• Title/Summary/Keyword: upper variance bound

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Source and Relay Precoder Design for MIMO Relay System using Imperfect Channel Information (불완전한 채널 정보를 이용하는 다중 안테나 릴레이 시스템의 소스 및 릴레이 전처리 필터 설계)

  • Park, Won-Woo;Lee, Chung-Yong
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.49 no.2
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    • pp.17-22
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    • 2012
  • This paper deals with a precoder design method when the system has imperfect channel information. When MIMO relay system knows the correlation coefficient between perfect channel and imperfect channel information and the variance of the difference between perfect channel and correlated imperfect channel, source and relay precoders are designed to maximize the upper bound of the channel capacity. Also, we investigate channel capacities of the system using proposed precoder and compare with the optimal value according to the correlation and the variance of error channel by simulations.

Robust Speech Enhancement Using HMM and $H_\infty$ Filter (HMM과 $H_\infty$필터를 이용한 강인한 음성 향상)

  • 이기용;김준일
    • The Journal of the Acoustical Society of Korea
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    • v.23 no.7
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    • pp.540-547
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    • 2004
  • Since speech enhancement algorithms based on Kalman/Wiener filter require a priori knowledge of the noise and have focused on the minimization of the variance of the estimation error between clean and estimated speech signal, small estimation error on the noise statistics may lead to large estimation error. However, H/sub ∞/ filter does not require any assumptions and a priori knowledge of the noise statistics, but searches the best estimated signal among the entire estimated signal by applying least upper bound, consequently it is more robust to the variation of noise statistics than Kalman/Wiener filter. In this paper, we Propose a speech enhancement method using HMM and multi H/sub ∞/ filters. First, HMM parameters are estimated with the training data. Secondly, speech is filtered with multiple number of H/sub ∞/ filters. Finally, the estimation of clean speech is obtained from the sum of the weighted filtered outputs. Experimental results shows about 1dB∼2dB SNR improvement with a slight increment of computation compared with the Kalman filter method.

Approximate Cell Loss Performance in ATM Networks: In Comparison with Exact Results

  • Lee, Hoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.4A
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    • pp.489-495
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    • 2000
  • In this paper we propose an approximate method to estimate the cell loss probability(CLP) due to buffer overflow in ATM networks. The main idea is to relate the buffer capacity with the CLP target in explicit formula by using the approximate upper bound for the tail distribution of a queue. The significance of the proposition lies in the fact that we can obtain the expected CLP by using only the source traffic data represented by mean rate and its variance. To that purpose we consider the problem of estimating the cell loss measures form the statistical viewpoint such that the probability of cell loss due to buffer overflow does not exceed a target value. In obtaining the exact solution we use a typical matrix analytic method for GI/D/1B queue where B is the queue size. Finally, in order to investigate the accuracy of the result, we present both the approximate and exact results of the numerical computation and give some discussion.

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Design of suboptimal robust kalman filter using LMI approach (LMI기법을 이용한 준최적 강인 칼만 필터의 설계)

  • 진승희;윤태성;박진배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1477-1480
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    • 1997
  • This paper is concerned with the design of a suboptimal robust Kalman filter using LMI approach for system models in the state space, which are subjected to parameter uncertainties in both the state and measurement atrices. Under the assumption that augmented system composed of the uncertain system and the state estimation error dynamics should be stable, a Lyapunov inequality is obtained. And from this inequaltiy, the filter design problem can be transformed to the gneric LMI problems i.e., linear objective minimization problem and generalized eigenvalue minimization problem. When applied to uncertain linear system modles, the proposed filter can provide the minimum upper bound of the estimation error variance for all admissible parameter uncertainties.

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Design of Suboptimal Robust Kalman Filter via Linear Matrix Inequality (선형 행렬 부등식을 이용한 준최적 강인 칼만 필터의 설계)

  • Jin, Seung-Hee;Yoon, Tae-Sung;Park, Jin-Bae
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.5
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    • pp.560-570
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    • 1999
  • This paper formulates the suboptimal robust Kalman filtering problem into two coupled Linear Matrix Inequality (LMI) problems by applying Lyapunov theory to the augmented system which is composed of the state equation in the uncertain linear system and the estimation error dynamics. This formulations not only provide the sufficient conditions for the existence of the desired filter, but also construct the suboptimal robust Kalman filter. The proposed filter can guarantee the optimized upper bound of the estimation error variance for uncertain systems with parametric uncertainties in both the state and measurement matrices. In addition, this paper shows how the problem of finding the minimizing solution subject to Quadratic Matrix Inequality (QMI), which cannot be easily transformed into LMI using the usual Schur complement formula, can be successfully modified into a generic LMI problem.

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On the Support of Minimum Mean-Square Error Scalar Quantizers for a Laplacian Source (라플라스 신호원에 대한 최소평균제곱오차 홑 양자기의 지지역에 관하여)

  • Kim, Seong-Min;Na, Sang-Sin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.10C
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    • pp.991-999
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    • 2006
  • This paper shows that the support growth of an optimum (minimum mean square-error) scalar quantizer for a Laplacian density is logarithmic with the number of quantization points. Specifically, it is shown that, for a unit-variance Laplacian density, the ratio of the support-determining threshold of an optimum quantizer to $\frac 3{\sqrt{2}}1n\frac N 2$ converges to 1, as the number of quantization points grows. Also derived is a limiting upper bound that says that the optimum support cannot exceed the logarithmic growth by more than a constant. These results confirm the logarithmic growth of the optimum support that has previously been derived heuristically.

