While there have been many publications on potential applications of chaos to fields such as communications, radar, sonar, random signal generation, channel equalization and others, designing continuous chaotic systems is still an unsolved problem. There are a number well known used for applications, but if any application become widely used, some way generating different signals necessary. Thi...

There are many noise reduction methods for chaotic signals, but most only work over a limited signal to noise range. If chaotic signals are to be used for communications, noise reduction techniques which can handle larger amounts of noise (or deterministic noise) are needed. I describe here a method of approximating a chaotic signal by constructing possible sequences based on unstable periodic ...

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...

We propose a novel signal model by combining the sparse stepped frequency signals with chaotic signals, i.e., the sparse stepped chaotic signal (SSCS) model, as well as the corresponding compression algorithm based on compressed sensing. In SSCS, the chaotic signals are modulated to sparse stepped frequencies to compose a transmitting burst. When receiving, the echo signals are demodulated to t...

We consider the problem of detection and estimation of chaotic signals in the presence of white Gaussian noise. Traditionally this has been a difficult problem since generalized likelihood ratio tests are difficult to implement due to the chaotic nature of the signals of interest. Based on Poincare's recurrence theorem we derive an algorithm for approximating a chaotic time series with unknown ...

Chaotic signals produced by nonlinear systems can be used for encrypting the transmitting messages in secure communications. Synchronization of chaotic systems has an important role in this field of science. Figure 1 shows how chaotic signals and chaos synchronization are utilized for secure communication. The message is a signal that should be transferred in a secure encrypted form. Using two ...