• Title/Summary/Keyword: Randomness

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Performance of ZF Precoder in Downlink Massive MIMO with Non-Uniform User Distribution

  • Kong, Chuili;Zhong, Caijun;Zhang, Zhaoyang
    • Journal of Communications and Networks
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    • v.18 no.5
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    • pp.688-698
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    • 2016
  • In this paper, we investigate the achievable sum rate and energy efficiency of downlink massive multiple-input multiple-output antenna systems with zero-forcing precoding, by taking into account the randomness of user locations. Specifically, we propose two types of non-uniform user distributions, namely, center-intensive user distribution and edge-intensive user distribution. Based on these user distributions, we derive novel tight lower and upper bounds on the average sum rate. In addition, the impact of user distributions on the optimal number of users maximizing the sum rate is characterized. Moreover, by adopting a realistic power consumption model which accounts for the transmit power, circuit power and signal processing power, the energy efficiency of the system is studied. In particular, closed-form solutions for the key system parameters, such as the number of antennas and the optimal transmit signal-to-noise ratio maximizing the energy efficiency, are obtained. The findings of the paper suggest that user distribution has a significant impact on the system performance: for instance, the highest average sum rate is achieved with the center-intensive user distribution, while the lowest average sum rate is obtained with the edge-intensive user distribution. Also, more users can be served with the center-intensive user distribution.

Rheological anomalies of the poly(ethylene 2, 6-naphthalate) and poly(ethylene terephthalate) blends depending on the compositions

  • Lee, Hyang-Mok;Suh, Duck-Jong;Kil, Seung-Bum;Park, O-Ok;Yoon, Kwan-Han
    • Korea-Australia Rheology Journal
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    • v.11 no.3
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    • pp.219-223
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    • 1999
  • The effects of the transreactions on the rheological properties have been found in the poly(ethylene 2, 6-naphthalate) (PEN) and poly (ethylene terephthalate) (PET) blends. The rheological properties were very much dependent on the blend compositions, which, in turn, were related to extent of the reactions. In particular, a blend with 50/50 wt% composition exhibits an unusual and remarkable decrease in complex viscosity and it may be related to the randomness of the copolymer structure through transreactions. It has been identified by investigating the extent of transreactions and block length of the copolymer from the (ethylene 2, 6-naphthalate) (EN) and (ethylene terephthalate) (ET) units from $^1{H}$ n.m.r. spectra.

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Reliability Analysis Under Input Variable and Metamodel Uncertainty Using Simulation Method Based on Bayesian Approach (베이지안 접근법을 이용한 입력변수 및 근사모델 불확실성 하에 서의 신뢰성 분석)

  • An, Da-Wn;Won, Jun-Ho;Kim, Eun-Jeong;Choi, Joo-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.10
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    • pp.1163-1170
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    • 2009
  • Reliability analysis is of great importance in the advanced product design, which is to evaluate reliability due to the associated uncertainties. There are three types of uncertainties: the first is the aleatory uncertainty which is related with inherent physical randomness that is completely described by a suitable probability model. The second is the epistemic uncertainty, which results from the lack of knowledge due to the insufficient data. These two uncertainties are encountered in the input variables such as dimensional tolerances, material properties and loading conditions. The third is the metamodel uncertainty which arises from the approximation of the response function. In this study, an integrated method for the reliability analysis is proposed that can address all these uncertainties in a single Bayesian framework. Markov Chain Monte Carlo (MCMC) method is employed to facilitate the simulation of the posterior distribution. Mathematical and engineering examples are used to demonstrate the proposed method.

Analysis of Fashion Design Reflected Visual Properties of the Generative Art (제너러티브 아트(Generative Art)의 시각적 속성이 반영된 패션디자인 분석)

