• Title/Summary/Keyword: mean-square error

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GENERAL FAMILIES OF CHAIN RATIO TYPE ESTIMATORS OF THE POPULATION MEAN WITH KNOWN COEFFICIENT OF VARIATION OF THE SECOND AUXILIARY VARIABLE IN TWO PHASE SAMPLING

  • Singh Housila P.;Singh Sarjinder;Kim, Jong-Min
    • Journal of the Korean Statistical Society
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    • v.35 no.4
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    • pp.377-395
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    • 2006
  • In this paper we have suggested a family of chain estimators of the population mean $\bar{Y}$ of a study variate y using two auxiliary variates in two phase (double) sampling assuming that the coefficient of variation of the second auxiliary variable is known. It is well known that chain estimators are traditionally formulated when the population mean $\bar{X}_1$ of one of the two auxiliary variables, say $x_1$, is not known but the population mean $\bar{X}_2$ of the other auxiliary variate $x_2$ is available and $x_1$ has higher degree of positive correlation with the study variate y than $x_2$ has with y, $x_2$ being closely related to $x_1$. Here the classes are constructed when the population mean $\bar{X}_1\;of\;X_1$ is not known and the coefficient of variation $C_{x2}\;of\;X_2$ is known instead of population mean $\bar{X}_2$. Asymptotic expressions for the bias and mean square error (MSE) of the suggested family have been obtained. An asymptotic optimum estimator (AOE) is also identified with its MSE formula. The optimum sample sizes of the preliminary and final samples have been derived under a linear cost function. An empirical study has been carried out to show the superiority of the constructed estimator over others.

A New Stylization Method using Least-Square Error Minimization on Segmental Pitch Contour (최소 자승오차 방식을 이용한 세그먼트 피치패턴의 정형화)

  • 이정철
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1994.06c
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    • pp.107-110
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    • 1994
  • In this paper, we describe the features of the fundamental frequency contour of Korean read speech, and propose a new stylization method to characterize the Fø pattern of segments. Our algorithm consists of three stylization processes : the segment level, the syllable level, and the sord level. For stylization of Fø contour in the segment level , we applied least square error minimization method to determine Fø values at initial, medial, and final position in a segment. In the syllable level, we determine the stylized Fø pattern of a syllable using the mean Fø value of each word and style information for each word, syllable and segment, we reconstruct Fø contour of sentences. The simulation results show that the error is less than 10% of the actual Fø contour for each sentence. In perception test, there is little difference between the synthesized speech with the original difference between the synthesized speech with the original Fø contour and the synthesized speech with the stylized Fø contour.

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Simulation Performance of WAVE System with Combined DD-CE and LMMSE Smoothing Scheme in Small-Scale Fading Models

  • Seo, Jeong-Wook;Kwak, Jae-Min;Kim, Dong-Ku
    • Journal of information and communication convergence engineering
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    • v.8 no.3
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    • pp.281-288
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    • 2010
  • This paper investigates the performance of IEEE 802.11p wireless access in vehicular environments (WAVE) system in small-scale fading models reported by Georgia Institute of Technology (Georgia Tech). We redesign the small-scale fading models to be applied to the computer simulation and develop the IEEE 802.11p WAVE physical layer simulator to provide the bit error rate and packet error rate performances. Moreover, a new channel estimator using decision directed channel estimation and linear minimum mean square error smoothing is proposed in order to improve the performance of the conventional least square channel estimator using two identical long training symbols. The simulation results are satisfactorily coincident with the scenarios of Georgia Tech report, and the proposed channel estimator significantly outperforms the conventional channel estimator.

Novel LTE based Channel Estimation Scheme for V2V Environment (LTE 기반 V2V 환경에서 새로운 채널 추정 기법)

  • Chu, Myeonghun;Moon, Sangmi;Kwon, Soonho;Lee, Jihye;Bae, Sara;Kim, Hanjong;Kim, Cheolsung;Kim, Daejin;Hwang, Intae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.54 no.3
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    • pp.3-9
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    • 2017
  • Recently, in 3rd Generation Partnership Project(3GPP), there is a study of the Long Term Evolution(LTE) based vehicle communication which has been actively conducted to provide a transport efficiency, telematics and infortainment. Because the vehicle communication is closely related to the safety, it requires a reliable communication. Because vehicle speed is very fast, unlike the movement of the user, radio channel is rapidly changed and generate a number of problems such as transmission quality degradation. Therefore, we have to continuously updates the channel estimates. There are five types of conventional channel estimation scheme. Least Square(LS) is obtained by pilot symbol which is known to transmitter and receiver. Decision Directed Channel Estimation(DDCE) scheme uses the data signal for channel estimation. Constructed Data Pilot(CDP) scheme uses the correlation characteristic between adjacent two data symbols. Spectral Temporal Averaging(STA) scheme uses the frequency-time domain average of the channel. Smoothing scheme reduces the peak error value of data decision. In this paper, we propose the novel channel estimation scheme in LTE based Vehicle-to-Vehicle(V2V) environment. In our Hybrid Reliable Channel Estimation(HRCE) scheme, DDCE and Smoothing schemes are combined and finally the Linear Minimum Mean Square Error(LMMSE) scheme is applied to minimize the channel estimation error. Therefore it is possible to detect the reliable data. In simulation results, overall performance can be improved in terms of Normalized Mean Square Error(NMSE) and Bit Error Rate(BER).

