• Journal of the Korean Mathematical Society
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• v.35 no.3
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• pp.575-581
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• 1998

We are interested in random phenomena that will vary as time goes by, being interfered with by fluctuation. These phenomena are often expressed as functionals of white noise. We therefore discuss the analysis of those functionals, where the white noise is understood as a system of idealized elementary random variables. The system is, in many cases, taken to be the innovation of the given random phenomena. The use of the innovation provides a powerful tool to investigate stochastic processes and random fields in line with white noise analysis.

• Structural Engineering and Mechanics
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• v.59 no.1
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• pp.187-207
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• 2016

Practical ambient excitations of engineering structures usually do not comply with the stationary-white-noise assumption in traditional operational modal analysis methods due to heavy traffic, wind guests, and other disturbances. In order to eliminate spurious modes induced by non-white noise inputs, the improved stochastic subspace identification based on a delay index is proposed in this paper for a representative kind of stationary non-white noise ambient excitations, which have nonzero autocorrelation values near the vertical axis. It relaxes the stationary-white-noise assumption of inputs by avoiding corresponding unqualified elements in the Hankel matrix. Details of the improved stochastic subspace identification algorithms and determination of the delay index are discussed. Numerical simulations on a four-story frame and laboratory vibration experiments on a simply supported beam have demonstrated the accuracy and reliability of the proposed method in eliminating spurious modes under non-white noise ambient excitations.

• 한국HCI학회:학술대회논문집
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• 2009.02a
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• pp.319-323
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• 2009

White noise 가 혼합된 음향은 듣는 사람에게 감성 조절 효과에 대한 보고가 있다. 그러나 White noise 의 어떤 요소가 감성을 조절하는지는 명확하지 않다. 본 연구는 White noise 와 음향을 혼합할 때 마스킹(Masking) 정도에 따른 이완 감성 변화를 밝혀보고자 하였다. White noise 의 마스킹 효과를 다르게 한 2 곡의 음악을 제작하고, 20 대 남녀 40 명을 대상으로 음악을 들려주는 실험을 실시하였다. 음악 효과에 대한 반응인 자율신경계(PPG, GSR, SKT)와 중추신경계(8ch EEG)의 생리신호를 측정하고 음악을 듣기 전후의 주관적 응답을 수집하였다. 음악을 듣지 않았을 때, 원본 음향 들었을 때 그리고 White noise 혼합한 음향을 들었을 때의 반응에 대해 ANOVA(Analysis of Variance)를 실시하였다. 생리신호는 개인간 편차를 고려해 평준화(Normalization) 한 뒤 생리신호 변화 패턴에 따라 분석하였다. 결과적으로, 주관적 응답과 생리신호 모두 White noise 의 마스킹 효과를 작게한 음향에서 이완의 정도가 더 큰 것을 확인하였다. 따라서 White noise 와 원본 음향간에 마스킹 효과가 작은 음향일수록 White noise 의 혼합으로 인한 이완효과가 큰 것을 확인할 수 있었다.

• Structural Engineering and Mechanics
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• v.28 no.4
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• pp.373-386
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• 2008

In this study stochastic analysis of non-linear dynamical systems under ${\alpha}$-stable, multiplicative white noise has been conducted. The analysis has dealt with a special class of ${\alpha}$-stable stochastic processes namely sub-Gaussian white noises. In this setting the governing equation either of the probability density function or of the characteristic function of the dynamical response may be obtained considering the dynamical system forced by a Gaussian white noise with an uncertain factor with ${\alpha}/2$- stable distribution. This consideration yields the probability density function or the characteristic function of the response by means of a simple integral involving the probability density function of the system under Gaussian white noise and the probability density function of the ${\alpha}/2$-stable random parameter. Some numerical applications have been reported assessing the reliability of the proposed formulation. Moreover a proper way to perform digital simulation of the sub-Gaussian ${\alpha}$-stable random process preventing dynamical systems from numerical overflows has been reported and discussed in detail.

• Honam Mathematical Journal
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• v.20 no.1
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• pp.97-109
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• 1998

We first obtain the white noise calculus to the computation of Feynman integral for a generalized function, according to the definition of Feynman integrals by T. Hida and L. Streit. We next give the translation theorem for Feynman integral of a generalized function.

• Journal of the Korean Mathematical Society
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• v.33 no.4
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• pp.993-1008
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• 1996

The white noise analysis, initiated by Hida [3] in 1975, has been developed to an infinite dimensional distribution theory on Gaussian space $(E^*, \mu)$ as an infinite dimensional analogue of Schwartz distribution theory on Euclidean space with Legesgue measure. The mathematical framework of white noise analysis is the Gel'fand triple $(E) \subset (L^2) \subset (E)^*$ over $(E^*, \mu)$ where $\mu$ is the standard Gaussian measure associated with a Gel'fand triple $E \subset H \subset E^*$.

• Journal of Korean Academic Society of Home Health Care Nursing
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• v.24 no.3
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• pp.316-324
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• 2017

Purpose: This study was conducted to investigate the effect of white noise on sleep quality, depression, and stress in college students. Method: This study was designed a randomized controlled design to measure the effect of white noise on college students' sleep quality, depression, and stress. Data collection was conducted from May 15, 2017 to June 5, 2017. The subjects were randomly assigned to 27 college students and 28 control volunteers. Data analysis was done using SPSS 23.0 Windows program. Results: The experimental and control groups were homogeneous in general characteristics and study variables. The white noise group showed statistically significant effects on stress(t=-2.25, p=.015) and sleep quality(t=0.65, p<.001). Conclusion: This study confirms that white noise has a positive effect on stress and sleep of college students. Based on these results, it is expected that further research will be conducted on systematic and differentiated white noise mediation.

• The Journal of the Korea Contents Association
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• v.17 no.5
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• pp.491-498
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• 2017

This study is to determine the significant effect of white and pink noise on brain. The brain synchronization has been analyzed under the condition of non-noise, white nose and pink noise(male 10, female 10, mean age $23.3{\pm}2.14$). As a result of analysis, pink noise stimulus, alpha, low beta band, and high beta band were significantly decreased than non-noise and white noise. In addition, these brain response pattern significantly increased at frontal lobe and temporal lobe, and dominated on the right hemisphere. This result is considered to be useful of sound design in driving quality of human life on the basis of neuroscience.

• Journal of Korean Society of Steel Construction
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• v.12 no.5 s.48
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• pp.581-593
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• 2000

In this study, vertical dynamic analyses on the suspension bridges under seismic load are developed. Time domain analysis, random vibration analysis, and spectral analysis are formulated theoretically. The random nitration analysis is checked by numerical integration and the mathematical integration with correlation coefficient which include CQC and SRSS method in the conditions of white noise and filtered white noise. Beam, truss and frame elements are used in order to model the suspension bridge. Geometric stiffness due to dead load is considered for cable and tower.

• Journal of the Korean Mathematical Society
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• v.33 no.3
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• pp.541-555
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• 1996

The Fourier transform plays a central role in the theory of distribution on Euclidean spaces. Although Lebesgue measure does not exist in infinite dimensional spaces, the Fourier transform can be introduced in the space $(S)^*$ of generalized white noise functionals. This has been done in the series of paper by H.-H. Kuo [1, 2, 3], [4] and [5]. The Fourier transform $F$ has many properties similar to the finite dimensional case; e.g., the Fourier transform carries coordinate differentiation into multiplication and vice versa. It plays an essential role in the theory of differential equations in infinite dimensional spaces.