• Title/Summary/Keyword: Bispectrum

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Evoked Potential Estimation using the Iterated Bispectrum and Correlation Analysis (Bispectrum 및 Correlation 을 이용한 뇌유발전위 검출)

  • Han, S.W.;Ahn, C.B.
    • Proceedings of the KOSOMBE Conference
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    • v.1994 no.12
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    • pp.113-116
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    • 1994
  • Estimation of the evoked potential using the iterated bispectrum and cross-correlation (IBC) has been tried for both simulation and real clinical data. Conventional time average (TA) method suffers from synchronization error when the latency time of the evoked potential is random, which results in poor SNR distortion in the estimation of EP waveform. Instead of EP signal average in time domain, bispectrum is used which is insensitive to time delay. The EP signal is recovered by the inverse transform of the Fourier amplitude and phase obtained from the bispectrum. The distribution of the latency time is calculated using cross-correlation between EP signal estimated by the bispectrum and the acquired signal. For the simulation. EEG noise was added to the known EP signal and the EP signal was estimated by both the conventional technique and bispectrum technique. The proposed bispectrum technique estimates EP signal more accurately than the conventional technique with respect to the maximum amplitude of a signal, full width at half maximum(FWHM). signal-to-noise-ratio, and the position of maximum peak. When applied to the real visual evoked potential(VEP) signal. bispectrum technique was able to estimate EP signal more distinctively. The distribution of the latency time may play an important role in medical diagonosis.

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Computer simulation of bispectrum for the application of non-liner system (비선형계의 응용을 위한 Bispectrum의 컴퓨터 시뮬레이션)

  • 오재응;정준회;염성하
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.456-463
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    • 1987
  • 본 논문에서는 파워스펙과 Bispectrum의 차이를 이론적으로 비교 검토하고 파워스펙트럼에서는 알 수 없었던 주파수 성분간의 간섭 및 시스템의 비선형성 등을 컴퓨터 시뮬레이션을 통하여 Bispectrum 해석법의 물리적인 의미와 그 타당성을 규명하고자 한다. 시뮬레이션에 사용한 데이터는 주파수에서 Harmonic Order를 갖는 회전기기의 특성을 기준으로 한다.

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A Study of Rotating Machine Using Bispetrum Analysis Method (Bispectrum 해석법을 이용한 회전기기 이상진단에 관한 연구)

  • 이정철;정준회;오재응
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.15 no.7
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    • pp.581-601
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    • 1990
  • A variety of method to diagnose the fault of rotational mechine is suggested, the latest data. This paper uses Bispectrum which is sort of high order spectrum, diagnose the ball bearing of the rotational machine element. Apprehending the physical meaning of Bispectrum, computer simulation is performed. The result from computer simulation and the signal of the faulted ball bearing is studied from all it's aspects. It is found that the Bispectrum is more effective than the conventional Power Spectrum.

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Iterative Bispectrum Estimation and Signal Recovery Based On Weighted Regularization (가중 정규화에 기반한 반복적 바이스펙트럼 추정과 신호복원)

  • Lim, Won-Bae;Hur, Bong-Soo;Lee, Hak-Moo;Kang, Moon-Gi
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.37 no.3
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    • pp.98-109
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    • 2000
  • While the bispectrum has desirable properties in itself and therefore has a lot of potential to be applied to signal and Image restoration. few real-world application results have appeared in literature The major problem with this IS the difficulty In realizing the expectation operator of the true bispectrum, due to the lack of realizations. In this paper, the true bispectrum is defined as the expectation of the sample bispectrum, which IS the Fourier representation of the triple correlation given one realization The characteristics of the sample bispectrum are analyzed and a way to obtain an estimate of the true bispectrum without stochastic expectation, using the generalized theory of weighted regularization is shown. The bispectrum estimated by the proposed algorithm is experimentally demonstrated to be useful for signal recovery under blurred noisy condition.

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Estimation of the Evoked Potential using Bispectrum with Confidence Thresholding (Bispectrum을 이용한 EP 신호 복원에서의 Wiener process 응용)

  • Park, J.I.;Ahn, C.B.
    • Proceedings of the KOSOMBE Conference
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    • v.1995 no.11
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    • pp.265-268
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    • 1995
  • Signal averaging technique to improve signal-to-noise ratio has widely been used in various fields, especially in electrophysiology. Estimation of the EP(evoked potential) signal using the conventional averaging method fails to correctly reconstruct the original signal under EEG(electroencephalogram) noise especial]y when the latency times of the evoked potential are not identical. Therefore, a technique based on the bispectrum averaging was proposed for recovering signal waveform from a set o noisy signals with variable signal dalay. In this paper an improved bispectrum estimation technique of the RP signal is proposed using a confidence thresholding of the EP signal in frequency domain in which energy distribution of the EP signal is usually not uniform. The suggested technique is coupled with the conventional bispectrum estimation technique such as least square method and recursive method. Some results with simulated data and real EP signal are shown.

