• Title/Summary/Keyword: Diagonal Matrix

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On the Error Bound of the Approximate Solution of a Nonclassically Damped Linear System under Periodic Excitations

  • Hwang, Jai-Hyuk
    • The Journal of the Acoustical Society of Korea
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    • v.15 no.4E
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    • pp.45-52
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    • 1996
  • One common procedure in the approximate solution of a nonclassically damped linear system is to neglect the off-diagonal elements of the normalized damping matrix. A tight error bound, which can be computed with relative ease, is given for this method of solution. The role that modal coupling plays in the control of error is clarified. If the normalized damping matrix is strongly diagonally dominant, it is shown that adequate frequency separation is not necessary to ensure small errors.

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ROBUST ADAPTIVE CONTROLLER FOR ROBOT MANIPULATOR CONTROL (로보트 매니플레이터를 위한 강인한 제어기 설계에 관한 연구)

  • Ryoo, Kgi-Wung;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.456-461
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    • 1989
  • In this paper, the robust adaptive controller for the accurate position control of the robot manipulator in discribed. The proposed controller has feedforward and feedback terms. To reduced the cumputation time, the inertia matrix is simlipied by diagonal matrix and the centrifugal and Colioris term and gravity term are assumed to be zero. The auxiliary signal is added in the controller. This signal improve convergence time of error. The simulation results show that the proposed method is applied to the real time control.

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Spectral Feature Transformation for Compensation of Microphone Mismatches

  • Jeong, So-Young;Oh, Sang-Hoon;Lee, Soo-Young
    • The Journal of the Acoustical Society of Korea
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    • v.22 no.4E
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    • pp.150-154
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    • 2003
  • The distortion effects of microphones have been analyzed and compensated at mel-frequency feature domain. Unlike popular bias removal algorithms a linear transformation of mel-frequency spectrum is incorporated. Although a diagonal matrix transformation is sufficient for medium-quality microphones, a full-matrix transform is required for low-quality microphones with severe nonlinearity. Proposed compensation algorithms are tested with HTIMIT database, which resulted in about 5 percents improvements in recognition rate over conventional CMS algorithm.

Speaker Identification Using GMM Based on Local Fuzzy PCA (국부 퍼지 클러스터링 PCA를 갖는 GMM을 이용한 화자 식별)

  • Lee, Ki-Yong
    • Speech Sciences
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    • v.10 no.4
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    • pp.159-166
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    • 2003
  • To reduce the high dimensionality required for training of feature vectors in speaker identification, we propose an efficient GMM based on local PCA with Fuzzy clustering. The proposed method firstly partitions the data space into several disjoint clusters by fuzzy clustering, and then performs PCA using the fuzzy covariance matrix in each cluster. Finally, the GMM for speaker is obtained from the transformed feature vectors with reduced dimension in each cluster. Compared to the conventional GMM with diagonal covariance matrix, the proposed method needs less storage and shows faster result, under the same performance.

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Leverage in Regression Models with MA(1) Errors (오차항이 MA(1) 과정을 따르는 회귀모형에서의 Leverage)

  • 이종협
    • Journal of Applied Reliability
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    • v.3 no.2
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    • pp.127-136
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    • 2003
  • This paper investigates the effect of individual observations in regression models with MA(1) errors through the 'hat matrix' It shows that the first observation has the largest hat matrix diagonal component for $\theta$<0 in the regression model with an intercept. This provides additional evidence for retaining the first observation in performing estimation in this setting. When the regression model goes to the origin and the independent variable has a deterministic trend, the last observation has the greatest leverage for │$\theta$│<1 and may have potentially large impact on parameter estimation.

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G-Inverse and SAS IML for Parameter Estimation in General Linear Model (선형 모형에서 모수 추정을 위한 일반화 역행렬 및 SAS IML 이론에 관한 연구)

  • Choi, Kuey-Chung;Kang, Kwan-Joong;Park, Byung-Jun
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.373-385
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    • 2007
  • The solution of the normal equation arising in a general linear model by the least square methods is not unique in general. Conventionally, SAS IML and G-inverse matrices are considered for such problems. In this paper, we provide a systematic solution procedures for SAS IML.

A Study on Multi-Signal DOA Estimation in Fading Channels

  • Lee Kwan-Houng;Song Woo-Young
    • Journal of information and communication convergence engineering
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    • v.3 no.3
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    • pp.115-118
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    • 2005
  • In this study, the proposed algorithm is a correlativity signal in a mobile wireless channel that has estimated the direction of arrival. The proposed algorithm applied the space average method in a MUSIC algorithm. The diagonal matrix of the space average method was changed to inverse the matrix and to obtain a new signal correlation matrix. The existing algorithm was analyzed and compared by applying a proposed signal correlation matrix to estimate the direction of arrival in a MUSIC algorithm. The experiment resulted in a proposed algorithm with a min-norm method resolution at more than $5^{\circ}$. It improved more than $2^{\circ}$ in a MUSIC algorithm.

A𝛼-SPECTRAL EXTREMA OF GRAPHS WITH GIVEN SIZE AND MATCHING NUMBER

  • Xingyu Lei;Shuchao Li;Jianfeng Wang
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.4
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    • pp.873-893
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    • 2023
  • In 2017, Nikiforov proposed the A𝛼-matrix of a graph G. This novel matrix is defined as A𝛼(G) = 𝛼D(G) + (1 - 𝛼)A(G), 𝛼 ∈ [0, 1], where D(G) and A(G) are the degree diagonal matrix and adjacency matrix of G, respectively. Recently, Zhai, Xue and Liu [39] considered the Brualdi-Hoffman-type problem for Q-spectra of graphs with given matching number. As a continuance of it, in this contribution we consider the Brualdi-Hoffman-type problem for A𝛼-spectra of graphs with given matching number. We identify the graphs with given size and matching number having the largest A𝛼-spectral radius for ${\alpha}{\in}[{\frac{1}{2}},1)$.

The Effect of First Observation in Panel Regression Model with Serially Correlated Error Components

  • Song, Seuck-Heun
    • Communications for Statistical Applications and Methods
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    • v.6 no.3
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    • pp.667-676
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    • 1999
  • We investigate the effects of omission of initial observations in each individuals in the panel data regression model when the disturbances follow a serially correlated one way error components. We show that the first transformed observation can have a relative large hat matrix diagonal component and a large influence on parameter estimates when the correlation coefficient is large in absolute value.

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