Implementation of an encrypted-compressed image wireless transmission scheme based on chaotic fractional-order systems

Abstract In this paper, an encryption, compression and transmission scheme is proposed. The scheme is based on fractional-order chaotic systems combined with Discrete Wavelet Transform (DWT) and Quadrature Phase Shift Keying (QPSK) modulation. The cipher performs rounds of digital operations between the vector states of the fractional-order system and the image to be encrypted. The implementation of the transmission process is made between a pair of software defined radio modules through a QPSK modulation scheme. The experimental results and security analysis show adequate performances for several applications in the presence of multiple attacks and environmental noise.

[1]  Cheng-Hsiung Yang,et al.  FPGA Implementation and Design of a Hybrid Chaos-AES Color Image Encryption Algorithm , 2020, Symmetry.

[2]  Souyah Amina,et al.  An efficient and secure chaotic cipher algorithm for image content preservation , 2018, Commun. Nonlinear Sci. Numer. Simul..

[3]  E. Campos-Cantón,et al.  Generation of Dynamical S-Boxes for Block Ciphers via Extended Logistic Map , 2020 .

[4]  Jamal N. Al-Karaki,et al.  A lightweight and efficient digital image encryption using hybrid chaotic systems for wireless network applications , 2019, J. Inf. Secur. Appl..

[5]  Hongwen Yang,et al.  Capacity of AWGN and Fading Channels with BPSK/QPSK Modulation , 2018, IEICE Trans. Commun..

[6]  J. Fridrich Symmetric Ciphers Based on Two-Dimensional Chaotic Maps , 1998 .

[7]  Tariq Shah,et al.  Lightweight secure image encryption scheme based on chaotic differential equation , 2020 .

[8]  Naveen K. Chilamkurti,et al.  An encryption algorithm based on combined chaos in body area networks , 2017, Comput. Electr. Eng..

[9]  Rider Jaimes-Reátegui,et al.  Multistability Emergence through Fractional-Order-Derivatives in a PWL Multi-Scroll System , 2020, Electronics.

[10]  Yao-Chen Hung,et al.  Chaotic communication via temporal transfer entropy. , 2008, Physical review letters.

[11]  Jesús M. Muñoz-Pacheco,et al.  The Effect of a Non-Local Fractional Operator in an Asymmetrical Glucose-Insulin Regulatory System: Analysis, Synchronization and Electronic Implementation , 2020, Symmetry.

[12]  Omar Guillén-Fernández,et al.  Chaotic Image Encryption Using Hopfield and Hindmarsh–Rose Neurons Implemented on FPGA , 2020, Sensors.

[13]  Sifeu Takougang Kingni,et al.  Three-dimensional chaotic autonomous van der pol–duffing type oscillator and its fractional-order form , 2018, Chinese Journal of Physics.

[14]  Yu-Ming Chu,et al.  The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization , 2020 .

[15]  L. C. Gómez-Pavón,et al.  Synchronization in a fractional-order model of pancreatic β-cells , 2018, The European Physical Journal Special Topics.

[16]  Tingting Zhao,et al.  A novel chaotic system and its application in a color image cryptosystem , 2019, Optics and Lasers in Engineering.

[17]  Jing Luo,et al.  Synchronization of memristor-based chaotic systems by a simplified control and its application to image en-/decryption using DNA encoding , 2019 .

[18]  Mislav Grgic,et al.  Performance analysis of image compression using wavelets , 2001, IEEE Trans. Ind. Electron..

[19]  Hadi Jahanshahi,et al.  A financial hyperchaotic system with coexisting attractors: Dynamic investigation, entropy analysis, control and synchronization , 2019, Chaos, Solitons & Fractals.

[20]  Esteban Tlelo-Cuautle,et al.  Randomness improvement of chaotic maps for image encryption in a wireless communication scheme using PIC-microcontroller via Zigbee channels , 2020 .

[21]  Gonzalo Álvarez,et al.  Some Basic Cryptographic Requirements for Chaos-Based Cryptosystems , 2003, Int. J. Bifurc. Chaos.

[22]  Hongjun Liu,et al.  Image encryption using complex hyper chaotic system by injecting impulse into parameters , 2019, Appl. Math. Comput..

[23]  Huiqing Huang Novel Scheme for Image Encryption Combining 2D Logistic-Sine-Cosine Map and Double Random-Phase Encoding , 2019, IEEE Access.

[24]  Rider Jaimes-Reátegui,et al.  A physical interpretation of fractional-order-derivatives in a jerk system: Electronic approach , 2020, Commun. Nonlinear Sci. Numer. Simul..

[25]  Lakshmi Burra Chaotic Dynamics in Nonlinear Theory , 2014 .

[26]  Zhijun Li,et al.  One to four-wing chaotic attractors coined from a novel 3D fractional-order chaotic system with complex dynamics , 2018, Chinese Journal of Physics.

[27]  Qian Du,et al.  Hyperspectral Image Compression Using JPEG2000 and Principal Component Analysis , 2007, IEEE Geoscience and Remote Sensing Letters.

[28]  Sachin Bhalekar,et al.  Chaos in fractional ordered Liu system , 2010, Comput. Math. Appl..

[29]  Safya Belghith,et al.  Chaos-based partial image encryption scheme based on linear fractional and lifting wavelet transforms , 2017 .

[30]  Hai Yu,et al.  A fast chaos-based image encryption scheme with a dynamic state variables selection mechanism , 2015, Commun. Nonlinear Sci. Numer. Simul..

[31]  Ruisong Ye,et al.  Cryptanalysis and improvement of medical image encryption using high-speed scrambling and pixel adaptive diffusion , 2020, Signal Process..

[32]  Xintao Duan,et al.  A Novel Hybrid Secure Image Encryption Based on the Shuffle Algorithm and the Hidden Attractor Chaos System , 2020, Entropy.

[33]  Ahmed A. Abd El-Latif,et al.  Robust Encryption of Quantum Medical Images , 2018, IEEE Access.

[34]  Miguel Angel Platas-Garza,et al.  Synchronization and FPGA realization of complex networks with fractional-order Liu chaotic oscillators , 2018, Appl. Math. Comput..

[35]  Zheng Qin,et al.  Cryptanalysis and enhancement of an image encryption scheme based on a 1-D coupled Sine map , 2020, Nonlinear Dynamics.

[36]  Xiangjun Wu,et al.  A New Color Image Encryption Scheme Using CML and a Fractional-Order Chaotic System , 2015, PloS one.

[37]  Mbuyu Sumbwanyambe,et al.  A Selective Image Encryption Scheme Based on 2D DWT, Henon Map and 4D Qi Hyper-Chaos , 2019, IEEE Access.

[38]  Jesus M. Munoz-Pacheco,et al.  Fractional chaos based-cryptosystem for generating encryption keys in Ad Hoc networks , 2020, Ad Hoc Networks.

[39]  Musheer Ahmad,et al.  Cryptanalysis of an Image Encryption Algorithm Based on Combined Chaos for a BAN System, and Improved Scheme Using SHA-512 and Hyperchaos , 2018, Symmetry.

[40]  Tariq Shah,et al.  Construction of new substitution boxes using linear fractional transformation and enhanced chaos , 2019, Chinese Journal of Physics.

[41]  Ana Dalia Pano-Azucena,et al.  Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications , 2020 .

[42]  Zia Bashir,et al.  Chaotic Dynamical State Variables Selection Procedure Based Image Encryption Scheme , 2017, Symmetry.

[43]  Michel Barlaud,et al.  Image coding using wavelet transform , 1992, IEEE Trans. Image Process..