• Title/Summary/Keyword: Fourier Sine Transform

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APPARENT INTEGRALS MOUNTED WITH THE BESSEL-STRUVE KERNEL FUNCTION

  • Khan, N.U.;Khan, S.W.
    • Honam Mathematical Journal
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    • v.41 no.1
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    • pp.163-174
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    • 2019
  • The veritable pursuit of this exegesis is to exhibit integrals affined with the Bessel-Struve kernel function, which are explicitly inscribed in terms of generalized (Wright) hypergeometric function and also the product of generalized (Wright) hypergeometric function with sum of two confluent hypergeometric functions. Somewhat integrals involving exponential functions, modified Bessel functions and Struve functions of order zero and one are also obtained as special cases of our chief results.

Measurement and prediction of geometric imperfections in structural stainless steel members

  • Cruise, R.B.;Gardner, L.
    • Structural Engineering and Mechanics
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    • v.24 no.1
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    • pp.63-89
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    • 2006
  • Geometric imperfections have an important influence on the buckling response of structural components. This paper describes an experimental technique for determining imperfections in long (5.7 m) structural members using a series of overlapping measurements. Measurements were performed on 31 austenitic stainless steel sections formed from three different production routes: hot-rolling, cold-rolling and press-braking. Spectral analysis was carried out on the imperfections to obtain information on the periodic nature of the profiles. Two series were used to model the profile firstly the orthogonal cosine and sine functions in a classic Fourier transform and secondly a half sine series. Results were compared to the relevant tolerance standards. Simple predictive tools for both local and global imperfections have been developed to enable representative geometric imperfections to be incorporated into numerical models and design methods.

Stability analysis of the rotating and stationary grooved journal bearings (정지홈과 회전홈을 갖는 저널베어링의 안정성 평가)

  • Lee, M.H.;Lee, J.H.;Jang, G.H.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.04a
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    • pp.141-146
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    • 2013
  • This research investigates the stability analysis for the rotating and the stationary grooved journal bearing. The dynamic coefficients of the journal bearing are calculated by using FEM and the perturbation method. When journal bearing is in whirling motion, the dynamic coefficients have time-varying components as a sine wave due to the reaction force of oil film toward the center of journal even in the steady state. The solutions for the equations of motion can be assumed as the Fourier series expansion. The equations of motion can be rewritten as the linear algebraic equations with respect to the Fourier coefficients. Then, stability of the grooved journal bearing can be calculated by Hill's infinite determinant. The periodic function of dynamic coefficients is derived using Fourier Fast Transform(FFT).The stability of journal bearing is determined as rotating speed increases and the stability of rotating grooved journal bearing is compared and discussed with the stability of stationary grooved journal bearing.

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Target Altitude Extraction for Multibeam Surveillance Radar in Normal Environmental Condition (정상 환경 상태에서 다중 빔 탐색 레이다의 표적 고도 추출)

  • Chung, Myung-Soo;Park, Dong-Chul
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.18 no.9
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    • pp.1090-1097
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    • 2007
  • The multibeam surveillance radar is a state-of art of 3D radar technology. It applies the stacked beam-on-received realized by a digital beamformer. In this paper, a design concept of beamformer and a method of target altitude extraction for multibeam surveillance radar in the normal environmental condition considering no multipath situations are proposed and investigated. The extraction algorithm based on antenna sine space coordinated system in a FFT digital beamformer is described. The proposed algorithm is simulated by 1 look-up table data and confirmed to have consistent results in accordance with a variety of target altitudes and a full radar frequency range.

Modified CSD Group Multiplier Design for Predetermined Coefficient Groups (그룹 곱셈 계수를 위한 Modified CSD 그룹 곱셈기 디자인)

  • Kim, Yong-Eun;Xu, Yi-Nan;Chung, Jin-Gyun
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.44 no.9
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    • pp.48-53
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    • 2007
  • Some digital signal processing applications, such as FFT, request multiplications with a group(or, groups) of a few predetermined coefficients. In this paper, based on the modified CSD algorithm, an efficient multiplier design method for predetermined coefficient groups is proposed. In the multiplier design for sine-cosine generator used in direct digital frequency synthesizer(DDFS), and in the multiplier design used in 128 point $radix-2^4$ FFT, it is shown that the area, power and delay time can be reduced up to 34%.

