• Title/Summary/Keyword: Modulus transform

Search Result 81, Processing Time 0.031 seconds

Characteristic wave detection in ECG using complex-valued Continuous Wavelet Transforms

  • Berdakh, Abibullaev;Seo, Hee-Don
    • Journal of Biomedical Engineering Research
    • /
    • v.29 no.4
    • /
    • pp.278-285
    • /
    • 2008
  • In this study the complex-valued continuous wavelet transform (CWT) has been applied in detection of Electrocardiograms (ECG) as response to various signal classification methods such as Fourier transforms and other tools of time frequency analysis. Experiments have shown that CWT may serve as a detector of non-stationary signal changes as ECG. The tested signal is corrupted by short time events. We applied CWT to detect short-time event and the result image representation of the signal has showed us that one can easily find the discontinuity at the time scale representation. Analysis of ECG signal using complex-valued continuous wavelet transform is the first step to detect possible changes and alternans. In the second step, modulus and phase must be thoroughly examined. Thus, short time events in the ECG signal, and other important characteristic points such as frequency overlapping, wave onsets/offsets extrema and discontinuities even inflection points are found to be detectable. We have proved that the complex-valued CWT can be used as a powerful detector in ECG signal analysis.

Medical Image Watermarking Using Mallat Wavelet Transform (Mallat 웨이브릿 변환을 이용한 의료 영상 워터마킹)

  • 고창림;조진호
    • Journal of Biomedical Engineering Research
    • /
    • v.23 no.2
    • /
    • pp.81-85
    • /
    • 2002
  • In this paper, a new fragi1e watermarking algorithm for medical images is proposed. It makes possible to resolve the security and forgery problem of the medical images. In the proposed algorithm. the singularity which represents the inherent characteristic of the medical image is extracted and used as watermark. To extract the singularity point. we adopted Mallat wavelet transform because it can describe the edge of image exactly. Mallat wavelet transform produces horizontal and vertical subbands of the same resolution with the original image. The magnitude and phase components of the edge are obtained using these subbands. Based on the magnitude and phase components. LMM which will be used as watermark is determined. As LMM is the inherent singularity of image, if any forgery is applied to medical image, LMM of original and forged image are different each other Detecting the changes of LMM for the two images makes it possible whether any image is undergone forgery or not From the experimental results, we conformed that the proposed algorithm detects the forged area of the image very well.

Wavelet Analysis of Visualized Image (가시화 영상의 웨이브렛 해석)

  • Park, Young-Sik;Kim, Okug-Gyu
    • Journal of the Institute of Convergence Signal Processing
    • /
    • v.8 no.3
    • /
    • pp.143-148
    • /
    • 2007
  • The many studies have been proceeding to express accurately the feature of a sudden signal and a uncertain system in the image processing field. It is well know that Fourier Transform is widely used for frequency analysis of any signal. However, The frequency transform domain is not used for expressing the sudden signal change and non-stationary signal at the time-axis by this method. This paper describes of image analysis by discrete wavelet transform. Wavelet modulus maxima on transformed plane gives the Lipschitz exponent expression, which is useful to examine the characteristics of signal or the edge of an image. It is possible to reconstruct the original image only using the few maxima points. The fractal analysis is applied as an examples. The visualized image of oil flow on a ship model is analyzed. The fractal variable is obtained by the maxima analysis and the good results on the exprement is obtained by the visualized image analysis.

  • PDF

Stress Intensity Factors for an Interlaminar Crack in Composites under Arbitrary Crack Surface Loadings (임의의 균열표면 하중을 받는 복합채 중앙균열의 응력세기계수)

  • Lee, Gang-Yong;Park, Mun-Bok;Kim, Seong-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.20 no.3
    • /
    • pp.901-909
    • /
    • 1996
  • A model is constructed to evaluate the stress intensity factors(SIFs) for composites with an interlaminar crack subjected to as arbitrary crack surface loading. A mixed boundary value problem is formulated by Fourier integral transform method and a Fredholm integral equation of the second kind is derived. The integral equation is solved numerically and the mode I and II SIFs are evaluated for various shear modulus ratios between each layer, crack length to layer thickness, each term of crack surface polynomial loading and the number of layers. The mode I and II SIFs for the E- glass/epoxy composites as well as the hybrid composites are also evaluated.

Studies on the Fiber Orientation Distribution Function and Mechanical Anisotropy of Thermally Point-Bonded

  • Kim, Han-Seong
    • Proceedings of the Korean Fiber Society Conference
    • /
    • 2003.10a
    • /
    • pp.75-76
    • /
    • 2003
  • Current efforts to establish links between geometrical features and mechanical performance of nonwoven fabrics in general, and of point-bonded (spot-bonded) nonwovens in particular, would be served significantly by the measurements of Fiber Orientation Distribution Function (ODF) and tensile modulus which occurs during controlled-deformation experiments. Image analysis technique (using the Fast Furier Transform) is used to quantify the fiber orientation distribution. The results suggest that, within a typical window of processing conditions, ODF has a significant influence on the mechanical anisotropy. The data also suggest that mechanical anisotropy of thermally point-bonded nonwovens is likely to be governed by different stress mode according to the applied macroscopic tensile direction.

