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Video encryption via synchronization of a fractional order T-S fuzzy memristive hyperchaotic system

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Abstract

Memristors are frequently utilized as essential blocks in characterizing new nonlinear circuits consisting of fewer elements. In this paper, mathematical modeling of a fractional-order memristor circuit is developed by replacing classical circuit elements by fractional elements. The main contributions of this paper are: (1) A fractional order non-linear memristive hyper-chaotic system (MHCS) is remodeled into linear memristive hyperchaotic sub-models by using T-S fuzzy rules for the first time. (2) Synchronization of a sender and receiver system with applications in video cryptosystem is addressed. (3) A fuzzy feedback controller based on T-S fuzzy control laws which guarantee synchronization of the MHCS is designed. (4) Video encryption and decryption algorithms based on converting video samples into image frame are developed and a sequence of random masks is securely transacted with the help of a sequence of chaotic self-invertible masks for encryption and decryption process. (5) High-level security of the proposed work is entrusted by analyzing various metrics including entropy, Peak signal-to-noise ratio (PSNR), structural similarity index measure (SSIM), number of changing pixel rate (NPCR), and edge difference ratio (EDR) along with numerical simulations. (6) The proposed encryption algorithms have several advantages such as high-level randomness, key sensitivity, and motion control of encrypted frames. Numerical simulation and experimental results demonstrate the effectiveness, efficiency and feasibility of real-world applications of the proposed algorithms.

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Acknowledgements

This work is supported by NFSC, UGC, New Delhi, File No. 82-1/2018 (SA-III), UGC-Ref. No.: 4071/(CSIR-UGC NET JUNE 2018).

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Authors and Affiliations

  1. Department of Mathematics, Koneru Lakshmaiah Education Foundation (Deemed to be University), Green Fields, Vaddeswaram, 522 302, Andhra Pradesh, India

    N. Ramesh Babu

  2. Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, 624 302, Dindigul, Tamil Nadu, India

    N. Ramesh Babu & P. Balasubramaniam

  3. Institute of Artificial Intelligence and Marine Robotics, College of Marine Electrical Engineering, Dalian Maritime University, 1 Linghai Road, Ganjingzi District, Dalian, 116026, People’s Republic of China

    Er. Meng Joo

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  1. N. Ramesh Babu
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Correspondence to P. Balasubramaniam.

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Babu, N.R., Balasubramaniam, P. & Joo, E.M. Video encryption via synchronization of a fractional order T-S fuzzy memristive hyperchaotic system. Multimed Tools Appl 83, 26055–26088 (2024). https://doi.org/10.1007/s11042-023-16483-7

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  • DOI: https://doi.org/10.1007/s11042-023-16483-7

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