• Title/Summary/Keyword: elliptic function

Search Result 144, Processing Time 0.022 seconds

Eigenvalue Analysis of a Membrane Using the Multiscale Adaptive Wavelet-Galerkin Method (멀티스케일 적응 웨이블렛-갤러킨 기법을 이용한 박막 고유치 문제 해석)

  • Yi, Yong-Sub;Kim, Yoon-Young
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.28 no.3
    • /
    • pp.251-258
    • /
    • 2004
  • Since the multiscale wavelet-based numerical methods allow effective adaptive analysis, they have become new analysis tools. However, the main applications of these methods have been mainly on elliptic problems, they are rarely used for eigenvalue analysis. The objective of this paper is to develop a new multiscale wavelet-based adaptive Galerkin method for eigenvalue analysis. To this end, we employ the hat interpolation wavelets as the basis functions of the finite-dimensional trial function space and formulate a multiresolution analysis approach using the multiscale wavelet-Galerkin method. It is then shown that this multiresolution formulation makes iterative eigensolvers very efficient. The intrinsic difference-checking nature of wavelets is shown to play a critical role in the adaptive analysis. The effectiveness of the present approach will be examined in terms of the total numbers of required nodes and CPU times.

Design Optimization of Pin-Fin Sharp to Enhance Heat Transfer

  • Li, Ping;Kim, Kwang-Yong
    • 유체기계공업학회:학술대회논문집
    • /
    • 2005.12a
    • /
    • pp.185-190
    • /
    • 2005
  • This work presents a numerical procedure to optimize the elliptic-shaped pin fin arrays to enhance turbulent heat transfer. The response surface method is used as an optimization technique with Reynolds-averaged Navier Stokes analysis of flow and heat transfer. Shear stress transport (SST) turbulence model is used as a turbulence closure. Computational results for average heat transfer rate show a reasonable agreement with the experimental data. Four variables including major axis length, minor axis length, pitch and the pin fin length nondimensionalized by duct height are chosen as design variables. The objective function is defined as a linear combination of heat transfer and friction-loss related terms with weighting factor. D-optimal design is used to reduce the data points, and, with only 28 points, reliable response surface is obtained. Optimum shapes of the pin-fin arrays have been obtained in the range from 0.0 to 0.1 of weighting factor.

  • PDF

Pseudonym-based Privacy Protection Scheme for Participatory Sensing with Incentives

  • Zhang, Junsong;He, Lei;Zhang, Qikun;Gan, Yong
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.10 no.11
    • /
    • pp.5654-5673
    • /
    • 2016
  • Participatory sensing applications rely on recruiting appropriate participants to share their surrounding conditions with others, and have been widely used in many areas like environmental monitoring, health care, and traffic congestion monitoring, etc. In such applications, how to ensure the privacy of a participant is important, since incentive mechanisms are used to maintain their enthusiasm for sustainable participation by offering certain amount of reward. In this paper, we propose a pseudonym-based privacy protection scheme, that takes both privacy protection and user incentives into consideration. The proposed scheme uses the pseudonym mechanism and one-way hash function to achieve user incentives, while protecting their identity. We also show extensive analysis of the proposed scheme to demonstrate that it can meet the security and performance the requirement of a participatory sensing application.

The Design of Microstrip Bandpass Filter for Wireless LAN using FDTD Parallel Algorithm (FDTD 병렬화 알고리즘을 이용한 무선랜용 마이크로스트립 대역통과 펄터 설계)

  • 최성열;박경수;고영호
    • The Transactions of the Korean Institute of Electrical Engineers C
    • /
    • v.53 no.7
    • /
    • pp.395-400
    • /
    • 2004
  • In this paper, the four-pole elliptic function microstrip filter at 2.4GHz band with fractional bandwidth of 4% is realized using compact miniaturized hairpin resonators. The parallel algorithm FDTD method is used to analyze S-parameter of hairpin resonator filter more accurately, and to calculate the electric coupling and magnetic coupling among the hairpin resonators. Absorbing boundary conditions for mesh termination used Sulivan's simplified PML and the FDTD code was paralleled by MPI for IBM SP2 which had enhanced calculation speed. The experimental measurements are performed by HP8720D vector network analyzer. Measured results on fabricated hairpin type cross coupled bandpass filters show good agreements with theoretic results.

SCHEDULING TECHNIQUE FOR CONTROL STEP (스케듈링 기법 연구)

  • JeongYoungSong;NamWooBack
    • Journal of the Korean Geophysical Society
    • /
    • v.4 no.3
    • /
    • pp.163-173
    • /
    • 2001
  • This paper deals with scheduling problems which are the most important subtask in High-Level Synthesis. Especially, we have concentrated our attentions on the data-path scheduling which can get the structural informaion trom the behavioral algorithm as a first step in synthesis procedure. Suggest Forward scheduling methode is executed the ASAP and ALAP scheduling to use the fifth - order elliptic wave filter of a standard benchmark moedl, and then it is drawing up T.N matrix table by the number resource and control-step, using the table extract of the simple than down-limit value of the control-step for the number of given resource th use this table. All of existing list scheduling techniques determine the priority function first, and then do the operation scheduling, But, the suggested forward scheduling technique does the schedule first, and determines the priority functions if needed in scheduling process.

