A new method for fourier analysis of discontinuous and peaky periodic waveforms

M. T. Abuelma'atti

doi:10.1016/S0898-1221(01)00106-7

A new method for fourier analysis of discontinuous and peaky periodic waveforms

M. T. Abuelma'atti^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A simple algorithm is presented for calculating the Fourier coefficients of discontinuous and peaky periodic waveforms. The implementation of this algorithm requires only simple mathematical operations: summations and multiplications. Applications of the proposed algorithm are illustrated by two examples: (1) a discontinuous waveform representing the output voltage of a cycloconverter, and (2) a peaky function representing the radial flux density in the air gap of a hysteresis machine.

Original language	English
Pages (from-to)	1417-1423
Number of pages	7
Journal	Computers and Mathematics with Applications
Volume	41
Issue number	10-11
DOIs	https://doi.org/10.1016/S0898-1221(01)00106-7
State	Published - May 2001

Keywords

Algorithms
Fourier coefficients
Waveforms

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

Access to Document

10.1016/S0898-1221(01)00106-7

Cite this

@article{d4bda50d76e1450c9478cca5a1b88852,

title = "A new method for fourier analysis of discontinuous and peaky periodic waveforms",

abstract = "A simple algorithm is presented for calculating the Fourier coefficients of discontinuous and peaky periodic waveforms. The implementation of this algorithm requires only simple mathematical operations: summations and multiplications. Applications of the proposed algorithm are illustrated by two examples: (1) a discontinuous waveform representing the output voltage of a cycloconverter, and (2) a peaky function representing the radial flux density in the air gap of a hysteresis machine.",

keywords = "Algorithms, Fourier coefficients, Waveforms",

author = "Abuelma'atti, \{M. T.\}",

year = "2001",

month = may,

doi = "10.1016/S0898-1221(01)00106-7",

language = "English",

volume = "41",

pages = "1417--1423",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

number = "10-11",

}

TY - JOUR

T1 - A new method for fourier analysis of discontinuous and peaky periodic waveforms

AU - Abuelma'atti, M. T.

PY - 2001/5

Y1 - 2001/5

N2 - A simple algorithm is presented for calculating the Fourier coefficients of discontinuous and peaky periodic waveforms. The implementation of this algorithm requires only simple mathematical operations: summations and multiplications. Applications of the proposed algorithm are illustrated by two examples: (1) a discontinuous waveform representing the output voltage of a cycloconverter, and (2) a peaky function representing the radial flux density in the air gap of a hysteresis machine.

AB - A simple algorithm is presented for calculating the Fourier coefficients of discontinuous and peaky periodic waveforms. The implementation of this algorithm requires only simple mathematical operations: summations and multiplications. Applications of the proposed algorithm are illustrated by two examples: (1) a discontinuous waveform representing the output voltage of a cycloconverter, and (2) a peaky function representing the radial flux density in the air gap of a hysteresis machine.

KW - Algorithms

KW - Fourier coefficients

KW - Waveforms

UR - https://www.scopus.com/pages/publications/0035341858

U2 - 10.1016/S0898-1221(01)00106-7

DO - 10.1016/S0898-1221(01)00106-7

M3 - Article

AN - SCOPUS:0035341858

SN - 0898-1221

VL - 41

SP - 1417

EP - 1423

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 10-11

ER -

A new method for fourier analysis of discontinuous and peaky periodic waveforms

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this