• Title/Summary/Keyword: 대각 행렬

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Public Key Cryptosystem Based on Jordan Form (Jordan 형식을 이용한 공개키 암호체계)

  • Lee, Hee-Jung
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.15 no.4
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    • pp.101-105
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    • 2005
  • Recently a new public key cryptosystem based on a diagonal matrix has been proposed by Zheng. This system uses eigenvalues as a long-term key and random numbers as session key generators. However, there are a couple of flaws in that system. In this paper, we propose a new algorithm in which those flaws are all fixed. Our scheme is based on modular equations over a composite and uses a matrix of Jordan form. We also analyze the security of it.

UKF Localization of a Mobile Robot in an Indoor Environment and Performance Evaluation (실내 이동로봇의 UKF 위치 추정 및 성능 평가)

  • Han, Jun Hee;Ko, Nak Yong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.4
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    • pp.361-368
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    • 2015
  • This paper reports an unscented Kalman filter approach for localization of a mobile robot in an indoor environment. The method proposes a new model of measurement uncertainty which adjusts the error covariance according to the measured distance. The method also uses non-zero off diagonal values in error covariance matrices of motion uncertainty and measurement uncertainty. The method is tested through experiments in an indoor environment of 100*40 m working space using a differential drive robot which uses Laser range finder as an exteroceptive sensor. The results compare the localization performance of the proposed method with the conventional method which doesn't use adaptive measurement uncertainty model. Also, the experiment verifies the improvement due to non-zero off diagonal elements in covariance matrices. This paper contributes to implementing and evaluating a practical UKF approach for mobile robot localization.

A Portmanteau Test Based on the Discrete Cosine Transform (이산코사인변환을 기반으로 한 포트맨토 검정)

  • Oh, Sung-Un;Cho, Hye-Min;Yeo, In-Kwon
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.323-332
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    • 2007
  • We present a new type of portmanteau test in the frequency domain which is derived from the discrete cosine transform(DCT). For the stationary time series, DCT coefficients are asymptotically independent and their variances are expressed by linear combinations of autocovariances. The covariance matrix of DCT coefficients for white noises is diagonal matrix whose diagonal elements is the variance of time series. A simple way to test the independence of time series is that we divide DCT coefficients into two or three parts and then compare sample variances. We also do this by testing the slope in the linear regression model of which the response variables are absolute values or squares of coefficients. Simulation results show that the proposed tests has much higher powers than Ljung-Box test in most cases of our experiments.

Asymptotic Performance of MIMO-MC-CDMA Systems in Multi-cell Environments (다중셀 환경에서 MIMO-MC-CDMA시스템의 점근적 성능)

  • Kim, Kyeong-Yeon;Ham, Jae-Sang;Lee, Chung-Yong
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.44 no.7 s.361
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    • pp.47-52
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    • 2007
  • This paper analyzes the output signal-to-interference-plus-noise ratio (SINR) for a multiple-input-multiple-output (MIMO) multicarrier code division multiple access (MC-CDMA) system with minium mean square error receivers in multi-cell environments. A previous work in single cell environments is extended into analysis in multi-cell environments. The use of Haar unitary code matrix for asymptotic analysis causes other cell interferences expressed with a diagonal matrix haying different diagonal values. This paper shows that other cell interferences converge to an identity matrix whose gain is expressed by only other cell interference power in mean square sense and finds asymptotic deterministic SINRs for a given other cell interference. Under the assumption that the sum of lognormal fading components is distributed by other lognormal function, we show the comparison between theoretical performances and simulations from the view point of bit error rate and present average throughput performance according to the cell radius.

Numerically Efficient Analysis of a Coaxial-fed Microstrip Patch Antenna (동축선으로 급전되는 마이크로스트립 패치 안테나의 효율적인 수치해석)

  • 이강렬;이영순
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.1
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    • pp.124-135
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    • 2000
  • In this study, a numerically efficient method for the analysis of microstrip structures is considered in conjunction with the use of closed-form spatial Green's functions. As is well-known, the use of the closed-form Green's functions can reduce the evaluation time of impedance matrix elements. However the problematic aspect that in general the evaluation results of diagonal elements of the matrix converge slowly, has been observed. The main cause of the slow convergence has been due to the terms of closed-form Green's functions with small exponent. In other to resolve the problematic aspect, a method of numerical integration based on the change of variable is considered in evaluating matrix elements. The present method is applied for the analysis of a coaxial-fed microstrip antenna. When the present results are compared with the previous results in order to check the validity of the present method, fairly good agreements between them are observed.