  • PDF

EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR A SCHRÖDINGER-TYPE SINGULAR FALLING ZERO PROBLEM

  • Eunkyung Ko
    • East Asian mathematical journal
    • /
    • v.39 no.3
    • /
    • pp.355-367
    • /
    • 2023
  • Extending [14], we establish the existence of multiple positive solutions for a Schrödinger-type singular elliptic equation: $$\{{-{\Delta}u+V(x)u={\lambda}{\frac{f(u)}{u^{\beta}}},\;x{\in}{\Omega}, \atop u=0,\;x{\in}{\partial}{\Omega},$$ where 0 ∈ Ω is a bounded domain in ℝN, N ≥ 1, with a smooth boundary ∂Ω, β ∈ [0, 1), f ∈ C[0, ∞), V : Ω → ℝ is a bounded function and λ is a positive parameter. In particular, when f(s) > 0 on [0, σ) and f(s) < 0 for s > σ, we establish the existence of at least three positive solutions for a certain range of λ by using the method of sub and supersolutions.

A Study on the Synthesis of 6-Pole Dual-Mode Singly Terminated Elliptic Function Filter (6차 단일종단 이중모드 타원응답 필터 합성에 관한 연구)

  • 염인복;이주섭;엄만석;이성팔
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.14 no.5
    • /
    • pp.506-512
    • /
    • 2003
  • An output multiplexer of manifold type is widely used in a recent satellite transponder f3r its mass and volume reduction. For correct operation, the filter of such a multiplexer must be singly terminated. In this paper, a simple synthesis method of a 6-pole dual-mode singly terminated filter is described. From the transfer function of the filter, network parameters such as in/output terminations and coupling matrix are obtained with the aid of orthogonal projection and plane rotation. The rotation order, pivot, and rotation angle of the plane rotation process are given for easy filter synthesis. Two different-structure filters are taken into consideration and the network parameters of each filter have been obtained from the same transfer function. The method described in this paper can be applied to the other degree singly terminated filter.

Faster MapToPoint over $F_{3^m}$ for Pairing-based Cryptosystems (페어링 암호 시스템을 위한 $F_{3^m}$에서의 효율적인 MapToPoint 방법)

  • Park, Young-Ho;Cho, Young-In;Chang, Nam-Su
    • Journal of the Korea Institute of Information Security & Cryptology
    • /
    • v.21 no.6
    • /
    • pp.3-12
    • /
    • 2011
  • A hashing function that maps arbitrary messages directly onto curve points (MapToPoint) has non-negligible complexity in pairing-based cryptosystems. Unlike elliptic curve cryptosystems, pairing-based cryptosystems require the hashing function in ternary fields. Barreto et al. observed that it is more advantageous to hash the message to an ordinate instead of an abscissa. So, they significantly improved the hashing function by using a matrix with coefficients of the abscissa. In this paper, we improve the method of Barreto et al. by reducing the matrix. Our method requires only 44% memory of the previous result. Moreover we can hash a message onto a curve point 2~3 times faster than Barreto's Method.

ECC-based IPTV Service Key Establishment Protocol With User Attribute (사용자 속성을 이용한 ECC 기반의 IPTV 서비스 키 설립 프로토콜)

  • Jeong, Yoon-Su;Shin, Seung-Soo
    • Journal of Digital Convergence
    • /
    • v.10 no.3
    • /
    • pp.105-111
    • /
    • 2012
  • Internet Protocol Television (IPTV) through broadband cable network is a subscriber-based system which consists of software and set-top box. However, a weakness for the current IPTV system is the lack of security between users and CAS. This paper proposes a user authentication protocol at STB, which limits the service by the user-valued attribute to prevent illegal IPTV users. User attribute values change the order with bit form according to the certain rule, and apply to one-way hash function and Diffie-Hellman's elliptic curve key-exchange algorithm. The proposed protocol is able to improve on user authentication and computation. Also, each user generates an authentication message by smart card and receives various services based on the user-valued attribute.

The Design of BPF with Dielectric Resonators (DR을 이용한 대역통과 필터 설계)

  • Kang, Eun Kyun;Jeon, Hyung Jun
    • Journal of the Institute of Electronics and Information Engineers
    • /
    • v.54 no.5
    • /
    • pp.128-132
    • /
    • 2017
  • In this thesis, a BPF(band-pass filter) at the center frequency of 2.14GHz, and bandwidth of 20MHz is designed and implemented using high Q dielectric resonators with ${\varepsilon}_r=38$. The DR(dielectric resonator) is resonated by $TE_{01{\delta}}$-mode and it has a hole in the center of DR. The BPF consists of 6-poles dielectric resonators and the characteristic of elliptic function is obtained by non-adjacent coupling. It has the average insertion loss of 0.97dB and the return loss over 25dB in its passband. In this thesis, the frequency selectivity is more improved by the coupling characteristics between non-adjacent resonators than that of dielectric resonator filters with a Chebyshev response.