• 제목/요약/키워드: Bent functions

검색결과 25건 처리시간 0.024초

CHARACTERIZATION OF CERTAIN TYPES OF r-PLATEAUED FUNCTIONS

  • Hyun, Jong Yoon;Lee, Jungyun;Lee, Yoonjin
    • 대한수학회지
    • /
    • 제55권6호
    • /
    • pp.1469-1483
    • /
    • 2018
  • We study a subclass of p-ary functions in n variables, denoted by ${\mathcal{A}}_n$, which is a collection of p-ary functions in n variables satisfying a certain condition on the exponents of its monomial terms. Firstly, we completely classify all p-ary (n - 1)-plateaued functions in n variables by proving that every (n - 1)-plateaued function should be contained in ${\mathcal{A}}_n$. Secondly, we prove that if f is a p-ary r-plateaued function contained in ${\mathcal{A}}_n$ with deg f > $1+{\frac{n-r}{4}}(p-1)$, then the highest degree term of f is only a single term. Furthermore, we prove that there is no p-ary r-plateaued function in ${\mathcal{A}}_n$ with maximum degree $(p-1){\frac{n-4}{2}}+1$. As application, we partially classify all (n - 2)-plateaued functions in ${\mathcal{A}}_n$ when p = 3, 5, and 7, and p-ary bent functions in ${\mathcal{A}}_2$ are completely classified for the cases p = 3 and 5.

굽은 비선형 도파로를 이용한 완전 광 신호 처리 소자 (All-optical signal processing in a bent nonlinear waveguide)

  • 김찬기;정준영;장형욱;송준혁;정제명
    • 한국광학회지
    • /
    • 제8권6호
    • /
    • pp.492-499
    • /
    • 1997
  • 굽은 비선형 도파로를 이용한 완전 광 스위치와 굽은 비선형 Y 분기각을 갖는 도파로를 이용한 완전 광 논리 연산소자를 제안하였다. 제안된 완전 광 스위치와 완전 광 논리 연산소자는 굽은 비선형 도파로를 따라가는 비선형파의 전파에 기초를 두고 있다. 빔의 전파특성은 도파로의 비선형성과 입력 파워, 도파로의 굽은 각도 등의 파라미터에 의해 좌우되므로 파라미터를 변화시켜 가면서 파워의 출력 특성을 계산해 보았다. 또한, 비선형 물질로 빠져 나오는 파워를 다양한 위치의 검출기에서 계산함으로써 특정한 검출기의 위치에서 가장 이상적인 디지털 스위칭 특성을 찾았고 도파로 끝과 비선형 물질로 빠져 나오는 파워의 비율에 의해 다양한 논리 함수(AND, OR, XOR)를 구현해 보았다.

  • PDF

APN 함수를 이용한 부호계열 발생 알고리즘 설계 빛 분석 (Design and Analysis of Code Sequence Generating Algorithms using Almost Perfect Nonlinear Functions)

  • 이정재
    • 융합신호처리학회논문지
    • /
    • 제11권1호
    • /
    • pp.47-52
    • /
    • 2010
  • 암호화 시스템에서 대부분의 선형시스템은 쉽게 해석될 수 있기 때문에 비선형성은 매우 중요하다. 비선형 함수인 bent함수와 유사한 특성을 갖고 C.Bracken, Z.Zha 등에 의하여 제안된 APN(Almost Perfect Nonlinear) 함수를 이용하여 두 종류의 새로운 부호계열 발생 알고리즘을 제안하였다. 이를 이용하여 GF(2)상에서 발생된 부호계열의 자기상관함수 $R_{ii}(\tau)$, ${\tau}\;{\neq}\;0$와 상호상관함수 $R_{ik}(\tau)$의 값은 {-1, $-1-2^{n/2}$, $-1+2^{n/2}$}을 가진다. 이 개념을 확장한 GF(p), $p\;{\geq}\;3$상에서 발생된 비 이원부호계열의 자기상관함수 $R_{p,ii}(\tau}$, ${\tau}\;{\neq}\;0$와 상호상관함수 $R_{p,ik}(\tau)$의 값은 {$-1+p^{n-1}$, $-1-p^{(n-1)/2}+p^{n-1}$, $-1+p^{(n-1)/2}+p^{n-1}$} 로 역시 3종류 값을 가짐을 보였다. 이 분석결과로부터 발생된 부호계열의 상관함수가 Gold 부호계열과 유사한 특성을 가짐을 확인하였다.

