• 제목/요약/키워드: orthogonal basis

검색결과 144건 처리시간 0.021초

A NOTE ON WITT RINGS OF 2-FOLD FULL RINGS

  • Cho, In-Ho;Kim, Jae-Gyeom
    • 대한수학회보
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    • 제22권2호
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    • pp.121-126
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    • 1985
  • D.K. Harrison [5] has shown that if R and S are fields of characteristic different from 2, then two Witt rings W(R) and W(S) are isomorphic if and only if W(R)/I(R)$^{3}$ and W(S)/I(S)$^{3}$ are isomorphic where I(R) and I(S) denote the fundamental ideals of W(R) and W(S) respectively. In [1], J.K. Arason and A. Pfister proved a corresponding result when the characteristics of R and S are 2, and, in [9], K.I. Mandelberg proved the result when R and S are commutative semi-local rings having 2 a unit. In this paper, we prove the result when R and S are 2-fold full rings. Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is nondegenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$ (V, R) induced by B is an isomorphism), and with a quadratic mapping .phi.:V.rarw.R such that B(x,y)=(.phi.(x+y)-.phi.(x)-.phi.(y))/2 and .phi.(rx)= $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U(R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$, .., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2, we reserve the notation [ $a_{11}$, $a_{22}$] for the space.the space.e.e.e.

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ESPAR 안테나에서 M×M MIMO 송신방식의 설계와 성능 평가 (Design and Performance Evaluation of M×M MIMO Transmission in ESPAR Antenna)

  • 복준영;이승환;유흥균
    • 한국통신학회논문지
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    • 제38A권12호
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    • pp.1061-1068
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    • 2013
  • 본 논문에서는 ESPAR(Electronically Steerable Parasitic Array Radiator) 안테나를 이용한 $M{\times}M$ BS-MIMO(beam space multiple input multiple output) 시스템을 제안한다. 기존 MIMO 시스템은 전송 데이터 신호를 다수의 안테나에 맵핑시켜 전송하기 때문에 다수의 RF 체인이 필요한 문제점이 있다. 다수의 RF 체인은 하드웨어의 비용을 및 RF 회로의 전력 소모를 증가 시킨다. 또한, 휴대폰과 같이 공간적인 제약이 큰 모바일 장비에서 MIMO 시스템을 사용하기 어렵다. 이러한 문제를 해결하기 위해서 단일 RF 체인을 가지는 ESPAR 안테나를 사용하여 빔 공간에서 신호를 맵핑시키는 BS-MIMO 시스템이 제안되었다. 본 논문에서는 BS-MIMO 시스템 기법에 대해서 설명하고 이를 확장한 $M{\times}M$ BS-MIMO 전송 기법의 설계 및 성능을 분석한다. 컴퓨터 모의실험을 통한 성능 확인 결과 제안된 BS-MIMO 전송기법은 기존 MIMO 기법과 비교하여 거의 동일한 수신 BER 성능을 얻는다. 따라서 다수의 RF 체인을 가지는 기존 MIMO 시스템과 비교하여 BS-MIMO 시스템은 단일 RF 체인을 가지고 MIMO 전송이 가능하며, 이로 인해서 하드웨어 비용 및 RF 회로의 전력 소모를 획기적으로 줄일 것으로 예상된다.

The impact of successive earthquakes on the seismic damage of multistorey 3D R/C buildings

