• Title/Summary/Keyword: uniform limit

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DOA-based Beamforming for Multi-Cell Massive MIMO Systems

  • Hu, Anzhong
    • Journal of Communications and Networks
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    • v.18 no.5
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    • pp.735-743
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    • 2016
  • This paper proposes a direction-of-arrival (DOA)-based beamforming approach for multi-cell massive multiple-input multiple-output systems with uniform rectangular arrays (URAs). The proposed approach utilizes the steering vectors of the URA to form a basis of the spatial space and selects the partial space for beamforming according to the DOA information. As a result, the proposed approach is of lower computational complexity than the existing methods which utilize the channel covariance matrices. Moreover, the analysis demonstrates that the proposed approach can eliminate the interference in the limit of infinite number of the URA antennas. Since the proposed approach utilizes the multipaths to enhance the signal rather than discarding them, the proposed approach is of better performance than the existing low-complexity method, which is verified by the simulation results.

Numerical Analysis on the Development of an Undularbore (Undular Bore의 발생과정에 관한 수치 해석)

  • Bea, Heon-Meen;Kim, In-Chull
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.22 no.2
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    • pp.31-35
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    • 1986
  • A bore is a transition between different uniform flows of water. If a long wave of elevation travels in shallow water it steepens and forms a bore. The bore is undular if the change in surface elevation of the wave is less than 0.28 of the original depth of water. This paper describes the growth of an undular bore from a long wave which forms a gentle transition between a uniform flow and still water. A physical account of its development is followed by the results of numerical calculations. Finite-difference approximations are used in the partial differential equations of motion. For undular bores, numerical calculations show that (i) the relationship between relative elevation and relative velocity given by long wave theory is approached for an undular bore, (ii) the amplitude of first crest of an undular bore approaches a finite limit approximately at an exponential rate, and (iii) the distance between the first two crests increases without bound, approximately logarithmically.

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HARDY-LITTLEWOOD PROPERTY AND α-QUASIHYPERBOLIC METRIC

  • Kim, Ki Won;Ryu, Jeong Seog
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.243-250
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    • 2020
  • Hardy and Littlewood found a relation between the smoothness of the radial limit of an analytic function on the unit disk D ⊂ ℂ and the growth of its derivative. It is reasonable to expect an analytic function to be smooth on the boundary if its derivative grows slowly, and conversely. Gehring and Martio showed this principle for uniform domains in ℝ2. Astala and Gehring proved quasiconformal analogue of this principle for uniform domains in ℝn. We consider α-quasihyperbolic metric, kαD and we extend it to proper domains in ℝn.

THE LIMITING LOG GAUSSIANITY FOR AN EVOLVING BINOMIAL RANDOM FIELD

  • Kim, Sung-Yeun;Kim, Won-Bae;Bae, Jong-Sig
    • Communications of the Korean Mathematical Society
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    • v.25 no.2
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    • pp.291-301
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    • 2010
  • This paper consists of two main parts. Firstly, we introduce an evolving binomial process from a binomial stock model and consider various types of limiting behavior of the logarithm of the evolving binomial process. Among others we find that the logarithm of the binomial process converges weakly to a Gaussian process. Secondly, we provide new approaches for proving the limit theorems for an integral process motivated by the evolving binomial process. We provide a new proof for the uniform strong LLN for the integral process. We also provide a simple proof of the functional CLT by using a restriction of Bernstein inequality and a restricted chaining argument. We apply the functional CLT to derive the LIL for the IID random variables from that for Gaussian.

Indoor Link Quality Comparison of IEEE 802.11a Channels in a Multi-radio Mesh Network Testbed

  • Bandaranayake, Asitha U;Pandit, Vaibhav;Agrawal, Dharma P.
    • Journal of Information Processing Systems
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    • v.8 no.1
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    • pp.1-20
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    • 2012
  • The most important criterion for achieving the maximum performance in a wireless mesh network (WMN) is to limit the interference within the network. For this purpose, especially in a multi-radio network, the best option is to use non-overlapping channels among different radios within the same interference range. Previous works that have considered non-overlapping channels in IEEE 802.11a as the basis for performance optimization, have considered the link quality across all channels to be uniform. In this paper, we present a measurement-based study of link quality across all channels in an IEEE 802.11a-based indoor WMN test bed. Our results show that the generalized assumption of uniform performance across all channels does not hold good in practice for an indoor environment and signal quality depends on the geometry around the mesh routers.

