• Title/Summary/Keyword: S-Transform

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GENERALIZATION OF EXTENDED APPELL'S AND LAURICELLA'S HYPERGEOMETRIC FUNCTIONS

  • Khan, N.U.;Ghayasuddin, M.
    • Honam Mathematical Journal
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    • v.37 no.1
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    • pp.113-126
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    • 2015
  • Recently, Liu and Wang generalized Appell's and Lauricella's hypergeometric functions. Motivated by the work of Liu and Wang, the main object of this paper is to present new generalizations of Appell's and Lauricella's hypergeometric functions. Some integral representations, transformation formulae, differential formulae and recurrence relations are obtained for these new generalized Appell's and Lauricella's functions.

SEMIGROUP OF LIPSCHITZ OPERATORS

  • Lee, Young S.
    • Korean Journal of Mathematics
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    • v.14 no.2
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    • pp.273-280
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    • 2006
  • Lipschitzian semigroup is a semigroup of Lipschitz operators which contains $C_0$ semigroup and nonlinear semigroup. In this paper, we establish the cannonical exponential formula of Lipschitzian semigroup from its Lie generator and the approximation theorem by Laplace transform approach to Lipschitzian semigroup.

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A Note on Central Limit Theorem for Deconvolution Wavelet Density Estimators

  • Lee, Sungho
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.241-248
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    • 2002
  • The problem of wavelet density estimation based on Shannon's wavelets is studied when the sample observations are contaminated with random noise. In this paper we will discuss the asymptotic normality for deconvolving wavelet density estimator of the unknown density f(x) when courier transform of random noise has polynomial descent.

A Portmanteau Test Based on the Discrete Cosine Transform (이산코사인변환을 기반으로 한 포트맨토 검정)

  • Oh, Sung-Un;Cho, Hye-Min;Yeo, In-Kwon
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.323-332
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    • 2007
  • We present a new type of portmanteau test in the frequency domain which is derived from the discrete cosine transform(DCT). For the stationary time series, DCT coefficients are asymptotically independent and their variances are expressed by linear combinations of autocovariances. The covariance matrix of DCT coefficients for white noises is diagonal matrix whose diagonal elements is the variance of time series. A simple way to test the independence of time series is that we divide DCT coefficients into two or three parts and then compare sample variances. We also do this by testing the slope in the linear regression model of which the response variables are absolute values or squares of coefficients. Simulation results show that the proposed tests has much higher powers than Ljung-Box test in most cases of our experiments.

Speckle Noise Reduction of Ultrasonic NDT Using Adaptive Filter in WT Domain (웨이브렛 변환 평면에서 적응 필터를 이용한 초음파 비파괴검사의 스펙클 잡음 감소)

  • Jon, C.W.;Jon, K.S.;Lee, Y.S.;Lee, J.;Kim, D.Y.;Kim, S.H.
    • The Journal of the Acoustical Society of Korea
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    • v.15 no.5
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    • pp.21-29
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    • 1996
  • Industrial equipment, such as power plant, is required to operate reliably, continuously and economically under rather severe conditions of temperature, stress, and enbironment. To test structural integrity and fitness, ultrasonic nondestructive testing is used because of effectiveness and simplicity. In this paper, wavelet transform based least mean square(LMS) algorithm is applied to reduce the influence of the interference occurring between randomly positioned small scatters. The RUN test is performed to check the nonstationarity of the speckle noise signal. The performance of this new approach is compared with that of the time domain LMS algorithm by means of condition numbers, signal-to-noise ratio and 3-D image. As a result, the wavelet transform based LMS algorithm shows better performance than the time domain LMS algorithm in this experiment.

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A Moving Camera Localization using Perspective Transform and Klt Tracking in Sequence Images (순차영상에서 투영변환과 KLT추적을 이용한 이동 카메라의 위치 및 방향 산출)

  • Jang, Hyo-Jong;Cha, Jeong-Hee;Kim, Gye-Young
    • The KIPS Transactions:PartB
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    • v.14B no.3 s.113
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    • pp.163-170
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    • 2007
  • In autonomous navigation of a mobile vehicle or a mobile robot, localization calculated from recognizing its environment is most important factor. Generally, we can determine position and pose of a camera equipped mobile vehicle or mobile robot using INS and GPS but, in this case, we must use enough known ground landmark for accurate localization. hi contrast with homography method to calculate position and pose of a camera by only using the relation of two dimensional feature point between two frames, in this paper, we propose a method to calculate the position and the pose of a camera using relation between the location to predict through perspective transform of 3D feature points obtained by overlaying 3D model with previous frame using GPS and INS input and the location of corresponding feature point calculated using KLT tracking method in current frame. For the purpose of the performance evaluation, we use wireless-controlled vehicle mounted CCD camera, GPS and INS, and performed the test to calculate the location and the rotation angle of the camera with the video sequence stream obtained at 15Hz frame rate.