  • Kostinakis, Konstantinos;Morfidis, Konstantinos
    • Earthquakes and Structures
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    • 제12권1호
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    • pp.1-12
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    • 2017
  • Historical earthquakes have shown that successive seismic events may occur in regions of high seismicity. Such a sequence of earthquakes has the potential to increase the damage level of the structures, since any rehabilitation between the successive ground motions is practically impossible due to lack of time. Few studies about this issue can be found in literature, most of which focused their attention on the seismic response of SDOF systems or planar frame structures. The aim of the present study is to examine the impact of seismic sequences on the damage level of 3D multistorey R/C buildings with various structural systems. For the purposes of the above investigation a comprehensive assessment is conducted using three double-symmetric and three asymmetric in plan medium-rise R/C buildings, which are designed on the basis of the current seismic codes. The buildings are analyzed by nonlinear time response analysis using 80 bidirectional seismic sequences. In order to account for the variable orientation of the seismic motion, the two horizontal accelerograms of each earthquake record are applied along horizontal orthogonal axes forming 12 different angles with the structural axes. The assessment of the results revealed that successive ground motions can lead to significant increase of the structural damage compared to the damage caused by the corresponding single seismic events. Furthermore, the incident angle can radically alter the successive earthquake phenomenon depending on the special characteristics of the structure, the number of the sequential earthquakes, as well as the distance of the record from the fault.

적응형 영상 워터마킹 알고리즘 개발 (Development of Adaptive Digital Image Watermarking Techniques)

  • 민준영
    • 한국정보처리학회논문지
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    • 제6권4호
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    • pp.1112-1119
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    • 1999
  • 디지털 워터마킹(digital watermarking)이란 영상이나 비디오, 오디오, 텍스트 등의 저작물에 잘 식별되지 않는 표시를 삽입하여 저작권을 보호하는 방법으로 소유권자의 동의 없이 저작물을 배포, 복사되는 것을 방지하는 방법이다. 주파수 공간에서의 적응형(adaptive) 워터마킹 알고리즘을 제안한다. 본 논문에서는 워터마크를 삽입하기 위해서 사인(sin)함수와 코사인(cos)함수를 이용한 푸리에(Fourier) 급수전개를 이용하였다. 우선, 원 이미지를 주파수 영역을 변환한 다음 워터마크를 삽입할 위치를 저주파 대역으로 한정지어 결정하였으며, M 개의 파형을 가장 직교성(orthogonality)이 좋다고 하는 사인함수와 코사인함수를 이용하여 푸리에 급수 전개를 하였다. 이때, 사인과 코사인의 n 차 고조파는 Random Sequence를 발생하여 결정하였다. 제안한 알고리즘은 이와 같이 푸리에급수전개를 했을 때 각 항의 푸리에 계수를 산출하여 이 푸리에계수에 워터 마크를 삽입하였다. 실험결과 JPEG 압축, 블러링(Bluring), 노이즈 삽입 등의 이미지 왜곡에 대하여 워터마크 상관관계가 최소 0.5467에서 최대 0.9507까지의 견고성(robustness)을 보였다. 본 논문에서는 256$\times$256 크기의 8비트 256 명암값(gray-level)을 갖는 Lenna 이미지를 이용하였다.

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자동차 차체 조립공장에서 주성분 분석의 응용 : 사례 연구 (Application of Principal Component Analysis in Automobile Body Assembly : Case Study)

  • 이명득;임익성;김은정
    • 산업경영시스템학회지
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    • 제31권3호
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    • pp.125-130
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    • 2008
  • 이 논문은 자동차 차체 조립과정에서, 품질관리의 일환으로써, 비접촉 자동측정시스템을 이용하여 검사해야 하는 수많은 비독립적인 검사점을 다변량분산분석과 주성분분석을 이용하여 효율적으로 검사점을 감소시키는 방법을 설명하고 있다. 이 연구의 목적은 다변량분산분석, 주성분 분석의 개념과 이러한 기법들을 산업체 제조분야에서 응용하는 방법을 설명하여 독자의 사례 응용 이해를 돕는데 있으며, 또한 특히 주성분분석을 이용하여 수 많은 비독립적인 검사점을 어떻게 유효하게 줄여나가는지를 보여주고자 한다. 독자의 이해를 돕기 위하여 위와 같은 절차를 순서대로 설명하였으며, 실제 자동차 조립공장에서 발생하는 사례를 수치 예를 들어 설명하였다.

