for the RI-Spline wavelet without increasing the computational cost very much. Then we apply this translation invariant CDWT to translation invariant de-noising. Experimental results show that our method, when applied to ECG data and music data, can obtain better de-noising results than conventional Wavelet Shrinkage.
- Published
- 2001
11. A novel variable-filter band discrete wavelet transform and its application on fetal electrocardiogram
- Author
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Tetsuo Miyake, Zhong Zhang, Jin Otaki, Takashi Imamura, and Hiroshi Toda
- Subjects
Discrete wavelet transform ,Wavelet ,Speech recognition ,Stationary wavelet transform ,Second-generation wavelet transform ,Wavelet transform ,Harmonic wavelet transform ,Algorithm ,Constant Q transform ,Mathematics ,Wavelet packet decomposition - Abstract
It is well known that a mother wavelet for the discrete wavelet transform (DWT) has the band-pass filter characteristic with octave width in the frequency domain and can be used for octave analysis. However, it is possible that the octave analysis is not necessarily the most suitable to match the analysis signal. In this study, a novel variable-filter band discrete wavelet transform (VFB-DWT) is proposed. It is achieved by using variable-band filters instead of conventional decomposition and reconstruction sequences, which are designed in consideration of the real signal characteristics. Furthermore, the VFB-DWT is applied to the fetal electrocardiogram de-noising and good performance has ben obtained.
- Published
- 2013
12. The principle and evaluation method of directional selection of complex wavelet transform
- Author
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Hiroshi Toda, Zhong Zhang, Takeshi Kato, Tetsuo Miyake, and Takashi Imamura
- Subjects
Discrete wavelet transform ,business.industry ,Stationary wavelet transform ,Second-generation wavelet transform ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,Wavelet transform ,Pattern recognition ,Wavelet packet decomposition ,Wavelet ,Artificial intelligence ,Complex wavelet transform ,Harmonic wavelet transform ,business ,Mathematics - Abstract
Previously, Discrete wavelet Transform(DWT) is well known for useful image processing method. Complex Discrete Wavelet Transform(CDWT) is one of the DWT and has the function called directional selection. This is the expected to be applied into shape and texture analysis. But the principle of directional selection is still not clear. In this paper, we consider the principle of directional selection. After that, we propose the evaluation method for directional selection based on the principle. Finally, we confirm the validity of evaluation method.
- Published
- 2013
13. A novel design method for directional selection of 2-Dimensional Complex Wavelet Packet Transform
- Author
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Takashi Imamura, Tetsuo Miyake, Takeshi Kato, Zhong Zhang, and Hiroshi Toda
- Subjects
Discrete wavelet transform ,business.industry ,Second-generation wavelet transform ,Stationary wavelet transform ,Wavelet transform ,Cascade algorithm ,Wavelet packet decomposition ,Wavelet ,Computer vision ,Artificial intelligence ,business ,Algorithm ,Continuous wavelet transform ,Mathematics - Abstract
In this paper, we propose a design method for directional selection in the 2-Dimensional Complex Wavelet Packet Transform. Previous 2-Dimensional Complex Discrete Wavelet Transforms break up direction components, but the number of directions is small, and the directions and resolutions are fixed. So, they are not flexible enough. In this study, we propose a new design method that can detect desirable directions and resolutions. Finally, the proposed method is applied to defect detection in semiconductor wafer circuits in order to validate the proposed method.
- Published
- 2012
14. Variable-filter-band discrete wavelet transform: Improving energy loss problem
- Author
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Zhong Zhang, Tetsuo Miyake, Takashi Imamura, Jin Ohtaki, Hiroshi Toda, and Y. Ishikawa
- Subjects
Discrete wavelet transform ,Mathematical optimization ,Wavelet ,Lifting scheme ,Stationary wavelet transform ,Second-generation wavelet transform ,Wavelet transform ,Harmonic wavelet transform ,Algorithm ,Wavelet packet decomposition ,Mathematics - Abstract
In the variable filter band discrete wavelet transform (VFB-DWT), the frequency components in a specific frequency range has energy losses, and it also makes to reduce the extraction accuracy. In the previous study, this problem was improved by applying stationary wavelet transform (SWT) with redundancy. However, the SWT has a larger calculation cost more than that of previous method because it does not do down-sampling. In this paper, we propose the method of reducing the calculation cost and their effectiveness have been examined.
