• Title, Summary, Keyword: QR-dimension

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SOME CURVATURE CONDITIONS OF n-DIMENSIONAL QR-SUBMANIFOLDS OF (p-1) QR-DIMENSION IN A QUATERNIONIC PROJECTIVE SPACE QP(n+p)/4

  • Pak, Jin-Suk;Sohn, Won-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.4
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    • pp.613-631
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    • 2003
  • The purpose of this paper is to study n-dimensional QR-submanifolds of (p - 1) QR-dimension in a quaternionic projective space $QP^{(n+p)/4}$ and especially to determine such submanifolds under the curvature conditions appeared in (5.1) and (5.2).

REAL n-DIMENSIONAL QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IMMERSED IN QP(n+p)/4

  • Kim, Hyang-Sook;Kwon, Jung-Hwan;Pak, Jin-Suk
    • Communications of the Korean Mathematical Society
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    • v.24 no.1
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    • pp.111-125
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    • 2009
  • The purpose of this paper is to study n-dimensional QR-submanifolds of (p-1) QR-dimension immersed in a quaternionic projective space $QP^{(n+p)/4}$ of constant Q-sectional curvature 4 and especially to determine such submanifolds under the additional condition concerning with shape operator.

CERTAIN CLASS OF QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IN QUATERNIONIC SPACE FORM

  • Kim, Hyang Sook;Pak, Jin Suk
    • Honam Mathematical Journal
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    • v.35 no.2
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    • pp.147-161
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    • 2013
  • In this paper we determine certain class of $n$-dimensional QR-submanifolds of maximal QR-dimension isometrically immersed in a quaternionic space form, that is, a quaternionic K$\ddot{a}$hler manifold of constant Q-sectional curvature under the conditions (3.1) concerning with the second fundamental form and the induced almost contact 3-structure.

QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IN QUATERNIONIC PROJECTIVE SPACE

  • Kim, Hyang-Sook;Pak, Jin-Suk
    • Journal of the Korean Mathematical Society
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    • v.42 no.4
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    • pp.655-672
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    • 2005
  • The purpose of this paper is to study n-dimensional QR-submanifolds of maximal QR-dimension isometrically immersed in a quaternionic projective space and to give sufficient conditions in order for such a submanifold to be a tube over a quaternionic invariant submanifold.

A Low-complexity Mixed QR Decomposition Architecture for MIMO Detector (MIMO 검출기에 적용 가능한 저 복잡도 복합 QR 분해 구조)

  • Shin, Dongyeob;Kim, Chulwoo;Park, Jongsun
    • Journal of IKEEE
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    • v.18 no.1
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    • pp.165-171
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    • 2014
  • This paper presents a low complexity QR decomposition (QRD) architecture for MIMO detector. In the proposed approach, various CORDIC-based QRD algorithms are efficiently combined together to reduce the computational complexity of the QRD hardware. Based on the computational complexity analysis on various QRD algorithms, a low complexity approach is selected at each stage of QRD process. The proposed QRD architecture can be applied to any arbitrary dimension of channel matrix, and the complexity reduction grows with the increasing matrix dimension. Our QR decomposition hardware was implemented using Samsung $0.13{\mu}m$ technology. The numerical results show that the proposed architecture achieves 47% increase in the QAR (QRD Rate/Gate count) with 28.1% power savings over the conventional Householder CORDIC-based architecture for the $4{\times}4$ matrix decomposition.

Efficient dimension reduction using QR-decomposition and its application to text categorization (QR-분해를 이용한 효율적인 차원 감소 방법과 문서 분류에의 응용)

  • Lee Moon-Hwi;Park Cheong-Hee
    • Proceedings of the Korean Information Science Society Conference
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    • pp.358-360
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    • 2006
  • LDA는 그룹간 간격을 최대화하고 그룹내 분산을 최소화하는 선형변환을 구함으로써 차원 감소된 공간에서 분별력(classification performance)을 높이는 선형 차원 감소 방법이다. 본 논문에서는 저샘플 문제(undersampled problem)에서 LDA를 적용할 수 있도록 QR-분해를 이용한 효율적인 차원 감소 방법을 제안한다. 특히 제안되는 방법은 문서 분류 문제에서처럼 한 문서가 몇 개의 카테고리에 중복적으로 속하는 경우 등 데이터의 독립성이 보장되지 않는 경우에도 효과적으로 적용될 수 있다는 장점이 있다.

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Low Complexity Channel Preprocessor for Multiple Antenna Communication Systems (다중 안테나 통신 시스템을 위한 저복잡도 채널 전처리 프로세서)

  • Hwang, You-Sun;Jang, Soo-Hyun;Han, Chul-Hee;Choi, Sung-Nam;Jung, Yun-Ho
    • Journal of Advanced Navigation Technology
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    • v.15 no.2
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    • pp.213-220
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    • 2011
  • In this paper, the channel preprocessor with an area-efficient architecture is proposed for the MIMO symbol detector which can support four transmit and receive antennas. The proposed channel preprocessor can shrink the channel dimension to reduce the hardware complexity of the MIMO symbol detector. Also, the proposed channel preprocessor is implemented with very low complexity by using QR decomposition (QRD) and log-number system (LNS). By applying QRD and LNS to the nulling matrix calculation block, the numbers of matrix-multiplications and matrix-divisions are decreased and thus the complexity of the proposed channel preprocessor is significantly reduced. The proposed channel preprocessor was designed in a hardware description language (HDL) and synthesized to gate-level circuits using 0.13um CMOS standard cell library. With the proposed channel preprocessor, the number of logic gates for channel preprocessor is reduced by 20.2% compared with the conventional architecture.

An Empirical Study on the Quality Attributes of Museum Service by ICT: Comparisons of South Korea and Austria (KANO모델을 활용한 박물관 ICT 서비스 품질 속성에 관한 실증연구: 한국-오스트리아 비교)

  • Lee, ChoHee;Kim, SangWook
    • Journal of the Korea Industrial Information Systems Research
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    • v.24 no.1
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    • pp.65-79
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    • 2019
  • Museum management has been centered on curated exhibitions. Today, however, visitor-tailored exhibitions are all the rage, and various ICT-based services such as museum app's and exhibition explanation through QR code are being provided. To this trend, research on museum services using smartphones and SNS has been conducted. But there have been few studies of technical influence on the museum service satisfaction factors. This study, therefore, attempted to identify and classify the satisfaction factors of museum services with Kano model which explains service quality attributes. Samples from South Korea and Austria were analyzed There was a significant gap in quality factors according to cultural differences and a notable difference in perceived quality even for the factors in the same dimension. It implies that cultural differences need to be taken into account for the priority of museum services.