• Title/Summary/Keyword: spectral function

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Acoustical Similarity for Small Cooling Fans Revisited (소형 송풍기 소음의 음향학적 상사성에 관한 연구)

  • 김용철;진성훈;이승배
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.04a
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    • pp.196-201
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    • 1995
  • The broadband and discrete sources of sound in small cooling fans of propeller type and centrifugal type were investigated to understand the turbulent vortex structures from many bladed fans using ANSI test plenum for small air-moving devices (AMDs). The noise measurement method uses the plenum as a test apparatus to determine the acoustic source spectral density function at each operating conditions similar to real engineering applications based on acoustic similarity laws. The characteristics of fans including the head rise vs. volumetric flow rate performance were measured using a performance test facility. The sound power spectrum is decomposed into two non-dimensional functions: an acoustic source spectral distribution function F(St,.phi.) and an acoustic system response function G(He,.phi.) where St, He, and .phi. are the Strouhal number, the Helmholtz number, and the volumetric flow rate coefficient, respectively. The autospectra of radiated noise measurements for the fan operating at several volumetric flow rates,.phi., are analyzed using acoustical similarity. The rotating stall in the small propeller fan with a bell-mouth guided is mainly due to a leading edge separation. It creates a blockage in the passage and the reduction in the flow rate. The sound power levels with respect to the rotational speeds were measured to reveal the mechanisms of stall and/or surge for different loading conditions and geometries, for example, fans installed with a impinging plate. Lee and Meecham (1993) studied the effect of the large-scale motions like impinging normally on a flat plate using Large-Eddy Simulation(LES) and Lighthill's analogy.[ASME Winter Annual Meeting 1993, 93-WA/NCA-22]. The dipole and quadrupole sources in the fans tested are shown closely related to the vortex structures involved using cross-correlations of the hot-wire and microphone signals.

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Development of a Fatigue Damage Model of Wideband Process using an Artificial Neural Network (인공 신경망을 이용한 광대역 과정의 피로 손상 모델 개발)

  • Kim, Hosoung;Ahn, In-Gyu;Kim, Yooil
    • Journal of the Society of Naval Architects of Korea
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    • v.52 no.1
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    • pp.88-95
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    • 2015
  • For the frequency-domain spectral fatigue analysis, the probability density function of stress range needs to be estimated based on the stress spectrum only, which is a frequency domain representation of the response. The probability distribution of the stress range of the narrow-band spectrum is known to follow the Rayleigh distribution, however the PDF of wide-band spectrum is difficult to define with clarity due to the complicated fluctuation pattern of spectrum. In this paper, efforts have been made to figure out the links between the probability density function of stress range to the structural response of wide-band Gaussian random process. An artificial neural network scheme, known as one of the most powerful system identification methods, was used to identify the multivariate functional relationship between the idealized wide-band spectrums and resulting probability density functions. To achieve this, the spectrums were idealized as a superposition of two triangles with arbitrary location, height and width, targeting to comprise wide-band spectrum, and the probability density functions were represented by the linear combination of equally spaced Gaussian basis functions. To train the network under supervision, varieties of different wide-band spectrums were assumed and the converged probability density function of the stress range was derived using the rainflow counting method and all these data sets were fed into the three layer perceptron model. This nonlinear least square problem was solved using Levenberg-Marquardt algorithm with regularization term included. It was proven that the network trained using the given data set could reproduce the probability density function of arbitrary wide-band spectrum of two triangles with great success.

Gyro Drift Model Using Structure Function and Effect on Control System Performance (Structure Function을 사용한 Gyro Drift의 등가모델과 제어시스템에 끼치는 영향의 연구)

  • Choi, Hyung-Jin
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.4
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    • pp.1-6
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    • 1989
  • This paper addresses modeling of the gyro drift by using the structure function approach which has been originally developed for characterization of the oscillator phase noise. It is shown that by using this approach, an arbitrary order of random and deterministic gyro drift processes can be characterized and easily measured. The relationship between the drift power spectral density and structure function is clarified. It is also shown that this approach simplifies analysis of the effect of drift on the control system performance.