SLM-PTS 결합기법 및 ETD-Turbo부호를 적용한 OFDM 시스템에서의 PAR 개선에 관한 연구 (A Study on PAR Improvement of OFDM system using SLM-PTS Combine Method and ETD-Turbo Code)

  • 성태경;김동식;조형래
    • 한국항해항만학회지
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    • 제29권8호
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    • pp.755-761
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    • 2005
  • 본 논문에서는 OFDM 방식의 문제점으로 지적되고 있는 송신단에서의 PAR 특성을 고려하여 고속 적응형 PTS 기법과 SLM 기법을 결합한 SLM-PTS 결합기법을 제안하였다. 또한, PAR 저감기법을 적용한 시스템을 평가하기 위하여 ETD-Turbo 부호를 사용한 COFDM 시스템을 구성한 후 성능을 평가하였다. 분석 결과 제안된 SLM-PTS 기법이 연산량을 경감시키며 전반적으로 우수한 PAR 저감성능을 보임을 알 수 있었다. 특히 Combine 3의 경우 10-5 BER을 기준으로 약 $3.7\~3.9\;dB$ 정토의 개선된 PAR 성능을 보였다. 또한, 터보부호를 사용한 경우 전반적으로 우수한 PAR 성능을 보임을 알 수 있었고, ETD-Turbo 부호를 적응한 경우 추가적으로 약 0.5 dB 정도의 성능 개선효과가 있음을 알 수 있었다.

CLASSIFICATION OF CLIFFORD ALGEBRAS OF FREE QUADRATIC SPACES OVER FULL RINGS

  • Kim, Jae-Gyeom
    • 대한수학회보
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    • 제22권1호
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    • pp.11-15
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    • 1985
  • Manddelberg [9] has shown that a Clifford algebra of a free quadratic space over an arbitrary semi-local ring R in Brawer-Wall group BW(R) is determined by its rank, determinant, and Hasse invariant. In this paper, we prove a corresponding result when R is a full ring.Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is non-degenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$(V,R) induced by B is an isomorphism), and with a quadratic mapping .phi.: V.rarw.R such that B(x,y)=1/2(.phi.(x+y)-.phi.(x)-.phi.(y)) and .phi.(rx) = $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U9R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$,.., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2 we reserve the notation [a $a_{11}$, $a_{22}$] for the space. A commutative ring R having 2 a unit is called full [10] if for every triple $a_{1}$, $a_{2}$, $a_{3}$ of elements in R with ( $a_{1}$, $a_{2}$, $a_{3}$)=R, there is an element w in R such that $a_{1}$+ $a_{2}$w+ $a_{3}$ $w^{2}$=unit.TEX>=unit.t.t.t.

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An OFDMA-Based Next-Generation Wireless Downlink System Design with Hybrid Multiple Access and Frequency Grouping Techniques

  • Lee Won-Ick;Lee Byeong Gi;Lee Kwang Bok;Bahk Saewoong
    • Journal of Communications and Networks
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    • 제7권2호
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    • pp.115-125
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    • 2005
  • This paper discusses how to effectively design a next-generation wireless communication system that can possibly provide very high data-rate transmissions and versatile quality services. In order to accommodate the sophisticated user requirements and diversified user environments of the next-generation systems, it should be designed to take an efficient and flexible structure for multiple access and resource allocation. In addition, the design should be optimized for cost-effective usage of resources and for efficient operation in a multi-cell environment. As orthogonal frequency division multiple access (OFDMA) has turned out in recent researches to be one of the most promising multiple access techniques that can possibly meet all those requirements through efficient radio spectrum utilization, we take OFDMA as the basic framework in the next-generation wireless communications system design. So, in this paper, we focus on introducing an OFDMA-based downlink system design that employs the techniques of hybrid multiple access (HMA) and frequency group (FG) in conjunction with intra-frequency group averaging (IFGA). The HMA technique combines various multiple access schemes on the basis of OFDMA system, adopting the multiple access scheme that best fits to the given user condition in terms of mobility, service, and environment. The FG concept and IFGA technique help to reduce the feedback overhead of OFDMA system and the other-cell interference (OCI) problem by grouping the sub-carriers based on coherence band-widths and by harmonizing the channel condition and OCI of the grouped sub-carriers.