  • PDF

Mode III Stress Intensity Factors for Orthotropic Layered Material with Internal Center Crack Under Uniform Anti-Plane Shear Loading (균일한 면외 전단하중을 받는 직교 이방성 적층재 내부 중앙균열의 모드 III 응력세기계수)

  • Lee, Kang-Yong;Joo, Sung-Chul;Kim, Sung-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.23 no.6 s.165
    • /
    • pp.961-967
    • /
    • 1999
  • A model is constructed to evaluate the mode III stress intensity factor(SIF) for orthotropic three-layered material with a center crack subjected to uniform anti-plane shear loading. A mixed boundary value problem is formulated by Fourier integral transform method and a Fredholm integral equation of the second kind is derived. The integral equation is numerically analyzed to evaluate the effects of the ratio of shear modulus, strength of each layer and crack length to layer thickness on the stress intensity factor.

Elastodynamic Response of a Crack Perpendicular to the Graded Interfacial Zone in Bonded Dissimilar Materials Under Antiplane Shear Impact

  • Kim, Sung-Ho;Choi, Hyung-Jip
    • Journal of Mechanical Science and Technology
    • /
    • v.18 no.8
    • /
    • pp.1375-1387
    • /
    • 2004
  • A solution is given for the elastodynamic problem of a crack perpendicular to the graded interfacial zone in bonded materials under the action of anti plane shear impact. The interfacial zone is modeled as a nonhomogeneous interlayer with the power-law variations of its shear modulus and mass density between the two dissimilar, homogeneous half-planes. Laplace and Fourier integral transforms are employed to reduce the transient problem to the solution of a Cauchy-type singular integral equation in the Laplace transform domain. Via the numerical inversion of the Laplace transforms, the values of the dynamic stress intensity factors are obtained as a function of time. As a result, the influences of material and geometric parameters of the bonded media on the overshoot characteristics of the dynamic stress intensities are discussed. A comparison is also made with the corresponding elastostatic solutions, addressing the inertia effect on the dynamic load transfer to the crack tips for various combinations of the physical properties.

Complex Infinite Impulse Response Filter Equalization for Digital Vestigial Side Band Signals

  • Chung Won-Zoo
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.31 no.9C
    • /
    • pp.876-881
    • /
    • 2006
  • In this paper, we propose a complex-valued IIR filter for digital VSB signals based on CMA in order to efficiently mitigate multipath distortions, especially the leakage from the quadrature component. The proposed equalizer overcomes the drawback of the conventional real-valued IIR equalizers that it attempts to equalize Hilbert transform of quadrature component. We demonstrate via simulation that the proposed complex IIR filter successfully mitigates the leakages from the quadrature component, while the conventional real IIR filter requires a longer IIR filter to achieve the same performance. We present cost function analysis for a simple two-tap case showing that the proposed IIR equalizer with CMA for VSB signals has a global minimum at the desired location.

Mode I and Mode II Analyses of a Crack Normal to the Graded Interlayer in Bonded Materials

  • Park, Hyung-Jip
    • Journal of Mechanical Science and Technology
    • /
    • v.15 no.10
    • /
    • pp.1386-1397
    • /
    • 2001
  • In this paper, the plane elasticity equations are used to investigate the in-plane normal (mode I) and shear (mode II) behavior of a crack perpendicular to and terminating at the interface in bonded media with a graded interfacial zone. The interfacial Bone is treated as a nonhomogeneous interlayer with the continuously varying elastic modulus between the two dissimilar, homogeneous semi-infinite constituents. For each of the individual loading modes, based on the Fourier integral transform technique, a singular integral equation with a Cauchy kernel is derived in a separate but parallel manner. In the numerical results, the values of corresponding modes of stress intensity factors are illustrated for various combinations of material and geometric parameters of the bonded media in conjunction with the effect of the material nonhomogeneity within the graded interfacial zone.

  • PDF

Stress Intensity Factor for Multi-Layered Material Under Polynomial Anti-Symmetric Loading (멱급수 반대칭하중을 받는 다층재 중앙균열의 응력세기계수)

  • 이강용;김성호;박문복
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.18 no.12
    • /
    • pp.3219-3226
    • /
    • 1994
  • A model is constructed to evaluate the stress intensity factors for a center crack subjected to polynomial anti-symmetric loading in a layered material. A Fredholm integral equation is derived by Fourier integral transform method. The integral equation is numerically analyzed to evaluate the effects of the ratios of shear modulus, Poisson's ratio and crack length to layer thickness as well as the number of layers on the stress intensity factor. The stress intensity factors are approached to constant values as the number of layers increase and decrease as the polynomial power of the loading increase. In case of the E-glass/Epoxy composite, dimensionless stress intensity factor is affected by cracked-resin layer thickness.