TY - GEN
T1 - The generalized weighted fractional fourier transform and its application to image encryption
AU - Lang, Jun
AU - Tao, Ran
AU - Wang, Yue
PY - 2009
Y1 - 2009
N2 - In this paper, Shih's weighted fractional Fourier transform is generalized to contain two 4D vector parameters ℳ, script N ∈ ℤ4 , which is denoted by Generalized Weighted Fractional Fourier Transform (GWFRFT). The proposed GWFRFT is shown to possess all of the desired properties for Shih's FRFT. In fact, the GWFRFT will reduce to Shih's FRFT when both ℳ, script N are zero vectors. The eigenvalue relationships between GWFRFT and two original FRFT definitions are discussed. To give an example of application, we exploit its multiple-parameter feature and propose the double random phase encoding in the GWFRFT domain for digital image encryption. The proposed encoding scheme in the GWFRFT domain can enhances data security.
AB - In this paper, Shih's weighted fractional Fourier transform is generalized to contain two 4D vector parameters ℳ, script N ∈ ℤ4 , which is denoted by Generalized Weighted Fractional Fourier Transform (GWFRFT). The proposed GWFRFT is shown to possess all of the desired properties for Shih's FRFT. In fact, the GWFRFT will reduce to Shih's FRFT when both ℳ, script N are zero vectors. The eigenvalue relationships between GWFRFT and two original FRFT definitions are discussed. To give an example of application, we exploit its multiple-parameter feature and propose the double random phase encoding in the GWFRFT domain for digital image encryption. The proposed encoding scheme in the GWFRFT domain can enhances data security.
KW - Digital signal processing
KW - Fractional fourier transform
KW - Image encryption
UR - http://www.scopus.com/inward/record.url?scp=73849142735&partnerID=8YFLogxK
U2 - 10.1109/CISP.2009.5301283
DO - 10.1109/CISP.2009.5301283
M3 - Conference contribution
AN - SCOPUS:73849142735
SN - 9781424441310
T3 - Proceedings of the 2009 2nd International Congress on Image and Signal Processing, CISP'09
BT - Proceedings of the 2009 2nd International Congress on Image and Signal Processing, CISP'09
T2 - 2009 2nd International Congress on Image and Signal Processing, CISP'09
Y2 - 17 October 2009 through 19 October 2009
ER -