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A study on the temperature distribution measurement of the high pressure mercury lamp (고압 수은등의 온도분포 측정에 대한 연구)

  • 손승현;김상용;김창섭;지철근
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 1990.10a
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    • pp.35-40
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    • 1990
  • Temperature distribution of high pressure mercury lamp has been mesured as a function of time using spectroscopic method. Sampling signal which is synchronized by lamp voltage was used to mesure temporal line intensity at each radius. To obtain radial temprature distribution, the mesured intensity was transformed into radial line intensity by Abel's formula. Absolute temperature profile was calculater from relative intensities of spectral lines as a function of line and tube radius. The temperature profile is very similar to the electrical tube current profile.

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SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS

  • Mejjaoli, Hatem
    • Korean Journal of Mathematics
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    • v.24 no.4
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    • pp.693-722
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    • 2016
  • In this paper, we characterize the support for the Dunkl transform on the generalized Lebesgue spaces via the Dunkl resolvent function. The behavior of the sequence of $L^p_k$-norms of iterated Dunkl potentials is studied depending on the support of their Dunkl transform. We systematically develop real Paley-Wiener theory for the Dunkl transform on ${\mathbb{R}}^d$ for distributions, in an elementary treatment based on the inversion theorem. Next, we improve the Roe's theorem associated to the Dunkl operators.

STRONG CONSISTENCY FOR AR MODEL WITH MISSING DATA

  • Lee, Myung-Sook
    • Journal of the Korean Mathematical Society
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    • v.41 no.6
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    • pp.1071-1086
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    • 2004
  • This paper is concerned with the strong consistency of the estimators of the autocovariance function and the spectral density function for the autoregressive process in the case where only an amplitude modulated process with missing data is observed. These results will give a simple and practical sufficient condition for the strong consistency of those estimators. Finally, some examples are given to illustrate the application of main result.

Legendre Tau Method for the 2-D Stokes Problem

  • Jun, SeRan;Kang, Sungkwon;Kwon, YongHoon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.2
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    • pp.111-133
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    • 2000
  • A Legendre spectral tau approximation scheme for solving the two-dimensional stationary incompressible Stokes equations is considered. Based on the vorticity-stream function formulation and variational forms, boundary value and normal derivative of vorticity are computed. A factorization technique for matrix stems based on the Schur decomposition is derived. Several numerical experiments are performed.

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A Study on Phase Velocity Measurement using Linear Phase Signal (선형 위상 신호를 이용한 위상속도 측정에 관한 연구)

  • Ko, Duck-Young;Kim, Kae-Kuk;Lee, Jons-Arc
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.51-54
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    • 1988
  • In this paper, Digital signal processing method is deserved by the tissue characteristic quantization. Linear phase velocity is studied using linear signal, and the slope which attenuation characteristics are decreased is analysed according to frequency increase. A more efficient method determining the minimum phase function is developed from the spectral magnitud function.

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The desitgn of autonomic function analysis system by using heart rate variability signal (심박변동신호에 의한 자율신경 기능 해석시스템의 설계)

  • 이명호;정기삼;이정환
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1639-1642
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    • 1997
  • In this paper, the autonomic function analysis system was designed to noninvasively assess the autonomic function of cardiovascular system. Orthostatic stress protocol was designed to stimulate the autonomic nervous system. designed protocol and analysis algorithm were evaluated by experiments for 25 normal subjects and 22 hemiplegia patients. Data were processed by usign the power spectral analysis. Nwe indexes of autonomic function, LF$_{N}$ and HF$_{N}$, were proposed and were compared with LF/HF ratio. New indexes of the sympathetic and parasympathetic activity, respectively. The IST and the DPT are balanced and have positive value for normal subjects during orthostatic stress but not for hempilegia patients. This result suggest that the IST and the DPT are used as new criteria of normal autonomic function during orthostatic stress.ess.

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Development of the Laryngeal Function Identification System Using the Electroglottograph (Electroglottograph를 이용한 후두기능 상태판별 시스템의 개발)

  • Kim, Jong-Myeong;Song, Cheol-Gyu;Lee, Myeong-Ho
    • Journal of Biomedical Engineering Research
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    • v.14 no.4
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    • pp.387-396
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    • 1993
  • In this paper, a laryngeal function identification system based-on the EGG signal is proposed as the decision basis whether the laryngeal function is normal or abnormal. The normal EGG signal is approved an autoregressive model which has the optimal order of 9. It can be analized by determining the transfer function. But it is not meaningful that the determi- nation is made using the transfer function of an autoregressive model on the abnormal EGG signal. The power spectral analysis was applied to discriminate the normal or abnormal cases. The SNR of the EGG signal was enhanced by the optimal position of electrodes.

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