• 제목/요약/키워드: Quadrature

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좁은밴드모델을 이용한 실린더 내의 비회색 가스 복사열전달 연구 (Study on Nongray Gas Radiation within a Cylindrical Enclosure by Using the Narrow Band Model)

  • 박원희;정현성;김태국
    • 대한기계학회논문집B
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    • 제26권6호
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    • pp.859-867
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    • 2002
  • Radiative transfer in energy systems such as furnaces, combustors, boilers and high temperature machineries is a significant mode of heat transfer. Although there are many solution schemes suggested for analysis of radiative transfer in multi-dimensional systems, the applicabilities and accuracies of these schemes have not fully tested for nongray gases. Especially reference data for enclosures of non-orthogonal shapes are not yet enough. In this paper we present some precise radiative transfer solutions for a black walled 3-dimensional cylindrical system filled with nongray gases. The SNB(statistical narrow band) model and the ray-tracing method with the T$_{N}$ quadrature set are used for finding nongray solutions. Although the solution method used in this study is not suitable for engineering purposes, the resulting solutions are proved to be quite accurate and can be regarded as the exact solutions and the results presented in this paper can be used in developing various solution schemes fur radiative transfer by real gas mixtures.s.

아리스토텔레스의 무한론에 대한 제논의 역할 (The role of Zeno on the infinite of Aristotle)

  • 강대원;김권욱
    • 한국수학사학회지
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    • 제22권1호
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    • pp.1-24
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    • 2009
  • 본 논문에서는 아리스토텔레스의 무한론과 제논의 논증들과 역설에 대한 그의 논의를 기반으로 아리스토텔레스의 잠재적인 무한론 형성에 제논의 영향을 추론하였다. 고대 그리스수학의 기초로서 아리스토텔레스의 잠재적인 무한을 고찰해 보면 미적분학에 꼭 필요한 실무한에 대한 개념을 허락하지 않았다. 아리스토텔레스의 "자연학"에서 실무한의 존재를 부정하고 잠재적인 무한만을 주장하게 된 것은 제논의 논증에 나타난 불합리를 피하기 위한 희망이 내재해 있는 것으로 판단할 수 있다. 따라서 고대 그리스인들이 왜 실제적으로 극한 개념을 수반한 적분을 개발하지 못하고 번거롭고 불완전한 십진법을 사용하면서 멀리까지 왔는지에 대한 이유 중 하나를 제공할 수 있을 것이다.

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고대 이집트인들의 원의 구적과 직각삼각형의 인식 (Squaring the Circle and Recognizing Right Triangles of Ancient Egyptians)

  • 박민구;박제남;홍경희
    • 한국수학사학회지
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    • 제30권4호
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    • pp.221-232
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    • 2017
  • In this paper, we discuss how ancient Egyptians find out the area of the circle based on $\ll$Ahmose Papyrus$\gg$. Vogel and Engels studied the quadrature of the circle, one of the basic concepts of ancient Egyptian mathematics. We look closely at the interpretation based on the approximate right triangle of Robins and Shute. As circumstantial evidence for Robbins and Shute's hypothesis, Egyptians prior to the 12th dynasty considered the perception of a right triangle as examples of 'simultaneous equation', 'unit of length', 'unit of slope', 'Egyptian triple', and 'right triangles transfer to Greece'. Finally, we present a method to utilize the squaring the circle by ancient Egyptians interpreted by Robbins and Shute as the dynamic symmetry of Hambidge.

간섭무늬 최대점 이동량의 감지를 이용한 초정밀 변위 측정 시스템 (Ultra Precision Displacement Measuring System Using the Detection of Fringe Peak Movement)

  • 이종훈;김수현;곽윤근
    • 한국정밀공학회지
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    • 제18권6호
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    • pp.80-86
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    • 2001
  • This paper proposes a precision displacement measuring method of detecting fringe movement of interferograms with a nanometric resolution. It is well known that the laser interferometer plays a useful and essential role in scientific and industrial application, but they have such error sources as an unequal gain of detectors, imbalanced beams, and lack of quadrature. These error sources degrade the accuracy of the interferometer. However, the fringe movement of interferograms has little relation with these error sources. In order to investigate performance of the proposed method. analysis and simulation were executed over random noise and wavefront distorion. Results of the simulation show that the proposed method is robust against these errors. Experiment was implemented to verify this method.

