THE FRACTIONAL QUATERNION FOURIER NUMBER TRANSFORM

被引：0
|
作者：
da Silva, Luiz C. [1 ]
de Oliveira Neto, Jose R. [2 ]
Lima, Juliano B. [1 ]
机构：
[1] Univ Fed Pernambuco, Dept Elect & Syst, Recife, PE, Brazil
[2] Univ Fed Pernambuco, Dept Mech Engn, Recife, PE, Brazil
来源：
2020 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING | 2020年
关键词：
Fourier number transform; quaternion Fourier transform; color image encryption; THEORETIC TRANSFORMS; ENCRYPTION;
D O I：
10.1109/icassp40776.2020.9054714
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
In this paper, we define a fractional version of the quaternion Fourier number transform (QFNT). With this purpose, we first study the eigenstructure of the QFNT; this is used to obtain the eigendecomposition of the corresponding transform matrix, from which the fractional QFNT can be computed. A multiple parameter version of this transform is then employed to perform encryption of color images. Preliminary results suggest that the proposed scheme is secure, while allowing to deal with all color channels in a holistic manner and take into account possible interactions between them.
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页码：5610 / 5614
页数：5
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