• Title/Summary/Keyword: period error

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An approximate formula to calculate the fundamental period of a fixed-free mass-spring system with varying mass and stiffness

  • Kim, Juwhan;CoIIins, Kevin R.;Lim, Yun Mook
    • Structural Engineering and Mechanics
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    • v.25 no.6
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    • pp.717-732
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    • 2007
  • A formula to approximate the fundamental period of a fixed-free mass-spring system with varying mass and varying stiffness is formulated. The formula is derived mainly by taking the dominant parts from the general form of the characteristic polynomial, and adjusting the initial approximation by a coefficient derived from the exact solution of a uniform case. The formula is tested for a large number of randomly generated structures, and the results show that the approximated fundamental periods are within the error range of 4% with 90% of confidence. Also, the error is shown to be normally distributed with zero mean, and the width of the distribution (as measured by the standard deviation) tends to decrease as the total number of discretized elements in the system increases. Other possible extensions of the formula are discussed, including an extension to a continuous cantilever structure with distributed mass and stiffness. The suggested formula provides an efficient way to estimate the fundamental period of building structures and other systems that can be modeled as mass-spring systems.

A Study on Probability of Bit Error for Wavelet in 4-ary SWSK System (4-ary SWSK 시스템에서 웨이브릿에 대한 비트 에러 확률에 관한 연구)

  • Jeong, Tae-Il
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.1
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    • pp.57-62
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    • 2011
  • This paper presents a study on the performance analysis on probability of bit error for wavelet in 4-ary SWSK system. The formula for the bit error probability in 4-ary SWSK system was derived from the conventional method. This paper experimentally implements the probability of bit error for Daubechies, Biorthogonal, Coiflet and Symlet wavelet using the conventional formula of bit error probability. Additionally, the performance of bit error probability is analyzed for the period and the number of wavelet taps. Based on the results, we confirmed that the performance of Coiflet and Symlet wavelet for the probability of bit error is superior to the other wavelet, and their probability of bit error are similar.

Analysis of changes in dose distribution due to respiration during IMRT

  • Shin, Jung-Suk;Shin, Eun-Hyuk;Han, Young-Yih;Ju, Sang-Gyu;Kim, Jin-Sung;Ahn, Sung-Hwan;Kim, Tae-Gyu;Jeong, Bae-Kwon;Park, Hee-Chul;Ahn, Young-Chan;Choi, Doo-Ho
    • Radiation Oncology Journal
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    • v.29 no.3
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    • pp.206-213
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    • 2011
  • Purpose: Intensity modulated radiation therapy (IMRT) is a high precision therapy technique that can achieve a conformal dose distribution on a given target. However, organ motion induced by respiration can result in significant dosimetric error. Therefore, this study explores the dosimetric error that result from various patterns of respiration. Materials and Methods: Experiments were designed to deliver a treatment plan made for a real patient to an in-house developed motion phantom. The motion pattern; the amplitude and period as well as inhale-exhale period, could be controlled by in-house developed software. Dose distribution was measured using EDR2 film and analysis was performed by RIT113 software. Three respiratory patterns were generated for the purpose of this study; first the 'even inhale-exhale pattern', second the slightly long exhale pattern (0.35 seconds longer than inhale period) named 'general signal pattern', and third a 'long exhale pattern' (0.7 seconds longer than inhale period). One dimensional dose profile comparisons and gamma index analysis on 2 dimensions were performed. Results: In one-dimensional dose profile comparisons, 5% in the target and 30% dose difference at the boundary were observed in the long exhale pattern. The center of high dose region in the profile was shifted 1 mm to inhale (caudal) direction for the 'even inhale-exhale pattern', 2 mm and 5 mm shifts to exhale (cranial) direction were observed for 'slightly long exhale pattern' and 'long exhale pattern', respectively. The areas of gamma index >1 were 11.88 %, 15.11%, and 24.33% for 'even inhale-exhale pattern', 'general pattern', and 'long exhale pattern', respectively. The long exhale pattern showed largest errors. Conclusion: To reduce the dosimetric error due to respiratory motions, controlling patient's breathing to be closer to even inhaleexhale period is helpful with minimizing the motion amplitude.

