• Title/Summary/Keyword: Non-uniqueness

Search Result 148, Processing Time 0.024 seconds

Quasi-distributed Interference Coordination for HSPA HetNet

  • Zhang, Chi;Chang, Yongyu;Qin, Shuqi;Yang, Dacheng
    • ETRI Journal
    • /
    • v.36 no.1
    • /
    • pp.31-41
    • /
    • 2014
  • The heterogeneous network (HetNet) has been discussed in detail in the Long-Term Evolution (LTE) and LTE Advanced standards. However, the standardization of High-Speed Packet Access HetNet (HSPA HetNet) launched by 3GPP is pushing at full steam. Interference coordination (IC), which is responsible for dealing with the interference in the system, remains a subject worthy of investigation in regard to HSPA HetNet. In this paper, considering the network framework of HSPA HetNet, we propose a quasi-distributed IC (QDIC) scheme to lower the interference level in the co-channel HSPA HetNet. Our QDIC scheme is constructed as slightly different energy-efficient non-cooperative games in the downlink (DL) and uplink (UL) scenarios, respectively. The existence and uniqueness of the equilibrium for these games are first revealed. Then, we derive the closed-form best responses of these games. A feasible implementation is finally developed to achieve our QDIC scheme in the practical DL and UL. Simulation results show the notable benefits of our scheme, which can indeed control the interference level and enhance the system performance.

CONSTRUCTION OF A SYMMETRIC SUBDIVISION SCHEME REPRODUCING POLYNOMIALS

  • Ko, Kwan Pyo
    • Communications of the Korean Mathematical Society
    • /
    • v.31 no.2
    • /
    • pp.395-414
    • /
    • 2016
  • In this work, we study on subdivision schemes reproducing polynomials and build a symmetric subdivision scheme reproducing polynomials of a certain predetermined degree, which is a slight variant of the family of Deslauries-Dubic interpolatory ones. Related to polynomial reproduction, a necessary and sufficient condition for a subdivision scheme to reproduce polynomials of degree L was recently established under the assumption of non-singularity of subdivision schemes. In case of stepwise polynomial reproduction, we give a characterization for a subdivision scheme to reproduce stepwise all polynomials of degree ${\leq}L$ without the assumption of non-singularity. This characterization shows that we can investigate the polynomial reproduction property only by checking the odd and even masks of the subdivision scheme. The minimal-support condition being relaxed, we present explicitly a general formula for the mask of (2n + 4)-point symmetric subdivision scheme with two parameters that reproduces all polynomials of degree ${\leq}2n+1$. The uniqueness of such a symmetric subdivision scheme is proved, provided the two parameters are given arbitrarily. By varying the values of the parameters, this scheme is shown to become various other well known subdivision schemes, ranging from interpolatory to approximating.

Plane-strain bending based on ideal flow theory (이상 유동 이론에서의 평면 변형 벤딩)

  • Alexandrov Sergei;Lee W.;Chung K.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 2004.05a
    • /
    • pp.233-236
    • /
    • 2004
  • The major objective of this paper is to clarify the effect of constitutive laws on bulk forming design based on the ideal flow theory. The latter theory is in general applicable for perfectly/plastic materials. However, its kinematics equations constitute a closed-form system, which are valid for any incompressible materials, therefore enabling us to extend design solutions based on the perfectly/plastic constitutive law to more realistic laws with rate sensitive hardening behavior. In the present paper, several constitutive laws commonly accepted for the modeling of cold and hot metal forming processes are considered and the effect of these laws on one particular plane-strain design is demonstrated. The closed form solution obtained describes a non-trivial nonsteady ideal process. The design solutions based on the ideal flow theory are not unique. To achieve the uniqueness, the criterion that the plastic work required to deform the initial shape of a given class of shapes into a prescribed final shape attains its minimum is adopted. Comparison with a non-ideal process is also made.

