• Title/Summary/Keyword: complementary error function

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A Study on the Fatigue Strength and Life Distribution of Carbon Steel Using the Database System (데이터베이스 시스템을 이용한 탄소강의 피로강도 및 수명분포)

  • Kim, Jung Kyu;Moon, Joon Ho;Kim, Do Sik
    • Journal of Korean Society of Steel Construction
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    • v.10 no.1 s.34
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    • pp.37-45
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    • 1998
  • The relational database system on fatigue strength was constructed, and the properties of fatigue life distribution were examined to analyze reliability and safety of metallic materials. Data manipulations were efficiently performed in relational fatigue strength database system using dependency diagram. Regardless of the distribution of fatigue strength, the proposed method, the Robust method and the complementary error function method using probability distribution, successfully estimated parameters of the 3-parameter Weibull distribution. The proposed criterion for estimating non-failure probability showed good results regardless of censoring time. The fatigue life distribution function described as a function of parameters of the Weibull distribution and applied stress ratio produced P-S-N characteristics reasonably.

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Derivation of the refractive index profile equation of K-Na ion-exchange waveguide by a rapid thermal method (급열법에 의한 K-Na 이온교환 도파로의 굴절율 분포식산출)

  • 강승민
    • Proceedings of the Optical Society of Korea Conference
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    • 1990.02a
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    • pp.237-241
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    • 1990
  • A detailed theoretical and experimental study of k-na exchange in soda lime silicate glasses by RTP is presented. Concentration profiles i.e. index profiles are given by complementary error function added Gaussian function. The estimated diffusion coefficient is 1.54${\mu}{\textrm}{m}$2/min.

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Modified adaptive complementary sliding mode control for the longitudinal motion stabilization of the fully-submerged hydrofoil craft

  • Liu, Sheng;Niu, Hongmin;Zhang, Lanyong;Xu, Changkui
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.1
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    • pp.584-596
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    • 2019
  • This paper presents a Modified Adaptive Complementary Sliding Mode Control (MACSMC) system for the longitudinal motion control of the Fully-Submerged Hydrofoil Craft (FSHC) in the presence of time varying disturbance and uncertain perturbations. The nonlinear disturbance observer is designed with less conservatism that only boundedness of the derivative of the disturbance is required. Then, a complementary sliding mode control system combined with adaptive law is designed to reduce the bound of stabilization error with fast convergence. In particularly, the modified complementary sliding mode surface which contains the estimation of the disturbance can reduce the switching gain and retain the normal performance of the system. Moreover, a hyperbolic tangent function contained in the control law is utilized to attenuate the chattering of the actuator. The global asymptotic stability of the closed-loop system is demonstrated utilizing the Lyapunov stability theory. Ultimately, the simulation results show the effectiveness of the proposed approach.

Reducing PAPR of OFDM Signals Using Modified Partial Transmit Sequences Technique Based on Erasure Decoding (소실 복호 기반의 수정된 PTS 기법을 이용한 OFDM 신호의 PAPR 감소)

  • Kong, Min-Han;Song, Moon-Kyou
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.8C
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    • pp.775-781
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    • 2007
  • In this paper, a modified PTS(Partial Transmit Sequences) technique that uses erasure decoding of RS (Reed-Solomon) codes is presented. At the transmitter, some check symbols in a RS codeword partitioned into subblocks are phase-rotated by phase factors. The receiver decodes received codewords by regarding the phase-rotated check symbols as erasures. Hence, this technique does not need to transmit the side information about the phase factors chosen at the transmitter. The complexity of the receiver is also reduced since the estimation process for the phase factors is not required in the receiver. There is no performance degradation due to the transmission error of the side information or the estimation error of the phase factors. To evaluate the performance of the proposed PTS technique, the CCDF(Complementary Cumulative Distribution Function) of PAPR and the BER(Bit Error Rate) are compared with those of the conventional PTS techniques.

Performance Analysis of an AF Dual-hop FSO Communication System with RF Backup Link

  • Alhamawi, Khaled A.;Altubaishi, Essam S.
    • Current Optics and Photonics
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    • v.3 no.4
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    • pp.311-319
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    • 2019
  • A hybrid free-space-optical/radio-frequency (FSO/RF) communication system is considered, with the help of amplify-and-forward (AF) relaying. We consider various weather conditions to investigate their effects on the system's performance. We begin by obtaining the cumulative distribution function and probability density function of the end-to-end signal-to-noise ratio for the AF dual-hop FSO communication system with RF backup link. Then, these results are used to derive closed-form expressions for the outage probability, average bit-error rate, and average ergodic capacity. The results show that the considered system efficiently employs the complementary nature of FSO and RF links, resulting in impressive performance improvements compared to non-hybrid systems.