Design of a high-speed DFE Equaliser of blind algorithm using Error Feedback (Error Feedback을 이용한 blind 알고리즘의 고속 DFE Equalizer의 설계)

  • Hong Ju H.;Park Weon H.;Sunwoo Myung H.;Oh Seong K.
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.42 no.8 s.338
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    • pp.17-24
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    • 2005
  • This paper proposes a Decision Feedback Equalizer (DFT) with an error feedback filter for blind channel equalization. The proposed equalizer uses Least Mean Square(LMS) Algorithm and Multi-Modulus Algorithm (MMA), and has been designed for 64/256 QAM constellations. The existing MMA equalizer uses either two transversal filters or feedforward and feedback filers, while the proposed equalizer uses feedforward, feedback and error feedback filters to improve the channel adaptive performance and to reduce the number of taps. The proposed equalizer has been simulated using the $SPW^{TM}$ tool and it shows performance improvement. It has been modeled by VHDL and logic synthesis has been performed using the $0.25\;\mu m$ Faraday CMOS standard cell library. The total number of gates is about 190,000 gates. The proposed equalizer operates at 15 MHz. In addition, FPGA vertification has been performed using FPGA emulation board.

Convergence Characteristics of Compensation Algorithm in Frequency Selective Fading Channel (주파수 선택성 페이딩 채널에서 보상 알고리즘의 수렴특성)

  • Lee, Seung-Dae
    • Journal of the Korea Computer Industry Society
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    • v.8 no.4
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    • pp.263-268
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    • 2007
  • It applied the linear tapped delay line structure to the least mean square algorithm and the recursive least square algorithm it investigated the mean square error characteristics of compensation algorithm. The purpose of this paper is to propose multi-tap update algorithm, which is superior to compensation capacity of data, and then compare and analyze it from the perspective of convergence characteristics at time invariant transmission channel and frequency selective fading channel.

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A study on performance analysis for OFDM wireless LAN systems according to channel and equalizer characteristics (OFDM 방식을 적용한 고속 무선 LAN 시스템의 채널 및 등화기법에 따른 성능분석에 관한 연구)

  • 류은숙;이종길
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.6A
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    • pp.1099-1106
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    • 2001
  • 본 논문에서는 IEEE 802.11a 표준안으로 확정된 OFDM(Orthogonal Frequency Division Multiplexing) 방식을 적용한 고속 무선 LAN의 최적 시스템을 설계하기 위하여 실내 채널 특성들을 분석하였다. 통계적 채널 모델링 및 JTC(Joint Technical Committee) 모델에서의 실내 및 실외 환경을 선택하여 채널에 따른 고속 무선 LAN 시스템을 모의 실험하였다. 또한 채널에 의한 열화를 보상하기 위하여 무선 LAN 표준안에 따른 긴 훈련 신호를 이용한 채널 등화기법인 LS(Least Square) 방식과 LMMSE(Linear Minimum Mean Square Error) 방식을 비교 분석하였다. LS 기법과 본 논문에서 제시한 LS 방식으로 채널의 지연 확산 rms(root mean square) 값을 추정한 후 LMMSE 기법을 사용한 경우의 차이점을 고찰하였다. 이러한 LMMSE 기법을 채택할 경우 LS 기법에 비해 실외환경과 같은 열악한 채널환경 하에서도 시스템 성능에 상당한 개선효과가 나타남을 확인할 수 있었다.

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Alternative robust estimation methods for parameters of Gumbel distribution: an application to wind speed data with outliers

  • Aydin, Demet
    • Wind and Structures
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    • v.26 no.6
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    • pp.383-395
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    • 2018
  • An accurate determination of wind speed distribution is the basis for an evaluation of the wind energy potential required to design a wind turbine, so it is important to estimate unknown parameters of wind speed distribution. In this paper, Gumbel distribution is used in modelling wind speed data, and alternative robust estimation methods to estimate its parameters are considered. The methodologies used to obtain the estimators of the parameters are least absolute deviation, weighted least absolute deviation, median/MAD and least median of squares. The performances of the estimators are compared with traditional estimation methods (i.e., maximum likelihood and least squares) according to bias, mean square deviation and total mean square deviation criteria using a Monte-Carlo simulation study for the data with and without outliers. The simulation results show that least median of squares and median/MAD estimators are more efficient than others for data with outliers in many cases. However, median/MAD estimator is not consistent for location parameter of Gumbel distribution in all cases. In real data application, it is firstly demonstrated that Gumbel distribution fits the daily mean wind speed data well and is also better one to model the data than Weibull distribution with respect to the root mean square error and coefficient of determination criteria. Next, the wind data modified by outliers is analysed to show the performance of the proposed estimators by using numerical and graphical methods.

The Performance of the Image Coding Using a Separating Mean Vector Quantizer (평균치 분리 벡터 양자기를 이용한 영상 코딩의 성능 분석)

  • 김동식;이상욱
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.6
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    • pp.672-679
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    • 1988
  • In this paper, attempts have been made to code images employing a separating mean vector quantizer(SMVQ). Then we analyzed the performance of the SMVQ experimentally as well as analytically. The results of simulation with natural images are presented. But, conclusively the performance of the SMVQ technique is not better than that of the conventional vector quantizer. In this paper, a brief analysis in which we revealed that the performance, based on the mean square error measure, of the SMVQ is not favorable is favorable is discussed.

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Efficient Estimation of Population Mean Using Centered Modified Systematic Sampling and Interpolation

  • Kim, Hyuk-Joo;Choi, Byoung-Chul
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.175-185
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    • 2002
  • A method is proposed for efficiently estimating the mean of a population which has a linear trend. The proposed estimator is based on the centered modified systematic sampling method and the concept of interpolation. Using the expected mean square error criterion, it is shown that the proposed method is more efficient than conventional methods in most real cases.