• Title/Summary/Keyword: $L_1$ estimation

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Sparse Channel Estimation using weighted $l_1$-minimization (Weighted $l_1$-최소화기법을 이용한 Sparse한 채널 추정 기법)

  • Kwon, Seok-Beop;Ha, Mi-Ri;Shim, Byong-Hyo
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2010.07a
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    • pp.50-52
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    • 2010
  • 통신 시스템의 성능을 향상시키는 핵심 문제 중에 하나인 채널을 추정하는 문제는 다양한 분야에서 연구되고 있다. 채널의 sparse한 특징으로 인해 기존의 linear square나 minimum mean square error보다 발전된 $l_1$-norm minimization 방법 등이 많이 연구되고 있다. 이에 본 논문은 sparse한 채널의 특징과 천천히 변화하는 채널환경 특징을 이용하여 기존의 방법에 비해 더 높은 성능의 채널 추정 기법을 연구한다. 천천히 변화하는 채널환경의 특징으로 인해 이전 채널 정보를 현재 채널 추정에 사용할 수 있고 sparse한 채널의 특징으로 $l_1$-norm minimization을 사용할 수 있다. 이러한 두 가지의 정보를 이용하여 weighted $l_1$-norm minimization 이용한 support detection후 MMSE를 이용한 채널 추정기법을 연구한다.

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Analysis of the Characteristics of NPS Runoff and Application of L-THIA model at Upper Daecheong Reservoir (대청호 상류 유역의 비점오염원 유출특성 분석 및 L-THIA 모형 적용성 평가)

  • Shin, Min-Hwan;Lee, Jae-An;Cheon, Se-Uk;Lee, Yeoul-Jae;Lim, Kyoung-Jae;Choi, Joong-Dae
    • Journal of The Korean Society of Agricultural Engineers
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    • v.52 no.1
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    • pp.1-11
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    • 2010
  • Generation and transportation of runoff and pollutant loads within watershed generated eutrophication at Daecheong reservoir. To improve water quality at Daecheong reservoir, the best management practices should be developed and applied at upper watersheds for water quality improvement at downstream areas. In this study, two small watersheds of upper Daecheong reservoir were selected. The Long-Term Hydrologic Impact Assessment (L-THIA) model has been widely used for the estimation of the direct runoff worldwide. To apply the L-THIA ArcView GIS model was evaluated for direct runoff and water quality estimation at small watershed. And the Web-based Hydrograph Analysis Tool (WHAT) was used for direct runoff separating from total flow. As a result, the $R^2$ (Coefficient of determination) value and Nash-Sutcliffe coefficient value for direct runoff comparison at An-nae watershed were 0.81 and 0.71, respectively. And the $R^2$ value and Nash-Sutcliffe coefficient value at Wol-oe were 0.95 and 0.93. The $R^2$ value of BOD, TOC, T-N and T-P at An-nae watershed were BOD 0.94, TOC 0.81, T-N 0.94 and T-P 0.89. And the $R^2$ value of BOD, TOC, T-N and T-P at Wol-oe watershed were BOD 0.80, TOC 0.93, T-N 0.86 and T-P 0.65. The result that estimated pollutant loadings using the L-THIA ArcView GIS model reflected well the measured pollutant loadings except for T-P in Wol-oe watershed. With L-THIA ArcView GIS model, the direct runoff and non-point pollutant (NPS) loadings in the watershed could be analyzed through simple input data such as daily rainfall, land uses, and hydrologic soil group.

Estimation of Design Flood by the Determination of Best Fitting Order for LH-Moments (LH-모멘트의 차수에 따른 설계홍수량 추정)

  • Maeng, Sung-Jin;Lee, Soon-Hyuk
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2002.10a
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    • pp.233-236
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    • 2002
  • This study was conducted to estimate the design flood by the determination of best fitting order for LH-moments of the annual maximum series at fifteen watersheds. Parameters of GEV distribution and flood flows of return period n years were derived by the methods of L, L1, L2, L3 and L4-moments. Frequency analysis of flood flow data generated by Monte Carlo simulation was performed by the methods of L, L1, L2, L3 and L4-moments using GEV distribution. Relative Root Mean Square Error (RRMSE), Relative Bias (RBIAS) and Relative Efficiency (RE) using methods of L, L1, L2, L3 and L4-moments for GEV distribution were computed and compared with those resulting from Monte Carlo simulation. At almost all of the watersheds, the more the order of LH-moments and the return periods increased, the more RE became, while the less RRMSE and RBIAS became. Consequently, design floods for the applied watersheds were derived by the methods of L3 and L4-moments among LH-moments in view of high confidence efficiency.

