• Title/Summary/Keyword: arctangent method

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Analysis of the nonlinear oscillator using ampifiers with arctangent funtional characeriatics. (Arctangent특성의 증폭기를 사용한 비선발진기의 해석)

  • 김수중;홍재근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.13 no.4
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    • pp.18-23
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    • 1976
  • We have obtained the solution of van der Pol's equation characterized by an arctangent nonlinearity, using the perturbation method by writing periodicity conditions: $$X^{(n)}(2{\pi})-X^{(n)}(0)=0$$ $$X^{(n)'}(2{\pi})-X^{(n)'}(0)=0 (n=0,1,2......)$$ together with the starting condition: $$X^{(n)}(\frac{\pi}{2})=0,\;X^{(n)}'(\frac{\pi}{2})=-R^{(n)}$$. Our results agree with Liapunov's theorem and our calculated value is more similar to Murata's measured value than Murata's calculated value.

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VLSI Implementation of CORDIC-based Derotator (CORDIC 구조를 이용한 디지털 위상 오차 보상기의 VLSI 구현)

  • 안영호;남승현;성원용
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.36C no.3
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    • pp.35-46
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    • 1999
  • A derotator VLSI which compensates for the frequency and phase errors of a received signal in digital communication systems was developed employing a CORDIC algorithm. The CORDIC circuit directly rotates the input signal according to the phase error information, thus is much simpler than the conventional derotator architecture which consists of a DDFS (Direct Digital Frequency Synthesizer) and a complex multiplier. Since a derotator needs only small phase error accumulation, a fast direction sequence generation method which exploits the linearity of the arctangent function in small angles is utilized in order to enhance the operating speed. The chip was designed and implemented using a $0.6\mu\textrm{m}$ triple metal CMOS process by the full custom layout method. The whole chip size is $6.8\textrm{mm}^2$ and the maximum operating frequency is 25 MHz.

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A Study on the Improvement of phase Unwrapping in Discontinuous Fringe Pattern (Phase Map Unwrapping 향상에 관한 연구)

  • 조영학;김경석;장호섭;정승택
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.330-333
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    • 2002
  • This study Presents improvement of Precision in the non-contacted laser application measuring techniques. The phase map of deformation obtained by phase shifting method in Electronic Speckle Pattern Interferometry displays the wrapped image by the arctangent function, which is a characteristic of 4-step phase shifting method. To obtain deformation distribution from the results, the wrapped phase map is processed by an unwrapping method. But a previous method cannot apply discontinuous object as like plate with a circular hole to obtain precious deformation distribution To solve this problem, new algorithm is developed and the result is compared with previous method.

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Study on Ultra Precise Position Control of Servomotor using Analog Quadrature Encoder (정현파 엔코더를 이용한 서보전동기의 초정밀 위치제어에 관한 연구)

  • Kim J.C.;Kim J.M.;Kim C.W.;Choi C.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.260-264
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    • 2005
  • This paper describes the ultra precise position control of servo motor using sinusoidal encoder based on 'Arcsine Interpolation Method'. First, the paper theoretically analyzes and verify throughout experiments, the relationship between A/D converter input ripple and the total resolution to measure the precise position. Second, this paper presents a way to compensate the total gain and offset error by utilizing a low cost programmable differential amp, by which without any special expensive equipments they are easily on-line tuned and effectively compensated. Lastly, it was compared to servomotor position control characteristics using digital incremental 50,000ppr encoder. The test results show that, with much cheaper sinusoidal encoder, the proposed method exhibits better performance both in position control and ASD applications than the 50,000ppr optical encoder.

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A Study on the Phase Diversity and Optimal I/Q Signal Combining Methods on a UHF RFID Receiver (UHF RFID 수신기의 위상 다이버시티 및 최적 I/Q 신호 결합 방법에 관한 연구)

  • Jang, Byung-Jun;Song, Ho-Jun
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.4
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    • pp.442-450
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    • 2008
  • In this paper, the phase diverisity in a direct-conversion receiver for a UHF RFID reader is analyzed and the optimal I/Q signal combining methods is presented with respect to tag modulation. At first, fading characteristics of a single channel receiver is shown to prove the importance of phase diversity due to the phase relationship between the backscattered signal and the local oscillator. And the optimal signal combining methods are presented in order to overcome the signal power reduction due to phase diversity. In case of ASK, the power combining method is presented for the optimal I/Q combining. And the arctangent and principal component combining methods using covariance matrix of I and Q channels are presented for the optimal I/Q combining in case of PSK. In order to analyze the performance of suggested methods, the selection diversity and the optimal combining methods are compared. According to analysis and simulation results, the optimal combining methods have a maximum 3 dB SNR enhancement than selection diversity.

