Spectral analysis of chaotic signals with applications in communications

• Grant number: 14/04864-2
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2014
• End date: June 30, 2016
• Field of knowledge: Engineering - Electrical Engineering - Telecommunications
• Principal Investigator: Marcio Eisencraft
• Grantee: Marcio Eisencraft
• Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• City of the host institution: São Paulo
• Associated researchers: Magno Teófilo Madeira da Silva ; Murilo Bellezoni Loiola

Abstract

In the last decades, various possible applications of chaotic signals in Engineering and in particular in Telecommunications were proposed. These signals are commonly described in the literature as wideband signals due to its non-periodicity. However, this characterization is not sufficient when considering practical implementations: it is necessary to determine and possibly control the autocorrelation, the power spectral density and the bandwidth occupied by the chaotic signals to be used. In this project, we seek to contribute in this study continuing up previous works by the proposer.On the one hand, we intend to spectrally characterize signals generated by one-dimensional piecewise linear maps. In previous works, we obtained this characterization for a particular family of maps, the skew tent family. In this project, we aim to extend these results for general piecewise linear maps. Once this goal is achieved, we plan to obtain even more general results, at least numerical, working with quadratic one-dimensional maps.On the other hand, it is intended to advance in the use of digital filters in feedback loops for controlling the bandwidth of chaotic signals. This idea was presented in previous works of the proposer. However, a more formal analysis of the conditions that the filter coefficients must meet so that the generated signals remain chaotic, as well as applications of these signals in digital communication systems must still be further explored.Each of these aspects of the problem is linked to a postgraduate supervision. Both are based primarily on heavy computational simulations. With this proposal, we wish mainly to improve the computational resources available for such simulations. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FONTES, RODRIGO T.; EISENCRAFT, MARCIO. A digital bandlimited chaos-based communication system. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 37, p. 374-385, AUG 2016. (14/04864-2)

CANDIDO, RENATO; SORIANO, DIOGO C.; SILVA, MAGNO T. M.; EISENCRAFT, MARCIO. Do chaos-based communication systems really transmit chaotic signals?. Signal Processing, v. 108, p. 412-420, MAR 2015. (14/04864-2, 12/24835-1)

CANDIDO, RENATO; EISENCRAFT, MARCIO; SILVA, MAGNO T. M.. Channel equalization for synchronization of chaotic maps. DIGITAL SIGNAL PROCESSING, v. 33, p. 42-49, OCT 2014. (14/04864-2, 12/24835-1)