Image encryption with multiorders of fractional fourier transforms

IEEE Transactions on Information Forensics and Security

Volumn 5, Issue 4, 2010, Pages 734-738

  Tao, Ran ^a   Meng, Xiang Yi ^a   Wang, Yue ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Discrete fractional Fourier transform (DFRFT); fractional Fourier transform (FRFT); image encryption; interpolation; linear system

Indexed keywords

COMPUTATION BURDEN; DIFFERENT ORDER; DISCRETE FRACTIONAL FOURIER TRANSFORMS; ENCRYPTION SCHEMES; FRACTIONAL FOURIER DOMAINS; FRACTIONAL FOURIER TRANSFORMS; HIGHLY SENSITIVE; IMAGE DECRYPTIONS; IMAGE ENCRYPTIONS; KEY SPACE; NOVEL METHODS; ORIGINAL IMAGES; SECRET KEY; SUBIMAGES; TRANSFORM ORDER;

CRYPTOGRAPHY; DIGITAL SIGNAL PROCESSING; FOURIER OPTICS; INTERPOLATION; LINEAR SYSTEMS; MATHEMATICAL TRANSFORMATIONS; MINES; SECURITY OF DATA; SECURITY SYSTEMS;

FOURIER TRANSFORMS;

EID: 78649437877     PISSN: 15566013     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIFS.2010.2068289     Document Type: Article

References (16)

1. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform. West Sussex, U. K.: Wiley, 2001.
2. L. B. Almeida, "The fractional Fourier transform and time-frequency representations", IEEE Trans. Signal Process., vol. 42, no. 11, pp. 3084-3091, Nov. 1996.
3. D. Mustard, "The fractional Fourier transform and the Wigner distribution", J. Aust. Math. Soc. B, vol. 38, pp. 209-219, 1996.
4. R. Tao, B. Deng, and Y. Wang, "Research progress of the fractional Fourier transform in signal processing", Science in China (Ser. F, Information Science), vol. 49, pp. 1-25, Jan. 2006. (Pubitemid 44598410)
5. G. Unnikrishnan and K. Singh, "Double random fractional Fourier-domain encoding for optical security", Opt. Eng., vol. 39, pp. 2853-2859, 2000.
6. G. Unnikrishnan, J. Joseph, and K. Singh, "Optical encryption by double random phase encoding in the fractional Fourier domain", Opt. Lett., vol. 25, no. 12, pp. 887-889, 2000.
7. B. M. Hennelly and J. T. Sheridan, "Image encryption based on the fractional Fourier transform", Proc. SPIE, vol. 5202, pp. 76-87, 2003.
8. R. Tao, Y. Xin, and Y. Wang, "Double image encryption based on random phase encoding in the fractional Fourier domain", Opt. Express, vol. 15, no. 24, pp. 16067-16079, 2007.
9. R. Tao, X. M. Li, and Y. Wang, "Generalization of the fractional Hilbert transform", IEEE Signal Process. Lett., vol. 15, pp. 365-368, 2008.
10. S. C. Pei and W. L. Hsue, "Random discrete fractional Fourier transform", IEEE Signal Process. Lett., vol. 16, no. 12, pp. 1015-1018, Dec. 2009.
11. L. J. Yan and J. S. Pan, "Generalized discrete fractional Hadamard transformation and its application on the image encryption", in Proc. Int. Conf. Intelligent Information Hiding and Multimedia Signal Processing, 2007, pp. 457-460.
12. H. Al-Qaheri, A. Mustafi, and S. Banerjee, "Digital watermarking using ant colony optimization in fractional Fourier domain", J. Inf. Hiding Multimedia Signal Process., vol. 1, no. 3, pp. 179-189, Jul. 2010.
13. S. C. Pei and J. J. Ding, "Closed-form discrete fractional and affine Fourier transforms", IEEE Trans. Signal Process., vol. 48, no. 5, pp. 1338-1353, May 2000.
14. X. Y. Meng, R. Tao, and Y. Wang, "The fractional Fourier domain analysis of decimation and interpolation", Science in China, Ser. F, vol. 50, pp. 521-538, Jul. 2007.
15. X. Y. Meng, R. Tao, and Y. Wang, "Fractional Fourier domain analysis of cyclic multirate signal processing", Science in China, Ser. E, vol. 51, pp. 803-819, Jun. 2008.
16. M. Bouchard, "Multichannel affine and fast affine projection algorithms for active noise control and acoustic equalization systems", IEEE Trans. Speech Audio Process., vol. 11, no. 1, pp. 54-60, Jan. 2003.