• 제목/요약/키워드: Differential

검색결과 14,242건 처리시간 0.041초

ON THE GROWTH OF ALGEBROID SOLUTIONS OF ALGEBRAIC DIFFERENTIAL EQUATIONS

  • Manli Liu;Linlin Wu
    • 대한수학회보
    • /
    • 제61권3호
    • /
    • pp.597-610
    • /
    • 2024
  • Using the Nevanlinna value distribution theory of algebroid functions, this paper investigates the growth of two types of complex algebraic differential equation with algebroid solutions and obtains two results, which extend the growth of complex algebraic differential equation with meromorphic solutions obtained by Gao [4].

Application of VSI-EBG Structure to High-Speed Differential Signals for Wideband Suppression of Common-Mode Noise

  • Kim, Myunghoi;Kim, Sukjin;Bae, Bumhee;Cho, Jonghyun;Kim, Joungho;Kim, Jaehoon;Ahn, Do Seob
    • ETRI Journal
    • /
    • 제35권5호
    • /
    • pp.827-837
    • /
    • 2013
  • In this paper, we present wideband common-mode (CM) noise suppression using a vertical stepped impedance electromagnetic bandgap (VSI-EBG) structure for high-speed differential signals in multilayer printed circuit boards. This technique is an original design that enables us to apply the VSI-EBG structure to differential signals without sacrificing the differential characteristics. In addition, the analytical dispersion equations for the bandgap prediction of the CM propagation in the VSIEBG structure are extracted, and the closed-form expressions for the bandgap cutoff frequencies are derived. Based on the dispersion equations, the effects of the impedance ratio, the EBG patch length, and via inductances on the bandgap of the VSI-EBG structure for differential signals are thoroughly examined. The proposed dispersion equations are verified through agreement with the full-wave simulation results. It is experimentally demonstrated that the proposed VSI-EBG structure for differential signaling suppresses the CM noise in the wideband frequency range without degrading the differential characteristics.

특이발현과 특이공발현을 고려한 유의한 유전자 집단 탐색 (Identifying statistically significant gene sets based on differential expression and differential coexpression)

  • 이선호
    • 응용통계연구
    • /
    • 제29권3호
    • /
    • pp.437-448
    • /
    • 2016
  • 서로 상관있는 유전자들의 발현조절이 질병이나 종양의 발생에 영향을 미치기 때문에 단일유전자 분석 대신 공통의 생물학적 요소를 지닌 유전자 집단 분석이 각광을 받게 되었고 생물학적으로 좀더 설명하기 쉬운 결과를 얻게 되었다. 표현형에 따라 유의한 차이를 보이는 유전자 집단을 찾는 여러 방법들이 있지만, 대부분의 방법들이 집단에 속한 유전자들의 표현형에 따른 발현의 차이를 탐색하거나 유전자들 사이의 공발현 구조가 다른지 탐색하는 것이다. 본 연구에서는 특이발현과 특이공발현의 차이를 모두 고려하는 탐색방법을 제시하였고 p53이란 유전자 자료와 모의자료를 이용하여 제시한 방법의 성능을 알아 보았다.

Error Probability Expressions for Frame Synchronization Using Differential Correlation

  • Kim, Sang-Tae;Kim, Jae-Won;Shin, Dong-Joon;Chang, Dae-Ig;Sung, Won-Jin
    • Journal of Communications and Networks
    • /
    • 제12권6호
    • /
    • pp.582-591
    • /
    • 2010
  • Probabilistic modeling and analysis of correlation metrics have been receiving considerable interest for a long period of time because they can be used to evaluate the performance of communication receivers, including satellite broadcasting receivers. Although differential correlators have a simple structure and practical importance over channels with severe frequency offsets, closedform expressions for the output distribution of differential correlators do not exist. In this paper, we present detection error probability expressions for frame synchronization using differential correlation, and demonstrate their accuracy over channel parameters of practical interest. The derived formulas are presented in terms of the Marcum Q-function, and do not involve numerical integration, unlike the formulas derived in some previous studies. We first determine the distributions and error probabilities for single-span differential correlation metric, and then extend the result to multispan differential correlation metric with certain approximations. The results can be used for the performance analysis of various detection strategies that utilize the differential correlation structure.

차동검출기를 이용한 무선광연결에서 신호대잡음비의 개선 (Signal to Noise Improvement in Optical Wireless Interconnection Using A Differential Detector)

  • 이성호;강희창
    • 한국전자파학회논문지
    • /
    • 제10권1호
    • /
    • pp.54-62
    • /
    • 1999
  • 본 논문에서는 실내 무선광연결에 사용될 수 있는 차동검출기에서 잡음광의 결합비와 차동이득비에 따른 신호대 잡음비의 개선에 대하여 분석하고 실험하였다. 차동검출기는 2개의 포토다이오드와 1개의 차동증폭기 로 이루어지며, 차동이득비가 잡음광의 결합비와 같을 때 잡음광이 소거되어 약 20 dB의 선호대잡음비를 개 선하였다. 차통검출기는 실내의 무선광연결에서 주변의 강한 잡음광의 영향을 개선하거나 인접된 채널광에 의한 혼선의 영향을 없애는 데에 매우 효과적이다. 이 방법은 선호광과 유사한 파장의 잡음광이 발생하는 경 우에도 잡음개선효과가 았다.

