• Title/Summary/Keyword: Hibert transform

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Experimental Modal Analysis by Using Hilbert Transform of Signal from Continuous Scanning Laser Vibrometer (연속 스캐닝 레이저 진동계 신호의 Hilbert 변환을 이용한 실험적 모드 해석)

  • Kang, Min-Sig;Chang, Tae-Gyu;Kim, Ho-Sung
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.6
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    • pp.272-277
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    • 2002
  • This paper deals with the vibration deflection shape measurement technique for a sinusoidally excited structure using a continuously scanning laser Doppler vibrometer (CSLV). The CSLV output signal is an amplitude-modulated vibration in which the excitation signal is modulated by the deflection shapes, and thus the deflection shapes of vibration defined along a scan line can be derived by the envelop and the phase information of the CSLV output signal. In this work, a Hilbert transform based approach has been proposed for measurement of deflection shapes. This technique is as simple as the demodulation technique and allows more convenient experimental settings than the Fourier transform approach. The feasibility of the proposed technique is illustrated along with results of experiment.

Orthogonal Integer Transform (직교 정수형 변환)

  • 이종하;곽훈성
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.1
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    • pp.64-71
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    • 1994
  • In this paper, we propose orthogonal integer transform(OIT) with general form. Considering the orthogonality and magnitude value order of the DCT Matrix whose performance is found to be close to that of the KLT, known to be optimal. The proposed OIT matrix is composed of values minimizing Hibert-Schmidt norm among integer values which satisfy the condition of orthogonality and the relative magnitudes of the DCT matrix. Comparing the OIT with the DCT, CMT, and ICT in error characteristics, transform efficiency, and maximum reducible bit, it is shown that the performance of the OIT compares more closely to that of the KLT relative to the performances of the DCT, CMT, and ICT when N=8.

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Calculation and Estimation of Acoustical Length from Ultrasound Signal for Diffraction Tomography (초음파 신호로부터의 음장의 계산 및 평가)

  • Park, Jong-Ho;Park, Jong-Soo
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.2
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    • pp.278-284
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    • 1986
  • There are considerabel interests in the use of acoustical lengths for characterization of scattered data required in diffraction tomography. In this paper, we present two new methods, calculation of acoustical lengths by Hibert transform and estimate on of integrated values on the scan lines from calcualted vales. These techniques offer insight into the acquisition of projection data in diffraction tomography. The validity of the proposed methods has bee confirmed by computer simulation.

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Optimized Integer Cosine Transform (최적화 정수형 여현 변환)

  • 이종하;김혜숙;송인준;곽훈성
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.32B no.9
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    • pp.1207-1214
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    • 1995
  • We present an optimized integer cosine transform(OICT) as an alternative approach to the conventional discrete cosine transform(DCT), and its fast computational algorithm. In the actual implementation of the OICT, we have used the techniques similar to those of the orthogonal integer transform(OIT). The normalization factors are approximated to single one while keeping the reconstruction error at the best tolerable level. By obtaining a single normalization factor, both forward and inverse transform are performed using only the integers. However, there are so many sets of integers that are selected in the above manner, the best OICT matrix obtained through value minimizing the Hibert-Schmidt norm and achieving fast computational algorithm. Using matrix decomposing, a fast algorithm for efficient computation of the order-8 OICT is developed, which is minimized to 20 integer multiplications. This enables us to implement a high performance 2-D DCT processor by replacing the floating point operations by the integer number operations. We have also run the simulation to test the performance of the order-8 OICT with the transform efficiency, maximum reducible bits, and mean square error for the Wiener filter. When the results are compared to those of the DCT and OIT, the OICT has out-performed them all. Furthermore, when the conventional DCT coefficients are reduced to 7-bit as those of the OICT, the resulting reconstructed images were critically impaired losing the orthogonal property of the original DCT. However, the 7-bit OICT maintains a zero mean square reconstruction error.

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Frequency Demodulation Techniques for Detecting Gear Movement (기어의 움직임 검출을 위한 주파수 분석법)

  • 채장범
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.259-263
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    • 1996
  • In diagnosing of mechanical machinery, it is often improtant to get information about the movement inside the machine casing. If the values of internal tities may be derived from the measurement using sensors installed on the external casing, it would be much better in many senses. This paper discusses extracting internal gear movements byfrequencydemodulation from gear meshing force signatures which can be recovered from the vibrations though inverse filter. There are several way in demodulating signals. In this paper, especially, Hibert Transform, Wigner-Ville distribution, and Teager energy operator are examined and compared. Effects of noise on the frequency demodulation methods and the behavior of bandpass filtered noisy signal are discussed using simulated time-varying frequency signals.

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