• 제목/요약/키워드: symbol of form

검색결과 280건 처리시간 0.026초

ON A GROUP CLOSELY RELATED WITH THE AUTOMORPHIC LANGLANDS GROUP

  • Ikeda, Kazim Ilhan
    • 대한수학회지
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    • 제57권1호
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    • pp.21-59
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    • 2020
  • Let LK denote the hypothetical automorphic Langlands group of a number field K. In our recent study, we briefly introduced a certain unconditional non-commutative topological group ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$, called the Weil-Arthur idèle group of K, which, assuming the existence of LK, comes equipped with a natural topological group homomorphism $NR{\frac{\varphi}{K}^{Langlands}}$ : ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$ → LK that we called the "Langlands form" of the global nonabelian norm-residue symbol of K. In this work, we present a detailed construction of ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$ and $NR{\frac{\varphi}{K}^{Langlands}}$ : ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$ → LK, and discuss their basic properties.

내다중파변복조 방식을 위한 파형부호화 (Waveform Coding for Anti-Multipath Mod/Demodulation Systems)

  • 이정재
    • 한국통신학회논문지
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    • 제18권9호
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    • pp.1323-1331
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    • 1993
  • 내다중파특성을 갖는 변복조 방식을 소개하고 이의 지연검사 특성을 통하여 DSK의 내다중성에 대한 기본원리를 분석한다. 정보심볼구간 T의 한가운데인 T/2에서 위상변화를 갖도록하여 얻을 수 있는 다이버시티 효과에 대해서도 검토한다. 기본방식의 하나인 DSK의 대역폭에 대한 특성을 개선하기 위하여 다변화한 $ heta$-DSK의 위상과 모양함수를 변화시켜 특성을 연구한다.

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코히런트 무선 광통신 시스템에서 펄스 재밍으로 인한 비트오류율 분석 (BER Analysis of Coherent Free-Space Optical Systems with Pulsed Noise Jamming)

  • 박휘성
    • 한국통신학회논문지
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    • 제41권3호
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    • pp.304-306
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    • 2016
  • 본 논문에서는 펄스 재머의 영향에 대해 코히런트 무선 광통신 시스템에서 비트오류율을 분석한다. 유도된 수식은 닫힌형태로 쉽게 코히런트 광 통신 시스템 성능을 확인할 수 있다. 또한 최적의 공격을 위한 재머를 작동시키는 심볼 시간 비율을 계산한다. 결과를 통해서, 유도된 비트오류율이 정확한 것을 확인한다.

A New Modified MPPM for High-Speed Wireless Optical Communication Systems

  • Rouissat, Mehdi;Borsali, Riad A.;Chikh-Bled, Mohammad E.
    • ETRI Journal
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    • 제35권2호
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    • pp.188-192
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    • 2013
  • Previous work proposed combining multipulse pulse position modulation (MPPM) with pulse amplitude modulation to form multipulse amplitude and position modulation (MPAPM), which is a hybrid modulation that results in an improvement in bandwidth efficiency but a degradation in power efficiency. In this paper, to achieve greater power efficiency and a better data rate, we propose multipulse dual amplitude-width modulation, based on MPAPM and pulse width modulation. The proposed scheme shows a remarkable improvement in data rate and a 1.5-dB improvement in power efficiency over MPAPM, while sustaining the bandwidth efficiency. After introducing symbol structure, we present the theoretical expressions of spectral efficiency, the power requirements, and the normalized data rate, as well as the results of comparing the proposed modulation to MPPM and MPAPM.

CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION

  • Kumar, Dinesh;Gupta, Rajeev Kumar;Shaktawat, Bhupender Singh
    • 호남수학학술지
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    • 제38권4호
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    • pp.739-752
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    • 2016
  • The main aim of this paper is to introduce an extension of the generalized ${\tau}$-Gauss hypergeometric function $_rF^{\tau}_s(z)$ and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin trans-form and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.

정규 허프만 코드의 선택적 암호화 (Selective Encryption of Canonical Huffman code)

  • 박상호
    • 전기전자학회논문지
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    • 제22권4호
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    • pp.1163-1167
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    • 2018
  • 비트 값의 반전을 이용하여 정규 허프만 코드의 선택적인 암호화 방법을 제안하였다. 심벌들을 일정한 크기의 블록으로 나누어 블록안의 각 심벌들을 정규 허프만 코딩으로 압축한다. 블록별로 원 코드로 보낼 것인지 암호화하여 보낼것인지 결정하고 암호화 블록은 전제 비트들의 값을 반전시키고 암호화하지 않는 블록들은 원 코딩 데이터를 암호화 정보와 함께 전송한다. 수신측에서 압축된 데이터를 암호화 정보를 이용하여 해독가능하다.

