• 제목/요약/키워드: solution in closed-form

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커버링 다항식을 이용한 골레이 부호의 연판정 복호 (Soft-Decision Decoding of the [23,12] Golay Code Using Covering Polynomials)

  • 성원진
    • 한국통신학회논문지
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    • 제27권3A호
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    • pp.180-187
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    • 2002
  • 커버링 다항식을 이용한 복호는 오류 포착 복호의 확장된 형태로써, 순환 부호에 적용되어 간단하고도 효율적인 복호기 구현을 가능하게 한다. 커버링 다항식은 한계 거리 이상의 복호와 연판정 복호에도 사용될 수 있으며, 구현 복잡도는 사장되는 커버링 다항식의 개수에 비례하게 된다. 본 논문에서는 커버링 다항식을 이용한 연판정 복호 방법을 제시하고 이를 [23,12] 골레이 코드에 적용하였다. 적용을 위하여 새로운 커버링 다항식 집합을 일반화된 공식으로 유도하고, 이 집합이 골레이 부호를 비롯한 다수의 순환 부호에 효율적으로 활용될 수 있음을 보였다. 또한 제시된 방법을 사용한 복호기의 성능 평가 모의 실험을 수행하여 복잡도와 성능의 trade-off관계를 보였다. 유도된 커버링 다항식을 사용한 골레이 부호의 연판정 복호 시, 최대 유사도 복호가 갖는 최적 오율과 비교하여 전체 실험 구간에서 0.2dB 이내의 성능을 보였으며, 유사한 성능을 갖는 Chase 알고리듬 2와 경판정 복호가 결합된 경우에 비해 복잡도가 감소함을 확인하였다.

대용변수를 이용한 상태기반 보전정책의 설계 (Design of a Condition-based Maintenance Policy Using a Surrogate Variable)

  • 권혁무;홍성훈;이민구
    • 품질경영학회지
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    • 제49권3호
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    • pp.299-312
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    • 2021
  • Purpose: We provide a condition-based maintenance policy where a surrogate variable is used for monitoring system performance. We constructed a risk function by taking into account the risk and losses accompanied with erroneous decisions. Methods: Assuming a unique degradation process for the performance variable and its specific relationship with the surrogate variable, the maintenance policy is determined. A risk function is developed on the basis of producer's and consumer's risks accompanied with each decision. With a strategic safety factor considered, the optimal threshold value for the surrogate variable is determined based on the risk function. Results: The condition-based maintenance is analyzed from the point of risk. With an assumed safety consideration, the optimal threshold value of the surrogate variable is provided for taking a maintenance action. The optimal solution cannot be obtained in a closed form. An illustrative numerical example and solution is provided with a source code of R program. Conclusion: The study can be applied to situation where a sensor signal is issued if the system performance begins to degrade gradually and reaches eventually its functional failure. The study can be extended to the case where two or more performance variables are connected to a same surrogate variable. Also estimation of the distribution parameters and risk coefficients should be further studied.

A comparative study for beams on elastic foundation models to analysis of mode-I delamination in DCB specimens

  • Shokrieh, Mahmood Mehrdad;Heidari-Rarani, Mohammad
    • Structural Engineering and Mechanics
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    • 제37권2호
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    • pp.149-162
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    • 2011
  • The aim of this research is a comprehensive review and evaluation of beam theories resting on elastic foundations that used to model mode-I delamination in multidirectional laminated composite by DCB specimen. A compliance based approach is used to calculate critical strain energy release rate (SERR). Two well-known beam theories, i.e. Euler-Bernoulli (EB) and Timoshenko beams (TB), on Winkler and Pasternak elastic foundations (WEF and PEF) are considered. In each case, a closed-form solution is presented for compliance versus crack length, effective material properties and geometrical dimensions. Effective flexural modulus ($E_{fx}$) and out-of-plane extensional stiffness ($E_z$) are used in all models instead of transversely isotropic assumption in composite laminates. Eventually, the analytical solutions are compared with experimental results available in the literature for unidirectional ($[0^{\circ}]_6$) and antisymmetric angle-ply ($[{\pm}30^{\circ}]_5$, and $[{\pm}45^{\circ}]_5$) lay-ups. TB on WEF is a simple model that predicts more accurate results for compliance and SERR in unidirectional laminates in comparison to other models. TB on PEF, in accordance with Williams (1989) assumptions, is too stiff for unidirectional DCB specimens, whereas in angle-ply DCB specimens it gives more reliable results. That it shows the effects of transverse shear deformation and root rotation on SERR value in composite DCB specimens.

