• Title/Summary/Keyword: square root

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Offset Frequency Stabilization of He-Ne Lasers Using Phase Locked Loop (PLL을 이용한 헬륨-네온 레이저의 옵셋 주파수 안정화)

  • Yun Dong Hyun;Suh Ho Sung;Lyou Joon
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.6
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    • pp.496-501
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    • 2005
  • This paper presents experimental results of the frequency offset locking of He-Ne lasers and the stability analysis. The master laser is free running, and the slave laser is a single-mode operating laser. The frequency difference of two lasers is stabilized to 200 MHz which can be synchronized using PLL servo. The measured beat frequency between two lasers was 200.004 MHz ${\pm}$ 0.15 MHz. The square root of Allan variance as a measure of stability in time domain is also measured. The long-term stability of the beat was worse than sort-term stability. With a gate time $\tau=1000\;s$, the square root of Allan variance was about 1 GHz. The results of the square root of Allan variance of the stabilized beat signal was a gate time of $\tau=1000\;s$, the square root of Allan variance was about 1.5 kHz. The long-term stability was improved by more than several hundred times compared with that without the stabilization.

A Study on the Temperature Compensated and Linearized Power Detector (온도보상 및 선형화 된 전력검출기에 관한 연구)

  • 김희태;오재석;박의준;이영순;김병철
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.8
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    • pp.1386-1391
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    • 2000
  • In this paper, the method to linearize the non-linearity of diode and to compensate the characteristics change of diode with the temperature is studied. Square root circuit is used to linearize the non-linearity of diode about the input power, and two identical diodes and OP-Amps, which have variable reference, are used to compensate the characteristic change of diode with the temperature. As the result, designed diode power detector (with the square root circuit and temperature compensation circuit) can detect the output power linearly with the 0.23 $\pm$0.025V/dBm rate in the case the input power is greater than -6 dBm, and the designed circuit operates stably with no variation in the output data about the temperature change from the room temperature to 8$0^{\circ}C$.

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Effect of Injection Temperature Condition on Root Mean Square and Peak-to-Valley of F-theta Lens (사출온도조건이 에프세타 렌즈의 표면조도와 표면형상에 미치는 영향에 관한 연구)

  • Park, Yong-Woo;Moon, Seong-Min;Lyu, Sung-Ki
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.20 no.6
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    • pp.114-120
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    • 2021
  • This study is focused on the root mean square and peak-to-valley based on the injection conditions of the f-theta lens, one of the main components of laser printers and laser scanning systems. The f-theta lens of an aspherical plastic lens requires ultra-preaction. Injection molding is typically used for the mass production of aspherical plastic lenses. In the injection-molding method, the resin in the lens shape is filled with the resin after melting the plastic pellets at a constant temperature and then cooled. It is necessary to maintain a uniform injection molding system to produce high-quality lenses. These injection-molding systems are influenced by different factors, such as pressure, speed, temperature, mold, and cooling. It is possible to obtain a lens that exhibits the optical characteristics required to achieve harmony. We investigated the root mean square and peak-to-valley caused by variations in temperature, a critical parameter in the melting and cooling of plastic resins generated inside and outside the injection mold.

Compositional data analysis by the square-root transformation: Application to NBA USG% data

  • Jeseok Lee;Byungwon Kim
    • Communications for Statistical Applications and Methods
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    • v.31 no.3
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    • pp.349-363
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    • 2024
  • Compositional data refers to data where the sum of the values of the components is a constant, hence the sample space is defined as a simplex making it impossible to apply statistical methods developed in the usual Euclidean vector space. A natural approach to overcome this restriction is to consider an appropriate transformation which moves the sample space onto the Euclidean space, and log-ratio typed transformations, such as the additive log-ratio (ALR), the centered log-ratio (CLR) and the isometric log-ratio (ILR) transformations, have been mostly conducted. However, in scenarios with sparsity, where certain components take on exact zero values, these log-ratio type transformations may not be effective. In this work, we mainly suggest an alternative transformation, that is the square-root transformation which moves the original sample space onto the directional space. We compare the square-root transformation with the log-ratio typed transformation by the simulation study and the real data example. In the real data example, we applied both types of transformations to the USG% data obtained from NBA, and used a density based clustering method, DBSCAN (density-based spatial clustering of applications with noise), to show the result.

On the Use of Twisted Montgomery Curves for CSIDH-Based Cryptography (CSIDH 기반 암호에 대한 뒤틀린 몽고메리 곡선 사용)

  • Kim, Suhri
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.31 no.3
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    • pp.497-508
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    • 2021
  • In this paper, we focus on optimizing the performance of CSURF, which uses the tweaked Montgomery curves. The projective version of elliptic curve arithmetic is slower on tweaked Montgomery curves than on Montgomery curves, so that CSURF is slower than the hybrid version of CSIDH. However, as the square-root Velu formula uses less number of ellitpic curve arithmetic than the standard Velu formula, there is room for optimization We optimize the square-root Velu formula and 2-isogeny formula on tweaked Montgomery curves. Our CSURFis 14% faster than the standard CSURF, and 10.8% slower than the CSIDH using the square-root Velu formula. The constant-time CSURF is 6.8% slower than constant-time CSIDH. Compared to the previous implementations, this is a remarkable result.