Selected Mapping Technique Based on Erasure Decoding for PAPR Reduction of OFDM Signals (OFDM 신호의 PAPR 감소를 위한 소실 복호 기반의 SLM 기법)

  • Kong, Min-Han;Song, Moon-Kyou
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.44 no.2
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    • pp.22-28
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    • 2007
  • High PAPR (peak-to-average power ratio) is a major drawback of OFDM (orthogonal frequency division multiplexing) signals. In this paper, a modified SLM (selective mapping) technique that uses erasure decoding of RS (Reed-Solomon) codes is presented. At the transmitter a set of phase sequences are multiplied such that some portions of check symbols in RS-coded OFDM data blocks are phase-rotated. At the receiver, RS decoding is performed with the phase-rotated check symbols being treated as erasures. Hence, there is no need to send side information about the phase sequence selected to transmit for the lowest PAPR. In addition, the estimation process for the selected phase sequence is no longer needed at the receiver, leading to improvement in terms of complexity and performance. To evaluate the performance of this technique, the CCDF (complementary cumulative distribution function) of PAPR, the BER (bit error rate) and the decoding failure probability are compared with those of the previous SLM techniques.

Mechanism of Soil Remediation in Contaminated Area Using Vertical Drains (연직배수재(VDs)에 의한 오염지반정화 메커니즘 연구)

  • Lee Haeng Woo;Chang Pyoung Wuck;Kang Byung Yoon;Kim Hyun Tae
    • Journal of The Korean Society of Agricultural Engineers
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    • v.47 no.5
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    • pp.63-71
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    • 2005
  • In-situ soil remediation mechanism through the vertical drains (VDs) is analyzed with numerical model as the error and complementary error function. Results from in-situ test and analysis indicate that the contaminant concentration ratio as initial one ( C/$C_0$) increases as the radius ratio ( r/R) increases from the injection well, and also increases as the depth ratio ( z/ H) increases from the top of contaminated area. The elapse time needed to attain $50\%$ and $90\%$ clean up level ($ t_{50},\;t_{90}$) increases as the radius ratio ( r/R) and the depth ratio ( z/ H) increase. As above results, the procedure of soil flushing in contaminated area using vertical drains makes progress from the top of injection well to the bottom of extraction well.

Bayesian Estimators Using Record Statistics of Exponentiated Inverse Weibull Distribution

  • Kim, Yong-Ku;Seo, Jung-In;Kang, Suk-Bok
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.479-493
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    • 2012
  • The inverse Weibull distribution(IWD) is a complementary Weibull distribution and plays an important role in many application areas. In this paper, we develop a Bayesian estimator in the context of record statistics values from the exponentiated inverse Weibull distribution(EIWD). We obtained Bayesian estimators through the squared error loss function (quadratic loss) and LINEX loss function. This is done with respect to the conjugate priors for shape and scale parameters. The results may be of interest especially when only record values are stored.

Nonparametric Bayesian estimation on the exponentiated inverse Weibull distribution with record values

  • Seo, Jung In;Kim, Yongku
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.611-622
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    • 2014
  • The inverse Weibull distribution (IWD) is the complementary Weibull distribution and plays an important role in many application areas. In Bayesian analysis, Soland's method can be considered to avoid computational complexities. One limitation of this approach is that parameters of interest are restricted to a finite number of values. This paper introduce nonparametric Bayesian estimator in the context of record statistics values from the exponentiated inverse Weibull distribution (EIWD). In stead of Soland's conjugate piror, stick-breaking prior is considered and the corresponding Bayesian estimators under the squared error loss function (quadratic loss) and LINEX loss function are obtained and compared with other estimators. The results may be of interest especially when only record values are stored.

Performance Analysis of Space-time Coded MIMO System with Discrete-rate Adaptive Modulation in Ricean Fading Channels

  • Yu, Xiangbin;Rui, Yun;Yin, Xin;Chen, Xiaomin;Li, Mingqi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.6 no.10
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    • pp.2493-2508
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    • 2012
  • The performance of a MIMO system with adaptive modulation (AM) and space-time coding over Ricean fading channels for perfect and imperfect channel state information (CSI) is presented. The fading gain value is partitioned into a number of regions by which the modulation is adapted according to the region the fading gain falls in. Under a target bit error rate (BER) constraint, the switching thresholds for AM are given. Based on these results, we derive the calculation formulae of the theoretical spectrum efficiency (SE) and average BER. As a result, closed-form SE expression and accurate BER expression are respectively obtained. Besides, using the approximation of complementary error function, a tightly closed-form approximation of average BER is also derived to simplify the calculation of accurate theoretical BER. Computer simulation shows that the theoretical SE and BER are in good agreement with the corresponding simulation, and the approximate BER is also close to the accurate one. The results show that the AM scheme in Ricean fading channel provides better SE than that in Rayleigh fading channel due to the direct-path propagation, and has performance degradation in SE and BER for imperfect CSI.