Multifractional fourier transform method and its applications to image encryption

Ran Qiwen; Qi Wang; Living Tan

Multifractional fourier transform method and its applications to image encryption

Ran Qiwen^*
, Qi Wang
, Living Tan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

2 Scopus citations

Abstract

The multiplicity of the fractional Fourier transform (FRFT), which is intrinsic in any fractional operator, has been claimed by several authors, but never across-the-board developed. Particularly, the weight-type FRFT (WFRFT) has not been investigated. Starting with defining the multifractional Fourier transform (MFRFT), we gained the generalization permutation matrix group (GPMG) representation and multiplicity of the MFRFT, and the relationships among the MFRFT the standard WFRFT and the standard CFRFT. Finally, as a application, a novel image encryption method based on the MFRFT is propounded. Similation results show that this method is safe, practicable and impactful.

Original language	English
Pages (from-to)	29-34
Number of pages	6
Journal	Chinese Journal of Electronics
Volume	12
Issue number	1
State	Published - Jan 2003

Keywords

Fractional fourier transform
Generalized permutation matrix group
Image encryption
Multifractional fourier transform

Cite this

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title = "Multifractional fourier transform method and its applications to image encryption",

abstract = "The multiplicity of the fractional Fourier transform (FRFT), which is intrinsic in any fractional operator, has been claimed by several authors, but never across-the-board developed. Particularly, the weight-type FRFT (WFRFT) has not been investigated. Starting with defining the multifractional Fourier transform (MFRFT), we gained the generalization permutation matrix group (GPMG) representation and multiplicity of the MFRFT, and the relationships among the MFRFT the standard WFRFT and the standard CFRFT. Finally, as a application, a novel image encryption method based on the MFRFT is propounded. Similation results show that this method is safe, practicable and impactful.",

keywords = "Fractional fourier transform, Generalized permutation matrix group, Image encryption, Multifractional fourier transform",

author = "Ran Qiwen and Qi Wang and Living Tan",

year = "2003",

month = jan,

language = "英语",

volume = "12",

pages = "29--34",

journal = "Chinese Journal of Electronics",

issn = "1022-4653",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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TY - JOUR

T1 - Multifractional fourier transform method and its applications to image encryption

AU - Qiwen, Ran

AU - Wang, Qi

AU - Tan, Living

PY - 2003/1

Y1 - 2003/1

N2 - The multiplicity of the fractional Fourier transform (FRFT), which is intrinsic in any fractional operator, has been claimed by several authors, but never across-the-board developed. Particularly, the weight-type FRFT (WFRFT) has not been investigated. Starting with defining the multifractional Fourier transform (MFRFT), we gained the generalization permutation matrix group (GPMG) representation and multiplicity of the MFRFT, and the relationships among the MFRFT the standard WFRFT and the standard CFRFT. Finally, as a application, a novel image encryption method based on the MFRFT is propounded. Similation results show that this method is safe, practicable and impactful.

AB - The multiplicity of the fractional Fourier transform (FRFT), which is intrinsic in any fractional operator, has been claimed by several authors, but never across-the-board developed. Particularly, the weight-type FRFT (WFRFT) has not been investigated. Starting with defining the multifractional Fourier transform (MFRFT), we gained the generalization permutation matrix group (GPMG) representation and multiplicity of the MFRFT, and the relationships among the MFRFT the standard WFRFT and the standard CFRFT. Finally, as a application, a novel image encryption method based on the MFRFT is propounded. Similation results show that this method is safe, practicable and impactful.

KW - Fractional fourier transform

KW - Generalized permutation matrix group

KW - Image encryption

KW - Multifractional fourier transform

UR - https://www.scopus.com/pages/publications/0037217637

M3 - 文章

AN - SCOPUS:0037217637

SN - 1022-4653

VL - 12

SP - 29

EP - 34

JO - Chinese Journal of Electronics

JF - Chinese Journal of Electronics

IS - 1

ER -

Multifractional fourier transform method and its applications to image encryption

Abstract

Keywords

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