Dynamic characteristics of an elastically supported beam (탄성적으로 지지된 보의 동특성)

  • 정태진;박영조;홍동표
    • Journal of the korean Society of Automotive Engineers
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    • v.8 no.2
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    • pp.43-50
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    • 1986
  • Numerical analysis has been made on the dynamic behavior of an elastically supported beam subjected to an axial force and solid viscosity when the frequency of external force passes through the first critical frequency of the beam. Within the Euler-Bernoulli beam theory the solutions are obtained by using finite Fourier sine transform and Laplace transformation methods with respect to space and time variables. Integrations involved in the theoretical results are carried out by Simpson's numerical integration rule. The result shows that the maximum value of the dynamic deflection are much affected by the value of a solid viscosity, an axial force, an elastic constant and ratio of .omega.$_{max}$/.omega.$_{1}$.

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A new Implementation of Perceptual LPC Cepstrum and its Application to Speech Recognition (인지 LPC cepstrum의 새로운 구현 및 음성인식에의 적용)

  • Kim, Jin-Young;Choi, Seong-Ho
    • The Journal of the Acoustical Society of Korea
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    • v.15 no.5
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    • pp.61-64
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    • 1996
  • To improve the performance of a recognition system, namely the recognition rate, we propose a hew implementation of perceptual distance using LPC cepstrum(perceptual cepstrum, PLC). The PLC is caculated by convolution of a usual LPC cepstrum and a perceptual lifter(PL). To caculate PL, we define a new weighting function in the linear frequency domain considering the frequency scale(Bark-scale) characteristics. The PL is the inverse Fourier transform of the exponents of the weighting function. We verified our method through the speech recognition experiments. The performance of PLC was compared with that of the rasied sine liftering method.

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Real-Time Implementation of Power Frequency Estimation Algorithm Based on a Three-Level Discrete Fourier Transform (3레벨 DFT 기반 계통주파수 측정 알고리즘의 실시간 구현에 관한 연구)

  • Moon, JoonHyuck;son, DaeHee;Song, JiHyun;Song, MyeongHoon;Lee, SeungHee;Kang, SangHee;Nam, SoonRyul
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.579-580
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    • 2015
  • Power frequency is one of important operational parameters evaluating reliability, stability, and measuring efficiency of power. Therefore, an accurate and fast estimate of the power frequency is required. The magnitude gains of cosine and sine filters become different when the power frequency is deviated from the nominal value. The proposed algorithm estimates the power frequency based on this. To demonstrate the performance of the proposed algorithm, RTDS and DSP are used. The simulation results show that the algorithm has not only a high level of robustness but also high measurement accuracy over a wide range of frequency changes. In addition, the algorithm was immune to harmonics and noise.

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A Frequency Analysis of the Control Input for Right Test (비행시험용 조종입력의 주파수분석)

  • Kwon Tae-Hee;Chang Jae-Won;Choi Sun-Woo;Seong Kie-Jeong
    • Journal of the Korea Institute of Military Science and Technology
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    • v.8 no.1 s.20
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    • pp.39-48
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    • 2005
  • After the development of the Firefly, flight tests have been performed to verify the performance and get the parameters for the mathematical model of the aircraft. The flight test data is used to get parameters for the mathematical model of the aircraft through the parameter identification process. An arbitrary control input is applied to the test flight which is a part of parameter identification process. A square wave has been used a control input which is called Doublet signal. The aspect of the signal is same length and magnitude in both (+) and (-) directions such as sine wave. The Doublet signal is composed of a dominant frequency and many high frequencies, so that it is appropriate signal to excite the motion of an aircraft. In this paper, the control input of the flight test data has been analyzed to check the efficiency of the control input using DFT(Discrete Fourier Transform). From the result of analysis, an alternative input was extracted.

Performance analysis of multi-carrier CDMA system using an orthogonal pair of quadrature filter banks (직교 쌍 필터 뱅크 기반 다중 반송파 CDMA 시스템의 성능분석)

  • 이재철
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.9B
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    • pp.1570-1578
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    • 2000
  • A quadrature pair of filter banks that are composed of a pair of cosine and sine modulated filter banks is applied to MC-CDMA data transmultiplexing in the view point of mitigating inter-channel interferences. Exploiting superior capabilities of wavelet properties in composing the filter banks the proposed scheme is capable of compromising inter-channel interference problems better than the conventional DFT-based MC-CDMA due to superior subchannelization effects. To verify the behavior of our proposed MC-CDMA system based on the quadrature filter banks the reverse-link bit error rates with respect to signal-to-noise ratio under Rayleigth fading and additive white Gaussian noise channel environments are computed. The results show an improved system performance over the conventional MC-CDMA in the view point of minimizing interference effects.

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