Watermarking based on discrete wavelet transform and q-deformed chaotic map

Date
2017
Advisor
Instructor
Source Title
Chaos, Solitons and Fractals
Print ISSN
0960-0779
Electronic ISSN
Publisher
Elsevier Ltd
Volume
104
Issue
Pages
6 - 17
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

Hierarchy of one-dimensional ergodic chaotic maps with Tsallis type of q-deformation are studied. We find that in the chaotic region, these maps with q-deformation are ergodic as the Birkhoff ergodic theorem predicts. q-deformed maps are defined as ratios of polynomials of degree N. Hence, by using the Stieltjes transform approach (STA), invariant measure is proposed. In addition, considering Sinai-Ruelle-Bowen (SRB) measure, Kolmogorov-Sinai (KS) entropy for q-deformed maps is calculated analytically. The new q-deformed scheme have ability to keep previous significant properties such as ergodicity, sensitivity to initial condition. By adding q-parameter to the hierarchy in order increase the randomness and one-way computation, we present a new scheme for watermarking. The introduced algorithm tries to improve the problem of failure of encryption such as small key space, encryption speed and level of security. To illustrate the effectiveness of the proposed scheme, some security analyses are presented. By considering the obtained results, it can be concluded that, this scheme have a high potential to be adopted for watermarking. It can be concluded that, the proposed novel watermarking scheme for image authentication can be applied for practical applications. © 2017 Elsevier Ltd

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Other identifiers
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Keywords
Digital image watermarking, Ergodicity, Key space, Pseudo random sequence, q-deformed chaotic map, Security, Chaotic systems, Computation theory, Cryptography, Deformation, Digital watermarking, Discrete wavelet transforms, Watermarking, Wavelet transforms, Chaotic map, Digital image watermarking, Ergodicity, Key space, Pseudorandom sequences, Security, Image watermarking
Citation
Published Version (Please cite this version)