- Published
- 2012
15. A New Variable-Band Filter Design Method for the Discrete Wavelet Transform
- Author
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Zhong Zhang, Tetsuo Miyake, Takashi Imamura, and Hiroshi Toda
- Subjects
Discrete wavelet transform ,Lifting scheme ,Computer science ,business.industry ,Stationary wavelet transform ,Second-generation wavelet transform ,Wavelet transform ,Pattern recognition ,Wavelet packet decomposition ,Wavelet ,Computer vision ,Artificial intelligence ,Harmonic wavelet transform ,business - Abstract
In this study, a new design method for Variable-Band Filters (VBFs) corresponding to the Real-signal Mother Wavelet (RMW), which is constructed from a real signal, is proposed. In order to detect and extract unsteady abnormal signals, the designed VBFs are used in the discrete wavelet transform (DWT) instead of traditional wavelets. The DWT that uses the VBFs is called the Variable-Band Filter Discrete Wavelet Transform (VBF-DWT). The VFB-DWT is applied to remove the pulse noise in the ion current waveform, which is measured in a spark-ignition engine and extracts the knocking components. The obtained results show that the VFB-DWT is effective in the detection and extraction of abnormal signals.
- Published
- 2012
16. Parasitic descrease wavelet transform and its application on denoising
- Author
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Zhong Zhang, Tetsuo Miyake, Takashi Imamura, Hiroshi Toda, and Noriho Saiki
- Subjects
Discrete wavelet transform ,Wavelet ,business.industry ,Computer science ,Second-generation wavelet transform ,Stationary wavelet transform ,Wavelet transform ,Pattern recognition ,Artificial intelligence ,business ,Harmonic wavelet transform ,Continuous wavelet transform ,Wavelet packet decomposition - Abstract
It is well imown that parasitic discrete wavelet transform (PDWT) proposed by authors is a useful tool for abnormal signal detection, although it uses only for the signal decomposition and detection. In this study, a reconstruction possible new parasitic discrete wavelet transform (N-PDWT) has been proposed for traditional PDWT. The N-PDWT is different from the PDWT and the traditional DWT that it enabled the detailed decomposition corresponding to the purpose signal. In addition, the N-PDWT has been applied to the Korona noise removal form the ion current waveform of the engine and confirmed that the N-PDWT has bester performance than ihat of conventional impulse noise removal technique used the CDWT.
- Published
- 2010
17. Detection of Knocking by Wavelet Transform Using Ion Current
- Author
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Hiroshi Toda, Takashi Imamura, Noriho Saiki, Tetsuo Miyake, and Zhong Zhang
- Subjects
Discrete wavelet transform ,Wavelet ,Physics::Plasma Physics ,Computer science ,Quantitative Biology::Molecular Networks ,Feature extraction ,Waveform ,Wavelet transform ,Ion current ,Algorithm ,Wavelet packet decomposition ,Time–frequency analysis - Abstract
In this study, we first analyze the characteristics of knocking and the standing-wave by the wavelet transform using the ion current waveform, which is measured in a spark-ignition engine. Based on this result, we design wavelets to detect knocking from the ion current waveform. We next define an evaluation parameter E, and apply it to knocking detection and show its effectiveness.
