检索结果-内蒙古大学图书馆

impulse functions over curves and surfaces and their applications to diffraction

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2006年第1期322卷 18-27页

作者： Onural, Levent Bilkent Univ Dept Elect & Elect Engn TR-06800 Bilkent Ankara Turkey

An explicit preferred definition of impulse functions (Dirac delta functions) over lower-dimensional manifolds in RN is given in such a way to assure uniform concentration per geometric unit of the manifold. Some related properties are presented. An application related to diffraction is demonstrated. (c) 2005 Elsevier Inc. All fights reserved.

关键词： generalized functions distributions impulse functions curve impulses surface impulses diffraction

来源：评论

学校读者我要写书评

暂无评论

HILBERT TRANSFORM IN impulse functions OF POWER-TRANSMISSION-LINE ELECTROMAGNETIC TRANSIENT MODEL

引用

IEE PROCEEDINGS-C GENERATION TRANSMISSION AND DISTRIBUTION 1983年第5期130卷 266-268页

作者： HUMPAGE, WD WONG, KP NGUYEN, TT Department of Electrical & Electronic Engineering University of Western Australia Crawley Australia

Procedures for synthesizing rational-fraction forms of the forward impulse response and surge impedance functions of z-plane electromagnetic transient models for high-voltage power transmission lines have recently been developed in which error functions to be minimized are based on modulus functions only. Underlying this basis is the interdependence between the real and imaginary parts of impulse functions in the frequency domain, for, if the Hilbert transform conditions are fulfilled, one part can be recovered from the other. The paper investigates this particular aspect of the basis of z-plane response function synthesis.

关键词： Hilbert transform high-voltage z-plane electromagnetic transient models Power transmission lines and cables frequency domain error functions surge impedance functions modulus functions power transmission lines forward impulse response Other numerical methods integral equations transients impulse functions Integral equations (numerical analysis) Z transforms power-transmission-line electromagnetic transient model

来源：评论

学校读者我要写书评

暂无评论

Detection of Leaks in the Water Distribution Network 2nd

Detection of Leaks in the Water Distribution Network

引用

2nd International Conference on Information Technologies and Their Applications

作者： Aida-Zade, Kamil Ashrafova, Yegana Inst Control Syst Baku Azerbaijan Azerbaijan Univ Architecture & Construct Baku Azerbaijan Baku State Univ Baku Azerbaijan

ISBN: (纸本)9783031734199;9783031734205

Numerical methods are employed to address an inverse problem associated with a water distribution network characterized by a complex loopback structure. The problem is to ascertain the locations and magnitudes of leaks based on measurements of unsteady flow characteristics at certain points in the pipeline. Key aspects of the problem include the involvement of impulse functions within a system of hyperbolic differential equations, the lack of traditional initial conditions, and the specification of nonseparated boundary conditions between states at the endpoints of adjacent pipeline segments. The problem is transformed into a parametric optimal control problem, devoid of initial conditions but featuring nonseparated boundary conditions. The latter problem is tackled using first-order optimization methods. The paper presents the outcomes of numerical experiments. Notably, this research distinguishes itself from others by addressing the inverse problem of determining leak locations and magnitudes within an unsteady flow scenario in a water distribution network with a complex (loopback) structure, as opposed to studies focusing on steady flow or transient flow in simpler pipeline configurations.

关键词： water distribution network locations of water leaks amounts of water leaks an inverse problem impulse functions hyperbolic differential equations nonseparated boundary conditions

来源：评论

学校读者我要写书评

暂无评论

Numerical solution of ordinary differential equations with impulse solution

引用

APPLIED MATHEMATICS AND COMPUTATION 2005年第1期163卷 373-381页

作者： Hosseini, MM Yazd Univ Dept Math Yazd Iran

This paper extends an earlier work [Appl. Math. Comput. 132 (2002) 341] to ordinary differential equations with impulse solution. In this case, the use of spectral methods, generally, dose not work well. Also it is shown that the modified spectral method (mentioned in [Appl. Math. Comput. 132 (2002) 34 1]) can be useful to solve the ODEs with impulse solution. In addition, with providing some examples, the aforementioned cases are dealt with numerically. (C) 2004 Elsevier Inc. All rights reserved.

关键词： spectral methods ordinary differential equations impulse functions

来源：评论

学校读者我要写书评

暂无评论

Projection-slice theorem as a tool for mathematical representation of diffraction

引用

IEEE SIGNAL PROCESSING LETTERS 2007年第1期14卷 43-46页

作者： Onural, Levent Bilkent Univ Dept Elect & Elect Engn TR-06800 Ankara Turkey

Although the impulse (Dirac delta) function has been widely used as a tool in signal processing, its more complicated counterpart, the impulse function over higher dimensional manifolds in R-N, did not get such a widespread utilization. Based on carefully made definitions of such functions, it is shown that many higher dimensional signal processing problems can be better formulated, yielding more insight and flexibility, using these tools. The well-known projection-slice theorem is revisited using these impulse functions. As a demonstration of the utility of the projection-slice formulation using impulse functions over hyperplanes, the scalar optical diffraction is reformulated in a more general context.

关键词： curve impulses diffraction distributions generalized functions impulse functions projection-slice theorem radon transform surface impulses

来源：评论

学校读者我要写书评

暂无评论

A Class of Impulsive Eigenfunctions of Multidimensional Fourier Transform

引用

IEEE SIGNAL PROCESSING LETTERS 2024年 31卷 761-764页

作者： Onural, Levent Bilkent Univ Dept Elect & Elect Engn TR-06800 Ankara Turkiye

The coordinate axes of R-N are arbitrarily partitioned into two sets;each set defines a hyperplane passing through the origin and these two hyperplanes are orthogonal. After a review of impulse functions over such hyperplanes and their Fourier trans-forms, it is shown that an impulse function over the union of these two hyperplanes is an eigenfunction of the N-dimensional Fourier transform. Furthermore, based on the simple rotation property of the Fourier transform, it is also shown that impulse functions over unions of finite number of arbitrarily rotated versions of those two hyperplane sets are also eigenfunctions of the N-dimensional Fourier transform

关键词： Multidimensional Fourier transform impulse functions eigenfunctions

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：