• Title/Summary/Keyword: outer bounds

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Bi-Directional Half-Duplex Relaying Protocols

  • Kim, Sang-Joon;Devroye, Natasha;Tarokh, Vahid
    • Journal of Communications and Networks
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    • v.11 no.5
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    • pp.433-444
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    • 2009
  • The bi-directional relay channel is the natural extension of a three-terminal relay channel where node a transmits to node b with the help of a relay r to allow for two-way communication between nodes a and b. That is, in a bi-directional relay channel, a and b wish to exchange independent messages over a shared channel with the help of a relay r. The rates at which this communication may reliably take place depend on the assumptions made on the relay processing abilities. We overview information theoretic limits of the bi-directional relay channel under a variety of conditions, before focusing on half-duplex nodes in which communication takes place in a number of temporal phases (resulting in protocols), and nodes may forward messages in four manners. The relay-forwarding considered are: Amplify and forward (AF), decode and forward (DF), compress and forward (CF), and mixed forward. The last scheme is a combination of CF in one direction and DF in the other. We derive inner and outer bounds to the capacity region of the bi-directional relay channel for three temporal protocols under these four relaying schemes. The first protocol is a two phase protocol where a and b simultaneously transmit during the first phase and the relay r alone transmits during the second. The second protocol considers sequential transmissions from a and b followed by a transmission from the relay while the third protocol is a hybrid of the first two protocols and has four phases. We provide a comprehensive treatment of protocols in Gaussian noise, obtaining their respective achievable rate regions, outer bounds, and their relative performance under different SNR and relay geometries.

Capacity-Equivocation Region of a Special Case of Wiretap Channel with Noiseless Feedback

  • Dai, Bin;Han Vinck, A.J.;Luo, Yuan;Ma, Zheng
    • Journal of Communications and Networks
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    • v.17 no.1
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    • pp.21-26
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    • 2015
  • The general wiretap channel with noiseless feedback is first investigated by Ahlswede and Cai, where lower and upper bounds on the secrecy capacity are provided in their work. The upper bound is met with equality only in some special cases. In this paper, we study a special case of the general wiretap channel with noiseless feedback (called non-degraded wiretap channel with noiseless feedback). Inner and outer bounds on the capacity-equivocation region of this special model are provided. The outer bound is achievable if the main channel is more capable than the wiretap channel. The inner bound is constructed especially for the case that the wiretap channel is more capable than the main channel. The results of this paper are further explained via binary and Gaussian examples. Compared with the capacity results for the non-degraded wiretap channel, we find that the security is enhanced by using the noiseless feedback.

An adaptive hybrid ARQ scheme with RCPSCCC(Rate Compatible Punctured Serial Concatenated Convolutional Codes) for wireless ATM system (무선 ATM 시스템에서 RCPSCCC(Rate Compatible Punctured Serial Concatenated Convolutional Codes)를 이용한 적응 하이브리드 ARQ 기법)

  • 이범용;윤원식
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.3A
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    • pp.406-411
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    • 2000
  • In wireless ATM system, powerful FEC code is required for highly reliable data transmission. In this paper, we propose an adaptive hybrid ARQ scheme using RCPSCCC for WATM system. The code rate of RCPSCC is adjusted to match channel conditions and data types. By using only the effective free distances of outer and inner encoders, we derive upper bounds of the bit and word error probabilities over Rayleigh and Rician fading channels. By applying RCPSCC to the adaptive hybrid ARQ protocol, highly reliable data transmission can be achieved.

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An adaptive hybrid ARQ scheme with RCPSCCC (Rate Compatible Punctured Serial Concatenated Convolutional Codes) for wireless ATM system (무선 ATM 시스템에서 RCPSCCC (Rate Compatible Punctured Serial Concatenated Convolutional Codes)를 이용한 적응 하이브리드 ARQ 기법)

  • 이범용;윤원식
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.12A
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    • pp.1862-1867
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    • 1999
  • In wireless ATM system, powerful FEC code is required for highly reliable data transmission. In this paper, we propose an adaptive hybrid ARQ scheme using RCPSCCC for WATM system. The code rate of RCPSCCC is adjusted to match channel conditions and data types. By using only the effective free distances of outer and inner encoders, we derive upper bounds of the bit and word error probabilities over Rayleigh and Rician fading channels. By applying RCPSCCC to the adaptive hybrid ARQ protocol, highly reliable data transmission can be achieved.

