• 대한수학회지
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• 제51권6호
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• pp.1155-1175
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• 2014

We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds on the limit points of the majorizing sequences involved. Under the same computational cost our semilocal convergence criteria can be weaker; the error bounds more precise and in the local case the convergence balls can be larger and the error bounds tighter than in earlier studies such as [1-3,7-14,16,20,21] at least for the cases of Newton's method and the secant method. Numerical examples are also presented to illustrate the theoretical results obtained in this study.

• Journal of Positioning, Navigation, and Timing
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• 제12권3호
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• pp.215-228
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• 2023

The State Space Representation (SSR) method provides individual corrections for each Global Navigation Satellite System (GNSS) error components. This method can lead to less bandwidth for transmission and allows selective use of each correction. Precise Point Positioning (PPP) - Real-Time Kinematic (RTK) is one of the carrier-based precise positioning techniques using SSR correction. This technique enables high-precision positioning with a fast convergence time by providing atmospheric correction as well as satellite orbit and clock correction. Currently, the positioning service that supports PPP-RTK technology is the Quazi-Zenith Satellite System Centimeter Level Augmentation System (QZSS CLAS) in Japan. A system that provides correction for each GNSS error component, such as QZSS CLAS, requires monitoring of each error component to provide reliable correction and integrity information to the user. In this study, we conducted an analysis of the performance of residual error bounding for each error component. To assess this performance, we utilized the correction and quality indicators provided by QZSS CLAS. Performance analyses included the range domain, dispersive part, non-dispersive part, and satellite orbit/clock part. The residual root mean square (RMS) of CLAS correction for the range domain approximated 0.0369 m, and the residual RMS for both dispersive and non-dispersive components is around 0.0363 m. It has also been confirmed that the residual errors are properly bounded by the integrity parameters. However, the satellite orbit and clock part have a larger residual of about 0.6508 m, and it was confirmed that this residual was not bounded by the integrity parameters. Users who rely solely on satellite orbit and clock correction, particularly maritime users, thus should exercise caution when utilizing QZSS CLAS.

• 한국융합학회논문지
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• 제8권5호
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• pp.185-192
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• 2017

공작기계의 오차는 크게 기하하적 오차, 열변형 오차 및 가공오차로 나눌 수 있다. 본 연구에서는 2차원 가공에서, 각 오차의 원인이 전체 오차에 미치는 영향과 각 오차의 상대적 크기를 정량적으로 분석하였다. 오차의 상대적 크기는 열변형 오차와 가공오차가 상대적으로 기하학적 오차에 비해 크게 나타났으며, 이는 가공 정밀도에 직접적으로 관계된다고 판단되었다. 세 가지 오차를 제거하기 위해 측정된 오차 프로파일을 이용하여 오차의 보정가능성을 검토하였다. 그 결과 각각의 오차요인에 대하여 약 50%의 시스템 오차를 보정할 수 있었으며, 특히, 열변형 오차와 가공오차의 경우 큰 폭으로 오차를 보정할 수 있음을 확인하였다. 본 연구를 통하여 가공에 관한 기본적인 데이터 베이스를 구축할 수 있으며, 이를 통해 사용자 관점에서 가공오차에 대한 보정이 가능할 것으로 기대된다.

• Journal of information and communication convergence engineering
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• 제9권5호
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• pp.556-561
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• 2011

This paper presents a new method for shift keying using the combination of scaling function and wavelet named scaling wavelet shift keying (SWSK). An algorithm for SWSK modulation is carried out where the scaling function and the wavelet are encoded to 1 and 0 in accordance with the binary input, respectively. Signal energy, correlation coefficient and error probability of SWSK are derived from error probability of frequency shift keying(FSK). The performance is analyzed in terms of error probability and it is simulated in accordance with the kind of the wavelet. Based on the results, we can conclude that the proposed scheme is superior to the performance of the conventional schemes.