Low-complexity Carrier Frequency Offset Estimation using A Novel Region Boundary for OFDM-based WLAN Systems (영역 경계 기법을 사용한 OFDM기반 WLAN 시스템의 반송파 주파수 오프셋 추정 기법)

  • Cho, Jong-Min;Kim, Jin-Sang;Cho, Won-Kyung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.3A
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    • pp.254-259
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    • 2010
  • In this paper, we propose a low-complexity carrier frequency offset (CFO) estimation algorithm for OFDM based wireless LAN, IEEE 802.11a. The complexity of the arctangent operation to calculate the argument of auto-correlation for CFO estimation is reduced by a novel range pointer method. The proposed algorithm estimates fine CFO value first and then based on the fine CFO value, simple criteria is used for the boundary decision of integer CFO estimation. The simulation results show that the performance of the proposed algorithm is slightly better than the conventional method while the computational complexity is reduced by 50%. Furthermore, the proposed method can be easily implemented for the low complex next generation MIMO-OFDM based WLAN systems.

A study on evaluation method of NIDS datasets in closed military network (군 폐쇄망 환경에서의 모의 네트워크 데이터 셋 평가 방법 연구)

  • Park, Yong-bin;Shin, Sung-uk;Lee, In-sup
    • Journal of Internet Computing and Services
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    • v.21 no.2
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    • pp.121-130
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    • 2020
  • This paper suggests evaluating the military closed network data as an image which is generated by Generative Adversarial Network (GAN), applying an image evaluation method such as the InceptionV3 model-based Inception Score (IS) and Frechet Inception Distance (FID). We employed the famous image classification models instead of the InceptionV3, added layers to those models, and converted the network data to an image in diverse ways. Experimental results show that the Densenet121 model with one added Dense Layer achieves the best performance in data converted using the arctangent algorithm and 8 * 8 size of the image.

An Improved Algorithm for Respiration Signal Extraction from Electrocardiogram Using Instantaneous Frequency Estimation based on Hilbert Transform (힐버트 변환에 기반한 순간주파수 추정을 이용한 개선된 심전도 유도 호흡신호 추출 알고리즘)

  • Park Sung-Bin;Yi Kye-Hyoung;Kim Kyung-Hwan;Yoon Hyoung-Ro
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.10
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    • pp.733-740
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    • 2004
  • In this paper, an improved algorithm for the extraction of respiration signal from the electrocardiogram (ECG) is proposed. The whole system consists of two-lead electrocardiogram acquisition (lead Ⅰ and Ⅱ), baseline fluctuation elimination, R-wave detection, adjustment of sudden change in R-wave area using moving average, and optimal lead selection. In order to solve the problem of previous algorithms for the ECG-derived respiration (EDR) signal acquisition, we proposed a method for the optimal lead selection. An optimal EDR signal among the three EDR signals derived from each lead (and arctangent of their ratio) is selected by estimating the instantaneous frequency using the Hilbert transform, and then choosing the signal with minimum variation of the instantaneous frequency. The proposed algorithm was tested on 15 subjects, and we could obtain satisfactory respiration signals that shows high correlation (r>0.9) with the signal acquired from the chest-belt respiration sensor.

A Solution for Green's Function of Orthotropic Plate (직교이방성 평판의 Green 함수에 대한 새로운 해)

  • Yang, Kyeong-Jin;Kang, Ki-Ju
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.3 s.258
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    • pp.365-372
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    • 2007
  • Revisited in this paper are Green's functions for unit concentrated forces in an infinite orthotropic Kirchhoff plate. Instead of obtaining Green's functions expressed in explicit forms in terms of Barnett-Lothe tensors and their associated tensors in cylindrical or dual coordinates systems, presented here are Green's functions expressed in two quasi-harmonic functions in a Cartesian coordinates system. These functions could be applied to thin plate problems regardless of whether the plate is homogeneous or inhomogeneous in the thickness direction. With a composite variable defined as $z=x_1+ipx_2$ which is adopted under the necessity of expressing the Green's functions in terms of two quasi-harmonic functions in a Cartesian coordinates system Stroh-like formalism for orthotropic Kirchhoffplates is evolved. Using some identities of logarithmic and arctangent functions given in this paper, the Green's functions are presented in terms of two quasi-harmonic functions. These forms of Green's functions are favorable to obtain the Newtonian potentials associated with defect problems. Thus, the defects in the orthotropic plate may be easily analyzed by way of the Green's function method.

Current-induced Phase Demodulation Using a PWM Sampling for a Fiber-optic CT

  • Park, Hyoung-Jun;Lee, June-Ho;Kim, Hyun-Jin;Song, Min-Ho
    • Journal of the Optical Society of Korea
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    • v.14 no.3
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    • pp.240-244
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    • 2010
  • In this work, we used PWM sampling for demodulation of a fiber-optic interferometric current transformer. The interference signal from a fiber-optic CT is sampled with PWM triggers that produce a 90-degree phase difference between two consecutively sampled signals. The current-induced phase is extracted by applying an arctangent demodulation and a phase unwrapping algorithm to the sampled signals. From experiments using the proposed demodulation, we obtained phase measurement accuracy and a linearity error, in AC current measurements, of ~2.35 mrad and 0.18%, respectively. The accuracy of the proposed method was compared with that of a lock-in amplifier demodulation, which showed only 0.36% difference. To compare the birefringence effects of different fiber-optic sensor coils, a flint glass fiber and a standard single-mode fiber were used under the same conditions. The flint glass fiber coil with a Faraday rotator mirror showed the best performance. Because of the simple hardware structure and signal processing, the proposed demodulation would be suitable for low-cost over-current monitoring in high voltage power systems.