• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제10권2호
• /
• pp.103-118
• /
• 2003

We estimate the stable rank of twisted crossed products of $C^{*}-algebras$ by topological Abelian groups. As an application we estimate the stable rank of twisted crossed products of $C^{*}-algebras$ by solvable Lie groups. In particular, we obtain the stable rank estimate of twisted group $C^{*}-algebras$ of solvable Lie groups by the (reduced) dimension and (generalized) rank of groups.

• Communications for Statistical Applications and Methods
• /
• 제9권1호
• /
• pp.101-113
• /
• 2002

In this paper we introduce a new score generating (unction for the rank regression in the linear regression model. The score function compares the $\gamma$'th and s\`th power of the tail probabilities of the underlying probability distribution. We show that the rank estimate asymptotically converges to a multivariate normal. further we derive the asymptotic Pitman relative efficiencies and the most efficient values of $\gamma$ and s under the symmetric distribution such as uniform, normal, cauchy and double exponential distributions and the asymmetric distribution such as exponential and lognormal distributions respectively.

• Kyungpook Mathematical Journal
• /
• 제47권2호
• /
• pp.203-219
• /
• 2007

We estimate the stable rank and connected stable rank of group $C^*$-algebra of certain disconnected solvable Lie groups such as semi-direct products of connected solvable Lie groups by the integers.

• Kyungpook Mathematical Journal
• /
• 제48권2호
• /
• pp.223-232
• /
• 2008

We estimate the real rank of CCR C*-algebras under some assumptions. A applications we determine the real rank of the reduced group C*-algebras of non-compac connected, semi-simple and reductive Lie groups and that of the group C*-algebras of connected nilpotent Lie groups.

• 대한수학회논문집
• /
• 제17권3호
• /
• pp.475-485
• /
• 2002

We estimate the stable rank, connected stable rank and general stable rank of the multiplier algebras of $C^{＊}$-algebras under some conditions and prove that the ranks of them are infinite. Moreover, we show that for any $\sigma$-unital subhomogeneous $C^{＊}$-algebra, its stable rank is equal to that of its multiplier algebra.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제17권4호
• /
• pp.333-340
• /
• 2010

We estimate the real rank of a composition series of closed ideals of a $C^*$-algebra such that its subquotients have continuous trace, which is equivalent to that the $C^*$-algebra is of type I.

• Communications for Statistical Applications and Methods
• /
• 제24권6호
• /
• pp.673-683
• /
• 2017

The least absolute shrinkage and selection operator (LASSO) has been a popular regression estimator with simultaneous variable selection. However, LASSO does not have the oracle property and its robust version is needed in the case of heavy-tailed errors or serious outliers. We propose a robust penalized regression estimator which provide a simultaneous variable selection and estimator. It is based on the rank regression and the non-convex penalty function, the smoothly clipped absolute deviation (SCAD) function which has the oracle property. The proposed method combines the robustness of the rank regression and the oracle property of the SCAD penalty. We develop an efficient algorithm to compute the proposed estimator that includes a SCAD estimate based on the local linear approximation and the tuning parameter of the penalty function. Our estimate can be obtained by the least absolute deviation method. We used an optimal tuning parameter based on the Bayesian information criterion and the cross validation method. Numerical simulation shows that the proposed estimator is robust and effective to analyze contaminated data.

• 한국멀티미디어학회논문지
• /
• 제12권1호
• /
• pp.26-30
• /
• 2009

본 논문에서는 로버스트 통계학의 순위 추정을 기반으로 하고 순서통계학의 L-추정자를 이용한 적응 순환 최소 순위(RLR) L-필터를 제안한다. 제안한 RLR-L 필터는 비선형 적응알고리즘을 가진 비선형 적응 필터로서 오차의 분산측정을 최소화하는 관점의 최적 필터로 가변적인 스텝 크기를 가지며 적응한다. 제안한 필터는 영상신호와 같은 비정체 신호나 가우시안 잡음 또는 임펄스 잡음과 같은 비선형 채널에 적합하다.

• 한국통신학회논문지
• /
• 제32권12A호
• /
• pp.1296-1302
• /
• 2007

본 논문에서는 MB-OFDM 시스템에 적합한 낮은 복잡도의 채널 및 주파수 옵셋 결합 추정법을 제안한다. 제안된 기법은 적절한 랭크(rank) 수를 적용함으로써 복잡도를 낮추는 Low-rank LMMSE 채널 추정법을 이용하여 채널을 추정하고, 주파수 옵셋 추정을 위해 추정된 채별의 자기상관특성을 이용하는 간단한 구조를 추가함으로써 낮은 복잡도로 채널과 주파수 옵셋을 결합하여 추정하는 기법이다. 제안된 알고리즘을 IEEE 802.15 TG3a에서 제시한 4가지 UWB 채널 모델에서 모의 실험하여 기존의 LS 채널 추정법을 사용한 알고리즘과 성능을 분석하였고, 복잡도를 낮추기 위해 각 채널 모델 환경에 따라 적절한 수의 랭크 수를 적용하여 결과를 비교하였다.

• 전력전자학회논문지
• /
• 제23권1호
• /
• pp.66-71
• /
• 2018

We propose an online parameter estimation method for surface-mounted permanent-magnet synchronous motor (SPMSM) using an affine projection algorithm (APA). The proposed method estimates parameters with two APAs based on the discrete-time model equation of SPMSM during motor operation. The first APA is designed to estimate inductance, and the second APA is designed to estimate resistance and flux linkage. However, in case when the d-axis current is controlled to 0A, the second APA cannot estimate resistance and flux linkage simultaneously because the matrix rank in APA becomes deficient. To overcome this problem, we temporarily inject a negative reference current input to the d-axis control loop, and the matrix in the APA then becomes full rank, which enables the simultaneous estimation of resistance and flux linkage. The proposed method is verified by PSIM simulation and an actual experiment, and the results reveal that SPMSM parameters can be estimated online during motor operation.