Testing and Analysis of Chen Chaotic Mapping for Speech Cryptography

Abstract

The attempts to improve the security of the speech signals are increasing with new encryption schemes. Many recent researches of speech encryption algorithms have been increasingly based on chaotic systems, but the drawbacks of weak security and small key space in one-dimensional chaotic cryptosystems are conspicuous. In this article, a new speech encryption scheme is used. It employs one of the three-dimensional chaotic systems to encrypt a source signal by permutations, thereby confusing the relationship between the cipher signal and the plain signal. A higher-order polynomial equation and rotating matrix are used to strengthen the proposed method. It significantly increases the resistance to attacks. The proposed system has the advantages of smaller iteration times and bigger key space. The system has entertained high-security analysis such as the signal-to-noise ratio, peak signal-to-noise ratio, auto correlation, key sensitivity analysis, number of sample change rate, unified average changing intensity, and histogram analysis. The analysis results illustrate that the proposed system is highly efficient and robust to threats.

A Novel Image Encryption Scheme Based on 2D Fractional Chaotic Map, DWT and 4D Hyper-chaos

“…So far, based on the above 1D chaotic maps, such as the Logistic map and the Tent map [22][23][24], and 2D chaotic systems, such as the Henon map [25][26][27][28], and 3D chaotic systems such as the Rossler chaotic attractor [29,30], the Chua chaotic system [31,32] and the Chen chaotic system [33][34][35], the applications of chaotic systems in image encryption schemes have been relatively mature in chaos researches and developments. However, the fractional-order chaotic systems have more complex dynamic behaviors and mathematical explanations than the above integer order chaotic systems, so they have higher degrees of non-linearity [36].…”

The Establishment and Dynamic Properties of a New 4D Hyperchaotic System with Its Application and Statistical Tests in Gray Images

“…At present, research on 1D chaos, such as Logistic mapping [ 5 , 6 , 7 ]; 2D chaos, such as Henon mapping [ 8 , 9 , 10 ]; and 3D chaos, such as Rossler chaotic attractor [ 11 , 12 , 13 ], Chua [ 14 , 15 , 16 ], and Chen [ 17 , 18 , 19 ], have been very extensive and mature. With the development of chaos theory, many people began to study high-dimensional chaotic attractors, such as 4D chaotic attractor subsystems [ 20 , 21 , 22 , 23 ], 5D chaotic attractor subsystems [ 24 , 25 , 26 , 27 ], and 6D chaotic attractor subsystems [ 28 ].…”