브란운관의 후면유리 폐기물을 이용한 제올라이트 합성

  • 장영남;배인국;채수천;류경원
    • 기술사
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    • 제34권2호
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    • pp.167-173
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    • 2001
  • 브라운관 후면유리 연마 후 발생되는 고상의 유리폐기물을 재활용을 위해, A형 제올라이트의 최적합성조건을 규명하고 생성된 제올라이트의 제반 특성을 기존의 상용 제올라이트와 비교하였다. 테프론 반응용기에 고규산질 알카리용액, NaAlO$_2$그리고 브라운관 유리폐기물 등 3가지 출발물질을 혼합하고, 80∼95$^{\circ}C$ 범위에서 가열하여 제올라이트 Na-A를 열수조건하에서 결정화시켰다. 고규산질 알카리 용액은 자연산 규석을 35$0^{\circ}C$, 1500 기압하에서, NaAlO$_2$는 NaOH와 Al(OH)$_3$시약을 95$^{\circ}C$에서 2∼3시간 가열하여 $Na_2$O/Al$_2$O$_3$=1.4, $H_2O$/$Na_2$O=8이 되도록 각각 합성하여 출발물질로 사용하였다. 브라운관 유리 폐기물과 고규산질 알카리 용액의 혼합비율 약 1:10∼1:13의 범위에서 Al-공급원으로서 1.5∼2.5N의 NaAlO$_2$를 혼합하였을 때 양호한 A-형 제올라이트 결정이 생성되었다. 합성된 Na-A는 하이드록시소달라이트 등과 같은 불순물이 없는 단일상이었으며, 결정형태는 입방 십이면체 (cubo-dodecahedral)형이었고 결정의 1∼2 $\mu$의 균질한 입도로 분포하였다. Ca+ 양이온교환용량은 215∼220 mequivalent/100 g이었다.

브라운관의 후면유리 폐기물을 이용한 제올라이트 합성 (Synthesis of Na-A Type of Zeolite from Funnel-Glass Waste)

  • 장영남;배인국;채수천;류경원
    • 자원환경지질
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    • 제34권2호
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    • pp.167-173
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    • 2001
  • 브라운관 후면유리 연마 후 발생되는 고상의 유리폐기물을 재활용을 위해, A형 제올라이트의 최적합성조건을 규명하고 생성된 제올라이트의 제반 특성을 기존의 상용 제올라이트와 비교하였다. 테프론 반응용기에 고규산질 알카리용액, NaAlO$_2$그리고 브라운관 유리폐기물 등 3가지 출발물질을 혼합하고, 80~95$^{\circ}C$ 범위에서 가열하여 제올라이트 Na-A를 열수조건하에서 결정화시켰다. 고규산질 알카리 용액은 자연산 규석을 35$0^{\circ}C$, 1500 기압하에서, NaAlO$_2$는 NaOH와 Al(OH)$_3$시약을 95$^{\circ}C$에서 2~3시간 가열하여 $Na_2$O/Al$_2$O$_3$=1.4, $H_2O$/$Na_2$O=8이 되도록 각각 합성하여 출발물질로 사용하였다. 브라운관 유리 폐기물과 고규산질 알카리 용액의 혼합비율 약 1:10~1:13의 범위에서 Al-공급원으로서 1.5~2.5N의 NaAlO$_2$를 혼합하였을 때 양호한 A-형 제올라이트 결정이 생성되었다. 합성된 Na-A는 하이드록시소달라이트 등과 같은 불순물이 없는 단일상이었으며, 결정형태는 입방 십이면체 (cubo-dodecahedral)형이었고 결정의 1~2 $\mu$의 균질한 입도로 분포하였다. $Ca^{+}$ 양이온교환용량은 215~220 mequivalent/100 g이었다.