- Published
- 2009
18. Independent Component Analysis using wavelet transform and its application to biological signals
- Author
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Hiroshi Toda, Yoshifumi Yasuda, Zhong Zhang, Tetsuo Miyake, Satoshi Horihata, T. Enomoto, and Takashi Imamura
- Subjects
Wavelet ,Computer science ,Noise (signal processing) ,business.industry ,Complex discrete wavelet transform ,Wavelet transform ,Pattern recognition ,Artificial intelligence ,business ,Signal ,Transfer function ,Independent component analysis ,Blind signal separation - Abstract
Independent Component Analysis (ICA) is a useful method for blind source separation of two signals or more. We have previously proposed a new method combining ICA with the complex discrete wavelet transform (CDWT). In this case, the voice and the noise were separated using a new method. At that time, we used the simulation signal. In this study, we analyze measured biological signals by using this new method, and discuss its effectiveness. As an example, we tried the separation of the EMG signal and the ECG signal.
- Published
- 2008
19. Parasitic Discrete Wavelet Transform and its Application on Abnormal Detection
- Author
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Zhong Zhang, Hiroki Ikeuchi, Tetsuo Miyake, and Takashi Imamura
- Subjects
Discrete wavelet transform ,Lifting scheme ,business.industry ,Stationary wavelet transform ,Second-generation wavelet transform ,Wavelet transform ,GeneralLiterature_MISCELLANEOUS ,Wavelet packet decomposition ,Wavelet ,Computer vision ,Artificial intelligence ,Harmonic wavelet transform ,business ,Mathematics - Abstract
In this study, in order to improve effectiveness of the abnormal signal detection, first the technique of constituting an average real signal mother wavelet (A-RMW) from two or more real signals was proposed. Then a novel parasitic discrete wavelet transform by using the RMW designed is proposed and it effectiveness has been conformed in the identification of the rattle noise that steering operation mechanism causes.
- Published
- 2007
20. De-noising method by combining RI-Wavelet and adaptive line enhancer
- Author
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Y. Ohara, Tetsuo Miyake, Hiroshi Toda, Takashi Imamura, and Zhong Zhang
- Subjects
Adaptive filter ,Pulse noise ,Wavelet ,business.industry ,Line (geometry) ,De noising ,Wavelet transform ,Computer vision ,Artificial intelligence ,Noise removal ,business ,Digital filter ,Mathematics - Abstract
Recently, there is a demand for the development of a noise removal system to acquire comfortable sounds in real-life sound environments in which various noises are intermingled. The Adaptive Line Enhancer (ALE), one of the applications of an adaptive digital filter, can extract only periodic signals from signals containing non-periodic noises. However, the ALE does not work well when applied to signals containing pulse noise. In this study, in order to improve this drawback of the ALE, a new method that combining the Complex Rl-Wavelet with the ALE is proposed. In our experiments of the simulation, encouraging results were obtained.
- Published
- 2007
21. Blind source separation by combining indepandent component analysis with complex discrete wavelet transform
- Author
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Zhong Zhang, Tetsuo Miyake, T. Enomoto, and Takashi Imamura
- Subjects
Discrete wavelet transform ,business.industry ,Computer science ,Stationary wavelet transform ,Second-generation wavelet transform ,Wavelet transform ,Pattern recognition ,Independent component analysis ,Blind signal separation ,Wavelet packet decomposition ,Wavelet ,Computer Science::Sound ,Artificial intelligence ,business - Abstract
It is well known that independent component analysis (ICA) is a useful method for blind source separation although it does have some drawbacks, such as performing poorly on unsteady sounds. In this study, in order to improve this deficiency, a new method combining ICA with the complex discrete wavelet transform is proposed and verification of source separation with relation to the problems of permutation and scaling in the ICA are performed. Through comparison of the results according to the signal noise ratio (SNR), the effectiveness of the proposed method is confirmed.
