• Title/Summary/Keyword: Step Size

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A TECHNIQUE WITH DIMINISHING AND NON-SUMMABLE STEP-SIZE FOR MONOTONE INCLUSION PROBLEMS IN BANACH SPACES

  • Abubakar Adamu;Dilber Uzun Ozsahin;Abdulkarim Hassan Ibrahim;Pongsakorn Sunthrayuth
    • Nonlinear Functional Analysis and Applications
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    • 제28권4호
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    • pp.1051-1067
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    • 2023
  • In this paper, an algorithm for approximating zeros of sum of three monotone operators is introduced and its convergence properties are studied in the setting of 2-uniformly convex and uniformly smooth Banach spaces. Unlike the existing algorithms whose step-sizes usually depend on the knowledge of the operator norm or Lipschitz constant, a nice feature of the proposed algorithm is the fact that it requires only a diminishing and non-summable step-size to obtain strong convergence of the iterates to a solution of the problem. Finally, the proposed algorithm is implemented in the setting of a classical Banach space to support the theory established.

치의학 연구에서 노모그램을 이용한 표본수 계산 (Sample size estimation using nomogram in dental research)

  • 김기열
    • 대한치과의사협회지
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    • 제54권8호
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    • pp.630-638
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    • 2016
  • The appropriate sample size calculation in dental research is important to achieve the study purpose at the first step in study design. However, it cannot be easy to calculate sample size using standard formulas, because the several factors must be considered for calculation. This study introduced the graphic method for sample size calculation, which is called nomogram. The purpose of this study is to show the effectiveness of the nomogram using examples, expecting the researchers can easily use nomogram for sample size determination.

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Cloud Generation Using a Huge Vertical Mine

  • Ma, Chang-Jin
    • Journal of Korean Society for Atmospheric Environment
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    • 제22권E2호
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    • pp.78-88
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    • 2006
  • In order to study the characteristics of cloud, a real-scale experiment for cloud generation was carried out using an extinct vertical mine (430 m height) located in the northeastern Honshu, Japan. The dry particles generated from the three-step concentrations of NaCl solutions were used for cloud generation. The number size distributions of initial dry particles and cloud droplets were monitored by Scanning Mobility Particle Sizer (SMPS) and Forward Scattering Spectrometer Probe (FSSP) at bottom and upper sites of pit, respectively. The polymeric water absorbent film (PWAF) method was employed to measure liquid water content ($W_L$) as a function of droplet size. Moreover the chemical properties of individual droplet replicas were determined by micro-PIXE. The CCN number concentration shows the lognormal form in dependence of the particle size, while the number size distributions of droplets are bimodal showing the peaks around $9{\mu}m$ and $20{\mu}m$ for every case. In comparison to background mineral particles, right shifting of size distribution line for NaCl particles was occurred. When NaCl solutions with three-step different concentrations were neulized, $W_L$ shows the strong droplet size dependence. It varied from $10.0mg\;m^{-3}$ up to $13.6mg\;m^{-3}$ with average $11.6mg\;m^{-3}$. A good relationship between $W_L$ and cloud droplet number concentration was obtained. Both chemical inhomogeneities (mixed components with mineral and C1) and homogeneities (only mineral components or C1) in individual droplet replicas were obviously observed from micro-PIXE elemental images.

Co-FXLMS 알고리듬을 이용한 능동소음제어 성능의 향상 (Performance Improvement of Active Noise Control Using Co-FXLMS Algorithm)

  • 권오철;이경태;박상길;이정윤;오재응
    • 한국소음진동공학회논문집
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    • 제18권3호
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    • pp.284-292
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    • 2008
  • The active control technique mostly uses the least-mean-square(LMS) algorithm, because the LMS algorithm can easily obtain the complex transfer function in real-time, particularly when the Filtered-X LMS(FXLMS) algorithm is applied to an active noise control(ANC) system. However, FXLMS algorithm has the demerit that stability of the control is decreased when the step size become larger but the convergence speed is faster because the step size of FXLMS algorithm is fixed. As a result, the system has higher probability which the divergence occurs. Thus the Co-FXLMS algorithm was developed to solve this problem. The Co-FXLMS algorithm is realized by using an estimate of the cross correlation between the adaptation error and the filtered input signal to control the step size. In this paper, the performance of the Co-FXLMS algorithm is presented in comparison with the FXLMS algorithm. Simulation and experimental results show that active noise control using Co-FXLMS is effective in reducing the noise in duct system.