청년기 여성의 의복설계를 위한 체형분류 (제1보) (Classification of the Somatotypes for the Construction of Young Women's Clothing (Part 1))

  • 권숙희;김혜경
    • 한국의류학회지
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    • 제20권2호
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    • pp.282-297
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    • 1996
  • The effective construction for ready-made clothes is one of the central concerns of both consumers and manufactuers in today's apparel industry. In order to reduce the burden of stocks and increase clothing fitness, systematic information on typical body sizes and somatotypes is essential. The purpose of this study i-: to provide basic data on young women's somatotypes for form designers and pattern makers. The subjects of the survey were 310 women of 18 to 26 years old. The study collected 84 anthropometric data for each Person. The data was analyzed by using of the multivariate method. The factor analysis was utilized in regard to the 65 items obtained from anthropometric measurement respectively. The principal component analysis was applied to the data with orthogonal rotation after extraction. The factor scores used in the factor analysis became the basis of determining the value of each variable of the cluster analysis. The cluster analysis was applied for identifying typical somatotypes. Ward's minimum variance method was applied for the purpose of extracting distance metrix by the standardized Euclidean distance. The element forming each cluster can be subdivided into several sets by crosstabulation which is obtained by the fastclus of the SAS. This research has demonstrated 3 distinctive types of silhouette contour of the trunk. Incidentally it also identified 4 of the lower body from the waistline to thigh contour respectively. The discriminant analysis showed that the most significant discriminant factor of the trunk classification were side neck point -1 scapular -1 waistiline length and waist girth. In Korea, the average somatotype of female college students tends to be tall, slim and straight. Reviewing the relationship between the classifications of three parts of body, they are related to each other to some extent but their distribution are not constant. Therefore, in view of clothing construction, a proper separation of the body surface is a necessity.

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Impurity profiling and chemometric analysis of methamphetamine seizures in Korea

  • Shin, Dong Won;Ko, Beom Jun;Cheong, Jae Chul;Lee, Wonho;Kim, Suhkmann;Kim, Jin Young
    • 분석과학
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    • 제33권2호
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    • pp.98-107
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    • 2020
  • Methamphetamine (MA) is currently the most abused illicit drug in Korea. MA is produced by chemical synthesis, and the final target drug that is produced contains small amounts of the precursor chemicals, intermediates, and by-products. To identify and quantify these trace compounds in MA seizures, a practical and feasible approach for conducting chromatographic fingerprinting with a suite of traditional chemometric methods and recently introduced machine learning approaches was examined. This was achieved using gas chromatography (GC) coupled with a flame ionization detector (FID) and mass spectrometry (MS). Following appropriate examination of all the peaks in 71 samples, 166 impurities were selected as the characteristic components. Unsupervised (principal component analysis (PCA), hierarchical cluster analysis (HCA), and K-means clustering) and supervised (partial least squares-discriminant analysis (PLS-DA), orthogonal partial least squares-discriminant analysis (OPLS-DA), support vector machines (SVM), and deep neural network (DNN) with Keras) chemometric techniques were employed for classifying the 71 MA seizures. The results of the PCA, HCA, K-means clustering, PLS-DA, OPLS-DA, SVM, and DNN methods for quality evaluation were in good agreement. However, the tested MA seizures possessed distinct features, such as chirality, cutting agents, and boiling points. The study indicated that the established qualitative and semi-quantitative methods will be practical and useful analytical tools for characterizing trace compounds in illicit MA seizures. Moreover, they will provide a statistical basis for identifying the synthesis route, sources of supply, trafficking routes, and connections between seizures, which will support drug law enforcement agencies in their effort to eliminate organized MA crime.