Performance Comparison of Various Extended Kalman Filter and Cost-Reference Particle Filter for Target Tracking with Unknown Noise (노이즈 불확실성하에서의 확장칼만필터의 변종들과 코스트 레퍼런스 파티클필터를 이용한 표적추적 성능비교)

  • Shin, Myoungin;Hong, Wooyoung
    • Journal of the Korea Society for Simulation
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    • v.27 no.3
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    • pp.99-107
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    • 2018
  • In this paper, we study target tracking in two dimensional space using a Extended Kalman filter(EKF), various Extended Kalman Filter and Cost-Reference Particle Filter(CRPF), which can effectively estimate the state values of nonlinear measurement equation. We introduce various Extended Kalman Filter which the Unscented Kalman Filter(UKF), the Central Difference Kalman Filter(CDKF), the Square Root Unscented Kalman Filter(SR-UKF), and the Central Difference Kalman Filter(SR-CDKF). In this study, we calculate Mean Square Error(MSE) of each filters using Monte-Carlo simulation with unknown noise statistics. Simulation results show that among the various of Extended Kalman filter, Square Root Central Difference Kalman Filter has the best results in terms of speed and performance. And, the Cost-Reference Particle Filter has an advantageous feature that it does not need to know the noise distribution differently from Extended Kalman Filter, and the simulation result shows that the excellent in term of processing speed and accuracy.

Simple Design of Equiripple Square Root Pulse Shaping Filter (자승근형 등리플 파형성형 필터의 간단한 설계)

  • 오우진
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.40 no.2
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    • pp.64-69
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    • 2003
  • In this paper, I introduce a simple design method using existing filter design method, such as Parks-McClecllan algorithm, for root-squared type raised cosine filter with equiripple characteristics, Thought some design examples, we show that the proposed filter has much better performance in ripple than the conventional SRCF at the expense of small increasing of ISI. In addition, the proposed filter is compatible with conventional SRCF. Finally, the filter for W-CDMA which uses RRC (Root Raised Cosine) with a=0.22 is designed in 12bit finite precision.

A Study on Failure Analysis of Low Pressure Turbine Blade Subject to Fatigue Load (피로하중을 받은 저압 터빈 블레이드의 파손해석에 관한 연구)

  • 홍순혁;이동우;조석수;주원식
    • Journal of Welding and Joining
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    • v.19 no.3
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    • pp.298-304
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    • 2001
  • Turbine blade is subject to force of three types ; the torsional force by torsional mount, the centrifugal force by the rotation of rotor and the cyclic bending force by steam pressure. The cyclic bending force was a main factor on fatigue strength. SEM fractography in root of turbine blade showed micro-clack width was not dependent on stress intensity factor range. Especially, fatigue did not exist on SEM photograph in root of turbine blade. To clear out the fracture mechanism of turbine blade, nanofractography was needed on 3-dimensional crack initiation and crack growth with high magnification. Fatigue striation partially existed on AFM photograph in root of turbine blade. Therefore, to find a fracture mechanism of the torsion-mounted blade in nuclear power plant, the relation between stress intensity factor range and surface roughness measured by AFM was estimated, and then the load amplitude ΔP applied to turbine blade was predicted exactly by root mean square roughness.

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Comparison of Statistic Methods for Evaluating Crop Model Performance (작물모형 평가를 위한 통계적 방법들에 대한 비교)

  • Kim, Junhwan;Lee, Chung-Kuen;Shon, Jiyoung;Choi, Kyung-Jin;Yoon, Younghwan
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.14 no.4
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    • pp.269-276
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    • 2012
  • The objective of this short communication is to introduce several evaluation methods to crop model users because the evaluation of crop model performance is an important step to develop or select crop model. In this paper, mean error, mean absolute error, index of agreement, root mean square error, efficiency of model, accuracy factor and bias factor were explained and compared in terms of dimension and observed number. Efficiency of model and index of agreement are dimensionless and independent of number of observation. Relative root mean square, accuracy factor and bias factor are dimensionless and not independent of number of observation. Mean error and mean absolute error are affected by dimension and number of observation.

A Design and Implementation of the Division/square-Root for a Redundant Floating Point Binary Number using High-Speed Quotient Selector (고속 지수 선택기를 이용한 여분 부동 소수점 이진수의 제산/스퀘어-루트 설계 및 구현)

  • 김종섭;조상복
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.37 no.5
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    • pp.7-16
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    • 2000
  • This paper described a design and implementation of the division/square-root for a redundant floating point binary number using high-speed quotient selector. This division/square-root used the method of a redundant binary addition with 25MHz clock speed. The addition of two numbers can be performed in a constant time independent of the word length since carry propagation can be eliminated. We have developed a 16-bit VLSI circuit for division and square-root operations used extensively in each iterative step. It performed the division and square-toot by a redundant binary addition to the shifted binary number every 16 cycles. Also the circuit uses the nonrestoring method to obtain a quotient. The quotient selection logic used a leading three digits of partial remainders in order to be implemented in a simple circuit. As a result, the performance of the proposed scheme is further enhanced in the speed of operation process by applying new quotient selection addition logic which can be parallelly process the quotient decision field. It showed the speed-up of 13% faster than previously presented schemes used the same algorithms.

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