Fractional Gabor transform

Yan Zhang; Ben Yuan Gu; Bi Zhen Dong; Guo Zhen Yang; Hongwu Ren; Xueru Zhang; Shutian Liu

doi:10.1364/OL.22.001583

Fractional Gabor transform

Yan Zhang^*
, Ben Yuan Gu
, Bi Zhen Dong
, Guo Zhen Yang
, Hongwu Ren
, Xueru Zhang
, Shutian Liu

^*Corresponding author for this work

School of Physics

CAS - Institute of Physics
Harbin Institute of Technology

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

23 Scopus citations

Abstract

A fractional Gabor transform (FRGT) is proposed. This new transform is a generalization of the conventional Gabor transform (GT) based on the Fourier transform to the windowed fractional Fourier transform (FRFT). The FRGT provides analyses of signals in both the real space and the FRFT frequency domain simultaneously. The space-FRFT frequency pattern can be rotated as the fractional order changes. The FRGT has an additional freedom, compared with the conventional GT, i.e., the transform order. The FRGT may offer a useful tool for guiding optimal filter design in the FRFT domain in signal processing.

Original language	English
Pages (from-to)	1583-1585
Number of pages	3
Journal	Optics Letters
Volume	22
Issue number	21
DOIs	https://doi.org/10.1364/OL.22.001583
State	Published - 1 Nov 1997

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title = "Fractional Gabor transform",

abstract = "A fractional Gabor transform (FRGT) is proposed. This new transform is a generalization of the conventional Gabor transform (GT) based on the Fourier transform to the windowed fractional Fourier transform (FRFT). The FRGT provides analyses of signals in both the real space and the FRFT frequency domain simultaneously. The space-FRFT frequency pattern can be rotated as the fractional order changes. The FRGT has an additional freedom, compared with the conventional GT, i.e., the transform order. The FRGT may offer a useful tool for guiding optimal filter design in the FRFT domain in signal processing.",

author = "Yan Zhang and Gu, \{Ben Yuan\} and Dong, \{Bi Zhen\} and Yang, \{Guo Zhen\} and Hongwu Ren and Xueru Zhang and Shutian Liu",

year = "1997",

month = nov,

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doi = "10.1364/OL.22.001583",

language = "英语",

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pages = "1583--1585",

journal = "Optics Letters",

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T1 - Fractional Gabor transform

AU - Zhang, Yan

AU - Gu, Ben Yuan

AU - Dong, Bi Zhen

AU - Yang, Guo Zhen

AU - Ren, Hongwu

AU - Zhang, Xueru

AU - Liu, Shutian

PY - 1997/11/1

Y1 - 1997/11/1

N2 - A fractional Gabor transform (FRGT) is proposed. This new transform is a generalization of the conventional Gabor transform (GT) based on the Fourier transform to the windowed fractional Fourier transform (FRFT). The FRGT provides analyses of signals in both the real space and the FRFT frequency domain simultaneously. The space-FRFT frequency pattern can be rotated as the fractional order changes. The FRGT has an additional freedom, compared with the conventional GT, i.e., the transform order. The FRGT may offer a useful tool for guiding optimal filter design in the FRFT domain in signal processing.

AB - A fractional Gabor transform (FRGT) is proposed. This new transform is a generalization of the conventional Gabor transform (GT) based on the Fourier transform to the windowed fractional Fourier transform (FRFT). The FRGT provides analyses of signals in both the real space and the FRFT frequency domain simultaneously. The space-FRFT frequency pattern can be rotated as the fractional order changes. The FRGT has an additional freedom, compared with the conventional GT, i.e., the transform order. The FRGT may offer a useful tool for guiding optimal filter design in the FRFT domain in signal processing.

UR - https://www.scopus.com/pages/publications/0008367456

U2 - 10.1364/OL.22.001583

DO - 10.1364/OL.22.001583

M3 - 文章

AN - SCOPUS:0008367456

SN - 0146-9592

VL - 22

SP - 1583

EP - 1585

JO - Optics Letters

JF - Optics Letters

IS - 21

ER -

Fractional Gabor transform

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