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Ellipsoidal bounds for static response of framed structures against interactive uncertainties

  • Kanno, Yoshihiro;Takewaki, Izuru
    • Interaction and multiscale mechanics
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    • v.1 no.1
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    • pp.103-121
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    • 2008
  • This paper presents an optimization-based method for computing a minimal bounding ellipsoid that contains the set of static responses of an uncertain braced frame. Based on a non-stochastic modeling of uncertainty, we assume that the parameters both of brace stiffnesses and external forces are uncertain but bounded. A brace member represents the sum of the stiffness of the actual brace and the contributions of some non-structural elements, and hence we assume that the axial stiffness of each brace is uncertain. By using the $\mathcal{S}$-lemma, we formulate a semidefinite programming (SDP) problem which provides an outer approximation of the minimal bounding ellipsoid. The minimum bounding ellipsoids are computed for a braced frame under several uncertain circumstances.

Numerical Study of Natural Convection in a Square Enclosure with an Inner Circular Cylinder for Rayleigh Number of 107 (107의 Rayleigh 수에서 원형 실린더가 존재하는 사각형 실린더 내부의 자연대류에 관한 수치적 연구)

  • Yu, Dong-Hun;Yoon, Hyun-Sik;Ha, Man-Yeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.8
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    • pp.739-747
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    • 2010
  • Numerical calculations are carried out for evaluating the natural convection induced by the temperature difference between a hot inner circular cylinder and a cold outer square enclosure. A two-dimensional solution for unsteady natural convection is obtained by using the finite volume method to model an inner circular cylinder that was designed by using the immersed boundary method (IBM) for a Rayleigh number of $10^7$. In this study, we investigate the effect of the location ($\delta$) of the inner cylinder, which is located along the vertical central axis of the outer enclosure, on the heat transfer and fluid flow. The natural convection changes from unsteady to steady state depending on the $\delta$. The two critical lower bound and upper bound positions are ${\delta}_{C,L}$ = 0.05 and ${\delta}_{C,U}$ = 0.18, respectively. Within these defined bounds, the thermal and flow fields are in steady state.

A numerical study of natural convection in a square enclosure with a circular cylinder for high Rayleigh number (높은 Rayleigh 수에서 원형 실린더가 존재하는 사각형 실린더 내부의 자연대류에 관한 수치적 연구)

  • Yu, Dong-Hun;Yoon, Hyun-Sik;Ha, Man-Yeong;Kim, Byeong-Su
    • Proceedings of the KSME Conference
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    • 2008.11b
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    • pp.2744-2749
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    • 2008
  • Numerical calculations are carried out for the natural convection induced by temperature difference between a cold outer square cylinder and a hot inner circular cylinder for Rayleigh number of $Ra=10^7$. This study investigates the effect of the inner cylinder location on the heat transfer and fluid flow. The location of inner circular cylinder ($\delta$) is changed vertically along the center-line of square enclosure. The natural convection bifurcates from unsteady to steady state according to $\delta$. Two critical positions of ${\delta}_{C,L}$ and ${\delta}_{C,U}$ as a lower bound and an upper bound are ${\delta}_{C,L}=0.05$ and ${\delta}_{C,U}=0.18$, respectively. Within the defined bounds, the thermal and flow fields are steady state. When the inner cylinder locates at ${\delta}{\geq}{\delta}_{C,U}$, the space between the upper surface of inner cylinder and the top surface of the enclosure forms a relatively shallow layer where the natural convection characterized as the pure Rayleigh-Benard convection forms alternately the upwelling and downwelling plums, as a result that a series of cells known as Benard cells is derived.

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A Study on Adolf Loos's thought about Modernity and his Works of Houses (근대성과 관련한 Adolf Loos의 사상과 주거건축에 관한 연구)

  • Kim, Kyung-Ho
    • Korean Institute of Interior Design Journal
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    • v.15 no.5 s.58
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    • pp.36-43
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    • 2006
  • Architecture is the product of a way of thinking. If the problems of architecture are to be traced to their roots, then attention needs to be focused on the thinking and considerations that inform its production. Adolf Loos occupies a truly exceptional place in the history of architecture. Adolf Loos's ideas and attitudes disagree with the notion that modernity is possible to develop a harmonious culture within the bounds of a modernizing society. Loos chronologically precedes the modern movement, but his ideas contain the seeds of what will be worked out later as a complex critique of the movement's notions about architecture and modernity. Loos holds the view that modernity provokes an inevitable rupture with tradition that has as a consequence the disintegration of one's experience of life. This evolution, he think, obliges architecture to display a number of languages corresponding to a multitude of different experiences. Through the discussion of Loos's opinions on dwelling and architecture, it explores the true features of position of Loos in modern architecture. Loos thinks that the rejection of the deliberate creation of a new style was a correct response to the diagnosis of life as being rootless and fragmented. Ornament is that which people use to attempt to relate different aspects of life and to join inner and outer worlds in a coherent whole. By getting rid of ornament the illusion is destroyed that a harmonious unity of this sort is still possible. One can only remain true to tradition if one acknowledges that its continuity is not an unbroken one. Dwelling can only be saved by separating it from other aspects of life.