3G CDMA 시스템을 위한 확장 준직교 함수 (Extended Quasi Orthogonal Functions for 3G CDMA Systems)

  • 이광재;문명룡;;이문호
    • 한국전자파학회논문지
    • /
    • 제16권7호
    • /
    • pp.697-708
    • /
    • 2005
  • 3G CDMA 시스템의 순방향 링크는 사용자 수의 증가에 따른 제한을 받게 된다. 기존의 채널 구분을 위한 부호인 Walsh 부호는 많은 사용자에 대 한 충분한 크기를 갖지 못하므로, Walsh 부호와 최적의 상관 특성을 갖는 준직교 부호(QOF: Quasi Orthogonal Function)가 고려되고 있다. 본 논문에서는 3G CDMA 시스템에서 더 낮은 상관 값과 우수한 성능을 갖는 재킷 행렬 상에서의 준직교 수열 생성에 관해 고찰하였다. 또한 QOF CDMA 시스템의 검파기의 단순화 및 BER 성능 개선을 위한 새로운 검파 구조를 제시하였다. 마지막으로, QOF 마스크 함수를 위한 bent 수열의 간단한 반복 생성에 대해 고찰하였다.

SUC의 확장 및 범용 유사 벤트 함수에 대한 고찰 (A study on suc and generalized semi-bent functions)

  • 박상우;지성택;김광조
    • 정보보호학회지
    • /
    • 제6권3호
    • /
    • pp.49-56
    • /
    • 1996
  • 본 논문에서는 컴퓨터 조사를 통하여, 참고 문헌[15]에서 제안된 범용 유사 벤트 함수 설계 방법이 범용 유사 벤트 함수 모두를 설계하지 못함을 보인다. 다음으로, 본 논문의 주요 결과로서 기존 SUC[7,16]의 정의에 대해, 고려되는 부울 함수의 개수와 PC 차수를 확장시킨, 확장된 SUC 을 새로이 정의하고 확장된 SUC을 만족하는 5차 범용 유사 벤트 함수들의 예를 제시한다.

  • PDF

Smart Honeycomb Sandwich Panels With Damage Detection and Shape Recovery Functions

  • Okabe, Yoji;Minakuchi, Shu;Shiraishi, Nobuo;Murakami, Ken;Takeda, Nobuo
    • Advanced Composite Materials
    • /
    • 제17권1호
    • /
    • pp.41-56
    • /
    • 2008
  • In this research, optical fiber sensors and shape memory alloys (SMA) were incorporated into sandwich panels for development of a smart honeycomb sandwich structure with damage detection and shape recovery functions. First, small-diameter fiber Bragg grating (FBG) sensors were embedded in the adhesive layer between a CFRP face-sheet and an aluminum honeycomb core. From the change in the reflection spectrum of the FBG sensors, the debonding between the face-sheet and the core and the deformation of the face-sheet due to impact loading could be well detected. Then, the authors developed the SMA honeycomb core and bonded CFRP face-sheets to the core. When an impact load was applied to the panel, the cell walls of the core were buckled and the face-sheet was bent. However, after the panel was heated over the reverse transformation finish temperature of the SMA, the core buckling disappeared and the deflection of the face-sheet was relieved. Hence the bending stiffness of the panel could be recovered.

