• Title/Summary/Keyword: Function Domain

Search Result 2,066, Processing Time 0.029 seconds

Simplification of Linear Time-Invariant Systems by Least Squares Method (최소자승법을 이용한 선형시불변시스템의 간소화)

  • 추연석;문환영
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.6 no.5
    • /
    • pp.339-344
    • /
    • 2000
  • This paper is concerned with the simplification of complex linear time-invariant systems. A simple technique is suggested using the well-known least squares method in the frequency domain. Given a high-order transfer function in the s- or z-domain, the squared-gain function corresponding to a low-order model is computed by the least squares method. Then, the low-order transfer function is obtained through the factorization. Three examples are given to illustrate the efficiency of the proposed method.

  • PDF

The Comparative Effect of Time-Frequency Distribution Function in a Time-Frequency Domain Reflectometry System (시간-주파수 영역 반사파 계측 시스템에서 다양한 시간-주파수 분포 함수의 영향 연구)

  • Kwak, Ki-Seok;Tok, Son-Choe;Tae, Sung-Yoon;Jin, Bae-Park;Jae, Won-Kho
    • Proceedings of the KIEE Conference
    • /
    • 2004.07d
    • /
    • pp.2149-2151
    • /
    • 2004
  • The time-frequency domain reflectometry(TFDR) is well known to detect and locate a fault in a coaxial cable[3]. Traditional reflectometry methods have been achieved in either the time domain or frequency domain only. However, the time-frequency domain reflectometry utilizes time and frequency information of a reflected signal passed through a cable to detect and locate the fault. The purpose of this paper is to find appropriate time-frequency distribution function suitable for a TFDR system. Choosing the appropriate time-frequency distribution function implies one can detect the fault and estimate the location accurately. We consider and compare adequate time-frequency distribution function on the basis of experimental results.

  • PDF

Numerical Study of the Radiation Potential of a Ship Using the 3D Time-Domain Forward-Speed Free-Surface Green Function and a Second-Order BEM (3 차원 시간영역 전진속도 자유표면 Green 함수와 2 차 경계요소법을 사용한 선체의 방사포텐셜 수치계산)

  • Hong, Do-Chun;Hong, Sa-Young
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.45 no.3
    • /
    • pp.258-268
    • /
    • 2008
  • The radiation potential of a ship advancing in waves is studied using the 3D time-domain forward-speed free-surface Green function and the Green integral equation. Numerical solutions are obtained by making use of the 2nd order BEM(Boundary Element Method) which make it possible to take account of the line integral along the waterline in a rigorous manner. The 6 degree of freedom motion memory functions of a hemisphere and the Wigley seakeeping model obtained by direct integration of the time-domain 3D potentials over the wetted surface are presented for various Froude numbers.

Fast Scattered-Field Calculation using Windowed Green Functions (윈도우 그린함수를 이용한 고속 산란필드 계산)

  • 주세훈;김형훈;김형동
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.12 no.7
    • /
    • pp.1122-1130
    • /
    • 2001
  • In this paper, by applying the spectral domain wavelet concept to Green function, a fast spectral domain calculation of scattered fields is proposed to get the solution for the radiation integral. The spectral domain wavelet transform to represent Green function is implemented equivalently in space via the constant-Q windowing technique. The radiation integral can be calculated efficiently in the spectral domain using the windowed Green function expanded by its eigen functions around the observation region. Finally, the same formulation as that of the conventional fast multipole method (FMM) is obtained through the windowed Green function and the spectral domain calculation of the radiation integral.

  • PDF

Linear Time Domain Analysis of Radiation Problems (시간영역법에 의한 강제동요시 동유체력 해석)

  • I.Y.,Gong;K.P.,Rhee
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.24 no.4
    • /
    • pp.9-18
    • /
    • 1987
  • The hydrodynamic radiation forces acting on a ship travelling in waves have been conventionally treated by strip theories or by direct three dimensional approaches, most of which have been formulated in frequency domain. If the forward speed of a ship varies with time, or if its path is not a straight line, conventional frequency domain analysis can no more be used, and for these cases time domain analysis may be used. In this paper, formulations are made in time domain with applications to some problems the results of which are known in frequency domain. And the results of both domains are compared to show the characteristics and validity of time domain solutions. The radiation forces acting on a three dimensional body within the framework of a linear theory. If the linearity of entire system is assumed, radiation forces due to arbitrary ship motions can be expressed by the convolution integral of the arbitrary motion velocity and the so called impulse response function. Numerical calculations are done for some bodies of simple shapes and Series-60[$C_B=0.7$] ship model. For all cases, integral equation techniques with transient Green's function are used, and velocity or acceleration potentials are obtained as the solution of the integral equations. In liner systems, time domain solutions are related with frequency domain solutions by Fourier transform. Therefore time domain solutions are Fourier transformed by suitable relations and the results are compared with various frequency domain solutions, which show good agreements.

