• 제목/요약/키워드: Gaussian mean

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Shrinkage Estimator of Dispersion of an Inverse Gaussian Distribution

  • Lee, In-Suk;Park, Young-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.805-809
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    • 2006
  • In this paper a shrinkage estimator for the measure of dispersion of the inverse Gaussian distribution with known mean is proposed. Also we compare the relative bias and relative efficiency of the proposed estimator with respect to minimum variance unbiased estimator.

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A New Convergence Behavior of the Least Mean K-power Adaptive Algorithm

  • Lee, Kang-Seung
    • Proceedings of the IEEK Conference
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    • 2001.09a
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    • pp.915-918
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    • 2001
  • In this paper we study a new convergence behavior of the least mean fourth (LMF) algorithm where the error raised to the power of four is minimized for a multiple sinusoidal input and Gaussian measurement noise. Here we newly obtain the convergence equation for the sum of the mean of the squared weight errors, which indicates that the transient behavior can differ depending on the relative sizes of the Gaussian noise and the convergence constant. It should be noted that no similar results can be expected from the previous analysis by Walach and Widrow.

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A New Convergence Behavior of the Least Mean Fourth Adaptive Algorithm for a Multiple Sinusoidal Input

  • Lee, Kang-Seung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.12A
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    • pp.2043-2049
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    • 2001
  • In this paper we study the convergence behavior of the least mean fourth(LMF) algorithm where the error raised to the power of four is minimized for a multiple sinusoidal input and Gaussian measurement noise. Here we newly obtain the convergence equation for the sum of the mean of the squared weight errors, which indicates that the transient behavior can differ depending on the relative sizes of the Gaussian noise and the convergence constant. It should be noted that no similar results can be expected from the previous analysis by Walach add Widrow.

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A New Result on the Convergence Behavior of the Least Mean Fourth Algorithm for a Multiple Sinusoidal Input

  • Lee, Kang-Seung
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.2E
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    • pp.3-9
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    • 1999
  • In this paper we study the convergence behavior of the least mean fourth(LMF) algorithm where the error raised to the power of four is minimized for a multiple sinusoidal input and Gaussian measurement noise. Here we newly obtain the convergence equation for the sum of the mean of the squared weight errors, which indicates that the transient behavior can differ depending on the relative sizes of the Gaussian noise and the convergence constant. It should be noted that no similar results can be expected from the previous analysis by Walach and Widrow/sup [1]/.

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ERROR BOUNDS FOR SUMPSONS QUADRATURE THROUGH ZERO MEAN GEUSSIAN WITH COVARIANCE

  • Hong, Bum-Il;Choi, Sung-Hee;Hahm, Nahm-Woo
    • Communications of the Korean Mathematical Society
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    • v.16 no.4
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    • pp.691-701
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    • 2001
  • We computed zero mean Gaussian of average error bounds pf Simpsons quadrature with convariances in [2]. In this paper, we compute zero mean Gaussian of average error bounds between Simpsons quadrature and composite Simpsons quadra-ture on four consecutive subintervals. The reason why we compute these on subintervals is because these results enable us to compute a posteriori error bounds on the whole interval in the later paper.

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Maximum-Entropy Image Enhancement Using Brightness Mean and Variance (영상의 밝기 평균과 분산을 이용한 엔트로피 최대화 영상 향상 기법)

  • Yoo, Ji-Hyun;Ohm, Seong-Yong;Chung, Min-Gyo
    • Journal of Internet Computing and Services
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    • v.13 no.3
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    • pp.61-73
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    • 2012
  • This paper proposes a histogram specification based image enhancement method, which uses the brightness mean and variance of an image to maximize the entropy of the image. In our histogram specification step, the Gaussian distribution is used to fit the input histogram as well as produce the target histogram. Specifically, the input histogram is fitted with the Gaussian distribution whose mean and variance are equal to the brightness mean(${\mu}$) and variance(${\sigma}2$) of the input image, respectively; and the target Gaussian distribution also has the mean of the value ${\mu}$, but takes as the variance the value which is determined such that the output image has the maximum entropy. Experimental results show that compared to the existing methods, the proposed method preserves the mean brightness well and generates more natural looking images.