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실험계획법과 반응표면법을 이용한 효율적인 신뢰도 기법의 개발 (An efficient Reliability Analysis Method Based on The Design of Experiments Augmented by The Response Surface Method)

  • 이상훈;곽병만
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2004년도 추계학술대회 논문집
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    • pp.700-703
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    • 2004
  • A reliability analysis and design procedure based on the design of experiment (DOE) is combined with the response surface method (RSM) for numerical efficiency. The procedure established is based on a 3$^n$ full factorial DOE for numerical quadrature using explicit formula of optimum levels and weights derived for general distributions. The full factorial moment method (FFMM) shows good performance in terms of accuracy and ability to treat non-normally distributed random variables. But, the FFMM becomes very inefficient because the number of function evaluation required increases exponentially as the number of random variables considered increases. To enhance the efficiency, the response surface moment method (RSMM) is proposed. In RSMM, experiments only with high probability are conducted and the rest of data are complemented by a quadratic response surface approximation without mixed terms. The response surface is updated by conducting experiments one by one until the value of failure probability is converged. It is calculated using the Pearson system and the four statistical moments obtained from the experimental data. A measure for checking the relative importance of an experimental point is proposed and named as influence index. During the update of response surface, mixed terms can be added into the formulation.

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톤간섭 및 다중간섭하에서 제반 디지탈 변조신호의 오율특성 비교 (A Comparison of the Error Rate Performances of Various Digitally Modulated Signals in the Environment of Tone/Multiple Interferer)

  • 공병옥;조성준
    • 한국통신학회논문지
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    • 제15권10호
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    • pp.797-810
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    • 1990
  • The error rate equations of digitally modulated signals transmitted through the Gaussian noise and tone multiple interference channel have been derived. Using the derived equations of error probabilities in the environments of Gaussian noise tone interferer and Gaussian noise multiple interferer, the error rate performances of various digitally modulated signals have been evaluated, and compared in graphs as a function of average carrier to tone interferer power ratio(CIR), average carrier to multiple interferer power ratio(CIT) and the average carrer-to-Gaussian noise powr ratio(CIR). In this paper, the modulation schemes such as amplitude shift keying (ASK), phase shift keying(PSK), frequency shift keying(FSK), minimum shift keying(MSK), quadrature amplitud modulation(QAM) and amplitude phase shift keying(APK) have been selected for the study of performance comparison. The results of comparison show us that, in low bits/sec/Hz, PSK is superior to the other schemes, but in high bits/sec/Hz, mixed multi ary type is better than single multi ary type. And in strong noise evironment, the multiple interferer has much influence than tone interferer, however, in low noise environment. the mojor error factor is tone interferer. But tone interference effect nearly disappears over specified CIR level about 20[dB]. And the modulation schemes using amplitude are heavily influenced by multiple interference.

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PAR 저감기법을 적용한 COFDM 시스템의 성능분석 (A study on Performance Analysis of COFDM System using PAR Reduction Method)

  • 성태경;김동식;조형래
    • 한국항해항만학회지
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    • 제29권3호
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    • pp.245-250
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    • 2005
  • 본 논문에서는 OFDM 시스템의 문제점으로 지적되고 있는 송신단의 피크전력 대 평균전력비(Peak to average Power Rate; PAR) 을 고려하여 부호화된 OFDM (Coded OFDM) 시스템을 설계하고 PAR 저감기법을 사용하여 BER (Bit Error Rate)과 SNR (Signal to Noise Ratio) 특성을 평가하였다. 변조방식에 따른 성능 평가를 위하여 M-ary PSK와 M-ary QAM 방식을 비교하였고, 그 결과 16-PSK와 16-QAM 의 성능이 우수하게 나타났다. 또한 16-QAM이 16-PSK 방식보다 10-3의 오차범위에서 2 dB 더 우수한 성능을 보였으며, Peak Power Clipping 기법에서는 약 5dB 정도 우수한 성능을 보였다.

