• 제목/요약/키워드: generalized Gaussian distribution

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Simple Detection Based on Soft-Limiting for Binary Transmission in a Mixture of Generalized Normal-Laplace Distributed Noise and Gaussian Noise

  • Kim, Sang-Choon
    • ETRI Journal
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    • 제33권6호
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    • pp.949-952
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    • 2011
  • In this letter, a simplified suboptimum receiver based on soft-limiting for the detection of binary antipodal signals in non-Gaussian noise modeled as a generalized normal-Laplace (GNL) distribution combined with Gaussian noise is presented. The suboptimum receiver has low computational complexity. Furthermore, when the number of diversity branches is small, its performance is very close to that of the Neyman-Pearson optimum receiver based on the probability density function obtained by the Fourier inversion of the characteristic function of the GNL-plus-Gaussian distribution.

일반화된 가우시안 분포를 이용한 신호 준공간 기반의 음성검출기법 (Signal Subspace-based Voice Activity Detection Using Generalized Gaussian Distribution)

  • 엄용섭;장준혁;김동국
    • 한국음향학회지
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    • 제32권2호
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    • pp.131-137
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    • 2013
  • 본 논문에서는 신호준공간(signal subspace) 영역에서 통계적 모델을 이용한 향상된 음성검출기법을 제안한다. 이를 위해 EP(Embedded Prewhitening) 기법에 의해 비상관적인 (uncorrelated) 신호준공간을 생성하고, 이 영역에서 잡음음성과 잡음에 대한 통계적 특성을 파악하였다. 이러한 통계적 특성에 근거하여 GGD (Generalized Gaussian Distribution)을 사용하여 보다 효율적인 음성검출 알고리즘을 제안한다. 실험을 통해 제안된 기법이 0-15dB SNR의 시뮬레이션 환경에서 기존 Gaussian을 사용한 신호준공간 기법보다 향상된 음성검출 결과를 보여준다.

Non-Gaussian analysis methods for planing craft motion

  • Somayajula, Abhilash;Falzarano, Jeffrey M.
    • Ocean Systems Engineering
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    • 제4권4호
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    • pp.293-308
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    • 2014
  • Unlike the traditional displacement type vessels, the high speed planing crafts are supported by the lift forces which are highly non-linear. This non-linear phenomenon causes their motions in an irregular seaway to be non-Gaussian. In general, it may not be possible to express the probability distribution of such processes by an analytical formula. Also the process might not be stationary or ergodic in which case the statistical behavior of the motion to be constantly changing with time. Therefore the extreme values of such a process can no longer be calculated using the analytical formulae applicable to Gaussian processes. Since closed form analytical solutions do not exist, recourse is taken to fitting a distribution to the data and estimating the statistical properties of the process from this fitted probability distribution. The peaks over threshold analysis and fitting of the Generalized Pareto Distribution are explored in this paper as an alternative to Weibull, Generalized Gamma and Rayleigh distributions in predicting the short term extreme value of a random process.

Asymptotic Gaussian Structures in a Critical Generalized Curie-Wiss Mean Field Model : Large Deviation Approach

  • Kim, Chi-Yong;Jeon, Jong-Woo
    • Journal of the Korean Statistical Society
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    • 제25권4호
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    • pp.515-527
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    • 1996
  • It has been known for mean field models that the limiting distribution reflecting the asymptotic behavior of the system is non-Gaussian at the critical state. Recently, however, Papangelow showed for the critical Curie-Weiss mean field model that there exist Gaussian structures in the asymptotic behavior of the total magnetization. We construct Gaussian structures existing in the internal fluctuation of the system for the critical case of a generalized Curie-Weiss mean field model.

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Flexible Nonlinear Learning for Source Separation

  • Park, Seung-Jin
    • Journal of KIEE
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    • 제10권1호
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    • pp.7-15
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    • 2000
  • Source separation is a statistical method, the goal of which is to separate the linear instantaneous mixtures of statistically independent sources without resorting to any prior knowledge. This paper addresses a source separation algorithm which is able to separate the mixtures of sub- and super-Gaussian sources. The nonlinear function in the proposed algorithm is derived from the generalized Gaussian distribution that is a set of distributions parameterized by a real positive number (Gaussian exponent). Based on the relationship between the kurtosis and the Gaussian exponent, we present a simple and efficient way of selecting proper nonlinear functions for source separation. Useful behavior of the proposed method is demonstrated by computer simulations.

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Subsidiary Maximum Likelihood Iterative Decoding Based on Extrinsic Information

  • Yang, Fengfan;Le-Ngoc, Tho
    • Journal of Communications and Networks
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    • 제9권1호
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    • pp.1-10
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    • 2007
  • This paper proposes a multimodal generalized Gaussian distribution (MGGD) to effectively model the varying statistical properties of the extrinsic information. A subsidiary maximum likelihood decoding (MLD) algorithm is subsequently developed to dynamically select the most suitable MGGD parameters to be used in the component maximum a posteriori (MAP) decoders at each decoding iteration to derive the more reliable metrics performance enhancement. Simulation results show that, for a wide range of block lengths, the proposed approach can enhance the overall turbo decoding performance for both parallel and serially concatenated codes in additive white Gaussian noise (AWGN), Rician, and Rayleigh fading channels.