- Published
- 2007
22. The novel directional wavelet transform based on the complex wavelet transform and its application to medical image recognition
- Author
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Takashi Imamura, Hiroshi Toda, Tetsuo Miyake, Yasuhiro Ishikawa, Zhong Zhang, and Takeshi Kato
- Subjects
Discrete wavelet transform ,Wavelet ,business.industry ,Computer science ,Second-generation wavelet transform ,Stationary wavelet transform ,Wavelet transform ,Computer vision ,Artificial intelligence ,Complex wavelet transform ,business ,Harmonic wavelet transform ,Wavelet packet decomposition - Published
- 2015
23. 2-Dimensional Translation Invariant RI-Spline Wavelet and its Application
- Author
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Tetsuo Miyake, Zhong Zhang, Satoshi Horihata, and H. Toda
- Subjects
Discrete wavelet transform ,Lifting scheme ,business.industry ,Second-generation wavelet transform ,Stationary wavelet transform ,Wavelet transform ,Cascade algorithm ,Wavelet packet decomposition ,Computer Science::Graphics ,Wavelet ,Computer vision ,Artificial intelligence ,business ,Algorithm ,Mathematics - Abstract
We propose a 2-dimensional translation invariant real-imaginary spline wavelet (RI-spline wavelet) and develop a 2-dimensional complex discrete wavelet transform (2D CDWT). The main results obtained can be summarized as follows: (1) the problem of 2D translation variance which is caused by the DWT using a real mother wavelet can be solved by using the 2D RI-spline wavelet; (2) the 2D RI-spline wavelet is applied to image processing, and encouraging results are obtained.
- Published
- 2006
24. Improving Translation Invariance by Complex Wavelet using Phase Information
- Author
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Zhong Zhang, Tetsuo Miyake, Hiroshi Toda, and Takashi Imamura
- Subjects
Signal processing ,Phase change ,Wavelet ,Mathematical analysis ,Linear system ,Complex discrete wavelet transform ,Wavelet transform ,Invariant (physics) ,Algorithm ,Translation invariance ,Mathematics - Abstract
In this study, we examine the necessity for the Complex Discrete Wavelet Transform (CDWT) from the viewpoint that the signal's position shifting corresponds to the signal's phase change and discuss the effectiveness of the improved shift invariability of the CDWT based on linear translation invariant system theory. The results are: 1) the DWT is sensitive to the signal's shift (the phase change) and correspondingly the wavelet coefficients change sharply as the signal shifts. On the other hand, the CDWT is insensitive to the signal's phase change and the obtained wavelet coefficients are stable. 2) The output obtained by the CDWT is unique to the input signal having an arbitrary shift. That is, the CDWT system is not dependent on the position of the input signal and can be considered a linear translation invariant system.
- Published
- 2006
25. Diagnosis of senile dementia by wavelet analysis of brain waves
- Author
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Satoshi Horihata, Shunsuke Ishimitsu, and Tetsuo Miyake
- Subjects
Transformation (function) ,Wavelet ,medicine.diagnostic_test ,Feature (computer vision) ,Computer science ,Noise (signal processing) ,Speech recognition ,medicine ,Wavelet transform ,Electroencephalography ,Signal ,Time–frequency analysis - Abstract
Much research regarding time-frequency analysis using wavelet transformation (WT) has been focused on analyzing wavelets (AW), that are derived from a mathematical approach. In the analysis in this study, the measured signal is adopted as the AW. In a general way, this method is applicable to inquiry of noise in industrial instrument and analysis of sounds, vibrations and biological signals. In an application of the proposed system, the correlation between brain waves of healthy elderly people and of senile dementia sufferers is analyzed. Brain waves are complex and nonstationary signals. To apply this method to time-varying signals such as brain waves, a new concept of instantaneous correlation factor, ICF, is introduced. This method uses WT by employing the measured signal as the AW. In this study, we use brain waves as the AW. As a conclusion, it is proved that a dominant feature of the correlation can be estimated by the ICF. Time-varying correlation is effective in the analysis of brain waves and will be useful in the diagnosis of senile dementia.