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Maximum likelihood estimation in multivariate structural model (다변량구조모형에서 최대우도추정)

  • 김기영
    • The Korean Journal of Applied Statistics
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    • v.1 no.1
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    • pp.39-44
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    • 1987
  • For obtaining the m.l.e. of $\Sigma$ from p-variate Non-singular Normal parent, $N_p(\mu, \Sigma)$, Andersous' Procedure based on the invariance property of the m.l.e. seems to be generally Preferred in the view of its simplicity. This paper shows that his approach with respect to $\Sigma^{-1}$ rather than $\Sigma$ itself, he burther applicable to deriving the m.l.e. of parametersinvolved in the common factor model an dsimplex model as well.

Toxicity Estimation of Nonionic Surfactants and Their Effect on the Biodegradation of Polycyclic Aromatic Hydrocarbons (PAHs) (비이온계 계면활성제의 독성 평가 및 Polycyclic Aromatic Hydrocarbons(PAHs) 생분해에 미치는 영향)

  • Park, Jong-Sup;Kim, In S.;Choi, Heechul
    • Journal of Korean Society of Environmental Engineers
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    • v.22 no.12
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    • pp.2107-2113
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    • 2000
  • Toxicity estimation of three nonionic surfactants (Brij 30, Tween 80, Triton X-lOO) and their effect on the biodegradation of polycyclic aromatic hydrocarbons (PAHs) in the aqueous phase and soil slurry phase were investigated. Brij 30 was found to be the most biodegradable among the surfactants tested, and showed no substrate inhibition up to a concentration of 1.5 g/L. It was definitely utilized as a carbon source by the microorganisms. Naphthalene and phenanthrene in the aqueous phase were completely degraded by phenanthrene-acclimated cultures within 60 hours, but a substantial amount of naphthalene was lost due to the volatilization. The limiting step in the soil slurry bioremediation was bioavailablity by the microorganisms in the sand slurry and mass transfer from a solid to aqueous phase in the clay slurry. TOC analysis revealed that most of substrates including surfactant in the reactor were degraded. pH transition indicated that phenanthrene was metabolized into intermediates containing acid function.

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Adaptive M-estimation in Regression Model

  • Han, Sang-Moon
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.859-871
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    • 2003
  • In this paper we introduce some adaptive M-estimators using selector statistics to estimate the slope of regression model under the symmetric and continuous underlying error distributions. This selector statistics is based on the residuals after the preliminary fit L$_1$ (least absolute estimator) and the idea of Hogg(1983) and Hogg et. al. (1988) who used averages of some order statistics to discriminate underlying symmetric distributions in the location model. If we use L$_1$ as a preliminary fit to get residuals, we find the asymptotic distribution of sample quantiles of residual are slightly different from that of sample quantiles in the location model. If we use the functions of sample quantiles of residuals as selector statistics, we find the suitable quantile points of residual based on maximizing the asymptotic distance index to discriminate distributions under consideration. In Monte Carlo study, this adaptive M-estimation method using selector statistics works pretty good in wide range of underlying error distributions.

