• Title/Summary/Keyword: Bessel 함수

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Generation and Characteristics of Exponential Pulse Shaping Functions using Chebychev Identity Equation and Bessel Coefficients (Chebychev 항등식과 Bessel 계수를 이용한 지수펄스모형함수 생성 및 특성)

  • Lee, Jeong-Jae;Park, Sun-Kwang
    • Journal of the Institute of Convergence Signal Processing
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    • v.10 no.1
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    • pp.60-65
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    • 2009
  • In this paper, we propose a new exponential pulse shaping function based on Chebychev identity equation and Bessel coefficients. The proposed pulse shaping function can produce various pulses with the different characteristics in the time and frequency domain by changing its two parameters. By differentiating the exponential pulse shaping function, we obtain new different pulse functions, in which the even order derivatives of the exponential pulse shaping function are orthogonal to its odd order derivatives. To find the efficiency of the proposed exponential pulse shaping function we analyze its essential characteristics and compare them with those of the conventional Gaussian pulses. We can choose the most suitable exponential pulse waveform according to the design criteria of communication systems.

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Simultaneous Extrapolations Using Bessel and Chebyshev Functions (Bessel와 Chebyshev 함수를 이용한 동시 추정에 관한 기법)

  • 강석진;차정근;윤호태;고진환
    • Proceedings of the Korean Information Science Society Conference
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    • 2003.04d
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    • pp.70-72
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    • 2003
  • 전자계 산란의 시간영역 신호는 대응하는 주파수 영역 응답에 대해서도 동시에 효율적인 방법으로 나타낼 수 있는 이유는 다항식의 직교하는 성질 때문이다. 직교 다항식을 이용함으로써, 이른 시간과 낮은 주파수 영역을 동시에 추정할 수 있다 그 접근법은 CGM(Conjugate Gradient Method)방법과 간단한 DFT(Discrete Fourier transform)에 의거한다. 본 논문에서는 Bessel-Chebyshev 함수를 이용한 이른 시간과 낮은 주파수영역 응답을 동시에 추정하기 위한 접근의 방법을 제시하고, 구현하였다. 오직 이른 시간과 낮은 주파수 정보를 필요로 하기 때문에 이 방법으로 계산시 반복계산의 수렴속도가 무척 빠르다는 이점이 있어, 신속한 정보를 얻을 수 있다.

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Distance Attenuation of Bending Wave to Analyze the Loose Parts Impact Signal (금속파편 충격 신호분석을 위한 굽힘파의 거리 감쇠)

  • Lee, Jeong-Han;Park, Jin-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.5
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    • pp.594-601
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    • 2016
  • Mass estimation analysis of loose-parts in pressure vessel is necessary for the structural integrity assessment of pressure boundary in nuclear power plants. Mass of loose-parts can be generally estimated from the peak values and the center frequency of impact signals. Magnitude of impact signals is, however, inevitably attenuated according to the traveling distance of the signals and depending on the frequencies. Attenuation rate must be therefore carefully compensated for the precise estimation of loose-part mass. This paper proposes a new compensation method for the attenuation rate based on Bessel function instead of Hankel function in conventional method which has a limitation of usage in near the impact location. It was verified that the suggested compensating equation based on the Bessel function can be applied to the attenuation rate calculation without any limitation.

Comparison of Recognition Performance for Preprocessing Method of USE STSA with Approximated Modified Bessel Function (Modified Bessel 함수 근사화를 적용한 MMSE STSA 전처리 기법의 음성인식 성능 비교)

  • Son Jong Mok;Kim Min Sung;Bae Keun Sung
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.125-128
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    • 2001
  • 본 연구에서는 음성신호의 왜곡에 대해 음성 부재 확률을 고려한 MMSE(Minimum Mean Square Error) STSA(Short-Time Spectral Amplitude Estimator)를 전처리기로 도입하여 HMM(Hidden Markov Model)에 기반 한 음성인식시스템의 인식성능을 평가하였다. 음성인식 시스템의 실시간 구현을 고려하여, MMSE STSA 기법을 음성개선을 위한 전처리기로 사용할 때 MMSE STSA의 이득계산 과정에서 많은 계산량이 요구되는 modified Bessel 함수를 근사 화하여 사용하였다.

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Treatment of Inclined Boundaries in a Finite Element Model for the Mild-Slope Equation (완경사 방정식을 이용한 유한요소모형에서 경사경계의 처리)

  • Jung, Tae-Hwa;Ryu, Yong-Uk
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.24 no.2
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    • pp.84-88
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    • 2012
  • A numerical skill for effective treatment of inclined boundaries in a finite element method is introduced. A finite element method has been frequently used to simulate hydraulic phenomena in a coastal zone since it can be applied to irregular and complex geometry. In case elliptic partial equations are governing equations for a finite element model, however, there is a difficulty in treating boundary conditions properly for cases in which boundaries are vertically inclined. In this study, a method to treat such inclined boundaries using Bessel functions for a finite element method is introduced and compared with analytical solutions.