The Modified Mean Filter to Remove AWGN (AWGN 제거를 위한 변형된 평균필터)

  • Gao, Yinyu;Kim, Nam-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.5
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    • pp.1177-1182
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    • 2011
  • The image signals are corrupted by various noises in signal processing and the noises caused the degradation phenomenon. gaussian noise occurs in the process of transmission. Many studies are being accomplished to restore those signals which corrupted by additive gaussian noise. In this paper, the algorithm is proposed to remove AWGN. The algorithm first calculates the mask's standard deviation and next according to the thresholds separated as three levels, then calculates the weight which for different location in the mask's pixels. At last the mean value of the modified mean filter's is the output. Also we compare existing methods through the simulation and using PSNR as the standard of judgement of improvement effect.

Classification of Ruled Surfaces with Non-degenerate Second Fundamental Forms in Lorentz-Minkowski 3-Spaces

  • Jung, Sunmi;Kim, Young Ho;Yoon, Dae Won
    • Kyungpook Mathematical Journal
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    • v.47 no.4
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    • pp.579-593
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    • 2007
  • In this paper, we study some properties of ruled surfaces in a three-dimensional Lorentz-Minkowski space related to their Gaussian curvature, the second Gaussian curvature and the mean curvature. Furthermore, we examine the ruled surfaces in a three-dimensional Lorentz-Minkowski space satisfying the Jacobi condition formed with those curvatures, which are called the II-W and the II-G ruled surfaces and give a classification of such ruled surfaces in a three-dimensional Lorentz-Minkowski space.

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Signal-to-Noise Ratio Formulas of a Scalar Gaussian Quantizer Mismatched to a Laplacian Source

  • Rhee, Ja-Gan;Na, Sang-Sin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.6C
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    • pp.384-390
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    • 2011
  • The paper derives formulas for the mean-squared error distortion and resulting signal-to-noise (SNR) ratio of a fixed-rate scalar quantizer designed optimally in the minimum mean-squared error sense for a Gaussian density with the standard deviation ${\sigma}_q$ when it is mismatched to a Laplacian density with the standard deviation ${\sigma}_q$. The SNR formulas, based on the key parameter and Bennett's integral, are found accurate for a wide range of $p\({\equiv}\frac{\sigma_p}{\sigma_q}\){\geqq}0.25$. Also an upper bound to the SNR is derived, which becomes tighter with increasing rate R and indicates that the SNR behaves asymptotically as $\frac{20\sqrt{3{\ln}2}}{{\rho}{\ln}10}\;{\sqrt{R}}$ dB.

Application of Genetic Algorithm for Large-Scale Multiuser MIMO Detection with Non-Gaussian Noise

  • Ran, Rong
    • Journal of information and communication convergence engineering
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    • v.20 no.2
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    • pp.73-78
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    • 2022
  • Based on experimental measurements conducted on many different practical wireless communication systems, ambient noise has been shown to be decidedly non-Gaussian owing to impulsive phenomena. However, most multiuser detection techniques proposed thus far have considered Gaussian noise only. They may therefore suffer from a considerable performance loss in the presence of impulsive ambient noise. In this paper, we consider a large-scale multiuser multiple-input multiple-output system in the presence of non-Gaussian noise and propose a genetic algorithm (GA) based detector for large-dimensional multiuser signal detection. The proposed algorithm is more robust than linear multi-user detectors for non-Gaussian noise because it uses a multi-directional search to manipulate and maintain a population of potential solutions. Meanwhile, the proposed GA-based algorithm has a comparable complexity because it does not require any complicated computations (e.g., a matrix inverse or derivation). The simulation results show that the GA offers a performance gain over the linear minimum mean square error algorithm for both non-Gaussian and Gaussian noise.