SER-Based Relay Selection for Two-Way Relaying with Physical Layer Network Coding

  • Li, Dandan;Xiong, Ke;Qiu, Zhengding;Du, Guanyao
    • ETRI Journal
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    • 제35권2호
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    • pp.336-339
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    • 2013
  • To enhance the symbol error rate (SER) performance of the two-way relay channels with physical layer network coding, this letter proposes a relay selection scheme, in which the relay with the maximal minimum distance between different points in its constellation among all relays is selected to assist two-way transmissions. We give the closed-form expression of minimum distance for binary phase-shift keying and quadrature phase-shift keying. Additionally, we design a low-complexity method for higher-order modulations based on look-up tables. Simulation results show that the proposed scheme improves the SER performance for two-way relay networks.

교과서에 표현된 복소수와 이에 대한 학생들의 이해 실태 분석 (Complex number on textbooks and Analysis on understanding state of students)

  • 박선호;표성수
    • 한국수학교육학회지시리즈A:수학교육
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    • 제51권1호
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    • pp.1-19
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    • 2012
  • In this study, contents of 'the 2007 revised curriculum handbook' and 16 kinds of mathematics textbooks were analyzed first. The purpose of this study is to examine the understanding state of students at general high schools by making questionnaires to survey the understanding state on contents of chapter of complex number based on above analysis. Results of research can be summarized as follows. First, the content of chapter of complex number in textbook was not logically organized. In the introduction of imaginary number unit, two kinds of marks were presented without any reason and it has led to two kinds of notation of negative square root. There was no explanation of difference between delimiter symbol and operator symbol at all. The concepts were presented as definition without logical explanations. Second, students who learned with textbook in which problems were pointed out above did not have concept of complex number for granted, and recognized it as expansion of operation of set of real numbers. It meant that they were confused of operation of complex numbers and did not form the image about number system itself of complex number. Implications from this study can be obtained as follows. First, as we came over to the 7th curriculum, the contents of chapter of complex number were too abbreviated to have the logical configuration of chapter in order to remove the burden for learning. Therefore, the quantitative expansion and logical configuration fit to the level for high school students corresponding to the formal operating stage are required for correct configuration of contents of chapter. Second, teachers realize the importance of chapter of complex number and reconstruct the contents of chapter to let students think conceptually and logically.

실시간 다중고장진단 제어기법에 관한 연구 (A Study on Real time Multiple Fault Diagnosis Control Methods)

  • 배용환;배태용;이석희
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 춘계학술대회 논문집
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    • pp.457-462
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    • 1995
  • This paper describes diagnosis strategy of the Flexible Multiple Fault Diagnosis Module for forecasting faults in system and deciding current machine state form sensor information. Most studydeal with diagnosis control stategy about single fault in a system, this studies deal with multiple fault diagnosis. This strategy is consist of diagnosis control module such as backward tracking expert system shell, various neural network, numerical model to predict machine state and communication module for information exchange and cooperate between each model. This models are used to describe structure, function and behavior of subsystem, complex component and total system. Hierarchical structure is very efficient to represent structural, functional and behavioral knowledge. FT(Fault Tree). ST(Symptom Tree), FCD(Fault Consequence Diagrapy), SGM(State Graph Model) and FFM(Functional Flow Model) are used to represent hierachical structure. In this study, IA(Intelligent Agent) concept is introduced to match FT component and event symbol in diagnosed system and to transfer message between each event process. Proposed diagnosis control module is made of IPC(Inter Process Communication) method under UNIX operating system.

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아동영문어휘책에 제시된 그림과 문자의 사용에 대한 분석 (Analysis on the Use of Picture and Letter Used in the Books of English Vocabulary for Children)

  • 이미영
    • 한국콘텐츠학회논문지
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    • 제14권1호
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    • pp.150-157
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    • 2014
  • 본 논문은 현재 출간된 아동영문어휘책의 현황분석을 통해 그림과 문자의 관계적 속성을 이해하고 사용자인 아동을 고려해 시각적 심상을 얼마나 잘 활용하고 있는가를 파악하고자 하였다. 이에 아동영문어휘책에 사용된 그림의 유형과 그림의 활용도, 그림과 문자의 결합 형태, 그림과 문자와의 의미일치도 정도를 살펴보았다. 분석결과 그림의 활용도는 일러스트, 만화, 일러스트와 만화의 혼용 순으로 전반적으로 높은 것으로 나타났다. 그림과 문자의 결합 형태에서는 그림+어휘형, 일러스트가 없는 문자형, 그림문자형 순으로 나타났다. 특히나 그림과 문자의 의미일치도가 높을수록 학습에 효과적인데 반해 의미일치도는 전반적으로 낮게 나타났다. 의미일치도가 높게 나타난 5개의 그룹 중 그림문자형이 가장 높은 결합형태 빈도를 보이고 있었다. 따라서 현재 출간된 아동영문어휘책에 나타난 그림과 문자의 제시형태는 비슷한 형태로 출판사별로 출간되고 있음을 알 수 있었고 아동의 다양한 수준을 바탕으로 한 효과적인 디자인연구가 필요하다고 보아진다.