Digital noise generator based in a one-dimensional tent chaotic map on FPGA

2012 ◽  
Author(s):  
L. Palacios-Luengas ◽  
J.A. Martinez-nonthe ◽  
C. E. Rojas-Lopez ◽  
G. I. Duchen-Sanchez ◽  
R. Vazquez-Medina
Keyword(s):  
Chaotic Map ◽  
Noise Generator ◽  
One Dimensional

scholarly journals A Chaos based image Encryption Scheme using one Dimensional Exponential Logistic Map.

2019 ◽  
Vol 1 ◽  
pp. 223-237
Author(s):  
Terlumun Gbaden
Keyword(s):  
Correlation Coefficient ◽  
Chaotic Map ◽  
Logistic Map ◽  
Encryption Scheme ◽  
One Dimensional ◽  
Encryption And Decryption ◽  
Secret Keys ◽  
Encryption Decryption ◽  
Logistic Chaotic Map ◽  
Encrypted Images

The widespread use of images in various sectors of life makes its protection increasingly necessary and important. An improvement over encryption and decryption algorithm using exponential logistic chaotic map was proposed. In this work, we adopt an encryption/decryption strategy for colour images using the exponential logistic chaotic map. The proposed encryption/decryption algorithms are implemented in MATLAB for computer simulation. The experimental results indicate that the proposed algorithms can be used successfully to encrypt/decrypt images with secret keys. The performance analysis using histogram uniformity analysis and correlation coefficient show that the algorithms give larger space, quick speed and easy to realize. The encrypted images have good encryption effect and low correlation coefficient rendering it a good candidate for confidential and secure means of transmitting image information in untrusted networks.

scholarly journals Research on Pseudorandom Number Generator Based on Several New Types of Piecewise Chaotic Maps

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Hongyan Zang ◽  
Yue Yuan ◽  
Xinyuan Wei
Keyword(s):  
Theoretical Basis ◽  
Chaotic Maps ◽  
Dynamic Properties ◽  
Chaotic Map ◽  
Pseudorandom Number ◽  
Pseudorandom Number Generator ◽  
Number Generator ◽  
High Quality ◽  
One Dimensional ◽  
Construction Methods

This paper proposes three types of one-dimensional piecewise chaotic maps and two types of symmetrical piecewise chaotic maps and presents five theorems. Furthermore, some examples that satisfy the theorems are constructed, and an analysis and model of the dynamic properties are discussed. The construction methods proposed in this paper have a certain generality and provide a theoretical basis for constructing a new discrete chaotic system. In addition, this paper designs a pseudorandom number generator based on piecewise chaotic map and studies its application in cryptography. Performance evaluation shows that the generator can generate high quality random sequences efficiently.

A Chaotification model based on sine and cosecant functions for enhancing chaos

2021 ◽  
Author(s):  
Yuqing Li ◽  
Xing He ◽  
Dawen Xia
Keyword(s):  
Fixed Point ◽  
Lyapunov Exponent ◽  
Chaotic Maps ◽  
Dynamic Properties ◽  
Chaotic Map ◽  
Sample Entropy ◽  
One Dimensional ◽  
Model Based ◽  
Chaotic Region ◽  
Definition Of

Chaotic maps with higher chaotic complexity are urgently needed in many application scenarios. This paper proposes a chaotification model based on sine and cosecant functions (CMSC) to improve the dynamic properties of existing chaotic maps. CMSC can generate a new map with higher chaotic complexity by using the existing one-dimensional (1D) chaotic map as a seed map. To discuss the performance of CMSC, the chaos properties of CMSC are analyzed based on the mathematical definition of the Lyapunov exponent (LE). Then, three new maps are generated by applying three classical 1D chaotic maps to CMSC respectively, and the dynamic behaviors of the new maps are analyzed in terms of fixed point, bifurcation diagram, sample entropy (SE), etc. The results of the analysis demonstrate that the new maps have a larger chaotic region and excellent chaotic characteristics.

scholarly journals A Novel True Random Number Generator Based on Mouse Movement and a One-Dimensional Chaotic Map

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Wang Xingyuan ◽  
Qin Xue ◽  
Teng Lin
Keyword(s):  
Random Number ◽  
Chaotic Map ◽  
Random Number Generator ◽  
Random Numbers ◽  
Number Generator ◽  
Initial Value ◽  
One Dimensional ◽  
True Random Number Generator ◽  
Mouse Movement ◽  
Real Value

We propose a novel true random number generator using mouse movement and a one-dimensional chaotic map. We utilize thex-coordinate of the mouse movement to be the length of an iteration segment of our TRNs and they-coordinate to be the initial value of this iteration segment. And, when it iterates, we perturb the parameter with the real value produced by the TRNG itself. And we find that the TRNG we proposed conquers several flaws of some former mouse-based TRNGs. At last we take experiments and test the randomness of our algorithm with the NIST statistical test suite; results illustrate that our TRNG is suitable to produce true random numbers (TRNs) on universal personal computers (PCs).

scholarly journals Digital Noise Generator Design Using Inverted 1D Tent Chaotic Map

VLSI Design ◽  
2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Leonardo Palacios-Luengas ◽  
Gonzalo Isaac Duchen-Sánchez ◽  
José Luis Aragón-Vera ◽  
Rubén Vázquez-Medina
Keyword(s):  
Statistical Tests ◽  
Piecewise Linear ◽  
Chaotic Map ◽  
Binary Sequence ◽  
Noise Generator ◽  
Numerical Representation ◽  
Double Precision ◽  
Real Numbers ◽  
Original Definition ◽  
Statistical Behavior

This paper shows a digital noise generator designed in FPGA, based on a variant of the one-dimensional (1D) chaotic tent map (T-1D). The T-1D map is a piecewise linear 1D chaotic map that defines the statistical behavior of the generated sequences using its control parameter. In this way, the proposed noise generator is a highly competitive alternative in cryptographic systems when the statistical behavior of the sequences is closer to the uniform statistical distribution. The proposed system uses the inverted tent chaotic map (IT-1D), which has the same statistical behavior as the T-1D map. The fundamental algorithm used in this system was developed based on a 64-bit double precision format according to the numerical representation of floating point numbers defined in the IEEE-754 standard. The proposed system is analized using mechanical statistic tools and some statistical tests defined in the NIST 800-22SP (USA) standard. The main contribution of this work is the possibility of generating binary sequence of pseudorandom appearance by a procedure implemented in an FPGA device that translates real numbers to natural numbers preserving the statistical properties of sequences of real numbers that can be generated with the tent chaotic map in its original definition domain.

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