  • PDF

A Study on the Reality and Natural Symbols in the Wright's Houses (라이트 주택의 자연상징과 리얼리티에 관한 연구)

  • Jo Seung-Koo
    • Journal of the Korean housing association
    • /
    • v.17 no.2
    • /
    • pp.1-10
    • /
    • 2006
  • In the resultant period of architectural transition and a tendency towards unthinking formalism, it is all the more important for designers to question the meaning of their actions and their role in society. Modern architects were convinced that their visions were reality, their ideas truth. Yet this assumption is was the fundamental issue, for what reality and how is it perceived? Harries argues a rediscovery of a language of natural symbols, which might help create buildings that are experienced as necessary rather than arbitrary. These symbols are said to express the essential patterns of human existence in the world. In the Frank Lloyd Wright's works, the uniqueness of his architecture lies in its expression and interpretation of nature and people's existence in the world. This study is intended to be an investigation of the nature of physical expression and perception of the reality known, and to seek to present Wright's philosophy of house design in relation to nature and non-arbitrary architecture. Finally this paper concludes that the architectural expression of expressions of Wright's houses are timeless and full of lift, and these built qualities are necessary and could not readily be otherwise.

A Z-map Update Method for Linearly Moving tools (직선 운동하는 공구에 대한 Z-맵의 갱신 방법)

  • 맹승렬;백낙훈;신성용;최병규
    • Korean Journal of Computational Design and Engineering
    • /
    • v.7 no.4
    • /
    • pp.219-232
    • /
    • 2002
  • In numerically controlled(NC) machining simulation, a Z-map has been used frequently for representing a workpiece. Since the Z-map is usually represented by a set of Z-axis aligned vectors, the machining process can be simulated through calculating the intersection points between the vectors and the surface swept by a machining tool. In this paper, we present an efficient method to calculate those intersection points when an APT-type tool moves along a linear tool path. Each of the intersection points can be expressed as the solution of a system of non-linear equations. We transform this system of equations into a single-variable equation, and calculate the candidate interval in which the unique solution exists. We prove the existence of a solution and its uniqueness in this candidate interval. Based on these characteristics, we can effectively apply numerical methods to finally calculate the solution of the non-linear equations within a given precision. The whole process of NC simulation can be achieved by updating the Z-map properly. Our method can provide more accurate results with a little more processing time, in comparison with the previous closed-form solution.

A Study on the Realization Methods of Space Design and the Concept of Shiro Kuramata's Design thinking 'Unphenomenon' (쿠라마타 시로의 디자인사고 '미현상(未現象)'의 개념과 공간 디자인 구현방법에 관한 연구)

  • Park, Chan-Il;Jung, Min-Hee
    • Korean Institute of Interior Design Journal
    • /
    • v.19 no.1
    • /
    • pp.27-36
    • /
    • 2010
  • The purpose of this study is to define concept and characteristics of "Unphenomenon", the design concept conceived by Shiro Kuramata who is a world renowned Japanese interior designer and to explore how his ideas were materialized in his works. This study 1) examines his experience during his childhood reflected in his essay The scenery of the Unphenomenon' and training in Kuwazawa Design Institute that made Shiro Kuramata a true interior designer, and also considers how his design philosophy had been built up and realized under the unique social situation at the time. 2) defines the concept and characteristics of "Unphenomenon" as substance of his design philosophy by surveying remarks in his books and comments made by people around him in press interviews. 3) concludes his own design method and uniqueness by analyzing his works based on them. As a result, the study has founded that 1) transparency as recognitive realization of existence and non-existence: non-existence of physical property, connotation, ambiguity 2) expression of uncommonness by correcting and reinterpreting common prejudices: flotation, distortion of scale and shape 3) realization of insubstantiality by removing and replacing material and shape: replacement into light, removal of the structure, multiple layers of meaning.