  • PDF

A study of the in-service teachers' and pre-service teachers' recognition the domain in the problem of the continuity of a function (함수의 연속을 판단하는 문제에서 현직교사와 예비교사의 정의역 인식 조사)

  • Lee, Se Hyung;Chang, Hyun Suk;Lee, Dong Won
    • The Mathematical Education
    • /
    • v.57 no.4
    • /
    • pp.477-491
    • /
    • 2018
  • In this paper we study in-service teachers' and pre-service teachers' recognition the domain in the problem concerning the continuity of a function. By a questionnaire survey we find out that most of in-service teachers and pre-service teachers are understanding the continuity of a function as explained in high school mathematics textbook, in which the continuity was defined by and focused on comparing the limit with the value of the function. We also notice that this kind of definition for the continuity of a function makes them trouble to figure out whether a function is continuous at an isolated point, and to determine that a given function is continuous on a region by not considering its domain explicitly. Based on these results we made several suggestions to improve for in-service teachers and pre-service teachers to understand the continuity of a function more exactly, including an introduction of a more formal words usage such as 'continuous on a region' in high school classroom.

A Contrastive Study on '됐어' and 'X了': Focusing on the Functions as a Discourse Marker (한국어 '됐어'와 중국어 'X了(료)'의 대조 연구 -담화표지로서의 기능을 중심으로-)

  • Zhang, Ya Nan
    • Journal of Korean language education
    • /
    • v.28 no.4
    • /
    • pp.181-219
    • /
    • 2017
  • The purpose of this study is to review the functions of {됐어} and {X了} as a discourse marker on different levels, and to examine their similarities and differences. {됐어} has not been widely recognized as a discourse marker in the field of Korean linguistics and Korean language education. Therefore, in order to establish the identity of {됐어} as a discourse marker, the reasons that {됐어} can be regarded as discourse marker were explained prior to the contrastive analysis. As to the method of contrastive analysis for {됐어} and {X了}, they were analyzed on three main dimensions: that is, the textual dimension, the interpersonal dimension, and the metalinguistic dimension in the corpus consisting of scripts of Korean and Chinese sitcoms. The results are as follows. In the textual domain, {됐어} and {X了} have the function of closing the topic in common, while {X了} can indicate a new topic and transmit a topic. In terms of functions in the interpersonal domain, {됐어} and {X了} are commonly used to refuse a partner's proposal or request and to interrupt a partner's speech or action. Furthermore, in the interactional aspect, {됐어} and {X了} performs the function of expressing a response to a preceding utterance and taking the turn of speaking. The difference between them in the interpersonal domain is that {X了} performs the function of correcting a speaker's utterance. In the metalinguistic domain, {됐어} and {X了} are common in that they perform the function of expressing the dissatisfaction of the speaker, showing generosity and making a compromise with the addressee. {X了}'s distinguishing characteristics in this domain is that it can express the attitude of consoling the hearer.

Error Analysis Caused by Using the Dftin Numerical Evaluation of Rayleigh's Integral (레일리 인테그랄의 수치해석상 오차에 대한 이론적 고찰)

  • Kim, Sun-I.
    • Journal of Biomedical Engineering Research
    • /
    • v.10 no.3
    • /
    • pp.323-330
    • /
    • 1989
  • Large bias errors which occur during a numerical evaluation of the Rayleigh's integral is not due to the replicated source problem but due to the coincidence of singularities of the Green's function and the sampling points in Fourier domain. We found that there is no replicated source problem in evaluating the Rayleigh's integral numerically by the reason of the periodic assumption of the input sequence in Dn or by the periodic sampling of the Green's function in the Fourier domain. The wrap around error is not due to an overlap of the individual adjacent sources but berallse of the undersampling of the Green's function in the frequency domain. The replicated and overlApped one is inverse Fourier transformed Green's function rather than the source function.

  • PDF

An Accurate Closed-form Green's Function for the Planar Structure with General Sources (일반적인 전원을 포함하는 평판구조에 대한 정확한 Closed-form 그린함수)

  • Kang Yeon-Duk;Lee Taek-Kyung
    • Journal of the Institute of Electronics Engineers of Korea TC
    • /
    • v.41 no.6 s.324
    • /
    • pp.79-86
    • /
    • 2004
  • In the integration of Sommerfeld type for space domain Green's function, a accurate closed-from Green's function method provides more exact solution than the typical complex image method and two-level method. The accurate closed-form Green's function method is applied to obtain the space domain Green's functions of planar structures with general sources. Please put the abstract of paper here.

Partial Spectrum Detection and Super-Gaussian Window Function for Ultrahigh-resolution Spectral-domain Optical Coherence Tomography with a Linear-k Spectrometer

  • Hyun-Ji, Lee;Sang-Won, Lee
    • Current Optics and Photonics
    • /
    • v.7 no.1
    • /
    • pp.73-82
    • /
    • 2023
  • In this study, we demonstrate ultrahigh-resolution spectral-domain optical coherence tomography with a 200-kHz line rate using a superluminescent diode with a -3-dB bandwidth of 100 nm at 849 nm. To increase the line rate, a subset of the total number of camera pixels is used. In addition, a partial-spectrum detection method is used to obtain OCT images within an imaging depth of 2.1 mm while maintaining ultrahigh axial resolution. The partially detected spectrum has a flat-topped intensity profile, and side lobes occur after fast Fourier transformation. Consequently, we propose and apply the super-Gaussian window function as a new window function, to reduce the side lobes and obtain a result that is close to that of the axial-resolution condition with no window function applied. Upon application of the super-Gaussian window function, the result is close to the ultrahigh axial resolution of 4.2 ㎛ in air, corresponding to 3.1 ㎛ in tissue (n = 1.35).