Mid-Term Performance of Clinical LINAC in Volumetric Modulated Arc Therapy

  • Rahman, Mohammad Mahfujur;Kim, Chan Hyeong;Kim, Seonghoon
    • Journal of Radiation Protection and Research
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    • v.44 no.1
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    • pp.43-52
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    • 2019
  • Background: The mid-term performance of clinical linear accelerator (LINAC) during volumetric modulated arc therapy (VMAT) treatment period is not performed in clinical practice and usually replaced with one-time plan quality assurance (QA). In this research we aim to monitor daily reproducibility of VMAT delivery from tracking individual leaf movement error and dosimetric error to evaluate the mid-term quality of the machine used. Materials and Methods: First, multileaf collimator (MLC) information was imported into MATLAB program to determine which of the MLC leaves in the leaf bank had the maximum RMS position error (maxRMS). We estimated where the maximum positional errors (maxPE) of the chosen leaf occur along its path length and tracked its daily variations over the entire treatment period. Secondly, picture information of dosimetric error from portal dosimetry was imported into MATLAB where representative high gamma index region (HGR) was determined as HGR with length of > 1 cm and their centers were daily tracked. Results and Discussion: The maxPEs in the brain and tongue cases were distributed broader than in other cases, but all data were found located within ${\pm}0.5mm$. From first day to last day all of five cases show the similar visual pattern of HGRs and Centers of the longest HGRs remained within ${\pm}1mm$ of that in first day. These findings prove excellent mid-term performance of the LINAC used in VMAT treatments over a full course of treatment. Conclusion: Tracking the daily location changes of leaf movement and dosimetric error can be a good indicator of predicting the daily quality like stability and reproducibility of beam delivering in VMAT treatment.

A Study on the Prediction Diagnosis System Improvement by Error Terms and Learning Methodologies Application (오차항과 러닝 기법을 활용한 예측진단 시스템 개선 방안 연구)

  • Kim, Myung Joon;Park, Youngho;Kim, Tai Kyoo;Jung, Jae-Seok
    • Journal of Korean Society for Quality Management
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    • v.47 no.4
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    • pp.783-793
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    • 2019
  • Purpose: The purpose of this study is to apply the machine and deep learning methodology on error terms which are continuously auto-generated on the sensors with specific time period and prove the improvement effects of power generator prediction diagnosis system by comparing detection ability. Methods: The SVM(Support Vector Machine) and MLP(Multi Layer Perception) learning procedures were applied for predicting the target values and sequentially producing the error terms for confirming the detection improvement effects of suggested application. For checking the effectiveness of suggested procedures, several detection methodologies such as Cusum and EWMA were used for the comparison. Results: The statistical analysis result shows that without noticing the sequential trivial changes on current diagnosis system, suggested approach based on the error term diagnosis is sensing the changes in the very early stages. Conclusion: Using pattern of error terms as a diagnosis tool for the safety control process with SVM and MLP learning procedure, unusual symptoms could be detected earlier than current prediction system. By combining the suggested error term management methodology with current process seems to be meaningful for sustainable safety condition by early detecting the symptoms.

INS/GPS Integrated Smoothing Algorithm for Synthetic Aperture Radar Motion Compensation Using an Extended Kalman Filter with a Position Damping Loop

  • Song, Jin Woo;Park, Chan Gook
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.1
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    • pp.118-128
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    • 2017
  • In this study, we propose a real time inertial navigation system/global positioning system (INS/GPS) integrated smoothing algorithm based on an extended Kalman filter (EKF) and a position damping loop (PDL) for synthetic aperture radar (SAR). Integrated navigation algorithms usually induce discontinuities due to error correction update by the Kalman filter, which are as detrimental to the performance of SAR as the relative position error. The proposed smoothing algorithm suppresses these discontinuities and also reduces the relative position error in real time. An EKF estimates the navigation errors and sensor biases, and all the errors except for the position error are corrected directly and instantly. A PDL activated during SAR operation period imposes damping effects on the position error estimates, where the estimated position error is corrected smoothly and gradually, which contributes to the real time smoothing and small relative position errors. The residual errors are re-estimated by the EKF to maintain the estimation performance and the stability of the overall loop. The performance improvements were confirmed by Monte Carlo simulations. The simulation results showed that the discontinuities were reduced by 99.8% and the relative position error by 48% compared with a conventional EKF without a smoothing loop, thereby satisfying the basic performance requirements for SAR operation. The proposed algorithm may be applicable to low cost SAR systems which use a conventional INS/GPS without changing their hardware configurations.

