Fourier analyzer concept that generalize the waveform communications to include chaotic carriers can be used to discuss and optimize detection problems. Using this new description it is possible to develop new detector configurations with improved performance for chaotic communications that may be used in ultra-wideband radio (UWB). Radio communications via channels already occupied by traditio...

In this paper identical and generalized synchronization and the complex dynamics of hyperchaotic circuits are exploited for designing reliable cryptosystems. Since chaotic additive masking, chaotic switching and chaotic parameter modulation methods can have a low degree of security, an attempt to overcome this drawback is made by utilizing hyperchaotic circuits which make available several chao...

With the widespread use of communication technologies, cryptosystems are therefore critical to guarantee security over open networks as the Internet. Pseudo-random number generators (PRNGs) are fundamental in cryptosystems and information hiding schemes. One of the existing chaos-based PRNGs is using chaotic iterations schemes. In prior literature, the iterate function is just the vectorial boo...

In this paper, a real-time implementation of the Rössler chaotic system in a Field Programmable Gate Array (FPGA) is presented. At first, we use directly the VHDL language for the hardware description of the system, contrary to some previous works where the Xilinx system generator of MATLAB/SIMULINK is used to generate the VHDL code. Then, after a step of optimization, to reduce the resources o...

This literature review glances at the research that has been published in the area of chaos cryptography along with cryptanalysis of chaotic cryptosystem. It compares and contrasts the work done in different research papers towards the designing and cryptanalysis of chaotic cryptosystem for the validity of cryptosystems and improvement in encryption techniques. This review analyzes the role tha...

Lots of researches indicate that the inefficient generation of random numbers is a significant bottleneck for information communication applications. Therefore, Field Programmable Gate Array (FPGA) is developed to process a scalable fixed-point method for random streams generation. In our previous researches, we have proposed a technique by applying some well-defined discrete chaotic iterations...

A third order Phase locked loop, PLL, is widely used in communication systems. Lately, researcher had found that under certain conditions, such as gain, PLL is experiencing chaotic oscillations. For a single PLL, studies have shown that when the gain of PLL increases, it will encounter a chaotic behavior. To see the mutual effect of two coupled PLL, this paper will derive the mathematical dynam...

—Generation of random or pseudorandom numbers, nowadays, is a key feature of industrial mathematics. Pseudorandom or chaotic numbers are used in many areas of contemporary technology such as modern communication systems and engineering applications. More and more European or US patents using discrete mappings for this purpose are obtained by researchers of discrete dynamical systems [1], [2]. E...

This thesis treats the topic of chaos based broadband communication schemes, with particular emphasis on the statistical analysis and optimization of such schemes. The work is motivated by the recent advances in nonlinear system theory suggesting advantages of using chaos in digital communication applications. In particular, the inherent broadband nature of chaotic signals and their synchroniza...