- Published
- 2002
26. A novel variable filter band discrete wavelet transform: Theory and principle
- Author
-
Zhong Zhang, Tetsuo Miyake, Takashi Imamura, and Hiroshi Toda
- Subjects
Discrete wavelet transform ,Applied Mathematics ,Second-generation wavelet transform ,Stationary wavelet transform ,Wavelet transform ,Wavelet packet decomposition ,Wavelet ,Signal Processing ,Arithmetic ,Harmonic wavelet transform ,Algorithm ,Constant Q transform ,Information Systems ,Mathematics - Abstract
It is well-known that a mother wavelet for the discrete wavelet transform (DWT) has the band-pass filter characteristic with octave width in the frequency domain and can be used for octave analysis. However, it is possible that the octave analysis is not necessarily the most suitable to match the analysis signal. In this study, in order to construct the most suitable basis to match the analysis signal, a novel variable-filter band discrete wavelet transform (VFB-DWT) is proposed. It is achieved by using variable-band filters instead of conventional decomposition and reconstruction sequences, which are designed in consideration of the real signal characteristics. Additionally, it is proven that perfect reconstruction of the analysis signal by VFB-DWT is guaranteed using the perfect shift invariant theorem that underlies the theory of the PTI-CDWT having base DWT.
- Published
- 2014
27. A novel variable filter band discrete wavelet transform: Application
- Author
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Zhong Zhang, Tetsuo Miyake, Takashi Imamura, Hiroshi Toda, and Jin Ohtaki
- Subjects
Discrete wavelet transform ,business.industry ,Applied Mathematics ,Stationary wavelet transform ,Second-generation wavelet transform ,Wavelet transform ,Pattern recognition ,Filter (signal processing) ,Wavelet packet decomposition ,Wavelet ,Signal Processing ,Artificial intelligence ,business ,Continuous wavelet transform ,Information Systems ,Mathematics - Abstract
In this study, in order to verify the effectiveness of the variable filter band discrete wavelet transform (VFB-DWT) and construction method of the variable-band filter (VBF), a fetal ECG extraction has been carried out and the main results obtained are as follows. The approach to configuration VBF by selecting the frequency band only where the fetal ECG component is present was effective to configure the optimal base sensible signal. The extraction of the fetal ECG was successful by applying the wavelet shrinkage to VFB-DWT, which used the constructed VBF. The information entropy was selected as an evaluation index, and two kinds of ECG signals are used to evaluate the wavelet transform basis between the wavelet packet transform (WPT) and the VFB-DWT. One is a synthesized signal composed of white noise, the maternal ECG and the fetal ECG. The other signal is the real target signal separated by independent component analysis (ICA) and has the mother's body noise, the maternal ECG and the fetal ECG. The result shows that the basis by VBF of the VFB-DWT is better than the basis of the WPT that was chosen by the best basis algorithm (BBA).
- Published
- 2014
28. A NOVEL DESIGN METHOD FOR DIRECTIONAL SELECTION BASED ON 2-DIMENSIONAL COMPLEX WAVELET PACKET TRANSFORM
- Author
-
Takeshi Kato, Zhong Zhang, Hiroshi Toda, Tetsuo Miyake, and Takashi Imamura
- Subjects
Discrete wavelet transform ,business.industry ,Computer science ,Directional selection ,Applied Mathematics ,Second-generation wavelet transform ,Stationary wavelet transform ,Wavelet transform ,Contourlet ,Edge detection ,Wavelet packet decomposition ,Signal Processing ,Computer vision ,Artificial intelligence ,business ,Algorithm ,Information Systems - Abstract
In this paper, we propose a design method for directional selection in the two-dimensional complex wavelet packet transform (2D-CWPT). Current two-dimensional complex discrete wavelet transforms (2D-CDWT) can extract directional components from images, but the number of directions is small, and the directions and resolutions are fixed. Thus the current 2D-CDWTs are not flexible enough. In this study, we propose a new design method of the directional filters that can detect desirable direction components. Additionally flexible directional selection is achieved because the directional filters are added to the 2D-CWPT. Finally, the proposed method is applied to defect detection in semiconductor wafer circuits and an encouraging result is obtained.
- Published
- 2013
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