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An Improved Parametric Estimation Method of High-Resolution Bispectrum (고해상도의 바이스펙트럼을 추정하기 위한 개선된 매개변수 방법)

  • Park, So-Hyeon;An, Chong-Koo
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.2E
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    • pp.19-24
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    • 1995
  • The maximum entropy method is a well-known parametric estimation method of the power spectrum with high-resolution for short-time signals. Although a parametric estimation method for the bispectrum was proposed in recent years, it is not easy to estimate the bispectrum with high resolution for relatively short-time signals of which the total length is about 1000 data points. In this paper, a bispectrum estimation method is proposed to estimate the high-resolution bispectrum even for the relatively short-time signals.

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Implementation of EEG Artifact Removal Process Based on Bispectrum Analysis (바이스펙트럼 분석 기반의 뇌파 Artifact 제거 프로세스 구현)

  • Park, Junmo
    • Journal of the Institute of Convergence Signal Processing
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    • v.20 no.2
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    • pp.63-69
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    • 2019
  • In this study, bispectrum analysis method introduced to reduce variability of SEF(spectral edge frequency) and MF(median frequency), which are the anesthetic depth indexes extracted by EEG spectral analysis. Bispectrum analysis is an analytical method that can confirm the nonlinearity of EEG. Signal measurement and analysis in the surgical environment should take into consideration various external artifact factors. Bispectrum analysis can confirm the presence of externally introduced artifacts, thereby effectively eliminating artifacts that affect the EEG signal. By applying bispectrum parameters, real-time variability of the anesthetic depth parameters SEF, MF could be reduced. Elimination of variability makes it possible to use SEF, MF as a real-time index during surgery.

A Study on the Analysis of Non linear system using Higher order spectrum (고차스펙트럼을 이용한 비선형 시스템의 해석에 관한 연구)

  • 이민호
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1998.03a
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    • pp.245-250
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    • 1998
  • This thesis is concerned with the development of useful engineering techniques to detect and analyze nonlinearities in mechanical systems. The methods developed are based on the concepts of higher order spectra, in particular the bispectrum and trispectrum, and the Volterra series. The study of higher order statistics has been dominated by work on the bispectrum. The bispectrum can be viewed as a decomposition of the third moment(skewness) of a signal over frequency and as such is blind to symmetric nonlinearities.

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The Optimal Bispectral Feature Vectors and the Fuzzy Classifier for 2D Shape Classification

  • Youngwoon Woo;Soowhan Han;Park, Choong-Shik
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 2001.01a
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    • pp.421-427
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    • 2001
  • In this paper, a method for selection of the optimal feature vectors is proposed for the classification of closed 2D shapes using the bispectrum of a contour sequence. The bispectrum based on third order cumulants is applied to the contour sequences of the images to extract feature vectors for each planar image. These bispectral feature vectors, which are invariant to shape translation, rotation and scale transformation, can be used to represent two-dimensional planar images, but there is no certain criterion on the selection of the feature vectors for optimal classification of closed 2D images. In this paper, a new method for selecting the optimal bispectral feature vectors based on the variances of the feature vectors. The experimental results are presented using eight different shapes of aircraft images, the feature vectors of the bispectrum from five to fifteen and an weighted mean fuzzy classifier.

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Higher Order Spectra and Their Application to Mechanical Systems (I)-Bispectrum and Anlaysis of QPC- (고차스펙트럼의 기계적 시스템 적용 연구, (1) -바이스펙트럼과 2차 위상결합 해석-)

  • 이준서;차경옥
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.7
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    • pp.278-285
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    • 1999
  • This paper is concerned with the development of useful engineering techniques to detect and anlayse nonlinearities in mechanical systems. The methods developed are based on the concepts of higher order spectra. The study of higher order statistics has been dominated by work on the bispectrum. The bispectrum can be viewed as a decomposition of the third moment(skewness) of a quadratic phase coupling(QPC) can be analyzed by bicoherence function. Finally, the application of these techiques to data from actual mechanical systems will be performed insecond report.

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