𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A discrete fractional random transform

✍ Scribed by Zhengjun Liu; Haifa Zhao; Shutian Liu


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
746 KB
Volume
255
Category
Article
ISSN
0030-4018

No coin nor oath required. For personal study only.

✦ Synopsis


We propose a discrete fractional random transform based on a generalization of the discrete fractional Fourier transform with an intrinsic randomness. Such discrete fractional random transform inheres excellent mathematical properties of the fractional Fourier transform along with some fantastic features of its own. As a primary application, the discrete fractional random transform has been used for image encryption and decryption.


πŸ“œ SIMILAR VOLUMES


Watermarking based on discrete fractiona
✍ Jun Guo; Zhengjun Liu; Shutian Liu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 362 KB

We propose a novel watermarking algorithm based on discrete fractional random transform. Random block selection and high amplitude selection techniques have been employed to improve the robustness of the watermarking algorithm. The imperceptibility of the watermarking is improved by adjusting the in

A discrete fractional angular transform
✍ Zhengjun Liu; Muhammad Ashfaq Ahmad; Shutian Liu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 471 KB

A new discrete fractional transform defined by two parameters (angle and fractional order) is presented. All eigenvectors of the transform are obtained by an angle using recursion method. This transform is named as discrete fractional angular transform (DFAT). The computational load of kernel matrix

The discrete fractional random cosine an
✍ Zhengjun Liu; Qing Guo; Shutian Liu πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 204 KB

Based on the discrete fractional random transform (DFRNT), we present the discrete fractional random cosine and sine transforms (DFRNCT and DFRNST). We demonstrate that the DFRNCT and DFRNST can be regarded as special kinds of DFRNT and thus their mathematical properties are inherited from the DFRNT

Continuous vs. discrete fractional Fouri
✍ Natig M. Atakishiyev; Luis Edgar Vicent; Kurt Bernardo Wolf πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 457 KB

We compare the ΓΏnite Fourier (-exponential) and Fourier-Kravchuk transforms; both are discrete, ΓΏnite versions of the Fourier integral transform. The latter is a canonical transform whose fractionalization is well deΓΏned. We examine the harmonic oscillator wavefunctions and their ΓΏnite counterparts:

Chaos-based discrete fractional Sine tra
✍ Mingquan Fan; Hongxia Wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 579 KB

## a b s t r a c t We proposed a novel discrete fractional Sine transform (DFRST) based watermarking scheme for audio data copyright protection. Chaotic sequences were adopted to improve the security of the proposed watermarking scheme. Simulations under various conditions were given to verify the