𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A discrete fractional angular transform

✍ Scribed by Zhengjun Liu; Muhammad Ashfaq Ahmad; Shutian Liu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
471 KB
Volume
281
Category
Article
ISSN
0030-4018

No coin nor oath required. For personal study only.

✦ Synopsis

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 of the DFAT is minimum than all other transforms with fractional order. This characteristics has very important practical applications in signal and image processing. Numerical results and the mathematical properties of this transform are also given. As fractional Fourier transform, this transform can be applied in one and two dimensional signal processing.

πŸ“œ SIMILAR VOLUMES

A discrete fractional random transform
A discrete fractional random transform
✍ Zhengjun Liu; Haifa Zhao; Shutian Liu πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 746 KB

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 fea

Watermarking based on discrete fractiona
Watermarking based on discrete fractional random transform
✍ 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

Continuous vs. discrete fractional Fouri
Continuous vs. discrete fractional Fourier transforms
✍ 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
Chaos-based discrete fractional Sine transform domain audio watermarking scheme
✍ 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