• 제목/요약/키워드: elliptic function

검색결과 144건 처리시간 0.024초

Hybrid Self-Tuning Method for the Fuzzy Inference System Using Hyper Elliptic Gaussian Membership Function (초타원 가우시안 소속함수를 사용한 퍼지 추론 시스템의 하이브리드 자기 동조 기법)

  • Kwon, Ok-Kook;Chang, Wook;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 대한전기학회 1997년도 하계학술대회 논문집 B
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    • pp.379-382
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    • 1997
  • We present a hybrid self-tuning method using hyper elliptic Gaussian membership function. The proposed method applies a GA to identify the structure and the parameters of a fuzzy inference system. The parameters obtained by a GA, however, are near optimal solutions. So we solve this problem through a backpropagation-type gradient method. It is called GA hybrid self-tuning method in this paper. We provide a numerical example to evaluate the advantage and effectiveness of the proposed approach and compare with the conventional method.

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A Study on a 4-Pole Singly Terminated Dual-Mode Elliptic Function Filter for Ka band Satellite Applications (Ka 대역 위성중계기용 4차 단일종단 이중모드 타원응답 필터에 관한 연구)

  • 염인복;이주섭;엄만석;이성팔;오승엽
    • Proceedings of the IEEK Conference
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    • 대한전자공학회 2003년도 통신소사이어티 추계학술대회논문집
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    • pp.68-71
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    • 2003
  • An output multiplexer of manifold type is widely employed in a recent satellite transponder due to its small size and mass. For correct operation, channel fillers in manifold multiplexer must be singly terminated. In this paper, a simple synthesis method fur a single terminated filter is described. From the given method, a 4-pole singly terminated elliptic function filter for Ka band satellite transponder is designed. The filter is shown to be suitable for satellite application and its measured results agrees well with computed ones.

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A Compact C-Band Semi-Lumped Lowpass Filter with Broad Stopband Using a Chip Inductor (칩 인덕터를 사용하여 광대역 저지 특성을 갖는 소형 C-밴드 Semi-Lumped 저역 통과 여파기)

  • Jang, Ki-Eon;Lee, Gi-Moon;Kim, Ha-Chul;Choi, Hyun-Chul
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • 제23권12호
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    • pp.1359-1364
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    • 2012
  • The C-band semi-lumped lowpass filter with broad stopband and compact size characteristic using chip inductor is proposed. To provide an additional attenuation pole in stopband by SRF, a separable inductor is added to proposed structure, and it has broad stopband characteristic. The third order elliptic function lowpass filter with chip inductor(L: 9.1 nH, SRF: 5.5 GHz, Q: 25) has insertion loss of 0.38 dB, cutoff frequency of 920 MHz, broad stopband(below 20 dB) of 1.43~7.8 GHz and the size is reduced 37.4 % compared to distributed inductor.

A Security SoC supporting ECC based Public-Key Security Protocols (ECC 기반의 공개키 보안 프로토콜을 지원하는 보안 SoC)

  • Kim, Dong-Seong;Shin, Kyung-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • 제24권11호
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    • pp.1470-1476
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    • 2020
  • This paper describes a design of a lightweight security system-on-chip (SoC) suitable for the implementation of security protocols for IoT and mobile devices. The security SoC using Cortex-M0 as a CPU integrates hardware crypto engines including an elliptic curve cryptography (ECC) core, a SHA3 hash core, an ARIA-AES block cipher core and a true random number generator (TRNG) core. The ECC core was designed to support twenty elliptic curves over both prime field and binary field defined in the SEC2, and was based on a word-based Montgomery multiplier in which the partial product generations/additions and modular reductions are processed in a sub-pipelining manner. The H/W-S/W co-operation for elliptic curve digital signature algorithm (EC-DSA) protocol was demonstrated by implementing the security SoC on a Cyclone-5 FPGA device. The security SoC, synthesized with a 65-nm CMOS cell library, occupies 193,312 gate equivalents (GEs) and 84 kbytes of RAM.

The Wavelet Series Analysis for the Fourth-order Elliptic Differential Equation (4계 타원형 미분 방정식을 위한 웨이블릿 급수해석)

  • Jo, Jun-Hyung;Woo, Kwang-Sung;Sin, Young-Sik
    • Journal of the Computational Structural Engineering Institute of Korea
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    • 제24권4호
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    • pp.355-364
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    • 2011
  • In this study, the details of WSA(wavelet series analysis) have been demonstrated to solve the 4th-order elliptic differential equation. It is clear to solve the 2nd-order elliptic differential equation with the basis function of Hat wavelet series that is used in the previous study existed in $H^1$-space. However, it is difficult to solve the 4th order differential equation with same basis function of Hat wavelet series because of insufficient differentiability and integrability. To overcome this problem, the linear equations in terms of moment and deflection have been formulated and solved sequentially that are similar to extension of Elastic Load Method and Moment Area Method in some senses. Also, the differences and common points between the proposed method and the meshless method are discussed in the procedure of WSA formulation. As we expect, it is easy to ascertain that the more terms of Hat wavelet series are used, the better numerical solutions are improved. Also the solutions obtained by WSA have been compared with the conventional FEM solutions in case of Euler beam problems with stress singularity.

Automated Body-Fitted Grid Generation Method with Application to Natural Convection Problem (자동화된 경계고정좌표 생성법과 자연대류 문제에 대한 적용)

  • Choi, IL Kon;Maeng, Joo Sung
    • Transactions of the Korean Society of Mechanical Engineers B
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    • 제23권6호
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    • pp.703-712
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    • 1999
  • This paper suggests an automatic elliptic grid generation method that is well-suited for the numerical mapping of complex geometries which are easily obtained from general CAD programs. An LBLADI solver is used for the governing mapping equations to have the strong diagonal dominance. The full boundary control method is adopted to determine the control functions of the equations, which allows the control of the grid regarding spacing and angle control at all boundary surfaces. The solution method presented here provides the capability of mapping very complicated geometries by defining grid point locations only along the boundaries. In the automated elliptic grid generation procedure, it is showed that strong diagonal dominance is essential to achieve successful mapping irrespective of the initial grid condition provided. To demonstrate the robustness of this method, it is applied to the thermal flow like the natural convection between eccentric cylinders. The results agree well with others.

Numerical Calculation of the Far Field Acoustic Pressure from the Unsteady Motion of the Three-dimensional Vortex Filament (삼차원 와선의 비정상 거동에 의한 원거리 음압의 수치해석)

  • Ryu, Ki-Wahn;Lee, Duck-Joo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • 제21권6호
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    • pp.942-950
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    • 1997
  • Far field acoustic pressure from the evolution and interaction of three-dimensional vortex filament is calculated numerically. A vortex ring is a typical example of the three-dimensional vortex filament. An elliptic vortex ring emits a strong sound signal due to significant distortion and stretching of the vortec filament. The far field acoustic pressure is linearly dependent on the third time derivatives of the vortex positions. A numerical scheme of high resolution is employed to describe in detail the elliptic vortex ring motions which ar highly nonlinear. Descretized vortex filaments are interpolated by using a parametric blending function to remove a possible numerical instability. The distorted vortex filament, owing to the self-induced and the induced velocity from the other vortex segments, is redistributed at each time step. The accuracy and efficiency of the scheme are validated by comparisons with the analytic solution of circular vortex ring interaction.