• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2000년도 추계종합학술대회 논문집(3)
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• pp.59-62
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• 2000

In this paper, We propose the new interconnection network which is designed to edge numbering method using inorder traversal a Fibonacci trees and its jump sequence is Fibonacci numbers. It has a simple (shortest path)routing algorithm, diameter, node degree. It has a spaning subtree which is Fibonacci tree and it is embedded Fibonacci tree. It is compared with Hypercube. We improve diameter compared with Hypercube on interconnection network measrtes.

• 대한수학회지
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• 제45권2호
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• pp.479-491
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• 2008

In [4], the authors studied the Pascal matrix and the Stirling matrices of the first kind and the second kind via the Fibonacci matrix. In this paper, we consider generalizations of Pascal matrix, Fibonacci matrix and Pell matrix. And, by using Riordan method, we have factorizations of them. We, also, consider some combinatorial identities.

• 대한수학회보
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• 제56권2호
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• pp.535-547
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• 2019

In this paper, by using the lower bound of linear forms in logarithms of Matveev and the theory of continued fractions by means of a variation of a result of Dujella and $Peth{\ddot{o}}$, we find all generalized Fibonacci numbers which are Pell numbers. This paper continues a previous work that searched for Pell numbers in the Fibonacci sequence.

• 한국수학사학회지
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• 제28권3호
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• pp.151-164
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• 2015

The purpose of this paper is to develop a teaching and learning material integrated two subjects Pythagorean theorem and Fibonacci numbers. Traditionally the former subject belongs to geometry area and the latter is in algebra area. In this work we integrate these two issues and make a discovery method to generate infinitely many Pythagorean numbers by means of Fibonacci numbers. We have used this article as a teaching and learning material for a science high school and found that it is very appropriate for those students in advanced geometry and number theory courses.

• 전력전자학회:학술대회논문집
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• 전력전자학회 2001년도 Proceedings ICPE 01 2001 International Conference on Power Electronics
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• pp.622-625
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• 2001

Photovoltaic generation systems need MPPT (Maximum Power Point Tracking) control because the output power depends on the operating voltage and current. Therefore, many researchers propose various types of MPPT control methods. A new MPPT control scheme is proposed in this paper in order to realize higher efficiency with simple calculation. The line search algorithm with fibonacci sequence which is one of the optimizing method is employed for the MPPT. The line search method is modified for real-time operation. The method is verified by simulations and experiments. It is concluded that the scheme can respond fast variation of irradiance.

• Korean Journal of Mathematics
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• 제32권1호
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• pp.137-162
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• 2024

This paper consists of two significant aims. The first aim of this paper is to establish the criteria for the existence of solutions to nonlinear Volterra-Fredholm (V-F) fractional integral equations on [0, L], where 0 < L < ∞. The fractional integral is described here in the sense of the Katugampola fractional integral of order λ > 0 and with the parameter β > 0. The concepts of the fixed point theorem and the measure of noncompactness are used as the main tools to prove the existence of solutions. The second aim of this paper is to introduce a computational method to obtain approximate numerical solutions to the considered problem. This method is based on the Fibonacci wavelets with collocation technique. Besides, the results of the error analysis and discussions of the accuracy of the solutions are also presented. To the best knowledge of the authors, this is the first computational method for this generalized problem to obtain approximate solutions. Finally, two examples are discussed with the computational tables and convergence graphs to interpret the efficiency and applicability of the presented method.

• 대한전기학회논문지:전기기기및에너지변환시스템부문B
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• 제48권3호
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• pp.118-123
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• 1999

This paper describes the finite element procedure including the magnetic hysteresis phenomena. The magnetization-dependent Preisach model is employed to simulate the magnetic hysteresis and applied to each elements. Magnetization is calculated by the Fibonacci search method for the applied field in the implementation of the magnetization-dependent model. This can calculate the magnetization very accurately with small iteration numbers. The magnetic field intensity and the magnetization corresponding to the magnetic flux density obtained by the finite element analysis(FEA) are computed at the same time under the condition that these balues must satisfy the constitutive equation. In order to reduce the total calculation cost, pseudo-permeability is used for the input for the FEA. It is found that the presented method is very useful in combining the hysteresis model with the finite element method.

• 한국정보전자통신기술학회논문지
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• 제14권2호
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• pp.109-114
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• 2021

네트워크 환경에서 다양한 사용자가 증가하면서 송수신되는 민감한 비밀 정보를 공격자로부터 보호하는 것은 어렵다. 이미지에 비트화된 비밀 자료를 LSB 기법으로 은닉하는 것은 공격에 매우 취약할 수 있다. 이를 해결하기 위해 암호화와 정보은닉이 결합하는 하이브리드 방법이 활용된다. 이용자가 비밀 메시지를 안전하게 보호하고, 비밀 통신을 구현하기 위한 효과적인 방법이 요구되고 있다. 즉, 이미지 품질을 보장하기 위해 보안성과 인식 불가능성을 향상시키기 위한 새로운 접근법이 필요하다. 이 논문에서 MSB와 LSB를 기반하여 커버 이미지에 한글 메시지를 은닉하는 LSB 스테가노 그래피 기법을 제안한다. 이때 한글을 초성, 중성, 종성으로 분리한 후, 비밀 자료는 선택된 MSB에 따라 Exclusive-OR 혹은 Exclusive-NOR 연산을 적용한다. 또한 계산된 비밀 자료는 피보나치 기법에 의해 변환된 커버 이미지의 LSB n개 비트에 은닉한다. 적용된 결과의 효율성을 확인하기 위해 PSNR을 이용하였다. 허용되는 결과로서 적합한 41.517(dB)가 확인되었다.

• 대한수학회논문집
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• 제38권2호
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• pp.341-354
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• 2023

In this article, an alternating Fibonacci sequence is defined from a second-order linear homogeneous recurrence relation with constant coefficients. Then, the determinant, inverse, and eigenvalues of the circulant matrices with entries in the first row having the formation of the sequence are formulated explicitly in a simple way. In this study, the method for deriving the formulation of the determinant and inverse is simply using traditional elementary row or column operations. For the eigenvalues, the known formulation from the case of general circulant matrices is simplified by considering the specialty of the sequence and using cyclic group properties. We also propose algorithms for the formulation to show how efficient the computations are.

• 한국인터넷방송통신학회논문지
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• 제17권4호
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• pp.83-93
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• 2017

일상생활에서 신용카드 가로세로의 비가 1:1.56이고, A4 프린터 용지도 1:1.414 등 비교적 균형 잡힌 황금비로 되어 있다. 본 논문은 인식하기에 가장 균형적이고 이상적으로 보이는 비율인 황금비를 바탕으로 피보나치 Golden 비를 다항식으로 표현했고 오일러와 대칭 자켓 다항식의 응용을 BPSK, QPSK 성상도의 관계됨을 보였다. 증명방법으로 피보나치 Golden과 Galois 필드 요소 다항식을 유도했다. 이어서 수학적으로 직교 속성을 가진 적합한 코드를 생성하는데 사용될 수 있고 단순히 역 계산으로 사용할 수 있는 Golden 자켓코드를 새롭게 유도했고 MIMO 이동통신채널에서 Block Jacket 행렬을 이용 채널상관관계의 변화에 따른 채널용량을 구했다.