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Performance Analysis of UMM-S/OFDM with Multi-level Modulation in the Rayleigh Fading Channel (Rayleigh 페이딩 환경에서 다중레벨 변조방식을 고려한UMM-S/OFDM의 성능분석)

  • Kim, Nam-Soo;Cho, Sung-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.1A
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    • pp.51-56
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    • 2007
  • Unitary matrix modulation (UMM) is investigated in multiple antennas system that is called unitary space-time modulation (USTM). When we consider only diagonal components of UMM with splitting over the coherence bandwidth, the system can obtain frequency diversity in a single antenna system. In Rayleigh fading channel, we compared USTM/OFDM with 2Tx-antenna with UMM-S/OFDM with 1Tx-antenna, conventional multi-level OFDM and UMM-S/OFDM with changing bit rate per Hz. Also, we analyzed SNR for between multi-level modulation STBC/OFDM and multi-level modulation UMM-S/OFDM with changing transmission rate. When it was adaptive multi-level modulation to improve SNR, we did the UMM-S/OFDM system performance analysis of N-ary PSK and M-ary QAM.

A study on modified biorthogonalization method for decreasing a breakdown condition

  • Kim, Sung-Kyung
    • Journal of Korea Society of Industrial Information Systems
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    • v.7 no.5
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    • pp.59-66
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    • 2002
  • Many important scientific and engineering problems require the computation of a small number of eigenvalues for large nonsymmetric matrices. The biorthogonal Lanczos method is one of the methods to solve that problem, but it faces serious breakdown problems. In this paper, we introduce a modified biorthogonal Lanczos method to find a few eigenvalues of a large sparse nonsymmetric matrix. The proposed method generates reduction matrices that are similar to those generated by the standard biorthogonal Lanczos method. We prove that the breakdown conditions of our method are less stringent than the standard method. We then implement the modified biorthogonal Lanczos method on the CRAY machine and discuss the decreased breakdown conditions.

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The Development of Tool for Evaluating Quantitative Independency between FRs in Axiomatic Design (공리적 설계에서 FRs의 상호 독립성을 정량적으로 측정하기 위한 도구의 개발)

  • Kang, Young-Ju;Hwang, Yun-Dong;Cha, Sung-Woon;Jung, Dae-Jin;Moon, Yong-Rak
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.3
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    • pp.122-130
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    • 2001
  • Axiomatic Design is the useful tool for making a good design. In Axiomatic design, the independency is an important property to determine whether the design is good. Until now many designers decide the independency between FRs by their own decision. The way depending on inspiration is simple and fast, but it can not be considered as precise conclusion. Also there are not exact rule that evaluate the quantitative independency between FRs. This thesis will show the way to evaluated the quantitative independency of FRs from the comparison between FRs of more lower levels, and develop more efficient and objective tool in Axiomatic Design.

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A Study on Eigen-properties of a 3-Dim. Resonant Cavity by Krylov-Schur Iteration Method (Krylov-Schur 순환법을 이용한 3-차원 원통구조 도파관의 고유특성 연구)

  • Kim, Yeong Min;Lim, Jong Soo
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.7
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    • pp.142-148
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    • 2014
  • Krylov-Schur iteration method has been applied to the 3-Dim. resonant cavity of a cylindrical form. The vector Helmholtz equation has been analysed for the resonant field strength in homogeneous media by FEM. An eigen-equation has been constructed from element equations basing on tangential edges of the tetrahedra element. This equation made up of two square matrices associated with the curl-curl form of the Helmholtz operator. By performing Krylov-Schur iteration loops on them, Eigen-values and their modes have been determined from the diagonal components of the Schur matrices and its transforming matrices. Eigen-pairs as a result have been revealed visually in the schematic representations. The spectra have been compared with each other to identify the effect of boundary conditions.

Rapid Speaker Adaptation Based on MAPLR with Adaptive Hybrid Priors Estimated from Reference Speakers (참조화자로부터 추정된 적응적 혼성 사전분포를 이용한 MAPLR 고속 화자적응)

  • Song, Young-Rok;Kim, Hyung-Soon
    • The Journal of the Acoustical Society of Korea
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    • v.30 no.6
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    • pp.315-323
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    • 2011
  • This paper proposes two methods of estimating prior distribution to improve the performance of rapid speaker adaptation based on maximum a posteriori linear regression (MAPLR). In general, prior distribution of the transformation matrix used in MAPLR adaptation is estimated from all of the training speakers who are employed to construct the speaker-independent model, and it is applied identically to all new speakers. In this paper, we propose a method in which prior distribution is estimated from a group of reference speakers, selected using adaptation data, so that the acoustic characteristics of the selected reference speakers may be similar to that of the new speaker. Additionally, in MAPLR adaptation with block-diagonal transformation matrix, we propose a method in which the mean matrix and covariance matrix of prior distribution are estimated from two groups of transformation matrices obtained from the same training speakers, respectively. To evaluate the performance of the proposed methods, we examine word accuracy according to the number of adaptation words in the isolated word recognition task. Experimental results show that, for very limited adaptation data, statistically significant performance improvement is obtained in comparison with the conventional MAPLR adaptation.