SER Analysis of Multi-Way Relay Networks with M-QAM Modulation in the Presence of Imperfect Channel Estimation

  • Islam, Shama N.;Durrani, Salman;Sadeghi, Parastoo
    • Journal of Communications and Networks
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    • 제18권5호
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    • pp.677-687
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    • 2016
  • Multi-way relay networks (MWRNs) allow multiple users to exchange information with each other through a single relay terminal. MWRNs are often incorporated with capacity achieving lattice codes to enable the benefits of high-rate signal constellations to be extracted. In this paper, we analytically characterize the symbol error rate (SER) performance of a functional decode and forward (FDF) MWRN in the presence of channel estimation errors. Considering M-ary quadrature amplitude modulation (QAM) with square constellations as an important special case of lattice codes, we obtain asymptotic expressions for the average SER for a user in FDF MWRN. The accuracy of the analysis at high signal-to-noise ratio is validated by comparison with the simulation results. The analysis shows that when a user decodes other users with better channel conditions than itself, the decoding user experiences better error performance. The analytical results allow system designers to accurately assess the non-trivial impact of channel estimation errors and the users' channel conditions on the SER performance of a FDF MWRN with M-QAM modulation.

Gray 부호화된 QAM 신호를 위한 근사화된 MAP 알고리듬 (Approximated MAP Algorithm for Gray Coded QAM Signals)

  • 현광민
    • 한국산학기술학회논문지
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    • 제10권12호
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    • pp.3702-3707
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    • 2009
  • 본 논문은 Gray 부호화된 QAM (Quadrature Amplitude Modulation) 신호를 I 축 상에서 M개의 심벌을 갖는 M-PAM (Pulse Amplitude Modulation)과 Q 축 상에서 N개의 심벌을 갖는 N-PAM으로 분리한다. 수신된 심벌 신호를 비트 연판정 값으로 변환하기 위하여 Euclidean 거리를 이용한 근사화된 MAP (Maximum a Posteriori) 알고리듬을 제시한다. 기존의 Max-Log-MAP 방식은 일반 MAP 방식에서 사용하는 지수함수 혹은 로그함수 대신 심벌간 거리 비교를 통하여 구현 복잡도를 낮추었다. 그러나 심벌의 수가 증가 할수록 비교대상이 많아지므로 구현 복잡도가 증가하게 된다. 제안된 알고리듬은 사칙 연산에 의해 계산이 되기 때문에 직관적으로 구현복잡도가 낮아짐을 알 수 있다.

Independent Component Analysis Based MIMO Transceiver With Improved Performance In Time Varying Wireless Channels

  • Uddin, Zahoor;Ahmad, Ayaz;Iqbal, Muhammad;Shah, Nadir
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제9권7호
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    • pp.2435-2453
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    • 2015
  • Independent component analysis (ICA) is a signal processing technique used for un-mixing of the mixed recorded signals. In wireless communication, ICA is mainly used in multiple input multiple output (MIMO) systems. Most of the existing work regarding the ICA applications in MIMO systems assumed static or quasi static wireless channels. Performance of the ICA algorithms degrades in case of time varying wireless channels and is further degraded if the data block lengths are reduced to get the quasi stationarity. In this paper, we propose an ICA based MIMO transceiver that performs well in time varying wireless channels, even for smaller data blocks. Simulation is performed over quadrature amplitude modulated (QAM) signals. Results show that the proposed transceiver system outperforms the existing MIMO system utilizing the FastICA and the OBAICA algorithms in both the transceiver systems for time varying wireless channels. Performance improvement is observed for different data blocks lengths and signal to noise ratios (SNRs).