Condition assessment of bridge pier using constrained minimum variance unbiased estimator

  • Tamuly, Pranjal;Chakraborty, Arunasis;Das, Sandip
    • Structural Monitoring and Maintenance
    • /
    • v.7 no.4
    • /
    • pp.319-344
    • /
    • 2020
  • Inverse analysis of non-linear reinforced concrete bridge pier using recursive Gaussian filtering for in-situ condition assessment is the main theme of this work. For this purpose, minimum variance unbiased estimation using unscented sigma points is adopted here. The uniqueness of this inverse analysis lies in its approach for strain based updating of engineering demand parameters, where appropriate bound and constrained conditions are introduced to ensure numerical stability and convergence. In this analysis, seismic input is also identified, which is an added advantage for the structures having no dedicated sensors for earthquake measurement. First, the proposed strategy is tested with a simulated example whose hysteretic properties are obtained from the slow-cyclic test of a frame to investigate its efficiency and accuracy. Finally, the experimental test data of a full-scale bridge pier is used to study its in-situ condition in terms of Park & Ang damage index. Overall the study shows the ability of the augmented minimum variance unbiased estimation based recursive time-marching algorithm for non-linear system identification with the aim to estimate the engineering damage parameters that are the fundamental information necessary for any future decision making for retrofitting/rehabilitation.

Analysis on a Minimum Infinity-norm Solution for Kinematically Redundant Manipulators

  • Insoo Ha;Lee, Jihong
    • Transactions on Control, Automation and Systems Engineering
    • /
    • v.4 no.2
    • /
    • pp.130-139
    • /
    • 2002
  • In this paper, at first, we investigate existing algorithms for finding the minimum infinity-norm solution of consistent linear equations and then propose a new algorithm. The proposed algorithm is intended to includes the advantages of computational efficiency as well as geometric explicitness. As a practical application example, optimum trajectory planning for redundant robot manipulators is considered. Also, an efficient approach avoiding discontinuity in trajectory is proposed by resolving the non-uniqueness problem of minimum infinity-norm solution. To be specific, the proposed method for checking possible discontinuity does not need any other algorithms in checking the possibility of discontinuity while previous work needs specially designed checking courses. To show the usefulness of the proposed techniques, an example calculating minimum infinity-norm solution for comparing the computational efficiency as well as the trajectory planning for a redundant robot manipulator are included.

Sliced Profile-based Automatic Extraction of Machined Features from CSG Models (단면 재구성을 통한 CSG 모델의 기계가공부품 형상추출)

  • Lee, Young-Rai
    • Journal of Korean Institute of Industrial Engineers
    • /
    • v.20 no.1
    • /
    • pp.99-112
    • /
    • 1994
  • This paper describe the development of a systematic method of slicing solid parts based on a data structure called Sliced Profile Data Structure(SPDS). SPDS is an augmented polygon data structure that allows multiple layers of sliced profiles to be connected together. The method consists of five steps: (1) Selection of slicing directions, (2) Determination of slicing levels, (3) Creation of sliced profiles, (4) Connection of sliced profiles, and (5) Refinement. The presented method is aimed at enhancing the applicability of CSG for manufacturing by overcoming the problem of non-uniqueness and global nature. The SPDS-based method of feature extraction is suitable for recognizing broad scope of features with detailed information. The method is also suitable for identifying the global relationships among features and is capable of incorporating the context dependency of feature extraction.

  • PDF

UNIQUENESS THEOREMS OF MEROMORPHIC FUNCTIONS OF A CERTAIN FORM

  • Xu, Junfeng;Han, Qi;Zhang, Jilong
    • Bulletin of the Korean Mathematical Society
    • /
    • v.46 no.6
    • /
    • pp.1079-1089
    • /
    • 2009
  • In this paper, we shall show that for any entire function f, the function of the form $f^m(f^n$ - 1)f' has no non-zero finite Picard value for all positive integers m, n ${\in}\;{\mathbb{N}}$ possibly except for the special case m = n = 1. Furthermore, we shall also show that for any two nonconstant meromorphic functions f and g, if $f^m(f^n$-1)f' and $g^m(g^n$-1)g' share the value 1 weakly, then f $\equiv$ g provided that m and n satisfy some conditions. In particular, if f and g are entire, then the restrictions on m and n could be greatly reduced.