Location Error Analysis of an Active RFID-Based RTLS in Multipath and AWGN Environments

  • Myong, Seung-Il;Mo, Sang-Hyun;Yang, Hoe-Sung;Cha, Jong-Sub;Lee, Heyung-Sub;Seo, Dong-Sun
    • ETRI Journal
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    • v.33 no.4
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    • pp.528-536
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    • 2011
  • In this paper, we analyze the location accuracy of real-time locating systems (RTLSs) in multipath environments in which the RTLSs comply with the ISO/IEC 24730-2 international standard. To analyze the location error of RTLS in multipath environments, we consider a direct path and indirect path, in which time and phase are delayed, and also white Gaussian noise is added. The location error depends strongly on both the noise level and phase difference under a low signal-to-noise ratio (SNR) regime, but only on the noise level under a high SNR regime. The phase difference effect can be minimized by matching it to the time delay difference at a ratio of 180 degrees per 1 chip time delay (Tc). At a relatively high SNR of 10 dB, a location error of less than 3 m is expected at any phase and time delay value of an indirect signal. At a low SNR regime, the location error range increases to 8.1 m at a 0.5 Tc, and to 7.3 m at a 1.5 Tc. However, if the correlation energy is accumulated for an 8-bit period, the location error can be reduced to 3.9 m and 2.5 m, respectively.

Efficient Adaptive Algorithms Based on Zero-Error Probability Maximization (영확률 최대화에 근거한 효율적인 적응 알고리듬)

  • Kim, Namyong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.5
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    • pp.237-243
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    • 2014
  • In this paper, a calculation-efficient method for weight update in the algorithm based on maximization of the zero-error probability (MZEP) is proposed. This method is to utilize the current slope value in calculation of the next slope value, replacing the block processing that requires a summation operation in a sample time period. The simulation results shows that the proposed method yields the same performance as the original MZEP algorithm while significantly reducing the computational time and complexity with no need for a buffer for error samples. Also the proposed algorithm produces faster convergence speed than the algorithm that is based on the error-entropy minimization.

Data Compression Method for Reducing Sensor Data Loss and Error in Wireless Sensor Networks (무선센서네트워크에서 센서 데이터 손실과 오류 감소를 위한 데이터 압축 방법)

  • Shin, DongHyun;Kim, Changhwa
    • Journal of Korea Multimedia Society
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    • v.19 no.2
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    • pp.360-374
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    • 2016
  • Since WSNs (Wireless Sensor Networks) applied to their application areas such as smart home, smart factory, environment monitoring, etc., depend on sensor data, the sensor data is the most important among WSN components. The resources of each node consisting of WSN are extremely limited in energy, hardware and so on. Due to these limitation, communication failure probabilities become much higher and the communication failure causes data loss to occur. For this reason, this paper proposes 2MC (Maximum/Minimum Compression) that is a method to compress sensor data by selecting circular queue-based maximum/minimum sensor data values. Our proposed method reduces sensor data losses and value errors when they are recovered. Experimental results of 2MC method show the maximum/minimum 35% reduction efficiency in average sensor data accumulation error rate after the 3 times compression, comparing with CQP (Circular Queue Compression based on Period) after the compressed data recovering.

An Estimation of the Equilibrium Error by the Short Term Disequilibrium Relations between the Markets (시장간 단기적 불균형 관계에 따른 균형오차의 추정)

  • Kim, Tae-Ho
    • The Korean Journal of Applied Statistics
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    • v.21 no.2
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    • pp.221-231
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    • 2008
  • This study attempts to perform the statistical tests for the comovement of the stock prices between Korea and U.S. by using the weekly data instead of the usual daily data. The restoring pattern, from the short-run disequilibrium to the long-run equilibrium point, is also carefully estimated if the long-run relationships exist between the stock prices. The cointegrating relations between the stock prices appear to begin to hold during the period of the financial crisis. It is found to be consistently estimated that the equilibrium error is slowly eliminated till the end of the financial crisis, while quickly removed after the period.