• Journal of Positioning, Navigation, and Timing
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• 제12권2호
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• pp.141-148
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• 2023

In this paper, impacts of tropospheric delay gradient correction on PPP positioning performance were analyzed. A correction for tropospheric delay error due to the gradient was created and applied using external data, and reference station data were collected on a sunny day and a rainy day to analyze the GPS only dual-frequency PPP positioning results. As a result, on the sunny day, the convergence time was about 35 minutes and the final 3D position error was 10 cm, regardless of whether the correction for the tropospheric delay error by the gradient was applied. On the other hand, on the rainy day, the 3D position error converges only when the correction was applied, and the convergence time was about 34 minutes. Furthermore, the final 3D position error was improved from 30 cm to 10 cm. In addition, the analysis of the PPP by reference station location on the rainy day showed that the PPP positioning performance was improved when the correction was applied to a user located in an area where the weather changes.

• 한국산업융합학회 논문집
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• 제22권3호
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• pp.293-301
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• 2019

Based on accurate image processing technology, a system for measuring displacement in ${\mu}m$ for drive error (position error, straightness error, flatness error) at a distance using parallel light and image sensor is developed, and a system for applying this technology development to a large 3D rapid prototyping machine and compensating in real time is developed to dramatically reduce the range of measurement error and enable intelligent 3D production of high quality products.

• The Journal of the Acoustical Society of Korea
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• 제17권3E호
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• pp.43-46
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• 1998

Many of the active noise control system utilize a form of the least mean square(LMS) algorithm. This paper discusses the dependence of the convergence rate on the acoustic error path in the popular algorithm which is conventional "filtered-x LMS" and introduces new algorithm "constrained filtered-x LMS". The proposed method increase the convergence region regardless of the time-delay in the acoustic error path. In the algorithms, coefficients of the controller are adapted using the residuals of constrained structure which are defined in such a way that the control process become stationary. Advantages of constrained filtered-x LMS algorithm is illustrated by convergence analysis in the mean sense.

• 한국통신학회논문지
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• 제40권3호
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• pp.419-424
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• 2015

판정의거(decision-directed: DD) 등화는 수신 신호의 눈모형이 완전히 닫힌 채널 조건에서는 눈모형을 충분히 열지 못하여 블라인드 등화기를 초기화하는 데는 효과적이지 않은 것으로 알려져 있다. 본 논문에서는 기존 DD 알고리즘의 오차를 대체하는 새로운 오차를 제안한다. 새로운 DD 오차는 신호점 판정의 모듈러스를 기존 DD 오차에 스케일링한 것으로, 이를 적용한 새로운 DD 알고리즘은 기존 DD와는 달리 등화 초기의 닫힌 눈모형을 여는데 효과적이다. 새로운 오차를 적용한 DD 알고리즘은 블라인드 초기화에 널리 쓰이는 CMA에 비해 우수한 수렴 특성을 보이며, 특히 다중 모듈러스를 가지는 신호 등화에 유용하다. 고차 QAM 신호에 대한 모의실험을 통해 새로운 DD 알고리즘의 성능을 검증하였다.

• Transactions on Control, Automation and Systems Engineering
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• 제1권1호
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• pp.69-74
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• 1999

Adaptive algorithms based on gradient adaptation have been extensively investigated and successfully joined with active noise/vibration control applications. The Filtered-X LMS algorithm became one of the basic feedforward algorithms in such applications, but is not fully understood yet. Effects of cancellation path model on the Filtered-X LMS algorithm have investigated and some useful properties related to stability were discovered. Most of the results stated that the error in the cancellation path model is undesirable to the Filtered X LMS. However, we started convergence analysis of Filtered-X LMS based on the assumption that erroneous model does not always degrade its performance. In this paper, we present a way of optimizing the cancellation path modern in order to enhance the convergence speed by introducing intentional phase error. Carefully designed intentional phase error enhances the convergence speed of the Filtered X LMS algorithm for pure tone noise suppression application without any performance loss at steady state.