Fast algorithm of discrete gyrator transform based on convolution operation

Zhengjun Liu; Dezhi Chen; Jinpeng Ma; Shuyi Wei; Yanli Zhang; Jingmin Dai; Shutian Liu

doi:10.1016/j.ijleo.2010.06.010

Fast algorithm of discrete gyrator transform based on convolution operation

Zhengjun Liu^*
, Dezhi Chen
, Jinpeng Ma
, Shuyi Wei
, Yanli Zhang
, Jingmin Dai
, Shutian Liu

^*Corresponding author for this work

School of Physics

Harbin Institute of Technology

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

69 Scopus citations

Abstract

The expression of gyrator transform (GT) is rewritten by using convolution operation, from which GT can be composed of phase-only filtering, Fourier transform and inverse Fourier transform. Therefore, fast Fourier transform (FFT) algorithm can be introduced into the calculation of convolution format of GT in the discrete case. Some simulations are presented in order to demonstrate the validity of the algorithm.

Original language	English
Pages (from-to)	864-867
Number of pages	4
Journal	Optik
Volume	122
Issue number	10
DOIs	https://doi.org/10.1016/j.ijleo.2010.06.010
State	Published - May 2011

Keywords

Fourier transform
Gyrator transform

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10.1016/j.ijleo.2010.06.010

Cite this

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title = "Fast algorithm of discrete gyrator transform based on convolution operation",

abstract = "The expression of gyrator transform (GT) is rewritten by using convolution operation, from which GT can be composed of phase-only filtering, Fourier transform and inverse Fourier transform. Therefore, fast Fourier transform (FFT) algorithm can be introduced into the calculation of convolution format of GT in the discrete case. Some simulations are presented in order to demonstrate the validity of the algorithm.",

keywords = "Fourier transform, Gyrator transform",

author = "Zhengjun Liu and Dezhi Chen and Jinpeng Ma and Shuyi Wei and Yanli Zhang and Jingmin Dai and Shutian Liu",

year = "2011",

month = may,

doi = "10.1016/j.ijleo.2010.06.010",

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volume = "122",

pages = "864--867",

journal = "Optik",

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T1 - Fast algorithm of discrete gyrator transform based on convolution operation

AU - Liu, Zhengjun

AU - Chen, Dezhi

AU - Ma, Jinpeng

AU - Wei, Shuyi

AU - Zhang, Yanli

AU - Dai, Jingmin

AU - Liu, Shutian

PY - 2011/5

Y1 - 2011/5

N2 - The expression of gyrator transform (GT) is rewritten by using convolution operation, from which GT can be composed of phase-only filtering, Fourier transform and inverse Fourier transform. Therefore, fast Fourier transform (FFT) algorithm can be introduced into the calculation of convolution format of GT in the discrete case. Some simulations are presented in order to demonstrate the validity of the algorithm.

AB - The expression of gyrator transform (GT) is rewritten by using convolution operation, from which GT can be composed of phase-only filtering, Fourier transform and inverse Fourier transform. Therefore, fast Fourier transform (FFT) algorithm can be introduced into the calculation of convolution format of GT in the discrete case. Some simulations are presented in order to demonstrate the validity of the algorithm.

KW - Fourier transform

KW - Gyrator transform

UR - https://www.scopus.com/pages/publications/79953253509

U2 - 10.1016/j.ijleo.2010.06.010

DO - 10.1016/j.ijleo.2010.06.010

M3 - 文章

AN - SCOPUS:79953253509

SN - 0030-4026

VL - 122

SP - 864

EP - 867

JO - Optik

JF - Optik

IS - 10

ER -

Fast algorithm of discrete gyrator transform based on convolution operation

Abstract

Keywords

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