Improved LTE like initial uplink synchronization via reduced problem dimension

2019 ◽  
Vol 144 ◽  
pp. 57-65 ◽  
Author(s):  
Md Mashud Hyder ◽  
Kaushik Mahata
Keyword(s):  
Problem Dimension ◽  
Reduced Problem

Characterizing Decision Support Telemedicine Systems

2006 ◽  
Vol 45 (05) ◽  
pp. 523-527 ◽  
Author(s):  
A. Abu-Hanna ◽  
B. Nannings
Keyword(s):  
Decision Support ◽  
Decision Support Systems ◽  
Clinical Decision Support ◽  
Literature Search ◽  
Support Systems ◽  
Clinical Decision Support Systems ◽  
Clinical Decision ◽  
Problem Dimension ◽  
Process Dimension

Summary Objectives: Decision Support Telemedicine Systems (DSTS) are at the intersection of two disciplines: telemedicine and clinical decision support systems (CDSS). The objective of this paper is to provide a set of characterizing properties for DSTSs. This characterizing property set (CPS) can be used for typing, classifying and clustering DSTSs. Methods: We performed a systematic keyword-based literature search to identify candidate-characterizing properties. We selected a subset of candidates and refined them by assessing their potential in order to obtain the CPS. Results: The CPS consists of 14 properties, which can be used for the uniform description and typing of applications of DSTSs. The properties are grouped in three categories that we refer to as the problem dimension, process dimension, and system dimension. We provide CPS instantiations for three prototypical applications. Conclusions: The CPS includes important properties for typing DSTSs, focusing on aspects of communication for the telemedicine part and on aspects of decisionmaking for the CDSS part. The CPS provides users with tools for uniformly describing DSTSs.

scholarly journals On the Locally Polynomial Complexity of the Projection-Gradient Method for Solving Piecewise Quadratic Optimisation Problems

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 465
Author(s):  
Agnieszka Prusińska ◽  
Krzysztof Szkatuła ◽  
Alexey Tret’yakov
Keyword(s):  
Computational Complexity ◽  
Polynomial Complexity ◽  
Initial Point ◽  
Quadratic Functions ◽  
Problem Dimension ◽  
Piecewise Quadratic Functions ◽  
Large Systems ◽  
Systems Of Linear Inequalities ◽  
Number Of Iterations ◽  
Finite Number Of Iterations

This paper proposes a method for solving optimisation problems involving piecewise quadratic functions. The method provides a solution in a finite number of iterations, and the computational complexity of the proposed method is locally polynomial of the problem dimension, i.e., if the initial point belongs to the sufficiently small neighbourhood of the solution set. Proposed method could be applied for solving large systems of linear inequalities.

scholarly journals Generalized Green's functions for higher order boundary value matrix differential systems

1992 ◽  
Vol 15 (3) ◽  
pp. 523-535 ◽  
Author(s):  
R. J. Villanueva ◽  
L. Jodar
Keyword(s):  
Boundary Value ◽  
Existence Condition ◽  
Higher Order ◽  
Closed Form Expression ◽  
Problem Dimension ◽  
Green’S Matrix ◽  
Matrix Differential ◽  
Matrix Problems ◽  
Differential Matrix ◽  
Well Posed

In this paper, a Green's matrix function for higher order two point boundary value differential matrix problems is constructed. By using the concept of rectangular co-solution of certain algebraic matrix equation associated to the problem, an existence condition as well as an explicit closed form expression for the solution of possibly not well-posed boundary value problems is given avoiding the increase of the problem dimension.

An Adaptive Time Stepping Method for Transient Dynamic Response Analysis

2016 ◽  
Vol 6 (2) ◽  
pp. 152-170
Author(s):  
Jianguo Huang ◽  
Huashan Sheng
Keyword(s):  
Dynamic Response ◽  
Response Analysis ◽  
Dynamic Response Analysis ◽  
Transient Dynamic ◽  
Time Stepping ◽  
Adaptive Time ◽  
Spatial Discretisation ◽  
Transient Dynamic Response ◽  
Adaptive Time Stepping ◽  
Reduced Problem

AbstractAn efficient adaptive time stepping method is proposed for transient dynamic response analysis, which is frequently encountered in civil engineering and elsewhere. The reduced problem following the spatial discretisation can be discretised in the time by a C0-continuous discontinuous Galerkin method, and the adaptive time stepping strategy is based on optimal a posteriori error estimates developed using the energy method. Some numerical experiments demonstrate the effectiveness of our approach.

Frequency Window Method for Strongly Coupled and Multiply Connected Structural Systems: Multiple-Mode Windows

1992 ◽  
Vol 59 (2S) ◽  
pp. S244-S252 ◽  
Author(s):  
K.-W. Min ◽  
T. Igusa ◽  
J. D. Achenbach
Keyword(s):  
Companion Paper ◽  
Structural System ◽  
Strongly Coupled ◽  
Multiply Connected ◽  
Multiple Mode ◽  
Window Method ◽  
Frequency Window ◽  
Rational Expressions ◽  
Insight Into ◽  
Reduced Problem

In a companion paper, a method is presented to analyze the dynamic behavior of a structural system consisting of a main structure and strongly coupled, multiply connected substructures. Lagrange’s equations are used to develop a characteristic equation for connected substructures in terms of substructure impedances and mobilities. A frequency window method is used to reduce the complexity of the problem by a decomposition of the impedance and mobility functions into dominant and higher-order rational expressions. From the reduced problem, simple expressions for the modal properties are developed using matrix algebraic methods, which provide insight into the resonance characteristics of the connected substructures. Onemode windows were discussed in detail and examples were presented. In the present paper the theory is extended to multiple-mode windows.

scholarly journals Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension

1994 ◽  
Vol 17 (1) ◽  
pp. 91-102
Author(s):  
E. Navarro ◽  
L. Jódar ◽  
R. Company
Keyword(s):  
Homogeneous Problem ◽  
Higher Order ◽  
Closed Form Expression ◽  
Power Series Solution ◽  
Matrix Equations ◽  
Form Expression ◽  
Initial Value ◽  
Generalized Power Series ◽  
The Matrix ◽  
Problem Dimension

In this paper, we develop a Frobenius matrix method for solving higher order systems of differential equations of the Fuchs type. Generalized power series solution of the problem are constructed without increasing the problem dimension. Solving appropriate algebraic matrix equations a closed form expression for the matrix coefficient of the series are found. By means of the concept of ak-fundamental set of solutions of the homogeneous problem an explicit solution of initial value problems are given.

Ablation by Frictional Heating

1983 ◽  
Vol 50 (4a) ◽  
pp. 712-716 ◽  
Author(s):  
L. N. Tao
Keyword(s):  
Exact Solution ◽  
Physical Interpretation ◽  
Frictional Heating ◽  
Constant Speed ◽  
Numerical Example ◽  
Similarity Transformations ◽  
Reduced Problem ◽  
As If

The ablation problem of a semi-infinite solid, moving at a constant speed parallel to its surface, is investigated. The study includes all induced motions caused by the density differences of various phases of the materials. Some appropriate transformations are introduced to reduce the problem to one where all phases behave as if they had the same density. The reduced problem is then solved by similarity transformations. It is found that the exact solution exists if and only if an inequality is satisfied. The physical interpretation of the inequality is examined. A numerical example is given to illustrate the result.

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