A note on Gabor coefficient computing with Taylor series expansion

Ligang Sun; Roeland Dilz; Martijn C. van Beurden

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.

Original language	English
Pages	134-135
Number of pages	2
Publication status	Published - 14 Jul 2022
Event	Scientific Computing in Electrical Engineering, SCEE 2022 - Amsterdam, Netherlands Duration: 11 Jul 2022 → 14 Jul 2022 https://www.scee-conferences.org/

Conference

Conference	Scientific Computing in Electrical Engineering, SCEE 2022
Abbreviated title	SCEE 2022
Country/Territory	Netherlands
City	Amsterdam
Period	11/07/22 → 14/07/22
Internet address	https://www.scee-conferences.org/

Keywords

integral computing
Gabor frames
special functions

Access to Document

A note on Gabor coefficient computing with Taylor series expansionFinal published version, 3.09 MB

Cite this

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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",

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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 -