접촉응력해석을 통한 핵연료 지지격자 구조물의 최적설계 (Optimal Design of a Nuclear Fuel Rod Support Structure Based on Contact Stress Analysis)

  • 장인권;곽병만;송기남
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2000년도 춘계학술대회논문집A
    • /
    • pp.731-736
    • /
    • 2000
  • An optimal design method is adopted for a spacer grid in nuclear power plant. It is made of punched sheet metal process, functioning as springs and dimples supporting fuel rods. For stress analysis of the assembled fuel rod support, a typical cell out of the repeated pattern in the assembly is modeled using 4-node shell elements. A commercial code, ABAQUS, is used for detailed analysis of contacting phenomena with friction. For the optimization, design varibles are taken from geometric parameters representing the shape of the bent leaf spring part and mating contact region with fuel rod. Objective function is considered in relation to mechanical functions and durability. Maximum yon Mises stress is considered in relation to constrained contact stress.

  • PDF

AN ALTERNATIVE q-ANALOGUE OF THE RUCINSKI-VOIGT NUMBERS

  • Bent-Usman, Wardah M.;Dibagulun, Amerah M.;Mangontarum, Mahid M.;Montero, Charles B.
    • 대한수학회논문집
    • /
    • 제33권4호
    • /
    • pp.1055-1073
    • /
    • 2018
  • In this paper, we define an alternative q-analogue of the $Ruci{\acute{n}}ski$-Voigt numbers. We obtain fundamental combinatorial properties such as recurrence relations, generating functions and explicit formulas which are shown to be q-deformations of similar properties for the $Ruci{\acute{n}}ski$-Voigt numbers, and are generalizations of the results obtained by other authors. A combinatorial interpretation in the context of A-tableaux is also given where convolution-type identities are consequently obtained. Lastly, we establish the matrix decompositions of the $Ruci{\acute{n}}ski$-Voigt and the q-$Ruci{\acute{n}}ski$-Voigt numbers.

와이어를 이용하여 제작된 옥데트 트러스 샌드위치 판재의 압축 및 굽힘 거동 (Compressive and Bending Behavior of Sandwich Panels with Octet Truss Core Fabricated from Wires)

  • 임지현;나성준;구만회;강기주
    • 대한기계학회논문집A
    • /
    • 제29권3호
    • /
    • pp.470-476
    • /
    • 2005
  • Ultra light metal structures have been studied for several years because of their superior specific stiffness, strength and potential of multi functions. Many studies have been focused on how to manufacture ultra light metal structures and optimize them. In this study, we introduced a new idea to make sandwich panels having octet truss cores. Wires bent in a shape of triangular wave were assembled to construct an Octet truss core and it was bonded with two face sheets to be a sandwich panel. The bending & compressive strength and stiffness were estimated through elementary mechanics for the sandwich specimens with two kinds of face sheets and the results were compared with the ones measured by experiments. Some aspects of assembling and mechanical behavior were discussed compared with Kagome core fabricated from wire, which had been introduced in the authors' previous work.

A Study on the CDMA-based TT&C Design and Experiment Concept

  • Lee, Ho-Jin;Mo, Hee-Sook
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1999년도 제14차 학술회의논문집
    • /
    • pp.37-40
    • /
    • 1999
  • ETRI has successfully completed and delivered to KARI the KOMPSAT Mission Control System. This system was designed to work in the conventional TT&C modulation scheme with the pre-assigned frequencies. As a way to accelerate in catching up with future TT&C technology evolutions, a preliminary study needs to be carried out to prepare for the development of a spread spectrum applicable to TT&C. A brief study was carried out to review some points to be considered in designing and implementing spread spectrum schemes to the ground TT&C system intended for a LEO spacecraft. Also a simulation and link design revisit was performed to see the operational and technical benefits with the KOMPSAT TT&C parameters. An experiment concept is proposed to test as many functions at a time once the prototype is developed. In this configuration, a ground-model TT&C transponder is connected via LAN to the ETRI-developed KOMPSAT S/W simulator and linked to the KOMPSAT TM/TC processing s/w via spread spectrum signals through a GEO satellite bent-pipe link. A satellite data relay link simulation could be carried out in this configuration.

  • PDF