The Waveform Model of Laser Altimeter System with Flattened Gaussian Laser

  • Ma, Yue;Wang, Mingwei;Yang, Fanlin;Li, Song
    • Journal of the Optical Society of Korea
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    • 제19권4호
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    • pp.363-370
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    • 2015
  • The current waveform model of a laser altimeter is based on a Gaussian laser beam of fundamental mode, while the flattened Gaussian beam has many advantages such as nearly constant energy distribution on the center of the cross-section. Following the theory of the flattened Gaussian beam and the waveform theory of the laser altimeter, some of the primary parameters of the received waveform were derived, and a laser altimetry waveform simulator and waveform processing software were programmed and improved under the circumstance of a flattened Gaussian beam. The result showed that the bias between theoretical and simulated waveforms was less than 3% for every order mode, the waveform width and range error would increase as target slope or order number rose. Under higher order mode, the shapes of the received waveforms were no longer Gaussian, and could be fitted more precisely as a generalized Gaussian function with power bigger than 2. The flattened beam got much better performance for a multi-surface target, especially when the small surface is far from the center of the laser footprint. This article provides the waveform theoretical basis for the use of a flattened Gaussian beam in a laser altimeter.

비디오 비트율 제어를 위한 적응적 모델 기반의 양자화 변수 결정 방법 (Adaptive Model-Based Quantization Parameter Decision for Video Rate Control)

  • 김선기;호요성
    • 한국통신학회논문지
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    • 제32권4C호
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    • pp.411-417
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    • 2007
  • 비트율 제어는 채널 용량이나 프레임율과 같은 제한 조건에서 더 좋은 화질을 제공하기 위해 비디오 부호화에 있어서 필요한 구성 요소이다. 일반적으로 양자화 변수를 결정할 때 양자화가 수행될 데이터를 단일 분포로 가정하면, 실제 데이터의 분포를 지나치게 간략화하게 되는 문제가 발생할 수 있으며, 이는 이동통신 환경과 같이 전송 대역의 제약이 심한 상황에서 부호화 효율을 떨어뜨리는 원인이 된다. 본 논문에서는 이러한 문제를 해결하기 위해 다양한 소스 분포를 일반화된 가우시안 분포(Generalized Gaussian Distribution)를 이용하여 정의하고, 각각의 분포 특성을 나타내는 모양 변수를 결정하여 일반화된 가우시안 분포의 비트율-왜곡 함수에 기반을 둔 양자화 변수 결정 모델을 설계한다. 본 논문에서 제안한 알고리즘은 저 비트율 환경에서 우수한 성능을 제공하는 비디오 부호화 표준인 H.264 비디오 코덱에 구현하여 MPEG-2 TM5 및 H.263 TMN8과 그 성능을 비교한다.

Estimating Suitable Probability Distribution Function for Multimodal Traffic Distribution Function

  • Yoo, Sang-Lok;Jeong, Jae-Yong;Yim, Jeong-Bin
    • 해양환경안전학회지
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    • 제21권3호
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    • pp.253-258
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    • 2015
  • The purpose of this study is to find suitable probability distribution function of complex distribution data like multimodal. Normal distribution is broadly used to assume probability distribution function. However, complex distribution data like multimodal are very hard to be estimated by using normal distribution function only, and there might be errors when other distribution functions including normal distribution function are used. In this study, we experimented to find fit probability distribution function in multimodal area, by using AIS(Automatic Identification System) observation data gathered in Mokpo port for a year of 2013. By using chi-squared statistic, gaussian mixture model(GMM) is the fittest model rather than other distribution functions, such as extreme value, generalized extreme value, logistic, and normal distribution. GMM was found to the fit model regard to multimodal data of maritime traffic flow distribution. Probability density function for collision probability and traffic flow distribution will be calculated much precisely in the future.

Stochastic analysis of elastic wave and second sound propagation in media with Gaussian uncertainty in mechanical properties using a stochastic hybrid mesh-free method

  • Hosseini, Seyed Mahmoud;Shahabian, Farzad
    • Structural Engineering and Mechanics
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    • 제49권1호
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    • pp.41-64
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    • 2014
  • The main objective of this article is the exploitation of a stochastic hybrid mesh-free method based on stochastic generalized finite difference (SGFD), Newmark finite difference (NFD) methods and Monte Carlo simulation for thermoelastic wave propagation and coupled thermoelasticity analysis based on GN theory (without energy dissipation). A thick hollow cylinder with Gaussian uncertainty in mechanical properties is considered as an analyzed domain for the problem. The effects of uncertainty in mechanical properties with various coefficients of variations on thermo-elastic wave propagation are studied in details. Also, the time histories and distribution on thickness of cylinder of maximum, mean and variance values of temperature and radial displacement are studied for various coefficients of variations (COVs).