  • PDF

미분방정식 지도에 대한 소고 (On a direction in the teaching of differential equations)

  • 박제남;장동숙
    • 한국수학교육학회지시리즈E:수학교육논문집
    • /
    • 제28권3호
    • /
    • pp.339-352
    • /
    • 2014
  • 본 연구에서는 2009 개정 교육과정에 따른 수학과 교육과정에서 도입한 미분방정식 지도를 위한 수학적 모델링을 소개한다. 2014년에 1개 출판사만으로 출간된 '고급수학 II'의 교과서는 이계미분방정식 y"+y=0의 풀이를 거듭제곱 급수 방법을 사용하고 있다. 이에 따른 문제점을 알아보고 그 대안을 제시한다. 또한, 고급수학 II 교과서는 기계적 시스템을 다루고 있지만 전기적 시스템은 다루지 않고 있다. 따라서 교과서에서 다루는 일 계미분방정식을 전기회로로 지도하는 방안을 제시한다. 끝으로 미분방정식 지도와 관련된 용어를 제시한다.

Iterative Multiple Symbol Differential Detection for Turbo Coded Differential Unitary Space-Time Modulation

  • Vanichchanunt, Pisit;Sangwongngam, Paramin;Nakpeerayuth, Suvit;Wuttisittikulkij, Lunchakorn
    • Journal of Communications and Networks
    • /
    • 제10권1호
    • /
    • pp.44-54
    • /
    • 2008
  • In this paper, an iterative multiple symbol differential detection for turbo coded differential unitary space-time modulation using a posteriori probability (APP) demodulator is investigated. Two approaches of different complexity based on linear prediction are presented to utilize the temporal correlation of fading for the APP demodulator. The first approach intends to take account of all possible previous symbols for linear prediction, thus requiring an increase of the number of trellis states of the APP demodulator. In contrast, the second approach applies Viterbi algorithm to assist the APP demodulator in estimating the previous symbols, hence allowing much reduced decoding complexity. These two approaches are found to provide a trade-off between performance and complexity. It is shown through simulation that both approaches can offer significant BER performance improvement over the conventional differential detection under both correlated slow and fast Rayleigh flat-fading channels. In addition, when comparing the first approach to a modified bit-interleaved turbo coded differential space-time modulation counterpart of comparable decoding complexity, the proposed decoding structure can offer performance gain over 3 dB at BER of $10^{-5}$.

콘크리트 믹서 트럭용 믹서 감속기의 차동 유성 기어 트레인에 대한 위험속도 해석 (The Critical Speed Analysis of the Differential Planetary Gear Train of a Concrete Mixer Truck Mixer Reducer)

  • 배명호;배태열;김당주
    • 드라이브 ㆍ 컨트롤
    • /
    • 제14권1호
    • /
    • pp.1-7
    • /
    • 2017
  • The power train of a concrete truck mixer reducer includes differential planetary gears to get a large reduction ratio for operating the mixer drum in a compact structure. These differential planetary gears are a very important part of the mixer reducer where strength problems are the main concern. Gear bending stress, gear compressive stress and scoring failure are the main concerns. Many failures in differential planetary gears are due to the insufficient gear strength and resonance problems caused by major excitation forces such as gear mating failure in the transmission. In the present study, where the excitation frequencies are the gear tooth passing frequencies of the mating gears, a Campbell diagram is used to calculate differential planetary gear critical speeds. Mode shapes and natural frequencies of the differential planetary gears are calculated by CATIA V5. These are used to predict gear resonance failures by comparing the working speed range with the critical speeds due to the gear transmission errors of the differential planetary gears.

Y-$\Delta$ 변압기 보호용 수정 전류차동 계전기 (Modified Current Differential Relay for Y-$\Delta$ Transformer Protection)

  • 강용철;김은숙;이병은
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2004년도 추계학술대회 논문집 전력기술부문
    • /
    • pp.9-13
    • /
    • 2004
  • This paper proposes a modified current differential relay for Y-$\Delta$ transformer protection. The relay uses the same restraining current as a conventional relay, but the differential current is modified to compensate for the effects of the exciting current. A method to estimate the circulating component of the delta winding current is proposed. To cope with the remanent flux, before saturation, the core-loss current is calculated and used to modify the measured differential current. When the core then enters saturation, the initial value of the flux is obtained by inserting the modified differential current at the start of saturation into the magnetization cure. Thereafter, the core flux is then derived and used in conjunction with the magnetization curve to calculate the magnetizing current. A modified differential current is then derived that compensates for the core-loss and magnetizing currents. The performance of the proposed differential relay was compared against a conventional differential relay. Test results indicate that the modified relay remained stable during severe magnetic inrush and over-excitation because the exciting current was successfully compensated. The relay correctly discriminates magnetic inrush and over-excitation from an internal fault and is not affected by the level of remanent flux.

  • PDF

Balancing 모듈 설계를 위한 Differential Gear System의 구조해석에 관한 연구 (Structural Analysis of Differential Gear System for Balancing Module Design)

  • 장태환;김동준;문창호;이성재;김태규
    • 열처리공학회지
    • /
    • 제32권6호
    • /
    • pp.270-274
    • /
    • 2019
  • In this study, simulation structure analysis was performed for the differential gear system for passenger cars as a prerequisite for the design of the balancing module. The differential gear system was modeled by using CATIA and simulation structure analysis was performed using ANSYS software. The material of the modeled differential gear system uses the mechanical properties of S45C (Q&T). In the structural analysis of the differential gear, the areas where the maximum stress and the maximum strain occurred can be identified. The maximum stress and maximum strain occurred in the pitch circle of the bevel gear. In evaluating the safety factor, it was found that sufficient safety factor was secured. Based on the analysis results for the differential gear, it is expected that it will be a good reference if we design the balancing module device.