  • Kim, Dong Ok;Choi, Jung Hwa
    • Journal of the Korean Society of Clothing and Textiles
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    • v.41 no.5
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    • pp.825-839
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    • 2017
  • Generative Art (also called as the art of the algorithm) creates unexpected results, moving autonomously according to rules or algorithms. The evolution of digital media in art, which tries to seek novelty, increases the possibility of new artistic fields; subsequently, this study establishes the basis for new design approaches by analyzing visual cases of Generative Art that have emerged since the 20th century and characteristics expressed on fashion. For the methodology, the study analyzes fashion designs that have emerged since 2000, based on theoretical research that includes literature and research papers relating to Generative Art. According to the study, expression characteristics shown in fashion, based on visual properties of Generative Art, are as follows. First, abstract randomness is expressed with unexpected coincidental forms using movements of a creator and properties of materials as variables in accordance to rules or algorithms. Second, endlessly repeated pattern imitation expresses an emergent shape by endless repetition created by a modular system using rules or 3D printing using a computer algorithm. Third, the systematic variability expresses constantly changing images with a combination of system and digital media by a wearing method. It is expected that design by algorithm becomes a significant method in producing other creative ideas and expressions in modern fashion.

State Transformations for Regenerative Sampling in Simulation Experiments

  • Kim, Yun-Bae
    • IE interfaces
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    • v.11 no.3
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    • pp.89-101
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    • 1998
  • The randomness of the input variables in simulation experiments produce output responses which are also realizations of random variables. The random responses make necessary the use of statistical inferences to adequately describe the stochastic nature of the output. The analysis of the simulation output of non-terminating simulations is frequently complicated by the autocorrelation of the output data and the effect of the initial conditions that produces biased estimates. The regenerative method has been developed to deal with some of the problems created by the random nature of the simulation experiments. It provides a simple solution to some tactical problems and can produce valid statistical results. However, not all processes can he modeled using the regenerative method. Other processes modeled as regenerative may not return to a given demarcating state frequently enough to allow for adequate statistical analysis. This paper shows how the state transformation concept was successfully used in a queueing model and a job shop model. Although the first example can be analyzed using the regenerative method. it has the problem of too few recurrences under certain conditions. The second model has the problem of no recurrences. In both cases, the state transformation increase the frequency of the demarcating state. It was shown that time state transformations are regenerative and produce more cycles than the best typical discrete demarcating state in a given run length.

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Probabilistic Evaluation of Voltage Quality on Distribution System Containing Distributed Generation and Electric Vehicle Charging Load

  • CHEN, Wei;YAN, Hongqiang;PEI, Xiping
    • Journal of Electrical Engineering and Technology
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    • v.12 no.5
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    • pp.1743-1753
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    • 2017
  • Since there are multiple random variables in the probabilistic load flow (PLF) calculation of distribution system containing distributed generation (DG) and electric vehicle charging load (EVCL), a Monte Carlo method based on composite sampling method is put forward according to the existing simple random sampling Monte Carlo simulation method (SRS-MCSM) to perform probabilistic assessment analysis of voltage quality of distribution system containing DG and EVCL. This method considers not only the randomness of wind speed and light intensity as well as the uncertainty of basic load and EVCL, but also other stochastic disturbances, such as the failure rate of the transmission line. According to the different characteristics of random factors, different sampling methods are applied. Simulation results on IEEE9 bus system and IEEE34 bus system demonstrates the validity, accuracy, rapidity and practicability of the proposed method. In contrast to the SRS-MCSM, the proposed method is of higher computational efficiency and better simulation accuracy. The variation of nodal voltages for distribution system before and after connecting DG and EVCL is compared and analyzed, especially the voltage fluctuation of the grid-connected point of DG and EVCL.

A Gaussian Approach in Stabilizing Outputs of Electrical Control Systems (전기제어 설비의 출력 안정화를 위한 가우시안 접근법)

  • Basnet, Barun;Bang, Jun-ho;Ryu, In-ho;Kim, Tae-hyeong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.67 no.11
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    • pp.1562-1569
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    • 2018
  • Sensor readings always have a certain degree of randomness and fuzziness due to its intrinsic property, other electronic devices in the circuitry, wires and the rapidly changing environment. In an electrical control system, such readings will bring instability in the system and other undesired events especially if the signal hovers around the threshold. This paper proposes a Gaussian-based statistical approach in stabilizing the output through sampling the sensor data and automatic tuning the threshold to the range of multiple standard deviations. It takes advantage of the Central limit theorem and its properties assuming that a large number of sensor data samples will eventually converge to a Gaussian distribution. Experimental results demonstrate the effectiveness of the proposed algorithm in completely stabilizing the outputs over known filtering algorithms like Exponential smoothing and Kalman Filter.