Component fragility assessment of a long, curved multi-frame bridge: Uniform excitation versus spatially correlated ground motions

  • Jeon, Jong-Su;Shafieezadeh, Abdollah;DesRoches, Reginald
    • Structural Engineering and Mechanics
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    • v.65 no.5
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    • pp.633-644
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    • 2018
  • This paper presents the results of an assessment of the seismic fragility of a long, curved multi-frame bridge under multi-support earthquake excitations. To achieve this aim, the numerical model of columns retrofitted with elliptical steel jackets was developed and validated using existing experimental results. A detailed nonlinear numerical model of the bridge that can capture the inelastic response of various components was then created. Using nonlinear time-history analyses for a set of stochastically generated spatially variable ground motions, component demands were derived and then convolved with new capacity-based limit state models to obtain seismic fragility curves. The comparison of failure probabilities obtained from uniform and multi-support excitation analyses revealed that the consideration of spatial variability significantly reduced the median value of fragility curves for most components except for the abutments. This observation indicates that the assumption of uniform motions may considerably underestimate seismic demands. Moreover, the spatial correlation of ground motions resulted in reduced dispersion of demand models that consequently decreased the dispersion of fragility curves for all components. Therefore, the spatial variability of ground motions needs to be considered for reliable assessment of the seismic performance of long multi-frame bridge structures.

In-plane buckling strength of fixed parabolic arch (고정지점 포물선 아치의 면내 좌굴강도)

  • Moon, Ji Ho;Yoon, Ki Yong;Cho, Yong Rae;Lee, Hak Eun
    • Journal of Korean Society of Steel Construction
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    • v.18 no.3
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    • pp.301-310
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    • 2006
  • If arches are braced by lateral restraints, the ultimate strength of arches is determined by in-plane buckling and plastic bending collapse. This paper is conducted to investigate the in-plane nonlinear elastic and inelastic buckling behavior and the strength of fixed parabolic arches in uniform compresion, as well as to study arch behaviors against non-uniform in-plane compression and bending. As shown by the results, the limit slenderness ratio is suggested to classify the bucklingmode. Buckling strength of fixed parabolic arches under uniform compresion are evaluated using buckling curve for a straight column. Finally, an interaction e quation for arches under combined axial compresion and bending action is proposed.

Buckling analysis of graphene oxide powder-reinforced nanocomposite beams subjected to non-uniform magnetic field

  • Ebrahimi, Farzad;Nouraei, Mostafa;Dabbagh, Ali;Civalek, Omer
    • Structural Engineering and Mechanics
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    • v.71 no.4
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    • pp.351-361
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    • 2019
  • Present article deals with the static stability analysis of compositionally graded nanocomposite beams reinforced with graphene oxide powder (GOP) is undertaken once the beam is subjected to an induced force caused by nonuniform magnetic field. The homogenized material properties of the constituent material are approximated through Halpin-Tsai micromechanical scheme. Three distribution types of GOPs are considered, namely uniform, X and O. Also, a higher-order refined beam model is incorporated with the dynamic form of the virtual work's principle to derive the partial differential motion equations of the problem. The governing equations are solved via Galerkin's method. The introduced mathematical model is numerically validated presenting a comparison between the results of present work with responses obtained from previous articles. New results for the buckling load of GOP reinforced nanocomposites are presented regarding for different values of magnetic field intensity. Besides, other investigations are performed to show the impacts of other variants, such as slenderness ratio, boundary condition, distribution type and so on, on the critical stability limit of beams made from nanocomposites.

A Study on Flow and Combustion Characteristics of Flat Flame Burner (Flat Flame Burner의 유동과 연소 특성에 관한 연구)

  • Jeong, Y.K.;Kim, C.K.;Jeon, C.H.;Chang, Y.J
    • 한국연소학회:학술대회논문집
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    • 2000.12a
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    • pp.59-66
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    • 2000
  • In this study, We studied flow and combustion characteristics of a Flat Flame Burner(FFB) with swirler. As swirl number increase, the streamlines is proceed close to tile and velocity is large. Blow-off limit decrease when swirl number is 1.24, but blow-off limit increase when combustion load is 6500kcal/hr. Temperature distribution is uniform in front of tile and NO formation is small at S=1.24. We expect that the radiation can be transmitted to the object and NOx will reduce because of recirculation zone

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Fuel Stratification Process in a Lean Burn Internal Combustion Engine by Using Planar Laser Induced Fluorescence (PLIF를 이용한 희박연소엔진에서의 연료 성층화에 관한 연구)

  • 정경석
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.3
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    • pp.7-12
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    • 2003
  • Mixture formation in the cylinder of a lean bum engine has been observed by Laser Induced Fluorescence technique. XeCl laser (308nm) was used to produce a laser sheet. 3-pentanone has been added to iso-octane fuel to produce fluorescence, the intensity of which is proportional to the concentration of the fuel. The laser sheet was introduced through the piston window and the fuel distribution in the vertical plane was observed through a side window. Comparison has been made for the cases of selected fuel injection timing as 0, 360, 405, and 450 CA. For the case of 0 and 360 CA injection, uniform fuel distribution in the combustion chamber has been obtained at the ignition time which is favorable for the high load mode. And the late injection cases, 405 and 450 CA, revealed the stratified formation of rich mixture around the spark plug. That extends the lean misfire limit and reduces cyclic variation in the low load mode.