RAINFALL ESTIMATION OVER THE TAIWAN ISLAND FROM TRMM/TMI DATA DURING THE TYPHOON SEASON

  • Chen, W-J;Tsai, M-D;Wang, J-L;Liu, G-R;Hu, J-C;Li, C-C
    • Proceedings of the KSRS Conference
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    • v.2
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    • pp.930-933
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    • 2006
  • A new algorithm for satellite microwave rainfall retrievals over the land of Taiwan using TMI (TRMM Microwave Imager) data on board TRMM (Tropical Rainfall Measuring Mission) satellite is described in this study. The scattering index method (Grody, 1991) was accepted to develop a rainfall estimation algorithm and the measurements from Automatic Rainfall and Meteorological Telemetry System (ARMTS) were employed to evaluate the satellite rainfall retrievals. Based on the standard products of 2A25 derived from TRMM/PR data, the rainfall areas over Taiwan were divided into convective rainfall area and stratiform rainfall areas with/without bright band. The results of rainfall estimation from the division of rain type are compared with those without the division of rain type. It is shown that the mean rainfall difference for the convective rain type is reduced from -6.2mm/hr to 1.7mm/hr and for the stratiform rain type with bright band is decreased from 10.7 mm/hr to 2.1mm/hr. But it seems not significant improvement for the stratiform rain type without bright band.

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An Estimation of Discharge Coefficient Considering the Geometrical Shape of Broad Crested Side Weir (광정횡월류위어의 기하학적 형상을 고려한 유량계수 산정)

  • Cho, Hong-Je;Kang, Ho-Seon
    • Journal of Korea Water Resources Association
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    • v.44 no.12
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    • pp.955-965
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    • 2011
  • The flow characteristics of rectangular and 1 : 1 and 1 : 2 trapezoidal weirs were investigated through hydraulic experiments in order calculate the exact overflow discharge of the broad-crested side weir. The flow was found to be most stable in trapezoidal shapes with the lowest incline. The 1 : 1 and 1 : 2 trapezoidal weirs had 5.67% and 8.57% increases, respectively, compared to the rectangular weir in terms of overflow amount, which suggests that they are more effective in preventing flood. An integrated discharge coefficient equation taking into account the discharge coefficient equation and shapes was proposed through a multiple linear regression analysis with an addition of a new parameter for the side wear, $L/L_H$, to the conventional discharge coefficient equation. Also, the applicability of the newly proposed discharge coefficient equation was reviewed by comparing the measured and calculated overflow amounts based on the experimental data of preceding researches and existing researchers and the research data of this study.

A Fast Motion Estimation Scheme using Spatial and Temporal Characteristics (시공간 특성을 이용한 고속 움직임 백터 예측 방법)

  • 노대영;장호연;오승준;석민수
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.40 no.4
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    • pp.237-247
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    • 2003
  • The Motion Estimation (ME) process is an important part of a video encoding systems since they can significantly reduce bitrate with keeping the output quality of an encoded sequence. Unfortunately this process may dominate the encoding time using straightforward full search algorithm (FS). Up to now, many fast algorithms can reduce the computation complexity by limiting the number of searching locations. This is accomplished at the expense of less accuracy of motion estimation. In this paper, we introduce a new fast motion estimation method based on the spatio-temporal correlation of adjacent blocks. A reliable predicted motion vector (RPMV) is defined. The reliability of RPMV is shown on the basis of motion vectors achieved by FS. The scalar and the direction of RPMV are used in our proposed scheme. The experimental results show that the proposed method Is about l1~14% faster than the nearest neighbor method which is a wellknown conventional fast scheme.

Time delay estimation between two receivers using weighted dictionary method for active sonar (능동소나를 위한 가중 딕션너리를 사용한 두 수신기 간 신호 지연 추정 방법)

  • Lim, Jun-Seok;Kim, Seongil
    • The Journal of the Acoustical Society of Korea
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    • v.40 no.5
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    • pp.460-465
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    • 2021
  • In active sonar, time delay estimation is used to find the distance between the target and the sonar. Among the time delay estimation methods for active sonar, estimation in the frequency domain is widely used. When estimating in the frequency domain, the time delay can be thought of as a frequency estimator, so it can be used relatively easily. However, this method is prone to rapid increase in error due to noise. In this paper, we propose a new method which applies weighted dictionary and sparsity in order to reduce this error increase and we extend it to two receivers to propose an algorithm for estimating the time delay between two receivers. And the case of applying the proposed method and the case of not applying the proposed method including the conventional frequency domain algorithm and Generalized Cross Correlation-Phase transform (GCC-PHAT) in a white noise environment were compared with one another. And we show that the newly proposed method has a performance gain of about 15 dB to about 60 dB compared to other algorithms.