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Widely-Linear Beamforming and RF Impairment Suppression in Massive Antenna Arrays

  • Hakkarainen, Aki;Werner, Janis;Dandekar, Kapil R.;Valkama, Mikko
    • Journal of Communications and Networks
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    • 제15권4호
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    • pp.383-397
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    • 2013
  • In this paper, the sensitivity of massive antenna arrays and digital beamforming to radio frequency (RF) chain in-phase quadrature-phase (I/Q) imbalance is studied and analyzed. The analysis shows that massive antenna arrays are increasingly sensitive to such RF chain imperfections, corrupting heavily the radiation pattern and beamforming capabilities. Motivated by this, novel RF-aware digital beamforming methods are then developed for automatically suppressing the unwanted effects of the RF I/Q imbalance without separate calibration loops in all individual receiver branches. More specifically, the paper covers closed-form analysis for signal processing properties as well as the associated radiation and beamforming properties of massive antenna arrays under both systematic and random RF I/Q imbalances. All analysis and derivations in this paper assume ideal signals to be circular. The well-known minimum variance distortionless response (MVDR) beamformer and a widely-linear (WL) extension of it, called WL-MVDR, are analyzed in detail from the RF imperfection perspective, in terms of interference attenuation and beamsteering. The optimum RF-aware WL-MVDR beamforming solution is formulated and shown to efficiently suppress the RF imperfections. Based on the obtained results, the developed solutions and in particular the RF-aware WL-MVDR method can provide efficient beamsteering and interference suppressing characteristics, despite of the imperfections in the RF circuits. This is seen critical especially in the massive antenna array context where the cost-efficiency of individual RF chains is emphasized.

The Coexistence of OFDM-Based Systems Beyond 3G with Fixed Service Microwave Systems

  • Jo Han-Shin;Yoon Hyun-Goo;Lim Jae-Woo;Chung Woo-Ghee;Yook Jong-Gwan;Park Han-Kyu
    • Journal of Communications and Networks
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    • 제8권2호
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    • pp.187-193
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    • 2006
  • In this paper, we study the coexistence of orthogonal frequency division multiplexing (OFDM)-based systems beyond 3G (B3G) and point-to-point (P-P) fixed service (FS) microwave systems. The advanced general analytical model derived via a power spectral density (PSD) analysis proposed in this paper has two advantages in comparison with the conventional minimum coupling loss (MCL) method. First, the interfering signal power that appears in the band of a victim system can be easily assessed without a spectrum emission mask. Second, when transmit power is not allocated to some subcarriers overlapping the band of the victim system in order to mitigate B3G OFDM-based systems interference with other systems, the general analytical model can successfully assess the interference from the B3G systems into FS systems, whereas the MCL method incorporating the spectrum emission mask cannot be applied in the presence of the same interference condition. The proposed model can be derived in a closed form and is simply implemented with the help of simulation, and thus the solution can be obtained in significantly reduced time. Through application of the proposed model, coexistence results are analyzed in a co-channel and adjacent channel with respect to guard band and minimum separation distance.