A Noncoherent Method for Sequential Code Acquisition with Simplified Structure Based on Approximated Bessel Function (어림 베셀함수를 바탕으로 얼개를 간단히 한 비동위상 순차 부호획득 방법)

  • Kwon, Hyoung-Moon;Lee, Ju-Mi;Yoon, Seok-Ho;Lee, Sung-Ro;Song, Iick-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.9C
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    • pp.955-963
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    • 2005
  • In this paper, we consider the noncoherent code acquisition problem using sequential schemes. We show that the outputs of the noncoherent receiver approximately have a central chi-square distribution under the null hypothesis through simulations. Based on this observation, simplified acquisition schemes are obtained using the approximations of the Bessel function. The performance of the simplified and original schemes are compared in additive white Gaussian noise and slowly varying fading channels. Numerical results show that the simplified schemes have essentially the same performance as the original schemes.

The determination of state feedback gains of XPTOS for disk drive servomechanism based on BESSEL filter prototype (XPTOS에 의한 디스크 드라이브 서보메커니즘의 구성시 BESSEL 필터 표준 함수에 근거한 상태피드백이득 결정)

  • Han, K.H.;Lee, J.S.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.980-983
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    • 1996
  • This paper presents the method of determining state feedback gains of XPTOS for disk drive servomechanism based BESSEL filter prototype. A typical disk drive actuator can be modeled as second order dynamics for low frequencies. However, the response at higher frequencies shows resonant behavior which cannot be easily modeled. XPTOS consists of the nonlinear control region and the linear control region. In the linear control region, the poles of a second order nominal model of plant must be properly relocated by pole placement technique to attenuate resonant modes at high frequency and to attain minimum time state transition. It is difficult to select position to satisfy this object because velocity feedback gain is subjected to position feedback gain in XPTOS. Here poles of BESSEL filter prototype are selected to determine state feedback gains of XPTOS. Simulation results for disk drive servomechanism using XPTOS having state feedback gains by the proposed method are presented.

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Apparent Soil Resistivity Calculation Using Complex Image Method (복소수이미지 방법을 이용한 겉보기 대지저항률 계산)

  • Kim, Ho-Chan;Boo, Chang-Jin;Kang, Min-Jae
    • Journal of IKEEE
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    • v.23 no.1
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    • pp.318-321
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    • 2019
  • The apparent soil resistivity is used for estimating multilayer soil parameters, such as, layer's depth and soil resistivity. The apparent soil resistivity can be measured, and also can be calculated if soil parameters are given, becacuse the apparent soil resistivity is a function of these parameters. Therefore, any optimization algorithms can be used to find these parameters which make the calculated apparent soil resistivity close to the measured one. The equation for calculating the apparent soil resistivity is complicated and time consumed, because it is composed of an infinite integral which includes a zero order Bessel's function of the first kind. In this paper, a fast algorithm for calculating the apparent soil resistivity of horizontal multilayer earth structure has been presented using complex image method.

Analytical Evaluation of MoM Matrix Elements Based upon a New Closed-Form Greenos Functions (새로운 Closed-Form 그린함수에 근거를 둔 MoM 행렬 요소의 해석적 계산)

  • 김의중;이상준;이영순
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.5
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    • pp.499-508
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    • 2004
  • An efficient method of moments(MoM), which can lead to the analytical evaluation of the matrix elements, is proposed to analyze microstrip structures. The present method is formulated in conjunction with use of a new closed-form spatial-domain Green's functions which are derived by use of the integral formula for semi-infinite integrals of Bessel functions. It is observed that the computational efficiency such as the amount of calculation and computation speed has been improved due to the present MoM scheme by a factor of about 4 in comparison with the previous method. To validate the proposed method, several numerical examples are presented.

Lateral Vibration Analysis of a Nonuniform Beam by Ritz's Method (Ritz법에 의한 비균일 단면 외팔보의 횡진동 해석)

  • Park, Sok-Chu
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.10
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    • pp.946-949
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    • 2007
  • This paper discusses the lateral vibration of a beam with boundary condition of one end fixed and the other end free. The uniform beam has a solution by summation of some simple exponential functions. But if its shape is not uniform, its solution could be by Bessel's function or mathematical solution could not exist. Even if the solution of Bessel's function exists, as Bessel function is a series function, we must get the solution by numerical method. Author had proposed the solution of the matrix method by Ritz's method and a new mode shape function, and had earned the good results for a wedge beam. Hereby a vibration analysis for the tapered beam with circle cross section was executed, and so good results were showed.