A note on Gabor coefficient computing with Taylor series expansion

Ligang Sun; Roeland Dilz; Martijn C. van Beurden

Samenvatting

We present an improvement on a previously proposed method for computing Gabor coefficients of characteristic functions with polygonal cross sections, based on a Taylor series expansion and Olver's algorithm. Several requirements are proposed to make the method more robust. Numerical evidence is given to show a convergent solution can be obtained based on a sufficiently high truncation number and working precision.

Originele taal-2	Engels
Pagina's	134-135
Aantal pagina's	2
Status	Gepubliceerd - 14 jul. 2022
Evenement	Scientific Computing in Electrical Engineering, SCEE 2022 - Amsterdam, Nederland Duur: 11 jul. 2022 → 14 jul. 2022 https://www.scee-conferences.org/

Congres

Congres	Scientific Computing in Electrical Engineering, SCEE 2022
Verkorte titel	SCEE 2022
Land/Regio	Nederland
Stad	Amsterdam
Periode	11/07/22 → 14/07/22
Internet adres	https://www.scee-conferences.org/

Toegang tot document

A note on Gabor coefficient computing with Taylor series expansionDefinitieve gepubliceerde versie, 3,09 MB

Citeer dit

@conference{8eafeb4ee4a04c2397d951f5905223ab,

title = "A note on Gabor coefficient computing with Taylor series expansion",

abstract = "We present an improvement on a previously proposed method for computing Gabor coefficients of characteristic functions with polygonal cross sections, based on a Taylor series expansion and Olver's algorithm. Several requirements are proposed to make the method more robust. Numerical evidence is given to show a convergent solution can be obtained based on a sufficiently high truncation number and working precision.",

keywords = "integral computing, Gabor frames, special functions",

author = "Ligang Sun and Roeland Dilz and \{van Beurden\}, \{Martijn C.\}",

year = "2022",

month = jul,

day = "14",

language = "English",

pages = "134--135",

note = "Scientific Computing in Electrical Engineering, SCEE 2022, SCEE 2022 ; Conference date: 11-07-2022 Through 14-07-2022",

url = "https://www.scee-conferences.org/",

}

TY - CONF

T1 - A note on Gabor coefficient computing with Taylor series expansion

AU - Sun, Ligang

AU - Dilz, Roeland

AU - van Beurden, Martijn C.

PY - 2022/7/14

Y1 - 2022/7/14

N2 - We present an improvement on a previously proposed method for computing Gabor coefficients of characteristic functions with polygonal cross sections, based on a Taylor series expansion and Olver's algorithm. Several requirements are proposed to make the method more robust. Numerical evidence is given to show a convergent solution can be obtained based on a sufficiently high truncation number and working precision.

AB - We present an improvement on a previously proposed method for computing Gabor coefficients of characteristic functions with polygonal cross sections, based on a Taylor series expansion and Olver's algorithm. Several requirements are proposed to make the method more robust. Numerical evidence is given to show a convergent solution can be obtained based on a sufficiently high truncation number and working precision.

KW - integral computing

KW - Gabor frames

KW - special functions

M3 - Abstract

SP - 134

EP - 135

T2 - Scientific Computing in Electrical Engineering, SCEE 2022

Y2 - 11 July 2022 through 14 July 2022

ER -

A note on Gabor coefficient computing with Taylor series expansion

Samenvatting

Congres

Toegang tot document

Vingerafdruk

Citeer dit