• Title/Summary/Keyword: MSE(Mean Square Error)

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Optimal designs for small Poisson regression experiments using second-order asymptotic

  • Mansour, S. Mehr;Niaparast, M.
    • Communications for Statistical Applications and Methods
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    • v.26 no.6
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    • pp.527-538
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    • 2019
  • This paper considers the issue of obtaining the optimal design in Poisson regression model when the sample size is small. Poisson regression model is widely used for the analysis of count data. Asymptotic theory provides the basis for making inference on the parameters in this model. However, for small size experiments, asymptotic approximations, such as unbiasedness, may not be valid. Therefore, first, we employ the second order expansion of the bias of the maximum likelihood estimator (MLE) and derive the mean square error (MSE) of MLE to measure the quality of an estimator. We then define DM-optimality criterion, which is based on a function of the MSE. This criterion is applied to obtain locally optimal designs for small size experiments. The effect of sample size on the obtained designs are shown. We also obtain locally DM-optimal designs for some special cases of the model.

Optimum Superimposed Training for Mobile OFDM Systems

  • Yang, Qinghai;Kwak, Kyung-Sup
    • Journal of Communications and Networks
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    • v.11 no.1
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    • pp.42-46
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    • 2009
  • Superimposed training (SIT) design for estimating of time-varying multipath channels is investigated for mobile orthogonal frequency division multiplexing (OFDM) systems. The design of optimum SIT consists of two parts: The optimal SIT sequence is derived by minimizing the channel estimates' mean square error (MSE); the optimal power allocation between training and information data is developed by maximizing the averaged signal to interference plus noise ratio (SINR) under the condition of equal powered paths. The theoretical analysis is verified by simulations. For the metric of the averaged SINR against signal to noise ratio (SNR), the theoretical result matches the simulation result perfectly. In contrast to an interpolated frequency-multiplexing training (FMT) scheme or an SIT scheme with random pilot sequence, the SIT scheme with proposed optimal sequence achieves higher SINR. The analytical solution of the optimal power allocation is demonstrated by the simulation as well.

Noise Reduction Image Processing by the Proposed Nagao Method (영상신호의 노이즈감소 기능 향상을 위한 제안된 Nagao Filter 구현)

  • Kwon, Kee-Hong
    • Journal of the Korea Computer Industry Society
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    • v.8 no.2
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    • pp.81-88
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    • 2007
  • The dissertation which it sees in communication the noise . it will be able to occur confirms the effect which it gives to this videotex and it the Nagao filter it will be able to reduce a noise in one original videotex which is possible and nearly it analyzes the Nagao filter of existing compared to compared to a different divided territory and for the efficiency which restores it sets the filter which is the possibility of reducing the MSE (Mean Square Error) it proposes simulation and the result it leads and the superiority of this method it confirms.

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Performance of Amplitude Comparison Monopulse Radar (진폭비교 모노펄스 레이다의 성능)

  • An, Do-Jin;Lee, Joon-Ho
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.12
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    • pp.969-975
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    • 2018
  • The main function of the tracking radar is to automatically track the target. The amplitude-comparison monopulse radar utilizes a monopulse radar to estimate the angular components of a target. In this paper, the operating performance of the amplitude-comparison monopulse radar is quantitatively analyzed via the MSEs, with considerations on additive noise. The performance of the amplitude comparison monopulse radar can be predicted by comparing it with an approximated estimate.

A Quantizer Reconstruction Level Control Method for Block Artifact Reduction in DCT Image Coding (양자화 재생레벨 조정을 통한 DCT 영상 코오딩에서의 블록화 현상 감소 방법)

  • 김종훈;황찬식;심영석
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.28B no.5
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    • pp.318-326
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    • 1991
  • A Quantizer reconstruction level control method for block artifact reduction in DCT image coding is described. In our scheme, quantizer reconstruction level control is obtained by adding quantization level step size to the optimum quantization level in the direction of reducing the block artifact by minimizing the mean square error(MSE) and error difference(EDF) distribution in boundary without the other additional bits. In simulation results, although the performance in terms of signal to noise ratio is degraded by a little amount, mean square of error difference at block boundary and mean square error having relation block artifact is greatly reduced. Subjective image qualities are improved compared with other block artifact reduction method such as postprocessing by filtering and trasform coding by block overlapping. But the addition calculations of 1-dimensional DCT become to be more necessary to coding process for determining the reconstruction level.