음향 반향 제어를 위한 가변수렴인자를 갖는 잡음에 강건한 적응 NLMS 알고리즘 (A Noise-Robust Adaptive NLMS Algorithm with Variable Convergence Factor for Acoustic Echo Cancellation)

  • 박장식;손경식
    • 한국멀티미디어학회논문지
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    • 제2권1호
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    • pp.99-108
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    • 1999
  • 본 논문에서는 계산량이 크게 증가하지 않으면서 음향 반향 제거기의 성능을 향상시키는 잡음에 강건한 알고리즘을 제안한다. 제안하는 알고리즘은 NLMS 알고리즘을 기반으로 적응 상수를 기준 입력신호와 마이크 입력신호의 전력합으로 정규화한다. 마이크 입력으로 근단화자의음성신호와 잡음이 입력되면 그 전력만큼 적응 상수가 작아지기 때문에 이들 주변 잡음신호에 의한 계수 오조정을 줄일 수있다. 따라서 제안하는 알고리즘은 동시통화와 주변 잡음이 있는 상황에서 반향 제거 기능을 잘 수행한다. 제안하는 알고리즘의 수렴 속도는 반향 신호가 10~20 dBSPL 정도 감쇠되기 때문에 NLMS 알고리즘에 비해서 크게 느려지지 않는다. 본 논문에서는 제안하는 알고리즘의 성능을 분석하고 기존의 알고리즘과 비교한다.

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퍼지 PI 제어기를 이용한 태양광 발전시스템의 MPPT 제어 (The MPPT Control of Photovoltaic System using the Fuzzy PI Controller)

  • 고재섭;정동화
    • 조명전기설비학회논문지
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    • 제28권2호
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    • pp.9-18
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    • 2014
  • This paper proposes the fuzzy PI controller for maximum power point tracking(MPPT) control of photovoltaic system. The output characteristics of the solar cell are a nonlinear and affected by a temperature, the solar radiation. The MPPT control is a very important technique in order to increase an output and efficiency of the photovoltaic system. The conventional perturbation and observation(PO) and incremental conductance(IC) are the method which finding maximum power point(MPP) by the continued self-excitation vibration, and uses the fixed step size. If the fixed step size is a large, the tracking speed of maximum power point is faster, but the tracking accuracy in the steady state is decreased. On the contrary, when the fixed step size is a small, the tracking accuracy is increased and the tracking speed is slower. Therefore, this paper proposes the MPPT control using the fuzzy PI controller that can be improve a MPPT control performance. The fuzzy PI controller is adjusted a input of PI controller by fuzzy control and compensated a cumulative error of fuzzy control by PI controller. The fuzzy PI MPPT control is compared to conventional PO and IC MPPT method for various temperature and radiation condition. This paper proves the validity of the fuzzy PI controller using these results.

Co-FXLMS 알고리듬을 이용한 능동소음제어 성능의 향상 (Performance Improvement of Active Noise Control Using Co-FXLMS Algorithm)

  • 이해진;권오철;이정윤;오재응
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.598-603
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    • 2007
  • The active control technique mostly uses the Least-Mean-Square (LMS) algorithm, because the LMS algorithm can easily obtain the complex transfer function in real-time, particularly when the Filtered-X LMS (FXLMS) algorithm is applied to an active noise control (ANC) system. However, FXLMS algorithm has the demerit that stability of the control is decreased when the step size become larger but the convergence speed is faster because the step size of FXLMS algorithm is fixed. As a result, the system has higher probability which the divergence occurs. Thus the Co-FXLMS algorithm was developed to solve this problem. The Co-FXLMS algorithm is realized by using an estimate of the cross correlation between the adaptation error and the filtered input signal to control the step size. In this paper, the performance of the Co-FXLMS algorithm is presented in comparison with the FXLMS algorithm. Simulation results show that active noise control using Co-FXLMS is effective in reducing the noise in duct system.