Reliability-based assessment of damaged concrete buildings

  • Sakka, Zafer I.;Assakkaf, Ibrahim A.;Qazweeni, Jamal S.
    • Structural Engineering and Mechanics
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    • v.65 no.6
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    • pp.751-760
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    • 2018
  • Damages in concrete structures due to aging and other factors could be a serious and immense matter. Making the best selection of the most viable and practical repairing and strengthening techniques are relatively difficult tasks using traditional methods of structural analyses. This is due to the fact that the traditional methods used for assessing aging structure are not fully capable when considering the randomness in strength, loads and cost. This paper presents a reliability-based methodology for assessing reinforced concrete members. The methodology of this study is based on probabilistic analysis, using statistics of the random variables in the performance function equations. Principles of reliability updating are used in the assessment process, as new information is taken into account and combined with prior probabilistic models. The methodology can result in a reliability index ${\beta}$ that can be used to assess the structural component by comparing its value with a standard value. In addition, these methods result in partial safety factor values that can be used for the purpose of strengthening the R/C elements of the existing structure. Calculations and computations of the reliability indices and the partial safety factors values are conducted using the First-order Reliability Method and Monte Carlo simulation.

Analysis Model of Write Amplification Factor on Flash Memory (플래시 메모리에서 쓰기 증폭 인자 분석 모델)

  • Lee, Sang-Yup;Kim, Se-Woog;Jeon, Jeong-Ho;Choi, Jong-Moo;Yang, Joong-Seob;Mo, Yeon-Jin;Shin, Young-Kyun
    • Proceedings of the Korean Information Science Society Conference
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    • 2011.06a
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    • pp.551-554
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    • 2011
  • 덮어쓰기 제약(overwirte limitation)과 삭제 횟수 제한(limitted erase cycle)이 있는 플래시 메모리의 특징이 의하여, 플래시 메모시는 시스템에서 요청한 쓰기 요청보다 많은 수의 쓰기 연산을 수행하게 되는데, 시스템에서 요청한 쓰기요청과 실제 쓰기 연산 간의 비율을 쓰기 증폭 인자(Write Amplification Factor, 이후 WAF)라 한다. WAF는 성능과 신뢰성에 중요한 요소로 본 논문에서는 WAF를 예측 할 수 있는 분석모델을 제안한다. 제안된 모델은 페이지 사상 FTL, 블록 사상 FTL, 혼합 사상 FTL 등 다양한 FTL에서 WAF를 예측 할 수 있으며, 예측에 사용되는 매개 변수로 이용율(utilization), 무작위율(randomness), 연관도(Associativity)만을 사용하여 단순하다는 특성이 있다. 본 논문은 실제 Linux 환경에서 측정한 WAF와 비교 분석 결과 제안된 모델이 WAF를 정확히 예측 할 수 있음을 발견하였다.

Are theoretically calculated periods of vibration for skeletal structures error-free?

  • Mehanny, Sameh S.F.
    • Earthquakes and Structures
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    • v.3 no.1
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    • pp.17-35
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    • 2012
  • Simplified equations for fundamental period of vibration of skeletal structures provided by most seismic design provisions suffer from the absence of any associated confidence levels and of any reference to their empirical basis. Therefore, such equations may typically give a sector of designers the false impression of yielding a fairly accurate value of the period of vibration. This paper, although not addressing simplified codes equations, introduces a set of mathematical equations utilizing the theory of error propagation and First-Order Second-Moment (FOSM) techniques to determine bounds on the relative error in theoretically calculated fundamental period of vibration of skeletal structures. In a complementary step, and for verification purposes, Monte Carlo simulation technique has been also applied. The latter, despite involving larger computational effort, is expected to provide more precise estimates than FOSM methods. Studies of parametric uncertainties applied to reinforced concrete frame bents - potentially idealized as SDOF systems - are conducted demonstrating the effect of randomness and uncertainty of various relevant properties, shaping both mass and stiffness, on the variance (i.e. relative error) in the estimated period of vibration. Correlation between mass and stiffness parameters - regarded as random variables - is also thoroughly discussed. According to achieved results, a relative error in the period of vibration in the order of 19% for new designs/constructions and of about 25% for existing structures for assessment purposes - and even climbing up to about 36% in some special applications and/or circumstances - is acknowledged when adopting estimates gathered from the literature for relative errors in the relevant random input variables.