Design of the Well-Conditioned Observer - A Linear Matrix Inequality Approach - (Well-Conditioned 관측기 설계 - A Linear Matrix Inequality Approach -)

  • Jung, Jong-Chul;Huh, Kun-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.5
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    • pp.503-510
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    • 2004
  • In this paper, the well-conditioned observer for a stochastic system is designed so that the observer is less sensitive to the ill-conditioning factors in transient and steady-state observer performance. These factors include not only deterministic uncertainties such as unknown initial estimation error, round-off error, modeling error and sensing bias, but also stochastic uncertainties such as disturbance and sensor noise. In deterministic perspectives, a small value in the L$_{2}$ norm condition number of the observer eigenvector matrix guarantees robust estimation performance to the deterministic uncertainties. In stochastic viewpoints, the estimation variance represents the robustness to the stochastic uncertainties and its upper bound can be minimized by reducing the observer gain and increasing the decay rate. Both deterministic and stochastic issues are considered as a weighted sum with a LMI (Linear Matrix Inequality) formulation. The gain in the well-conditioned observer is optimally chosen by the optimization technique. Simulation examples are given to evaluate the estimation performance of the proposed observer.

Performance Analysis of Full-Duplex Relay Networks with Residual Self-Interference and Crosstalk

  • Liu, Guoling;Feng, Wenjiang;Zhang, Bowei;Ying, Tengda;Lu, Luran
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.10
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    • pp.4957-4976
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    • 2016
  • This paper investigates the error performance of the amplify-and-forward (AF) relaying systems in the context of full-duplex (FD) communication. In addition to the inherent self-interference (SI) due to simultaneous transmission and reception, coexistent FD terminals may cause crosstalk. In this paper, we utilize the information exchange via the crosstalk channel to construct a particular distributed space-time code (DSTC). The residual SI is also considered. Closed-form pairwise error probability (PEP) is first derived. Then we obtain the upper bound of PEP in high transmit power region to provide more insights of diversity and coding gain. The proposed DSTC scheme can attain full cooperative diversity if the variance of SI is not a function of the transmit power. The coding gain can be improved by lengthening the frame and proper power control. Feasibility and efficiency of the proposed DSTC are verified in numerical simulations.

Distributed Alamouti Space Time Block Coding Based On Cooperative Relay System (협동 중계 시스템을 이용한 분산 Alamouti 시공간 블록 부호)

  • Song, Wei;Cho, Kye-Mun;Lee, Moon-Ho
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.46 no.9
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    • pp.16-23
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    • 2009
  • In this paper, we propose a new distributed Alamouti space-time block coding scheme using cooperative relay system composed of one source node, three relay nodes and one destination node. The source node is assumed to be equipped with two antennas which respectively use a 2-beam array to communicate with two nodes selected from the three relay nodes. During the first time slot, the two signals which respectively were transmitted by one antenna at the source, are selected by one relay node, added, amplified, and forwarded to the destination. During the second time slot, the other two relay nodes implement the conjugate and minusconjugate operations to the two received signals, respectively, each in turn is amplified and forwarded to the destination node. This transmission scheme represents a new distributed Alamouti space-time block code that can be constructed at the relay-destination channel. Through an equivalent matrix expression of symbols, we analyze the performance of this proposed space-time block code in terms of the chernoff upper bound pairwise error probability (PEP). In addition, we evaluate the effect of the coefficient $\alpha$ ($0{\leq}{\alpha}{\leq}1$) determined by power allocation between the two antennas at the source on the received signal performance. Through computer simulation, we show that the received signals at the three relays have same variance only when the value of $\alpha$ is equal to $\frac{2}{3}$, as a consequence, a better performance is obtained at the destination. These analysis results show that the proposed scheme outperforms conventional proposed schemes in terms of diversity gain, PEP and the complexity of relay nodes.

Sensitivity Analysis of Parameters for Lade's Double Work-Hardening Model (Lade의 Double Work-Hardening 구성모델의 토질매개변수(土質媒介變數) 민감도(敏感度) 해석(解析))

  • Jeong, Jin Seob;Kim, Chan Kee;Lee, Moon Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.2
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    • pp.191-203
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    • 1992
  • This paper dealt with the statistical values including mean, standard deviation, variance and coefficient of variation for 14 soil parameters available of Lade's double work-hardening model in order to predict the behaviour of granular soil. 27 sets of all 14 parameters for Baekma river sand were determined by regression using raw data acquired from 12 isotropic compression tests and 9 triaxial compression tests with the variation of confining pressure of 1, 2, and $4kg/cm^2$ respectively 3 times performed during this study. The characteristics of each parameters were investigated. By determining the range of the upper and lower bound dependent on the increase and decrease of the standard deviation from mean value of parameters, sensitivity of all the parameters was scrutinized, by which in turn the influence of experimental error generated inevitably during tests on the determination of soil parameters was also examined.

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