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HBPI 제어기를 이용한 태양광발전 시스템의 MPPT 제어 (MPPT Control of Photovoltaic System using HBPI Controller)

  • 고재섭;정동화
    • 전기학회논문지
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    • 제61권12호
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    • pp.1864-1871
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    • 2012
  • This paper proposes the hybrid proportional integral(HBPI) controller for maximum power point tracking(MPPT) control of photovoltaic system. The output characteristics of the solar cell are a nonlinear and affected by a temperature, the solar radiation and influence of a shadow. The MPPT control is a very important technique in order to increase an output and efficiency of the photovoltaic system. The conventional constant voltage(CV), perturbation and observation(PO) and incremental conductance(IC) are the method which finding maximum power point(MPP) by the continued self-excitation vibration, and uses the fixed step size. If the fixed step size is a large, the tracking speed of maximum power point is faster, but the tracking accuracy in the steady state is decreased. On the contrary, when the fixed step size is a small, the tracking accuracy is increased and the tracking speed is slower. Therefore, in order to solve these problems, this paper proposes HBPI controller that is adjusted gain of conventional PI control using fuzzy control, and the maximum power point tracks using this controller. The validity of the controller proposed in this paper proves through the results of the comparisons.

Design a Non-Slot Step Folded PIFA and Analyze the Characteristic for Dual-Band GSM and W-CDMA

  • 이비오;고현정;박상복;천창율;정용식
    • 한국정보통신설비학회:학술대회논문집
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    • 한국정보통신설비학회 2008년도 정보통신설비 학술대회
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    • pp.3-6
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    • 2008
  • In this paper, we propose the folded PIFA with its made an alteration to a factor of resonance for L-slot PIFA. Proposed antenna maintain diminished size patch and improve each bandwidth of GSM(0.88$\sim$-0.96 GHz) and W-CDMA(1.92$\sim$2,17 GHz) for miniaturized repeater. The non-slot step folded PIFA's structure that design of essence was general L-slot PIFA for dual-band. It has no U-slot, multi band and the another slot. The parameters of proposed antenna were optimized for dual-band and compact size by folded singleness patch. Proposed antenna by using folded singleness patch take satisfaction main point, bandwidth of GSM and W-CDMA, compact patch size($39{\times}21{\times}13mm^3$). The antenna was designed by FDTD simulation tool and it was made from result of simulation. Measured data shown that the proposed non-slot step folded PIFA was strong possibility.

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기울기 평균 벡터를 사용한 가변 스텝 최소 자승 알고리즘과 시변 망각 인자를 사용한 시변 음향 채널 추정 (An time-varying acoustic channel estimation using least squares algorithm with an average gradient vector based a self-adjusted step size and variable forgetting factor)

  • 임준석
    • 한국음향학회지
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    • 제38권3호
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    • pp.283-289
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    • 2019
  • RLS(Recursive-least-squares) 알고리즘은 수렴성이 좋고, 수렴 후 오차 수준도 우수한 것으로 알려져 있다. 그러나 알고리즘 내에 역행렬 계산이 포함되어 수치적 불안정성을 나타내는 단점도 있다. 본 논문에서는 언급한 불안정성을 회피하기 위해서 역행렬이 없지만 수렴성이 유사한 알고리즘을 제안한다. 이를 위해서 기울기 평균 벡터를 사용한 가변 스텝 최소 자승 알고리즘을 사용한다. 또 시변 채널 추정에 우수한 성능을 내기 위해서 계산량이 적은 가변 망각인자를 도입한다. 시뮬레이션을 통해서 기존 RLS와의 성능을 비교하고 그 유사성을 보인다. 또 시변 채널에서 가변 망각인자의 우수성도 보인다.