Publication detail

Laguerre Polynomials' Scheme of Transient Analysis: Scale factor and The Number of Temporal Basis Functions

LÁČÍK, J.

Original Title

Laguerre Polynomials' Scheme of Transient Analysis: Scale factor and The Number of Temporal Basis Functions

English Title

Laguerre Polynomials' Scheme of Transient Analysis: Scale factor and The Number of Temporal Basis Functions

Type

journal article - other

Language

en

Original Abstract

The paper is focused on two important parameters of the scheme with weighted Laguerre polynomials: the scale factor of time axis and the number of temporal basis functions. In the first part of the paper, the approach for the determination of the number of temporal basis functions is proposed. Its number is determined during the run of the scheme. In the second part of the paper, the influence of the choice of the scale factor on the efficiency of the scheme, with the possibility of its optimum choice, is investigated. The investigations show that a chosen scale factor strongly influences the efficiency of the scheme. If the scale factor is not chosen close to the optimum one, the scheme becomes time-consuming. However, a simple formula for its prediction can not be given. The choice of the scale factor seems to be the weak point of the scheme with Laguerre polynomials.

English abstract

The paper is focused on two important parameters of the scheme with weighted Laguerre polynomials: the scale factor of time axis and the number of temporal basis functions. In the first part of the paper, the approach for the determination of the number of temporal basis functions is proposed. Its number is determined during the run of the scheme. In the second part of the paper, the influence of the choice of the scale factor on the efficiency of the scheme, with the possibility of its optimum choice, is investigated. The investigations show that a chosen scale factor strongly influences the efficiency of the scheme. If the scale factor is not chosen close to the optimum one, the scheme becomes time-consuming. However, a simple formula for its prediction can not be given. The choice of the scale factor seems to be the weak point of the scheme with Laguerre polynomials.

Keywords

Time domain analysis, method of moments, Laguerre polynomials.

RIV year

2009

Released

01.04.2009

Publisher

Ústav radioelektroniky, FEKT, VUT v Brně.

Location

Brno

Pages from

23

Pages to

28

Pages count

6

BibTex


@article{BUT47218,
  author="Jaroslav {Láčík}",
  title="Laguerre Polynomials' Scheme of Transient Analysis: Scale factor and The Number of Temporal Basis Functions",
  annote="The paper is focused on two important parameters of the scheme with weighted Laguerre polynomials: the scale factor of time axis and the number of temporal basis functions. 
In the first part of the paper, the approach for the determination of the number of temporal basis functions is proposed. Its number is determined during the run of the scheme.
In the second part of the paper, the influence of the choice of the scale factor on the efficiency of the scheme, with the possibility of its optimum choice, is investigated. The investigations show that a chosen scale factor strongly influences the efficiency of the scheme. If the scale factor is not chosen close to the optimum one, the scheme becomes time-consuming. However, a simple formula for its prediction can not be given. The choice of the scale factor seems to be the weak point of the scheme with Laguerre polynomials.",
  address="Ústav radioelektroniky, FEKT, VUT v Brně.",
  chapter="47218",
  institution="Ústav radioelektroniky, FEKT, VUT v Brně.",
  journal="Radioengineering",
  number="1",
  volume="18",
  year="2009",
  month="april",
  pages="23--28",
  publisher="Ústav radioelektroniky, FEKT, VUT v Brně.",
  type="journal article - other"
}