Buckling analysis of elastically-restrained steel plates under eccentric compression

  • Qin, Ying;Shu, Gan-Ping;Du, Er-Feng;Lu, Rui-Hua
    • Steel and Composite Structures
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    • 제29권3호
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    • pp.379-389
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    • 2018
  • In this research, the explicit closed-form local buckling solution of steel plates in contact with concrete, with both loaded and unloaded edges elastically restrained against rotation and subjected to eccentric compression is presented. The Rayleigh-Rize approach is applied to establish the eigenvalue problem for the local buckling performance. Buckling shape which combines trigonometric and biquadratic functions is introduced according to that used by Qin et al. (2017) on steel plate buckling under uniform compression. Explicit solutions for predicting the local buckling stress of steel plate are obtained in terms of the rotational stiffness. Based on different boundary conditions, simply yet explicit local buckling solutions are discussed in details. The proposed formulas are validated against previous research and finite element results. The influences of the loading stress gradient parameter, the aspect ratio, and the rotational stiffness on the local buckling stress resultants of steel plates with different boundary conditions were evaluated. This work can be considered as an alternative to apply a different buckling shape function to study the buckling problem of steel plate under eccentric compression comparing to the work by Qin et al. (2018), and the results are found to be in consistent with those in Qin et al. (2018).

전슬관절치환술을 위한 3차원 영역기반 영상정합 기술 (Region-Based 3D Image Registration Technique for TKR)

  • 기재홍;서덕찬;박흥석;윤인찬;이문규;유선국;최귀원
    • 대한의용생체공학회:의공학회지
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    • 제27권6호
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    • pp.392-401
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    • 2006
  • Image Guided Surgery (IGS) system which has variously tried in medical engineering fields is able to give a surgeon objective information of operation process like decision making and surgical planning. This information is displayed through 3D images which are acquired from image modalities like CT and MRI for pre-operation. The technique of image registration is necessary to construct IGS system. Image registration means that 3D model and the object operated by a surgeon are matched on the common frame. Major techniques of registration in IGS system have been used by recognizing fiducial markers placed on the object. However, this method has been criticized due to additional trauma, its invasive protocol inserting fiducial markers in patient's bone and generating noise data when 2D slice images are acquired by image modality because many markers are made of metal. Therefore, this paper developed shape-based registration technique to improve the limitation of fiducial marker based IGS system. Iterative Closest Points (ICP) algorithm was used to match corresponding points and quaternion based rotation and translation transformation using closed form solution applied to find the optimized cost function of transformation. we assumed that this algorithm were used in Total Knee replacement (TKR) operation. Accordingly, we have developed region-based 3D registration technique based on anatomical landmarks and this registration algorithm was evaluated in a femur model. It was found that region-based algorithm can improve the accuracy in 3D registration.

램버트 W 함수를 사용한 라플라스 신호의 최소 평균제곱오차 양자화 (The Lambert W Function in the Design of Minimum Mean Square-Error Quantizers for a Laplacian Source)

  • 송현정;나상신
    • 한국통신학회논문지
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    • 제27권6A호
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    • pp.524-532
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    • 2002
  • 이 논문은, 램버트 W 함수가 라플라스 신호원에 대한 최적 (최소평균제곱오차) 양자기의 비반복적 설계에 이용될 수 있다는 사실을 보고한다. 구체적으로, 라플라스 신호원에 최적인 양자기의 비반복적 설계법을 고찰하며, 설계에 필수적인 비선형 방정식의 점화식의 풀이가 램버트 W 함수를 사용한 닫힌 식으로 표현된다는 것을 발견하였고, 또 이 논문에서는 이 설계법이 지수함수 형태나 라플라스 확률밀도함수 형태를 갖는 신호원에만 적용된다는 것을 증명하였다. 이 논문의 기여점은, 양자기의 설계가 비반복적이며, 원하는 만큼의 정확도로 설계되기 때문에 설계에 필요한 계산 회수가 감소되고, 양자점과 경계값을 구하는데 있어 높은 정확도를 갖는다는 점이다. 또한, 수치결과를 통하여 최적 양자 왜곡이 팬터-다잇 상수에 단조 증기적으로 수렴하는 과정을 관찰하였으며, 최적 양자기의 최외곽 경계값인 중요변수의 근사식을 유도하였다.