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Interference Cancellation System in Repeater Using Adaptive algorithm with step sizes (스텝사이즈에 따른 적응 알고리즘을 이용한 간섭제거 중계기)

  • Han, Yong-Sik
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.5
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    • pp.549-554
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    • 2014
  • In the paper, we propose a new Signed LMS(Least Mean Square) algorithm for ICS(Interference Cancellation System). The proposed Signed LMS algorithm improved performances by adjusting step size values. At the convergence of 1000 iteration state, the MSE(Mean Square Error) performance of the proposed Signed LMS algorithm with step size of 0.067 is about 3 ~ 18 dB better than the conventional LMS, CMA algorithm. And the proposed Signed LMS algorithm requires 500 ~ 4000 less iterations than the and LMS and CMA algorithms at MSE of -25dB.

Effect of Channel Estimation Error on Capacity of MIMO Systems (MIMO 시스템의 채널 용량에 대한 채널 추정 오차의 영향 분석)

  • 함재상;심세준;이충용;박현철;홍대식
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.41 no.8
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    • pp.63-68
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    • 2004
  • The capacity of MIMO systems is numerically analyzed when channel estimation error exists. The analysis shows that the capacity is influenced by Mean Square Error (MSE) as well as average Signal to Noise Ratio (SNR). Furthermore, in this paper we present the standard selecting a channel estimator suitable to a system owing to get a tolerable channel estimation error in a given average SNR and channel capacity loss. The simulation results show that the tolerable MSEs for 1 bps/Hz capacity loss are about 10$^{-2}$ and 10$^{-4}$ at n dB and 40 dB average SNR, respectively.

Non-negative Unbiased MSE Estimation under Stratified Multi-stage Sampling

  • Kim, Kyuseong
    • Journal of the Korean Statistical Society
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    • v.30 no.4
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    • pp.637-644
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    • 2001
  • We investigated two kinds of mean square error (MSE) estimator of homogeneous linear estimator (HLE) for the population total under stratified multi-stage sampling. One is studied when the second stage variance component is estimable and the other is found in cafe it is not estimable. The proposed estimators are necessary forms of non-negative unbiased MSE estimators of HLE.

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Discovered Pilot Designs in MIMO OFDM System with optimization algorithms

  • JunYoung Son
    • International Journal of Internet, Broadcasting and Communication
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    • v.15 no.4
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    • pp.44-50
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    • 2023
  • For Wi-Fi and IoT wireless systems, high-capacity wireless communication technology is being applied using MIMO OFDM. Because of virtu0al subcarriers in the practical MIMO OFDM system, the pilot subcarriers cannot be spaced equally. Thus, it is difficult to obtain a good mean square error (MSE) performance of the channel estimate. This paper proposes applicable methods and the newly discovered locations of pilot subcarriers in four transmitted antennas resulting in a good MSE performance with proposed optimization algorithms.

Carrier Frequency Offset Estimation Method for Single-Carrier MIMO Systems (단일 반송파 MIMO 시스템 기반의 PN 부호열을 이용한 반송파 주파수 오차 추정 기법)

  • Oh, Jong-Kyu;Kim, Joon-Tae
    • Journal of Broadcast Engineering
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    • v.17 no.5
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    • pp.864-875
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    • 2012
  • In this paper, we propose a carrier frequency offset estimation method for single-carrier MIMO systems. In the proposed method, phase rotated PN (Pseudo-Noise) sequences are transmitted to prevent a cancelling out of partial PN sequences. After removing a modulation of received PN sequences by multiplying of complex conjugated PN Sequences which are locally generated in receiver, a CFO (Carrier Frequency Offset) is accurately estimated by employing L&R method which is a kind of ML (Maximum Likelihood) estimation algorithm and uses multiple auto-correlatos. In addition, the frequency offset estimation scheme by using channel state information is proposed for accurate CFO estimation in time-varying Rayleigh channel. By performing computer simulations, MSE (Mean Square Error) performance of proposed method is almost same as MSE performance of SISO systems in AWGN channel. Moreover, MSE Performance of proposed method with using channel information is higher than MSE performances of SISO system and conventional method in time-varying Rayleigh channel.